[User]
Reasoning: Answer E) 9600 yards need 1200 lbs
1 Yard will need 800/9600 = 1/12 lbs
3600 Yards will need 1/12* 3600 Yards = 300lbs
Ans: (E)
Question: A football field is 9600 square yards. If 800 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards?
Options:
(A) 450
(B) 600
(C) 750
(D) 2400
(E) 300

Rationale: Number = (12 * 35) = 420
Correct quotient = 420/21 = 20
The answer: (D)
Question: In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 35 as quotient. What is the correct quotient?
Options:
(A) 0
(B) 12
(C) 13
(D) 20
(E) 22

Reasoning: First even minus first odd = 2-1 = 1;
The sum of first 2 even integers minus the sum of first 2 odd integers = (2+4)-(1+3) = 2;
The sum of first 3 even integers minus the sum of first 3 odd integers = (2+4+6)-(1+3+5) = 3;
We can see the patterns here, so the sum of first 20 positive even integers minus the sum of first 20 positive odd integers will be 20.
Ans: (B)
Question: If X is the sum of first 20 positive even integers and Y is the sum of first 20 positive odd integers, what is the value of x-y?
Please try to explain your answers
Options:
(A) 0
(B) 20
(C) 50
(D) 75
(E) 100

Rationale: Clearly, 97 is a prime number.
The answer: (D)
Question: Which of the following is a prime number ?
Options:
(A) 90
(B) 94
(C) 96
(D) 97
(E) 98

Reasoning: This is an alternating addition and subtraction series. In the first pattern, 10 is subtracted from each number to arrive at the next. In the second, 5 is added to each number to arrive at the next.
Ans: (A)
Question: Look at this series: 80, 10, 70, 15, 60, ... What number should come next?
Options:
(A) 20
(B) 23
(C) 25
(D) 30
(E) 35

Reasoning: Total cost involved for each 75 $ shipment: 3+2 = 5 $. Thus, for two such orders = 10$
Total cost involved for a 150$ shipment: 3+3 = 6$. Thus, for two such orders = 12$
The difference = 2$.
Ans: (B)

[Assistant]
Question: For every order, a certain mail-order company charges a shipping fee of $3 plus an additional $2 if the value of the order is over $50 but not over $100 or an additional $3 if the value of the order is over $100. How much greater are the total shipping fees for 2 orders of $75 each than the total shipping fee for 2 order of $150 ?
Options:
(A)  $1
(B)  $2
(C)  $3
(D)  $4
(E)  $5


[User] Reconstruct a question, answer pair from this explanation: Time = (100 x 100)/(500 x 5) years = 4 years.

[Assistant]
Q:How much time will it take for an amount of 500 to yield 100 as interest at 5% per annum of simple interest?
Options:
(A) 3 year
(B) 4 year
(C) 6 year
(D) 5 year
(E) 7 year
A:(B)


[User]
Given the stream of consciousness rationale, provide a reasonable question and answer. Rationale: 2 + 3 + 5 + 7 +11 + 13 + 17 + 23 + 29 = 100 ( sum is even)
Least number = 2
 The question and answer:

[Assistant]
Q is a set of nine distinct prime numbers. If the sum of the integers in Q is even and the number x is a member of Q, then what is the least value that x can be?
Options:
(A) 2
(B) 3
(C) 4
(D) 5
(E) 7
The answer is (A)


[User]
Population after n years = P [1 + (R/100)]2
Population after 2 years = 130000 * [1 + 6/100]2 = (130000 x 53/50 x 53/50) = 146068
This justifies what answer for what question? Q & A:

[Assistant]
he population of a city is 130,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?
Options:
(A) 146069
(B) 146067
(C) 156068
(D) 146068
(E) 179718
(D)


[User]
Maximum points of intersection between n different circles = n*(n - 1) = 20*19 = 380
This justifies what answer for what question? Q & A:

[Assistant]
There are different 20 circles. What is the number of the greatest possible points with which the circles intersect?
Options:
(A) 380
(B) 200
(C) 110
(D) 180
(E) 200
(A)


[User]
Rule of Subtraction: P(A) = 1 - P(A')
Rule of Multiplication: P(A ∩ B) = P(A) P(B)
The probability that the pitcher throws a strike at least once in 2 guesses is 1- (3/5)^2 = 1 - 9/25 = 16/25 > 50%.is the reasoning for what question and answer pair?

[Assistant]
Q: During a particular baseball game, the probability of a team's pitcher throwing a strike on each throw is 2/5. What is the least number of times that the pitcher should pitch the ball that will increase the probability of getting a strike at least once to more than 50%.
Options:
(A) 3
(B) 2
(C) 1
(D) 4
(E) 5
A: (B)


[User]
For this chain-of-thought reasoning and answer, what was the question?
Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 9 = 150 meter
 A: (A)

[Assistant]
Q: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train?
Options:
(A) 150
(B) 8827
(C) 166
(D) 199
(E) 121


[User]
Rationale: For example, if there were 4 jellybean colors, the girl would have made a 4x4 arrangement. The boy chopped up each jellybean into 4, the number of pieces would be (4*4)*4 = 64 pieces, which is a cube of 4.
The answer: (D)
Question: A girl is organizing her jellybean collection in which each color has its own row. In each row, there are as many jellybeans as the number of jellybean colors. Her little brother chops each jellybean into the same number of peices as the number of jellybean colors. If the final number of jellybean pieces is m, then:
Options:
(A) m is a perfect square
(B) m is an odd number
(C) m is an even number
(D) m is a perfect cube.
(E) None

Reasoning: Total number of ways = 8!*2!.
Ans: (E)
Question: There are 11 person among whom 2 are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1 person sit between the brothers, is equal to?
Options:
(A) 4!*2!
(B) 7!*2!
(C) 6!*1!
(D) 2!*1!
(E) 8!*2!

Rationale: Largest 3 digit number is 999
After doing 999 ÷ 88 we get remainder 31
Hence largest 3 digit number exactly divisible by 88 = 999 - 31 = 968
The answer: (E)
Question: Find the largest 3 digit number which is exactly divisible by 88?
Options:
(A) 765
(B) 907
(C) 944
(D) 954
(E) 968

Reasoning: The probability of selecting girl is: 30/100 = 3/10
The probability of selecting rich is: 20/100 = 1/5
The probability of selecting fair complexioned is: 40/100 = 2/5
Three are independent;probability of rich and fair complexioned girl is:
(3/10) Ã—(1/5) Ã— (2/5) = 3/125
Ans: (A)
Question: A class consists of 100 students, 30 of them are girls and 70 boys; 20 of them are rich and remaining poor; 40 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is
Options:
(A) 3/125
(B) 1/59
(C) 1/56
(D) 1/54
(E) 1/53

Rationale: Let the number be x. Then, x + 13x = 112 14x = 112 x = 8.
The answer: (B)
Question: Find the number which when added to itself 13 times, gives 112.
Options:
(A) 7
(B) 8
(C) 9
(D) 10
(E) 11

Rationale: P(at least one red) = 1 - P(no red, so 2 blue) = 1- 2/5*1/4 = 9/10.
The answer: (C)

[Assistant]
Question: In a jar there are 3 red gumballs and 2 blue gumballs. What is the probability of drawing at least one red gumball when drawing two consecutive balls randomly?
Options:
(A) 2/5
(B) 16/20
(C) 9/10
(D) 3/5
(E) 1/3


[User] Come up with a question and reasoning that would justify this answer: (D)

[Assistant]
The question is: A train running at the speed of 60 km/hr crosses a pole in 3 sec. What is the length of the train?
Options:
(A) 85 m
(B) 70 m
(C) 115 m
(D) 50 m
(E) 150 m
Step-by-step reasoning process: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 3 = 50 m


[User]
Reasoning: There will be 2 series
1st: 72 73 74 75 76 (Increasing by 1)
2nd: 76 77 78 79 (Increasing by 1)
Final: 72 76 73 77 74 78 75
Ans: (D)
Question: Look at this series: 72, 76, 73, 77, 74, __, 75, ... What number should fill the blank?
Options:
(A) 70
(B) 71
(C) 75
(D) 78
(E) 74

Rationale: Number of ways = 7!/3!2! = 7X6X5X4X3X2X1/3X2X1X2X1 = 420
The answer: (D)
Question: In how many different ways can the letters of the word â€˜DIVIDEDâ€™ be arranged?
Options:
(A) 250
(B) 280
(C) 300
(D) 420
(E) 360

Reasoning: Time = Distance/Speed
120/60 = 2
Ans: (D)
Question: A truck traveled 120 km with a speed of 60 kmh. How much time did it take to reach the destination?
Options:
(A) 3 hours
(B) 4 hours
(C) 5 hours
(D) 2 hours
(E) 6 hours

Rationale: D = 100 + 180 = 280
S = 36 * 5/18 = 10 mps
T = 280/10 = 28 sec
The answer: (B)
Question: How many seconds will a train 100 meters long take to cross a bridge 180 meters long if the speed of the train is 36 kmph?
Options:
(A) 54 sec
(B) 28 sec
(C) 25 sec
(D) 45 sec
(E) 24 sec

Reasoning: (80/100) * 60 â€“ (4/5) * 25
48 - 20 = 28
Ans: (B)
Question: How much is 80% of 60 is greater than 4/5 of 25?
Options:
(A) 15
(B) 28
(C) 16
(D) 12
(E) 73

Reasoning: ? = 21⁄25 × 20⁄9 × 5⁄12 ÷ 17⁄10 = 119⁄90 = 129⁄90
Ans: (D)

[Assistant]
Question: What should come in the place of the question mark(?) in the following equation?
21⁄25 ÷ 9⁄20 × 5⁄12 ÷ 10⁄17
Options:
(A) 7 77⁄125
(B) 11 9⁄10
(C) 119⁄450
(D) 1 29⁄90
(E) None of these


[User]
Rationale: Suppose Q invested Rs. y. Then, 500000/y = 2/4 or y = [500000 x 4 / 2] = 1000000.
The answer: (C)
Question: P and Q invested in a shop. The profits were divided in the ratio of 2 : 4 respectively. If P invested Rs. 500000, the amount invested by Q is:
Options:
(A) 5000000
(B) 4000000
(C) 1000000
(D) 6000000
(E) None

Reasoning: The number of children going to the picnic are 25
The answer will be D because only 75 is divisible by 25
Ans: (D)
Question: 25 children are going to a picnic. What is the smallest number of cakes that must be brought to the picnic so that each child receives the same number of cakes?
Options:
(A) 35
(B) 40
(C) 15
(D) 75
(E) 9

Rationale: (1056 / 23) gives remainder 21
21 + 2 = 23, So we need to add 2
The answer: (B)
Question: What is theleast number should be added to 1056, so the sum of the number is completely divisible by 23?
Options:
(A) 1
(B) 2
(C) 4
(D) 6
(E) 7

Reasoning: 20 + 24 + 8 * 2 = 60/2 = 30
Ans: (A)
Question: The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
Options:
(A) 30
(B) 35
(C) 32
(D) 40
(E) 46

Rationale: 12 m/s = 12 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 12 * 18/5 * 15/4 km = 162 km.
The answer: (B)
Question: If a man can cover 12 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 192 km
(B) 162 km
(C) 172 km
(D) 168 km
(E) 112 km

Rationale: Clearly, 37 is a prime number.
The answer: (A)

[Assistant]
Question: Find a a prime number from the options below.
Options:
(A) 37
(B) 38
(C) 39
(D) 40
(E) 42


[User]
Stream of consciousness rationale: P = P(A wins, B wins, C loses) + P(A wins, B loses, C wins) + P(A loses, B wins, C wins) = 1/5*3/8*4/7 + 1/5*5/8*3/7 + 4/5*3/8*3/7 = 63/280.
The question and answer pair are described below.

[Assistant]
Q: Alice, Benjamin, and Carol each try independently to win a carnival game. If their individual probabilities for success are 1/5, 3/8, and 3/7, respectively, what is the probability that exactly two of the three players will win but one will lose?
Options:
(A) 63/280
(B) 1/280
(C) 3/56
(D) 3/35
(E) 7/40
A: (A)


[User]
Explain simply why (D) is the correct answer to: A and B can do a work in 6 days, B and C in 2 days and C and A in 8 days. In how many days will the work be completed, if all three of them work together?
Options:
(A) 12/24
(B) 48/63
(C) 45/56
(D) 48/19
(E) 28/12. Explanation:

[Assistant]
One day work of A and B = 1/6
One day work of B and C = 1/2
One day work of C and A = 1/8
2(A + B + C) = 1/6 + 1/2 + 1/8
2(A + B + C) = 19/24
(A + B + C) = 19/48
Number of days required = 48/19 days.


[User]
What was the question for this implicit rationale, and corresponding answer?
4 points are possible in which 1 point is the incentre of the circle and other 3 are excentres
 The answer: (C)

[Assistant]
The question: Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is
Options:
(A) 1
(B) 3
(C) 4
(D) 0
(E) 2


[User]
Rationale: 6 people can be prized with 4 distinct prizes in 6^4 ways
The answer: (C)
Question: In a race with 30 runners where 4 trophies will be given to the top 6 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?
Options:
(A) 8^8 ways
(B) 8^9 ways
(C) 6^4 ways
(D) 8^7 ways
(E) 8^6 ways

Reasoning: Clearly, 89 is a prime number.
Ans: (D)
Question: Find a a prime number from the options below.
Options:
(A) 86
(B) 87
(C) 88
(D) 89
(E) 90

Rationale: P1 takes 12 hrs
Rate for P2P3 together = 1/25 + 1/30 = 11/150
Therefore they take 150/11
Ratio = 150/11 =
The answer: (D)
Question: Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 25, and 30 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?
Options:
(A)  4/11
(B)  1/2
(C)  15/22
(D)  150/11
(E)  11/4

Reasoning: On dividing 165826 by 4 we get the remainder 2, so 2 should be subtracted
Ans: (B)
Question: Find the least number must be subtracted from 165826 so that remaining no.is divisible by 4?
Options:
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

Rationale: Upfront payment for insurance plan = 900$
Family needs to pay 20 % of first 1000 $ in expense = 200$
Total amount paid by family when medical expenses are equal to or greater than 1000 $ = 900 + 200 = 1100 $
Total amount paid by insurance plan for first 1000 $ = 900 $
Total amount paid by family will equal amount paid by plan when medical expense = 1300 $
(Since insurance plan will pay 100% of amount that exceeds 1100$ )
The answer: (C)
Question: A family pays $900 per year for an insurance plan that pays 80 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total.
Options:
(A) $1,000
(B) $1,200
(C) $1,300
(D) $1,800
(E) $2,200

Rationale: 12
12 × 4 + 2 = 50
50 × 4 + 2 = 202
202 × 4 + 2 = 810
810 × 4 + 2 = 3242
3242 × 4 + 2 = 12970
The answer: (C)

[Assistant]
Question: What number comes next in the following number series? 12, 50, 202, 810, 3242, _____
Options:
(A) 12400
(B) 12800
(C) 12970
(D) 13015
(E) 16000


[User]
Consider the question. A number is said to be prime saturated if the product of all the different positive prime factors of n is less than the square root of n. What is the greatest two digit prime saturated integer ?
Options:
(A) 99
(B) 98
(C) 97
(D) 96 answer
(E) 95
 What is the step-by-step reasoning process to arrive at the answer: (D)?

[Assistant] The square roots of all numbers from answer choices are between 9 and 10, so the product of primes of the number we are looking should be less then 9, so this number should have only 2-s, only 3-s, only 5-s, or only 2-s and 3-s as its primes. Only 96 satisfies this.


[User]
Consider the question. A train 460 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Options:
(A) 40
(B) 87
(C) 48
(D) 21
(E) 14
 If the answer is '(C)'; explain the reasoning:

[Assistant]
Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 460 + 140 = 600 m
Required time = 600 * 2/25 = 48 se


[User]
Question. How many common two-digit whole numbers are there which gives a remainder of 2 when divided by 9 and gives a remainder of 5 when divided by 8?
Options:
(A) Five
(B) Three
(C) One
(D) Two
(E) Four
Answer. (C)
What step-by-step reasoning justifies that answer?

[Assistant]
Reasoning: Answer = C) One
Two digit numbers giving remainder 2 when divided by 9 = 11, 20, 29, 38, 47, 56, 65, 74, 83, 92
Two digit numbers giving remainder 5 when divided by 8 = 13, 21, 29, 37, 45, 53, 61, 69, 77, 85, 93
Common Numbers = 29 = 1


[User]
Given the following reasoning and answer, what was the question? Sum of 15 even numbers = 15 * 16 = 240
Average = 240/15 = 16
 The answer: (D)

[Assistant]
The question The average of first 15 even numbers is?
Options:
(A) 10
(B) 11
(C) 12
(D) 16
(E) 14


[User]
Rationale: 1/20 + 1/40 = 3/40
40/7 = 5 7/9 days
The answer: (A)
Question: Ravi can do a piece of work in 20 days while Prakash can do it in 40 days. In how many days will they finish it together?
Options:
(A) 5 7/9 days
(B) 6 7/9 days
(C) 5 1/9 days
(D) 5 7/2 days
(E) 4 7/9 days

Reasoning: 4/10+9/X = 1/x = 15
1/10+1/15 = 1/6 = 6 days
Ans: (A)
Question: A can do a piece of work in 10 days. He works at it for 4 days and then B finishes it in 9 days. In how many days can A and B together finish the work?
Options:
(A) 6
(B) 8
(C) 12
(D) 15
(E) 20

Rationale: 49920 /12 = 4160
3840 /10 = 416
416 /8 = 52
The answer: (A)
Question: What will come in place of the x in the following Number series? 49920, 4160, 416, x
Options:
(A) 52
(B) 3
(C) 4
(D) 5
(E) 6

Reasoning: 10000(11/10)4 - 10000(6/5)2 = 241
Ans: (A)
Question: How much more would Rs.10000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Options:
(A) 241
(B) 725
(C) 992
(D) 837
(E) 923

Rationale: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 9 = 150 meter
The answer: (A)
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.
Options:
(A) 150
(B) 88
(C) 2767
(D) 288
(E) 712

Rationale: 2 + 3 + 5 + 7 +11 + 13 + 17 + 23 + 29 = 100 ( sum is even)
Least number = 2
The answer: (A)

[Assistant]
Question: Q is a set of nine distinct prime numbers. If the sum of the integers in Q is even and the number x is a member of Q, then what is the least value that x can be?
Options:
(A) 2
(B) 3
(C) 4
(D) 5
(E) 7


[User]
Reconstruct a question, answer pair from this explanation: D = 540 + 180 = 720
S = 54 * 5/18 = 15 mps
T = 720/15 = 48 se

[Assistant]
Q:A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
Options:
(A) 66 sec
(B) 46 sec
(C) 48 sec
(D) 65 sec
(E) 64 sec
A:(C)


[User]
Answer: (A)
Question: The average of 11 results is 44, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?
Options:
(A) 125
(B) 126
(C) 127
(D) 128
(E) 129
[CoT]: [1 to 11 = 11 * 44 = 484
1 to 5 = 5 * 49 = 245
5 to 11 = 7 * 52 = 364
5th = 245 + 364 – 484 = 125]

Answer: (B)
Question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
Options:
(A) 3002
(B) 3000
(C) 3018
(D) 3019
(E) 3012
[CoT]: [60*5:36*6:75*3
100: 72: 75
100/247 * 7410 = 3000]

Answer: (E)
Question: A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
Options:
(A) 120 m
(B) 190 m
(C) 115 m
(D) 110 m
(E) 150 m
[CoT]: [Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 9 = 150 m]

Answer: (B)
Question:

[Assistant]
The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Options:
(A) 22
(B) 75
(C) 44
(D) 28
(E) 12
[CoT]: [S = (90 + 60)/2 = 75 kmph]


[User]
For this chain-of-thought reasoning and answer, what was the question?
70/280 = 1/4
1/4 × 100 = 25 %
 A: (B)

[Assistant]
Q: What percent is 70 of 280?
Options:
(A) 12 %
(B) 25 %
(C) 26 %
(D) 27 %
(E) 28 %


[User]
Rationale: Odd x Odd = Odd
Odd x Even = Even
Even x Even = Even
To fulfill condition Either (A+1) or (B+1) needs to be Even
So either A or B needs to be odd
Or At Least one of them is odd.
The answer: (C)
Question: A and B are integers. The expression (A+1)(B+1) is even. What can be said about A and B?
Options:
(A) They are both even numbers.
(B) At least one of them is even
(C) At least one of them is odd.
(D) They are both odd.
(E) Nothing can be said surly on A and B

Reasoning: Since, expenditure = price × consumption
∴ 110% of 30 = 132⁄100 × new consumption
⇒ 110⁄100 × 30 = 132⁄100 × new consumption
⇒ New consumption = 25 kg
Ans: (B)
Question: When the price of sugar was increased by 32%, a family reduced its consumption in such a way that the expenditure on sugar was only 10% more than before. If 30 kg were consumed per month before, find the new monthly consumption.
Options:
(A) 20 kg
(B) 25 kg
(C) 30 kg
(D) 35 kg
(E) None of these

Rationale: 10 * 157 = 1570
3 * 100 + 5 * 150 = 1050
1570 – 1050 = 520
The answer: (E)
Question: A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.157. Find the unknown rate of two blankets?
Options:
(A) 420
(B) 550
(C) 490
(D) 450
(E) 520

Reasoning: Area of the outer rectangle = 19 × 16 = 304 m2
Area of the inner rectangle = 15 × 12 = 180 m2
Required area = (304 – 180) = 124 m2
Ans: (A)
Question: The floor of a rectangular room is 15 m long and 12 m wide. The room is surrounded by a verandah of width 2 m on all its sides. The area of the verandah is :
Options:
(A) 124 m2
(B) 120 m2
(C) 108 m2
(D) 58 m2
(E) None of these

Rationale: 11 + 13 + 17 + 19 = 60/4 = 15
The answer: (C)
Question: The average of first four prime numbers greater than 10 is?
Options:
(A) 10
(B) 20
(C) 15
(D) 40
(E) 50

Rationale: (555 + 445) * 2 * 110 + 10 = 220000 + 10 = 220010
The answer: (A)

[Assistant]
Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 10 as remainder. Find the no. is?
Options:
(A) 220010
(B) 145778
(C) 220110
(D) 235467
(E) 220001


[User]
Rationale: 3 hours at a speed of 20 miles per hour gives us Distance = 20*3 = 60 miles
6 hours at a speed of 30 miles per hour gives us Distance = 30*6 = 180 miles
1 more hour at 40 miles per hour gives us Distance = 40*1 = 40 miles
Total Distance = 60+180+40 = 280 miles
Total Time = 3+6+1 = 10 Hours
Average Speed = 280 / 10 = 28 Miles per hour
The answer: (C)
Question: Joel sailed for 3 hours at a speed of 20 miles per hour, then for 6 hours at 30 miles per hour and finally, 1 more hour at 40 miles per hour. What was the average speed of Joel during the whole sail?
.
Options:
(A) 25
(B) 27.5
(C) 28
(D) 30
(E) 32

Reasoning: ? = 5978 + 6134 + 7014 = 19126
Ans: (D)
Question: What should come in place of the question mark (?) in the following equation?
5978 + 6134 + 7014 = ?
Options:
(A) 19226
(B) 16226
(C) 19216
(D) 19126
(E) None of these

Rationale: Clearly, 97 is a prime number.
The answer: (B)
Question: Find a a prime number from below options?
Options:
(A) 84
(B) 97
(C) 98
(D) 100
(E) 102

Reasoning: 125% of 120% of A = 222
125/100 * 120/100 * A = 222
A = 222 * 2/3 = 148.
Ans: (B)
Question: A sells a Cricket Bat to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays $222 for it, the cost price of the Cricket Bat for A is:
Options:
(A) 150
(B) 148
(C) 130
(D) 160
(E) 210

Rationale: 52nd/56th/60th/70th/82nd
The answer: (C)
Question: Sarah's grade was 50th percentile of the 20 grades for her class. Of the 30 grades from another class, 10 were higher than Sarah's, and the rest were lower. If no other grade was the same as Sarah's grade, then Sarah's grade was what percentile of the grades of the two classes of two classes combined?
Options:
(A) 52nd
(B) 56th
(C) 60th
(D) 70th
(E) 82nd

Rationale: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 280 * 2/35 = 16 sec
The answer: (B)

[Assistant]
Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 18 sec
(B) 16 sec
(C) 76 sec
(D) 15 sec
(E) 17 sec


[User]
Given the rationale, provide a reasonable question and answer. Step-by-step reasoning process: 8C1 + 8C2+ 8C3+8C4+8C5+8C6+8C7+8C8 = 395.
 The question and answer:

[Assistant]
Guna has 8 flavors of ice cream in him parlor. How many options are there for Thilak to pick a one-flavor, two-flavor, three-flavor, four-flavor, five-flavor, six-flavor,seven-flavor or eight-flavor order?
Options:
(A) 223
(B) 395
(C) 448
(D) 774
(E) 835
The answer is (B)


[User]
Q: Three years ago, the average age of a family of 5 members was 17. A baby having been born, the average age of the family is the same today. What is the age of the child?
Options:
(A) 3
(B) 2
(C) 4
(D) 1
(E) 5
A: (B)
Explain how we arrive at this answer:

[Assistant]
Explanation: Present age of 5 members = 5 x 17 + 3 x 5 = 100 years
Also, present ages of 5 members + Age of the baby = 6 x 17 = 102 years
Age of the baby = 102 – 100 = 2 years.


[User] Imagine a question and stream-of-consciousness explanation for which this is the answer: (E)

[Assistant]
Question: Alice, Benjamin, and Carol each try independently to win a carnival game. If their individual probabilities for success are 1/5, 3/8, and 2/7, respectively, what is the probability that exactly two of the three players will win but one will lose?
Options:
(A) 3/140
(B) 1/28
(C) 3/56
(D) 3/35
(E) 7/40
Stream-of-consciousness: P = P(A wins, B wins, C loses) + P(A wins, B loses, C wins) + P(A loses, B wins, C wins) = 1/5*3/8*5/7 + 1/5*5/8*2/7 + 4/5*3/8*2/7 = 7/40.


[User]
Reconstruct a question, answer pair from this explanation: D = 25 * 60 + 4500 = 6000 m
T = 6000/60 * 18/5 = 360 sec = 6 mins

[Assistant]
Q:A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 4.5 km long?
Options:
(A) 4
(B) 3
(C) 5
(D) 6
(E) 9
A:(D)


[User]
[Ques]: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
Options:
(A) 92/37
(B) 33/91
(C) 71/28
(D) 91/42
(E) 91/33
*Ans*: (B)
--CoT--: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. When four marbles are picked at random, then the probability that none is blue is = Â¹Â²Câ‚„/Â¹âµCâ‚„ = (12 * 11 * 10 * 9)/(15 * 14 * 13 * 12) = 33/91

[Ques]: How many common two-digit whole numbers are there which gives a remainder of 2 when divided by 9 and gives a remainder of 5 when divided by 8?
Options:
(A) Five
(B) Three
(C) One
(D) Two
(E) Four
*Ans*: (C)
--CoT--: Answer = C) One
Two digit numbers giving remainder 2 when divided by 9 = 11, 20, 29, 38, 47, 56, 65, 74, 83, 92
Two digit numbers giving remainder 5 when divided by 8 = 13, 21, 29, 37, 45, 53, 61, 69, 77, 85, 93
Common Numbers = 29 = 1

[Ques]: A rectangular garden is 12m by 5m, what is its area?
Options:
(A) 12 square meters
(B) 5 square meters
(C) 44 square meters
(D) 60 square meters
(E) 22 square meters
*Ans*: (D)
--CoT--: Area of a Rectangle: A = w × h
D) 60 square meters

[Ques]: Two pipes A and B can fill a cistern in 15 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Options:
(A) 17 1/4 min
(B) 28 1/7 min
(C) 17 1/7 min
(D) 13 3/7 min
(E) 17 5/7 min
*Ans*: (D)

[Assistant]
--CoT--: 1/15 + 1/30 - 1/40 = 9/120
120/9 = 13 3/7


[User] Come up with a question and stream of consciousness reasoning that would justify this answer: (E)

[Assistant]
The question is: If a company allocates 15 percent of its budget to advertising, 20 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?
Options:
(A) 4/5
(B) 3/5
(C) 3/10
(D) 1/5
(E) 1/10
Stream of consciousness: 15 + 20 + 55 = 90% 100 - 90 = 10% to all others


[User]
Rationale: The total of seven numbers = 7X18 = 126
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (126 - 99 ) = 27
The answer: (B)
Question: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Options:
(A) 25
(B) 27
(C) 29
(D) 32
(E) 34

Reasoning: Total 4 members minimum required to serve only on one committee.
Ans: (A)
Question: a certain organization has three committees. only two persons are members of all committees, but every pair of committees have three members in common. what is the least possible no of member of members on any one committee?
Options:
(A) 4
(B) 5
(C) 6
(D) 7
(E) 8

Rationale: Final number = Initial number + 50%(original number) = 60 + 50%(60) = 60 + 30 = 90.
The answer: (C)
Question: 60 is increased by 50%. Find the final number.
Options:
(A) 100
(B) 110
(C) 90
(D) 30
(E) 160

Reasoning: 180/10 = 18. The difference is 18 - 15 = 3.
Ans: (B)
Question: A certain car uses 12 gallons of gasoline in traveling 180 miles. In order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car’s gas mileage be increased?
Options:
(A) 2
(B) 3
(C) 6
(D) 8
(E) 10

Rationale: 9 = (1*40*R)/100
R = 22 1/2 %
The answer: (D)
Question: If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
Options:
(A) 22 1/9 %
(B) 22 2/2 %
(C) 23 1/2 %
(D) 22 1/2 %
(E) 62 1/2 %

Rationale: (22/2) ( 2+3) * 2 = 28 =
The answer: (E)

[Assistant]
Question: A carpenter is building a frame for a wall painting. The painting is in the shape of a rectangle. If the sides of the rectangle are in the ratio of 3:2 and the shorter side has a length of 22 inches, how many inches of framing material does the carpenter need to frame the painting?
Options:
(A) 12
(B) 22 1/2
(C) 37 1/2
(D) 50
(E) 28


[User]
Reasoning: 73 is divisible by 1 and itself So, it is a prime number.
Ans: (D)
Question: Which one of the following is a prime number?
Options:
(A) 45
(B) 90
(C) 81
(D) 29
(E) 91

Rationale: 1/15 + 1/30 - 1/40 = 9/120
120/9 = 13 3/7
The answer: (D)
Question: Two pipes A and B can fill a cistern in 15 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Options:
(A) 17 1/4 min
(B) 28 1/7 min
(C) 17 1/7 min
(D) 13 3/7 min
(E) 17 5/7 min

Reasoning: 20 m/s = 20 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 20 * 18/5 * 15/4 km = 270 km.
Ans: (D)
Question: If a man can cover 20 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 288
(B) 162
(C) 220
(D) 270
(E) 122

Rationale: Sum of all the 13 numbers = 13 * 60 = 780
Sum of the first 7 of them = 7 * 57 = 399
Sum of the last 7 of them = 7 * 61 = 427
So, the 8th number = 427 + 399 - 780 = 46.
The answer: (A)
Question: The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
Options:
(A) 46
(B) 83
(C) 45
(D) 53
(E) 64

Reasoning: (16/10)*(4/10) = 64/100 of original area
64/100 is a 36% decrease from 100/100 ->
Ans: (C)
Question: What is the % change in the area of a rectangle when its length increases by 60% and its width decreases by 60%?
Options:
(A) 0%
(B) 20% increase
(C) 36% decrease
(D) 1% decrease
(E) Insufficient data

Reasoning: T = 56/39 * 18/5 = 5 se
Ans: (C)

[Assistant]
Question: In what time will a railway train 56 m long moving at the rate of 39 kmph pass a telegraph post on its way?
Options:
(A) 3 sec
(B) 4 sec
(C) 5 sec
(D) 6 sec
(E) 7 sec


[User]
Rationale: D = 100 + 245 = 345 m
S = 54* 5/18 = 15
T = 345 * 1/15 = 23 sec
The answer: (D)
Question: How long does a train 100 m long traveling at 54 kmph takes to cross a station of 250 m in length?
Options:
(A) 22 sec
(B) 20 sec
(C) 15 sec
(D) 23 sec
(E) 16 sec

Rationale: S = 600/40 = 15 mps
S = 3600/15 = 240 sec = 4 min
The answer: (A)
Question: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Options:
(A) 4 min
(B) 2 min
(C) 8 min
(D) 9 min
(E) 5 min

Rationale: |8 - 9n| represents the distance between 8 and 9n on the number line. Now, the distance will be minimized when 9n, which is multiple of 9, is closest to 8. Multiple of 9 which is closest to 8 is 9 (for n = 1), so the least distance is 1: |8 - 9| = 1.
The answer: (B)

[Assistant]
Question: If n is an integer, then the least possible value of |8 - 9n| is?
Options:
(A) 0
(B) 1
(C) 2
(D) 3
(E) 11


[User]
216^10 = (6^3)^10 = 6^30
This justifies what answer for what question? Q & A:

[Assistant]
What is the greatest positive integer x such that 6^x is a factor of 216^10?
Options:
(A) 5
(B) 9
(C) 10
(D) 20
(E) 30
(E)


[User]
[Ans] (B)
[Question] Find the least number must be subtracted from 378461 so that remaining no.is divisible by 13?
Options:
(A) 4
(B) 5
(C) 7
(D) 6
(E) 8
[CoT] On dividing 378461 by 13 we get the remainder 5, so 5 should be subtracted

[Ans] (D)
[Question] A train 310 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Options:
(A) 40 sec
(B) 50 sec
(C) 44 sec
(D) 36 sec
(E) 60 sec
[CoT] Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 310 + 140 = 450 m
Required time = 450 * 2/25 = 36 sec

[Ans] (C)
[Question]

[Assistant]
The average age of a family of 6 members is 28 years.If the age of the youngest member is 7 years,what was the average age of the family at the birth of the youngest member?
Options:
(A) 15
(B) 18
(C) 21
(D) 12
(E) 19
[CoT] Present age of total members = 6 X 28 = 168
7 yrs back their ages were = 6 x 7 = 42
Ages at the birth of youngest member = 168 - 42 = 126
Therefore, avg age at the birth of youngest member = 126/6 = 21.


[User] Come up with a question and stream of consciousness reasoning that would justify this answer: (D)

[Assistant]
The question is: Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?
Options:
(A) 299
(B) 277
(C) 266
(D) 992
(E) 188
Stream of consciousness: (800*3*3)/100 = 72
920 + 72 = 992


[User]
Reasoning: There are 36 students and every one has equal chance of being selected as a leader. Hence, the leader can be appointed in 36 ways. When one person is appointed as leader, we are left with 35 students. Out of these 35 teachers, we can select one class representative. So, a class representative can be selected in 35 ways. Hence, the number of ways in which a leader and class representative can be selected = 36 x 35 = 1260
Ans: (B)
Question: From among the 36 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
Options:
(A) 1360
(B) 1260
(C) 1060
(D) 1160
(E) 1460

Rationale: (1 man + 1 woman)’s 1 day work = 1/3 + 1/4 = 7/12
Work done by 1 man and 1 women in 1/4 day = ((7/12) x (1/4)) = 7/48
Remaining work = 1 - 7/48 = 41/48
Work done by 1 boy in 1/4 day = ((1/12) x (1/4)) = 1/48
Therefore, Number of boys required = ((41/48) x 48) = 41
The answer: (A)
Question: A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4 of a day?
Options:
(A) 41
(B) 43
(C) 31
(D) 84
(E) 81

Reasoning: 2/3 * 6/7 * 1/3 * 1/8 = 1/42
Ans: (B)
Question: The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?
Options:
(A) 1/56
(B) 1/42
(C) 1/40
(D) 1/41
(E) 1/47

Rationale: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25 = 40 sec
The answer: (A)
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Options:
(A) 40
(B) 99
(C) 77
(D) 66
(E) 12

Reasoning: D = 210 + 120 = 330
S = 54 * 5/18 = 15 mps
T = 330/15 = 22 sec
Ans: (B)
Question: A train 210 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 120 meters long is?
Options:
(A) 29
(B) 22
(C) 48
(D) 99
(E) 11

Reasoning: Answer: A. There is exactly one. The prime factorization of 14 is 14 = 2*7, so N = 2*7*p = 7*2*p = 7*2p, so 2p is the only even number that divides N.
Ans: (A)

[Assistant]
Question: Let p be a prime number greater than 2 and let N = 14p. How many even numbers divide N?
Options:
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5


[User]
Reasoning: D = 100 + 245 = 345 m
S = 54* 5/18 = 15
T = 345 * 1/15 = 23 sec
Ans: (D)
Question: How long does a train 100 m long traveling at 54 kmph takes to cross a station of 250 m in length?
Options:
(A) 22 sec
(B) 20 sec
(C) 15 sec
(D) 23 sec
(E) 16 sec

Rationale: Answer: Option A
Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (distance) = speed * Time
(50/3) * 9 = 150 meter
The answer: (A)
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.
Options:
(A) 150 m
(B) 155 m
(C) 180 m
(D) 190 m
(E) 205 m

Reasoning: Original price = 1120 × 100⁄70 × 100⁄80 = 2000
Ans: (D)
Question: A shopkeeper gave an additional 20 per cent concession on the reduced price after giving 30 per cent standard concession on an article. If Arun bought that article for 1,120, what was the original price?
Options:
(A) 3,000
(B) 4,000
(C) 2,400
(D) 2,000
(E) None of these

Rationale: Let the length W of the rectangle be 100x, and width be 100y. Area = 100x * 100y = 10000xy
Now after the change Length = 85x, and width = 140 y. Area = 11900xy
% Change = (11900xy - 10000xy)/(10000xy) = 19 % Increase. Hence
The answer: (D)
Question: The length W of a rectangle is decreased by 15% and its width is increased by 40%. Does the area of the rectangle decrease or increase and by what percent?
Options:
(A) Decreases by 19%
(B) Decreases by 25%
(C) Increases by 6%
(D) Increases by 19%
(E) Increases by 25%

Reasoning: 888 = 8*111 = 3*8*37
Hence 888 is a multiple of 37 and we need at least one 37 in N!
Therefore least value of N! is 37!, which will contain all of 3, 8, and 37.
Ans: (D)
Question: What is the least value of integer N such that N! is divisible by 888 ?
Options:
(A) 13
(B) 88
(C) 31
(D) 37
(E) D)  888

Reasoning: Simple interest = (18000 * 5 * 15)/100 = Rs. 13500
Amount = P + I = 18000 + 13500 = Rs. 31500
Ans: (A)

[Assistant]
Question: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for five years?
Options:
(A) 31500
(B) 27773
(C) 29989
(D) 28800
(E) 29883


[User]
[Ans] (E)
[Question] Preethi has 6 flavors of ice cream in his parlor. How many options are there for Dorathy to pick a one-flavor, two-flavor, three-flavor, four-flavor, five flavor or six flavor order?
Options:
(A) 26
(B) 36
(C) 64
(D) 67
(E) 63
[CoT] 6C1 + 6C2+ 6C3+6C4+6C5+6C6 = 63.

[Ans] (A)
[Question] In how many years does a sum of Rs. 5000 yield a simple interest of Rs. 16500 at 15% p.a.?
Options:
(A) 22
(B) 20
(C) 25
(D) 30
(E) 35
[CoT] T = (100 * 16500)/(15 * 5000) = 22 years

[Ans] (C)
[Question]

[Assistant]
There are 7 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them?
Options:
(A) 90
(B) 120
(C) 315
(D) 180
(E) 200
[CoT] Number of ways of selecting 2 fiction books = 7C2
Number of ways of selecting 2 non fiction books = 6C2
7C2 * 6C2 = 21 * 15 = 315


[User]
8C1 + 8C2+ 8C3+8C4+8C5+8C6+8C7+8C8 = 395.
Guna has 8 flavors of ice cream in him parlor. How many options are there for Thilak to pick a one-flavor, two-flavor, three-flavor, four-flavor, five-flavor, six-flavor,seven-flavor or eight-flavor order?
Options:
(A) 223
(B) 395
(C) 448
(D) 774
(E) 835
(B)

Number of gallons of fuel per mile = 500 /20 = 25 gallons per mile
Number of gallons of fuel for a 1000 mile car = 1000/25 = 40
A car has a 20-gallon fuel to travel 500 miles.At this rate, how many gallons of fuel are needed for a 1000 mile car ?
Options:
(A) 10
(B) 30
(C) 20
(D) 40
(E) 50
(D)

Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 350 * 2/35 = 20 sec

[Assistant]
A train 350 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 15 sec
(B) 16 sec
(C) 18 sec
(D) 20 sec
(E) 25 sec
(D)


[User]
What was the question for this implicit rationale, and corresponding answer?
Minumum points for (may condition): 4
 The answer: (C)

[Assistant]
The question: 8 teams.each teams play twice with other teams.win =2poins. lose =0 points. no draw/match abandonment.top four go semis.if same points runrate considered. whats the minimum num of points with which a team may go to semis
Options:
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6


[User]
What was the question for this implicit rationale, and corresponding answer?
20 + 24 + 8 * 2 = 60/2 = 30
 The answer: (C)

[Assistant]
The question: The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
Options:
(A) 29
(B) 78
(C) 30
(D) 28
(E) 12


[User]
1/20 - 1/28 = 1/70
70 minutes
This justifies what answer for what question? Q & A:

[Assistant]
A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?
Options:
(A) 22 minutes
(B) 88 minutes
(C) 70 minutes
(D) 77 minutes
(E) 48 minutes
(C)


[User]
Explain simply why (E) is the correct answer to: Find the smallest number which should be multiplied with 560 to make it a perfect square.
Options:
(A) 60
(B) 55
(C) 45
(D) 25
(E) 35. Explanation:

[Assistant]
560 = 2*2*2*2*7*5
Required smallest number = 7 * 5 = 35
35 is the smallest number which should be multiplied with 560 to make it a perfect squar


[User]
Reasoning: Total age of students is 32X16 = 512 Years
Total age inclusive of teacher = 33X (16+1) = 561
So, Teacher's age is 561-512 = 49 Yrs
There is a shortcut for these type of problems
Teacher's age is 16+(33X1) = 49 Years
Ans: (C)
Question: The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
Options:
(A) 45 Years
(B) 46 Years
(C) 49 Years
(D) 52 Years
(E) 54 Years

Rationale: D = 100 + 150 = 250
S = 36 * 5/18 = 10 mps
T = 250/10 = 25 se
The answer: (C)
Question: How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Options:
(A) 22 sec
(B) 77 sec
(C) 25 sec
(D) 18 sec
(E) 17 sec

Reasoning: Based on the given information, the following equation could be dervied: 1% * x + 5% * y + 3% * z = 7% * (x+y+z)
Then use algebra to figure out 6%*x = -2%*y - 4%*z. Thus, 3x = -1y - 2z.
Ans: (A)
Question: Three grades of milk are 1 percent, 5 percent and 3 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 5 percent grade, and z gallons of the 3 percent grade are mixed to give x+y+z gallons of a 7 percent grade, what is x in terms of y and z?
Options:
(A) -1y - 2z
(B) (y +z)  / 4
(C) 2y + 3z
(D) 3y + z
(E) 3y + 4.5z

Rationale: Probability that trouser is not grey = 2/3
Probability that shirt is not grey = 3/4
∴ Required probability = 2/3 x 3/4 = 1/2
The answer: (A)
Question: In wardrobe Karan has 3 trousers. One of them is grey the 2nd blue and the 3rd brown. In his wardrobe he also has 4 shirts. One of them is grey and the other 3are white. He opens his wardrobein the dark and pick out one shirttrouser pair without examination the color. What is the likelihood that neither the shirt nor the trouser is grey?
Options:
(A) 1/2
(B) 2/3
(C) 4/5
(D) 6/11
(E) 4/5

Reasoning: (555 + 445) * 2 * 110 + 50 = 220000 + 50 = 220050
Ans: (C)
Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 50 as remainder. Find the no. is?
Options:
(A) 220060
(B) 145778
(C) 220050
(D) 220800
(E) 220030

Reasoning: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 12 = 200 m
Ans: (E)

[Assistant]
Question: A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?
Options:
(A) 287
(B) 699
(C) 677
(D) 168
(E) 200


[User]
Question. A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
(A) 1:2
(B) 1:5
(C) 1:9
(D) 1:3
(E) 1:1
Answer. (A)
What step-by-step reasoning justifies that answer?

[Assistant]
Reasoning: T = 192/32 = 6 h
T = 6 - 3 = 3
Time Ratio = 6:3 = 2:1
Speed Ratio = 1:2


[User]
Reasoning: 17^200 % 18
(17-18)^200 % 18
(-1)^200 % 18
1 % 18 = 1
Ans: (A)
Question: What will be the remainder when 17^200 is divided by 18
Options:
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

Rationale: Since the weight age of eighth examination is not known, hence can not be determine
The answer: (D)
Question: Sumitra has an average of 56% on her first 7 examinations. How much should she make on her eighth examination to obtain an average of 60% on 8 examinations?
Options:
(A) 88%
(B) 78%
(C) 98%
(D) Cannot be determined
(E) None of these

Reasoning: Circumference C is given by
C = 2πr = 2π*9 = 18 π cm
Ans: (A)
Question: Calculate the circumference of a circular field whose radius is 8 centimeters.
Options:
(A) 18 π cm
(B) 1 π cm
(C) 8 π cm
(D) 19 π cm
(E) 28 π cm

Rationale: Tried to locate a '0' ending multiple of 8 between 500599
Only 560 is present
560 is divisible by 8, so (560 - 8) is also divisible by 8 = 5
The answer: (A)
Question: If the three-digit number 5W2 is evenly divisible by 8, which of the following could be the digit W ?
Options:
(A) 5
(B) 4
(C) 3
(D) 2
(E) 1

Reasoning: 2x2 + x – 3 < 0
⇒ (x – 1)(2x + 3) < 0 or, -3⁄2 < x < 1
Ans: (A)
Question: Which value of x does statisfy the inequality 2x2 + x – 3 < 0?
Options:
(A) -3⁄2 < x < 1
(B) -1 < x < 3⁄2
(C) x > 1
(D) x < -2⁄5
(E) None of these

Reasoning: 1 to 11 = 11 * 49 = 539
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 â€“ 539 = 67
Ans: (B)

[Assistant]
Question: The average of 11 results is 49, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Options:
(A) 21
(B) 67
(C) 18
(D) 25
(E) 23


[User]
Reasoning: Population after n years = P [1 + (R/100)]2
Population after 2 years = 160000 * [1 + 6/100]2 = (160000 x 53/50 x 53/50) = 179776
Ans: (C)
Question: he population of a city is 160,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?
Options:
(A) 1797787
(B) 1797723
(C) 179776
(D) 179728
(E) 179718

Rationale: (2*40+3*80)/5 = 64mph
The answer: (D)
Question: Steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 80 mph. What is his average speed of travel for the entire journey?
Options:
(A) 61mph
(B) 62mph
(C) 63mph
(D) 64mph
(E) 65mph

Reasoning: Cost price of article = 48$
% of overhead cost = 25
Net profit = 12 $
We need to calculate % markup
Net profit as % of cost price = (12/48)*100 = 25%
Total markup should be = 25 + 25 = 50%
Ans: (A)
Question: The purchase price of an article is $48. In order to include 25% of cost for overhead and to provide $12 of net profit, the markup should be
Options:
(A) 50%
(B) 25%
(C) 35%
(D) 40%
(E) 45%

Rationale: If x = 2 then f(x) = 8/15 and f(1/x) = -8/15 which is equal to -f(x)
The answer: (A)
Question: If f(x) = x^3/(x^4 - 1), what is f(1/x) in terms of f(x)?
Options:
(A) -f(x)
(B) f(x)
(C) 2*f(x)
(D) 1/f(x)
(E) 2/f(x)

Reasoning: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62
Ans: (E)
Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 2234
(B) 4350
(C) 4560
(D) 5132
(E) y=5184

Reasoning: 216^10 = (6^3)^10 = 6^30
Ans: (E)

[Assistant]
Question: What is the greatest positive integer x such that 6^x is a factor of 216^10?
Options:
(A) 5
(B) 9
(C) 10
(D) 20
(E) 30


[User]
8/20 + 6/x = 1
X = 10 days
A can do a piece of work in 20 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
Options:
(A) 18
(B) 77
(C) 66
(D) 55
(E) 10
(E)

Simple interest = (18000 * 5 * 15)/100 = Rs. 13500
Amount = P + I = 18000 + 13500 = Rs. 31500
What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for five years?
Options:
(A) 31500
(B) 27773
(C) 29989
(D) 28800
(E) 29883
(A)

8 * 87 = 696 – 10 = 686

[Assistant]
A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 87. How many points altogether did the team score?
Options:
(A) 686
(B) 672
(C) 652
(D) 642
(E) 721
(A)


[User]
For this chain-of-thought reasoning and answer, what was the question?
A = 8000(21/20)3 = 9261
 A: (B)

[Assistant]
Q: Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
Options:
(A) 9269
(B) 9261
(C) 9262
(D) 9231
(E) 9263


[User]
Q: If Ram rides his cycle in the speed of 18 km/hr from his office, in what time will he reach his house which is 900 m long from his office?
Options:
(A) 2
(B) 4
(C) 5
(D) 7
(E) 3
A: (E)
Explain how we arrive at this answer:

[Assistant]
Explanation: Speed = 18 * 5/18 = 5 m/sec
Time taken = 900/5 = 180 sec ie. 3 mins.


[User] Creatively image a question and justification for this answer: (D)

[Assistant]
The question is: A shopkeeper gave an additional 20 per cent concession on the reduced price after giving 30 per cent standard concession on an article. If Arun bought that article for 1,120, what was the original price?
Options:
(A) 3,000
(B) 4,000
(C) 2,400
(D) 2,000
(E) None of these
Step-by-step reasoning process: Original price = 1120 × 100⁄70 × 100⁄80 = 2000


[User]
Rationale: Number of ways of selecting 2 fiction books = 7C2
Number of ways of selecting 2 non fiction books = 6C2
7C2 * 6C2 = 21 * 15 = 315
The answer: (C)
Question: There are 7 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them?
Options:
(A) 90
(B) 120
(C) 315
(D) 180
(E) 200

Reasoning: 1
1 × 2 + 2 = 4
4 × 2 + 2 = 10
10 × 2 + 2 = 22
22 × 2 + 2 = 46
46 × 2 + 2 = 94
Ans: (C)
Question: What will come in place of the x in the following number series? 1, 4, 10, 22, 46, x
Options:
(A) 84
(B) 92
(C) 94
(D) 98
(E) 104

Rationale: Suppose the amount in the beginning was Rs ’x’
Money spent on clothes = Rs 1x/3 Balance = Rs 2x/3
Money spent on food = 1/5 of 2x/3 = Rs 2x/15
Balance = 2x/3 - 2x/15 = Rs 8x/15
Money spent on travel = 1/4 of 8x/15 = Rs 2x/15 = 8x/15 - 2x/15 = 6x/15 = Rs2x/5
Therefore 2x/5 = 100 = 250
The answer: (B)
Question: A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 100. How much did he have with him in the beginning?
Options:
(A) Rs 200
(B) Rs 250
(C) Rs 300
(D) Rs 450
(E) Rs 550

Reasoning: 8 * 87 = 696 – 10 = 686
Ans: (A)
Question: A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 87. How many points altogether did the team score?
Options:
(A) 686
(B) 672
(C) 652
(D) 642
(E) 721

Rationale: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 9 = 150 m
The answer: (E)
Question: A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
Options:
(A) 350 m
(B) 250 m
(C) 300 m
(D) 148 m
(E) 150 m

Rationale: Six persons can be arranged in a row in 6! ways. Treat the three persons to sit together as one unit then there four persons and they can be arranged in 4! ways. Again three persons can be arranged among them selves in 3! ways. Favourable outcomes = 3!4! Required probability = 3!4!/6! = 1/5
The answer: (C)

[Assistant]
Question: If six persons sit in a row, then the probability that three particular persons are always together is?
Options:
(A) 1/5
(B) 1/4
(C) 1/9
(D) 1/6
(E) 1/1


[User]
Rationale: Total members in the group = 7
Average amount = Rs. 30
Total amount with them = 7 * 30 = Rs. 210
One number has Rs. 70. So, the amount with remaining 6 people = 210 - 70 = Rs. 140
The average amount with them = 140/6 = Rs. 70/3
The answer: (B)
Question: The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 70 with him, what was the average amount with the group before his joining the group?
Options:
(A) s. 25.6
(B) s. 70/3
(C) s. 16.6
(D) s. 26/3
(E) s. 25

Reasoning: Part filled by A + B + C in 1 hour = 1/5 + 1/10 + 1/30 = 1/3
All the three pipes together will fill the tank in 3 hours.
Ans: (C)
Question: Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?
Options:
(A) 5
(B) 4
(C) 3
(D) 6
(E) 8

Rationale: Total number of votes polled = (3136 + 7636 + 11628) = 22400
So, Required percentage = 11628/22400 * 100 = 52%
The answer: (C)
Question: 3 candidates in an election and received 3136, 7636 and 11628 votes respectively. What % of the total votes did the winning candidate got in that election?
Options:
(A) 45%
(B) 49%
(C) 52%
(D) 59%
(E) 61%

Reasoning: Total distance = 8 Km
Total time = 50 Km
Time taken to cover the distence of 3 Km = 50*2/5 = 20 min = 1/3 hours
Remaining distance = 8 - 3 = 5 Km
Required speed = 5/1/3 = 15 Kmph
Ans: (B)
Question: Avinash covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?
Options:
(A) 10 Kmph
(B) 15 Kmph
(C) 25 Kmph
(D) 27 Kmph
(E) 30 Kmph

Rationale: He can pay by all 10 rupee notes = 1 way
3 Ten rupee + 1 twenty rupee = 4!3!×1!4!3!×1! = 4 ways
1 Ten rupee + 2 twenty rupee notes = 3!2!×1!3!2!×1! = 3 ways
Total ways = 1 + 4 + 3 = 8
The answer: (B)
Question: A owes B Rs.50. He agrees to pay B over a number of consecutive days on a Monday, paying single note or Rs.10 or Rs.20 on each day. In how many different ways can A repay B.
Options:
(A) 2
(B) 8
(C) 9
(D) 6
(E) 5

Rationale: Speed downstream = 80 + 20 = 100 kmph
Speed upstream = 80 - 20 = 60 kmph
The answer: (C)

[Assistant]
Question: The speed of a boat in still water is 80kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Options:
(A) 22 kmph
(B) 40 kmph
(C) 60 kmph
(D) 15 kmph
(E) 23 kmph


[User]
Reasoning: Distance travelled = 140 + 210m = 350m
Speed = 60 * 5/8 = 50/3m
Time = 350 * 3/50 = 21 Seconds
Ans: (C)
Question: A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 210 m long?
Options:
(A) 34 Seconds
(B) 22 Seconds
(C) 21 Seconds
(D) 24 Seconds
(E) 29 Seconds

Rationale: We need a number that is a multiple of 7 that will give a remainder of 1 when divided by 2, 3, 4, 5, and 6. The least common multiple of these numbers is 60. So, we need a multiple of 7 that is 1 greater than a multiple of 60.
The answer: (B)
Question: There are seven thieves. They stole diamonds from a diamond merchant and ran away. While running, night sets in and they decide to rest in the jungle.
When everybody was sleeping, two of them woke up and decided to divide the diamonds equally among themselves. But when they divided the diamonds equally, one diamond is left.
So they woke up the 3rd thief and tried to divide the diamonds equally again but still one diamond was left. Then they woke up the 4th thief to divide the diamonds equally again, and again one diamond was left. This happened with the 5th and 6th thief – one diamond was still left.
Finally, they woke up the 7th thief and this time the diamonds were divided equally.
How many diamonds did they steal in total?
Options:
(A) 1560
(B) 1561
(C) 1559
(D) 1557
(E) None of the above

Reasoning: 1/8 + 1/24 = 1/6
6 * 2 = 12
Ans: (A)
Question: Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
Options:
(A) 12 min
(B) 6 min
(C) 4 min
(D) 8 min
(E) 10 min

Rationale: Answer = E. 85 miles
Relational speed = 130 - 100 = 30 miles per hour
In 3 hours, difference = 30 * 3 = 90 miles
Fast train trailing 5 miles, so effective difference = 90 - 5 = 85 miles
The answer: (E)
Question: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 5 miles behind the slower one. How far apart are the two trains at 5 o'clock?
Options:
(A) 60 miles
(B) 80 miles
(C) 90 miles
(D) 120 miles
(E) 85 miles

Reasoning: 100 * 10 * 10 = 10000
Ans: (C)
Question: In filling a room with gas 100 m * 10 m * 10 m the volumes of gas will be?
Options:
(A) 100 cu.m
(B) 1000 cu.m
(C) 10000 cu.m
(D) 100000 cu.m
(E) 10000000 cu.m

Reasoning: Total 4 members minimum required to serve only on one committee.
Ans: (A)

[Assistant]
Question: a certain organization has three committees. only two persons are members of all committees, but every pair of committees have three members in common. what is the least possible no of member of members on any one committee?
Options:
(A) 4
(B) 5
(C) 6
(D) 7
(E) 8


[User]
Reasoning: A = 2000(21/20)2 = 2205
Ans: (A)
Question: A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit.
Options:
(A) 2205
(B) 3387
(C) 2882
(D) 2997
(E) 1278

Reasoning: The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5. So, 40 is wrong.
Ans: (C)
Question: Find the invalid no.from the following series 13, 18, 25, 30, 37, 40
Options:
(A) 23
(B) 35
(C) 40
(D) 45
(E) 67

Reasoning: Dolphin once in 3 min;
Beluga once in 9 min;
So, dolphin comes up 3 times frequently than beluga, which is 300% (9-3)/2*100.
Ans: (D)
Question: On average, the bottle-nosed dolphin comes up for air once every three minutes; the beluga whale, a close relative, comes up for air on average once every nine minutes. The number of times a bottle-nosed dolphin would come up for air in a 24 hour period is approximately what percent greater than the number of times a beluga whale would come up for air in that same period?
Options:
(A) 150%
(B) 200%
(C) 250%
(D) 300%
(E) 350%

Reasoning: 6a2 = 6 * 6a * 6a = 216a2
Ans: (E)

[Assistant]
Question: The edge of a cube is 6a cm. Find its surface?
Options:
(A) 116a2 cm2
(B) 126a2 cm2
(C) 256a2 cm2
(D) 150a2 cm2
(E) 216a2 cm2


[User]
1 to 11 = 11 * 50 = 550
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 – 550 = 56
The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Options:
(A) 22
(B) 56
(C) 44
(D) 55
(E) 81
(B)

125% of 120% of A = 231
125/100 * 120/100 * A = 231
A = 231 * 2/3 = 154.
A sells a Cricket Bat to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays $231 for it, the cost price of the Cricket Bat for A is:
Options:
(A) 150
(B) 120
(C) 154
(D) 160
(E) 210
(C)

A number ending with 2 can never be a perfect squar

[Assistant]
How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 2 ?
Options:
(A) 2
(B) 3
(C) 4
(D) 5
(E) 0
(E)


[User]
Ques: Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?
Options:
(A) 6/15
(B) 6/11
(C) 6/14
(D) 6/12
(E) 6/13
Ans: (B)
CoT: Part filled by (A + B + C) in 3 minutes = 3(1/30 + 1/20 + 1/10) = 11/20
Part filled by C in 3 minutes = 3/10
Required ratio = 3/10 * 20/11 = 6/11

Ques: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 190 m long?
Options:
(A) 40 sec
(B) 11 sec
(C) 88 sec
(D) 19 sec
(E) 44 sec
Ans: (E)
CoT: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 190 = 550 m
Required time = 550 * 2/25 = 44 sec

Ques: In how many different ways can the letters of the word "NEGLIGENCE" be rearrangement?
Options:
(A) 3628800
(B) 3628800
(C) 3628812
(D) 3428800
(E) 3368800
Ans: (B)
CoT: Option 'B'
The total number of arrangements is
10P10 = 10! = 3628800

Ques: In how many different ways could couples be picked from 8 men and 5 women?
Options:
(A) 8
(B) 5
(C) 13
(D) 40
(E) 20
Ans: (D)

[Assistant]
CoT: Number of mens = 8
Number of womens = 5
Different ways could couples be picked = 8c1 * 5c1 = 8 * 5 = 40 ways


[User]
Reasoning: D 85 matches. The number of matches will always sum up to one less than the number of players in a knock out tournament. You may calculate it in any manner. Thus 85 matches were playe
Ans: (D)
Question: Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 86 players took part in that tournament. How many matches were played?
Options:
(A) 90 matches
(B) 95 matches
(C) 99 matches
(D) 85 matches
(E) 87 matches

Reasoning: Circumference C is given by
C = 2πr = 2π*10 = 20 π cm
Ans: (A)
Question: Calculate the circumference of a circular field whose radius is 10 centimeters.
Options:
(A) 20 π cm
(B) 19 π cm
(C) 28 π cm
(D) 25 π cm
(E) 30 π cm

Reasoning: If x = 2 then f(x) = 8/15 and f(1/x) = -8/15 which is equal to -f(x)
Ans: (A)
Question: If f(x) = x^3/(x^4 - 1), what is f(1/x) in terms of f(x)?
Options:
(A) -f(x)
(B) f(x)
(C) 2*f(x)
(D) 1/f(x)
(E) 2/f(x)

Reasoning: 70 + 75 = 145 * 5/18 = 725/18 mps
D = 150 + 100 = 250 m
T = 250 * 18/725 = 180/29 = 6 6/29 sec
Ans: (A)

[Assistant]
Question: Two trains are moving at 75 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Options:
(A) 6 6/29 sec
(B) 7 1/7 sec
(C) 7 2/2 sec
(D) 8 1/2 sec
(E) 7 1/19 sec


[User]
Reasoning: Speed of the train in metres/sec = 72000/3600 = 20
Distance travelled by train to cross the platform = 30 * 20 = 600 = Length of train + Length of platform
Distance travelled by train to cross the man = 17 * 20 = 340 = Length of train
Length of platform = 600 - 340 = 260
Ans: (B)
Question: A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 17 seconds. What is the length of the platform in meters?
Options:
(A) 240 meters
(B) 260 meters
(C) 420 meters
(D) 600 meters
(E) Cannot be determined

Rationale: Each of the numbers except 21 is an even number
The answer: (C)
Question: 10, 14, 16, 18, 21, 24, 26
Options:
(A) 17
(B) 20
(C) 21
(D) 25
(E) 26

Reasoning: Total age of students is 32X16 = 512 Years
Total age inclusive of teacher = 33X (16+1) = 561
So, Teacher's age is 561-512 = 49 Yrs
There is a shortcut for these type of problems
Teacher's age is 16+(33X1) = 49 Years
Ans: (E)
Question: The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
Options:
(A) 28 Years
(B) 30 Years
(C) 32 Years
(D) 37 Years
(E) 49 Years

Rationale: Work done by A in 5 days = 5/10 = 1/2
Remaining work = 1/2
Work done by both A and B in one day = 1/10 + 1/15 = 5/30 = 1/6
Remaining work = 1/2 * 6/1 = 3 days.
The answer: (E)
Question: A and B can do a work in 10 days and 15 days respectively. A starts the work and B joins him after 5 days. In how many days can they complete the remaining work?
Options:
(A) 6 days
(B) 2 days
(C) 8 days
(D) 4 days
(E) 3 days

Reasoning: All others are equal except (C).
Ans: (B)
Question: Which of the following expressions are different in value?
(A) (2x + 3y)2
(B) (2x + y)2 + 8y(x + y)
(C) (2x – y)2 – 8y(x + y)
(D) 22(x + y)2 + 4xy + 5y2
Options:
(A) A and B
(B) B and C only
(C) A, B and D only
(D) B and D only
(E) All are different

Reasoning: Sum of all the 13 numbers = 13 * 60 = 780
Sum of the first 7 of them = 7 * 57 = 399
Sum of the last 7 of them = 7 * 61 = 427
So, the 8th number = 427 + 399 - 780 = 46.
Ans: (A)

[Assistant]
Question: The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
Options:
(A) 46
(B) 82
(C) 45
(D) 43
(E) 53


[User] Imagine a question and stream-of-consciousness explanation for which this is the answer: (C)

[Assistant]
Question: The average age of applicants for a new job is 35, with a standard deviation of 30. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?
Options:
(A) 8
(B) 16
(C) 31
(D) 18
(E) 34
Stream-of-consciousness: Minimum age = Average - 1 Standard deviation = 35 - 30 = 5
Maximum age = average + 1 Standard deviation = 35+ 30 = 35
Maximum number of different ages of the applicants = 35- 5 + 1 = 31


[User]
[Ans] (C)
[Question] 10 books are placed at random in a shelf. The probability that a pair of books will always be together is
Options:
(A) 1/9
(B) 1/7
(C) 1/5
(D) 1/6
(E) 1/3
[CoT] 10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!
Required probability = 1/5

[Ans] (C)
[Question] If 14m − n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?
Options:
(A) 2m −1
(B) 4m
(C) 5m
(D) m/5
(E) 6m/5
[CoT] 14m - n = p
Add n to both sides:
14m = n + p
Add m to both sides:
15m = n + p + m
Now, divide both sides by 3
5m = (n + p + m)/3 = the average of n, p, and m

[Ans] (D)
[Question]

[Assistant]
Anil can do a work in 12 days while Sunil can do it in 25 days. How long will they take if both work together?
Options:
(A) 10 1/10 days
(B) 18 1/10 days
(C) 7 1/10 days
(D) 8 1/10 days
(E) 9 1/10 days
[CoT] 1/12 + 1/25 = 37/300
300/37 = 8 1/10 days


[User] Imagine a question and stream-of-consciousness explanation for which this is the answer: (D)

[Assistant]
Question: Anil can do a work in 12 days while Sunil can do it in 25 days. How long will they take if both work together?
Options:
(A) 10 1/10 days
(B) 18 1/10 days
(C) 7 1/10 days
(D) 8 1/10 days
(E) 9 1/10 days
Stream-of-consciousness: 1/12 + 1/25 = 37/300
300/37 = 8 1/10 days


[User]
Answer: (A)
Question: The average of four results is 222 and that of the first three is 219. The fourth result is?
Options:
(A) 231
(B) 201
(C) 85
(D) 192
(E) 215
[CoT]: [4 * 222 â€“ 3 * 219 = 231]

Answer: (B)
Question: In a race of 150 m, A gives B a start of 20 m. What distance will be covered by B ?
Options:
(A) 100 m
(B) 130 m
(C) 170 m
(D) 160 m
(E) 180 m
[CoT]: [Required distance = (150 - 20) m = 130 m]

Answer: (D)
Question: A man rows his boat 90 km downstream and 72 km upstream, taking 3 hours each time. Find the speed of the stream?
Options:
(A) 6
(B) 5
(C) 7
(D) 3
(E) 2
[CoT]: [Speed downstream = d/t = 90/3 = 30 kmph
Speed upstream = d/t = 72/(3) = 24 kmph
The speed of the stream = (30 - 24)/2 = 3 kmph]

Answer: (B)
Question:

[Assistant]
The length of a rectangle is increased by 20% and its breadth is decreased by 20%. What is the effect on its area?
Options:
(A) 1288
(B) 9600
(C) 1000
(D) 10000
(E) 2887
[CoT]: [100 * 100 = 10000
120 * 80 = 9600]


[User]
Stream of consciousness rationale: T = 192/32 = 6 h
T = 6 - 3 = 3
Time Ratio = 6:3 = 2:1
Speed Ratio = 1:2
The question and answer pair are described below.

[Assistant]
Q: A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
(A) 1:2
(B) 1:9
(C) 1:1
(D) 1:9
(E) 3:2
A: (A)


[User]
Rationale: 2 persons can do work in 1 day = 1/8
First person can do work in 1 day = 1/24
Second person can do work in 1 day = 1/8-1/24 = 1/12
So Second person can finish work in 12 days
The answer: (B)
Question: 2 persons can finish a job in 8 days. First person alone can finish the work in 24 days. How many days does the second person take to finish the job?
Options:
(A) 10 days
(B) 12 days
(C) 14 days
(D) 16 days
(E) 18 days

Reasoning: From the (iii) clue, peda must be eaten after jilebi. so Peda should not be eaten on monday.
Ans: (A)
Question: There are 5 sweets - Jammun, kaju, Peda, Ladu, Jilebi which can be consumed in 5 consecutive days. Monday to Friday. A person eats one sweet a day, based on the following constraints.
(i) Ladu not eaten on monday
(ii) If Jamun is eaten on Monday, Ladu should be eaten on friday.
(iii) Peda is eaten the day following the day of eating Jilebi
(iv) If Ladu eaten on tuesday, kaju should be eaten on monday
based on above, peda can be eaten on any day except
Options:
(A) monday
(B) tuesday
(C) tuWesday
(D) wednesday
(E) friday

Rationale: 1/2:1/2:1/4 = 2:2:1
1/5*1000 = 200
400-200 = 200
The answer: (A)
Question: Rs. 1000 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/2:1/4?
Options:
(A) 200
(B) 992
(C) 772
(D) 552
(E) 312

Reasoning: Each crate requires 6 apples and totally there are 10 crates so required apples = 10 * 6 = 60
Ans: (E)
Question: If 10 crates have 94 apples each and how many apples more is required in order to make 100 apples in each crate?
Options:
(A) 5
(B) 10
(C) 15
(D) 20
(E) 60

Rationale: \70 + 50 = 120 * 5/18 = 100/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/100 = 15/2 = 7 ½ sec
The answer: (D)
Question: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Options:
(A) 6 ½ sec
(B) 9 ½ sec
(C) 3 ½ sec
(D) 7 ½ sec
(E) 2 ½ sec

Rationale: If he draws any combination of 3 socks he will definitely have the matching pair of either colour.
The answer: (A)

[Assistant]
Question: John has 10pairs of dark blue socks and 10pairs of black socks. He keeps them all in the same bag. If he picks out 3socks at random, then what is the probability thathe will get a matching pair?
Options:
(A) 1
(B) 3
(C) 5
(D) 6
(E) 9


[User]
Rationale: Clearly, 252 = 2 x 2 x 3 x 3 x 7.
The answer: (A)
Question: 252 can be expressed as a product of primes as:
Options:
(A) 2 x 2 x 3 x 3 x 7
(B) 2 x 2 x 3 x 3 x 8
(C) 2 x 2 x 3 x 3 x 6
(D) 2 x 2 x 3 x 3 x 1
(E) 2 x 2 x 3 x 3 x 2

Reasoning: 1/4: 1/2: 1/1 = 2:4:8
Ans: (A)
Question: The inverse ratio of 4: 2: 1 is?
Options:
(A) 2:4:8
(B) 2:3:9
(C) 2:3:2
(D) 2:3:6
(E) 2:3:1

Rationale: T = 60/36 * 18/5 = 6 sec
The answer: (B)
Question: In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Options:
(A) 9 sec
(B) 6 sec
(C) 8 sec
(D) 10 sec
(E) 11 sec

Reasoning: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 350 * 2/35 = 20 sec
Ans: (D)
Question: A train 350 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 15 sec
(B) 16 sec
(C) 18 sec
(D) 20 sec
(E) 25 sec

Rationale: Speed in still water = (11 + 5)/2 kmph = 8 kmph.
The answer: (D)
Question: In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Options:
(A) 3
(B) 4
(C) 5
(D) 8
(E) 9

Rationale: Here, l = 6 and m = 30
Therefore, first number = l/m x 100% of second number = 6/30 x 100% of second number = 20% of second number
The answer: (A)

[Assistant]
Question: If the given two numbers are respectively 6% and 30% of a third number, then what percentage is the first of the second ?
Options:
(A) 20%
(B) 25%
(C) 18%
(D) 30%
(E) none of these


[User] Come up with a question and stream of consciousness reasoning that would justify this answer: (B)

[Assistant]
The question is: The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?
Options:
(A) 1/45
(B) 1/42
(C) 1/46
(D) 1/48
(E) 1/43
Stream of consciousness: 2/3 * 6/7 * 1/3 * 1/8 = 1/42


[User]
## Solution
Five friends amount increased by $10 and Raj shared equally so amount = 5 * 10 = 50
## What the question and answer could be
If Raj shares all of his amount equally among his five friends then each of his friend's amount increased by $10 then Raj had how much?
Options:
(A) $10
(B) $20
(C) $30
(D) $40
(E) $50
(E)

## Solution
? ≈ 18⁄5 × 160 + 40⁄1000 × 1850 + 450
≈ 576 + 740 + 450 ≈ 1760 ≈ 1800
## What the question and answer could be
What approximate value should come in place of the question mark (?) in the following equation’?
3 3⁄5 of 157.85 + 39% of 1847 = ? – 447.30
Options:
(A) 1200
(B) 1500
(C) 1600
(D) 1800
(E) 2100
(D)

## Solution
252 = 2 x 2 x 3 x 3 x 7.
## What the question and answer could be
252 can be expressed as a product of primes as :
Options:
(A) 2 x 2 x 3 x 3 x 7
(B) 2 x 2 x 2 x 3 x 7
(C) 3 x 3 x 3 x 3 x 7
(D) 2 x 3 x 3 x 3 x 7
(E) 2 x 3 x 7 x 3 x 2
(A)

## Solution
Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25 = 40 sec
## What the question and answer could be

[Assistant]
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Options:
(A) 40 sec
(B) 42 sec
(C) 45 sec
(D) 48 sec
(E) 58 sec
(A)


[User]
Rationale: Speed downstream = d/t = 90/3 = 30 kmph
Speed upstream = d/t = 72/(3) = 24 kmph
The speed of the stream = (30 - 24)/2 = 3 kmph
The answer: (D)
Question: A man rows his boat 90 km downstream and 72 km upstream, taking 3 hours each time. Find the speed of the stream?
Options:
(A) 6
(B) 5
(C) 7
(D) 3
(E) 2

Reasoning: D = 25 * 60 + 1500 = 3000 m
T = 3000/60 * 18/5 = 180 se
Ans: (C)
Question: A train of 25 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?
Options:
(A) 2 mins 14 sec
(B) 2 mins 34 sec
(C) 180 sec
(D) 4 mins 54 sec
(E) 2 mins 44 sec

Rationale: Sum of 13 natural no. = 182/2 = 91
Average = 91/13 = 7
The answer: (C)
Question: The average of first 13 natural numbers is?
Options:
(A) 5.2
(B) 5.5
(C) 7
(D) 9
(E) 10

Reasoning: Overall, there can be 81 minuses. Tus, it is
Ans: (A)
Question: A certain league has five divisions. The respective divisions had 6, 7, 8, 9 and 11 teams qualify for the playoffs. Each division held its own double-elimination tournament -- where a team is eliminated from the tournament upon losing two games -- in order to determine its champion. The four division champions then played in a single-elimination tournament -- where a team is eliminated upon losing one game -- in order to determine the overall league champion. Assuming that there were no ties and no forfeits, what is the maximum number of games that could have been played in order to determine the overall league champion?
Options:
(A)  81
(B)  83
(C)  85
(D)  86
(E)  89

Rationale: (4000*T*5)/100 = (5000*5*4)/100
T = 5 years
The answer: (A)
Question: In what time will Rs.4000 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest?
Options:
(A) 5 years
(B) 6 years
(C) 7 years
(D) 9 years
(E) 15 years

Rationale: From 0 to 9999 there are 10000 four digit numbers
So maximum number of unsuccessful attempts = 10000 - 1 = 9999
The answer: (B)

[Assistant]
Question: Maximum no of unsuccessful attempts, a thief can do in order to break a number locking system of 4 digits.
Options:
(A) 9988
(B) 9999
(C) 9799
(D) 9685
(E) 6545


[User]
Reconstruct a question, answer pair from this explanation: Rate of flow of water in second hour = 36 gallons per hour
Rate of flow of water in first hour = 36/(3/2) = 24 gallons per hour
Rate of flow of water in third hour = (125/100)* 36 = (5/4) * 36 = 45 gallons per hour
Number of gallons of water that flowed through the pipe during the entire 3 hours = 24+36+45 = 105 gallons

[Assistant]
Q:The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 36 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?
Options:
(A) 106.25
(B) 105.5
(C) 105.75
(D) 106
(E) 105.0
A:(E)


[User]
Rationale: Speed = 18 * 5/18 = 5 m/sec
Time taken = 900/5 = 180 sec ie. 3 mins.
The answer: (E)
Question: If Ram rides his cycle in the speed of 18 km/hr from his office, in what time will he reach his house which is 900 m long from his office?
Options:
(A) 2
(B) 4
(C) 5
(D) 7
(E) 3

Rationale: Speed = 120*(5/18) m/sec = 200/6 m/sec
Length of Train (Distance) = Speed * Time
(200/6) * 9 = 300 meter
The answer: (E)
Question: A train running at the speed of 120 km/hr crosses a pole in 9 seconds. Find the length of the train.
Options:
(A) 100 meter
(B) 150 meter
(C) 200 meter
(D) 250 meter
(E) 300 meter

Rationale: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 3 = 50 m
The answer: (E)

[Assistant]
Question: A train running at the speed of 60 km/hr crosses a pole in 3 sec. What is the length of the train?
Options:
(A) 56
(B) 78
(C) 27
(D) 79
(E) 50


[User]
Question. X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?
Options:
(A) 3
(B) 5
(C) 6
(D) 8
(E) 9
Answer. (C)
What step-by-step reasoning justifies that answer?

[Assistant]
Reasoning: Work done by X in 1 day = 1/18
Work done by Y in 1 day = 1/15
Work done by Y in 10 days = 10/15 = 2/3
Remaining work = 1 – 2/3 = 1/3
Number of days in which X can finish the remaining work = (1/3) / (1/18) = 6


[User] Come up with a question and reasoning that would justify this answer: (C)

[Assistant]
The question is: Which is odd one
10, 25, 45, 54, 60, 75, 80
Options:
(A) 10
(B) 45
(C) 54
(D) 60
(E) 75
Step-by-step reasoning process: All numbers except 54 is multiple of 5.


[User]
Question. Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?
Options:
(A) 57%
(B) 60%
(C) 90%
(D) 65%
(E) 70%
Answer. (A)
What step-by-step reasoning justifies that answer?

[Assistant] Reasoning: Req percentage = 11628/20400*100 = 57%


[User] Reconstruct a question, answer pair from this explanation: S = 160/18 * 18/5 = 32 kmph

[Assistant]
Q:A 160 meter long train crosses a man standing on the platform in 18 sec. What is the speed of the train?
Options:
(A) 96 kmph
(B) 94 kmph
(C) 32 kmph
(D) 56 kmph
(E) 76 kmph
A:(C)


[User]
For this chain-of-thought reasoning and answer, what was the question?
Since the man can go in 4 ways and can back in 3 ways. Therefore total number of ways are 4 x3 = 12ways.
 A: (C)

[Assistant]
Q: 4 buses runs between Chennai and Mysore. If a man goes from Chennai to Mysore by a bus and comes back to Mysore by another bus, then the total possible ways are
Options:
(A) 4
(B) 8
(C) 12
(D) 16
(E) None of these


[User]
Reasoning: D = 140 + 150 = 290
S = 36 * 5/18 = 10 mps
T = 290/10 = 29 sec
Ans: (B)
Question: How many seconds will a train 140 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Options:
(A) 28 sec
(B) 29 sec
(C) 24 sec
(D) 25 sec
(E) 26 sec

Rationale: (555 + 445) * 2 * 110 + 30 = 220000 + 30 = 220030
The answer: (E)
Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 30 as remainder. Find the no. is?
Options:
(A) 234354
(B) 243435
(C) 243445
(D) 245667
(E) 220030

Reasoning: 70/280 = 1/4
1/4 × 100 = 25 %
Ans: (B)
Question: What percent is 70 of 280?
Options:
(A) 12 %
(B) 25 %
(C) 26 %
(D) 27 %
(E) 28 %

Rationale: 5 + 7 +11 + 13 + 17 + 19 = 72/6 = 12
The answer: (C)
Question: The average of first six prime numbers greater than 3 is?
Options:
(A) 16
(B) 10
(C) 12
(D) 19
(E) 17.8

Reasoning: Number of combo with 4 as first digit + Number of combos with 4 as second digit = 1*4*5*5*5 + 3*5*5*5 = 2375
Ans: (C)
Question: How many five-digit numbers are there, if the two leftmost digits are even, the other digits are odd and the digit 4 cannot appear more than once in the number.
Options:
(A) 1875
(B) 2000
(C) 2375
(D) 2500
(E) 3875

Reasoning: 120/90 = 4/3
4/3 × 100 = 400/3 = 133 1/3 %
Ans: (A)

[Assistant]
Question: What percent is 120 of 90?
Options:
(A) 133 1/3 %
(B) 134 1/3 %
(C) 135 1/3 %
(D) 140 1/3 %
(E) 143 1/3 %


[User] Come up with a question and stream of consciousness reasoning that would justify this answer: (C)

[Assistant]
The question is: X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?
Options:
(A) 2
(B) 3
(C) 6
(D) 8
(E) 9
Stream of consciousness: Work done by X in 1 day = 1/18
Work done by Y in 1 day = 1/15
Work done by Y in 10 days = 10/15 = 2/3
Remaining work = 1 – 2/3 = 1/3
Number of days in which X can finish the remaining work = (1/3) / (1/18) = 6


[User]
Consider the question. A train 490 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 18 sec
(B) 16 sec
(C) 76 sec
(D) 15 sec
(E) 28 sec
 What is the step-by-step reasoning process to arrive at the answer: (E)?

[Assistant]
Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 490 * 2/35 = 28 sec


[User]
Given the rationale, provide a reasonable question and answer. Step-by-step reasoning process: Total cost involved for each 75 $ shipment: 3+2 = 5 $. Thus, for two such orders = 10$
Total cost involved for a 150$ shipment: 3+3 = 6$. Thus, for two such orders = 18$
The difference = 8$.
 The question and answer:

[Assistant]
For every order, a certain mail-order company charges a shipping fee of $3 plus an additional $2 if the value of the order is over $50 but not over $100 or an additional $3 if the value of the order is over $100. How much greater are the total shipping fees for 2 orders of $75 each than the total shipping fee for 3 order of $150 ?
Options:
(A)  $1
(B)  $2
(C)  $3
(D)  $4
(E)  $8
The answer is (E)


[User]
Reasoning: S = 200/9 * 18/5 = 80 kmph
Ans: (E)
Question: A 200 meter long train crosses a man standing on the platform in 9 sec. What is the speed of the train?
Options:
(A) 228
(B) 108
(C) 1266
(D) 188
(E) 80

Rationale: 50*10 = 500
68*5 = 340
840/15 = 56
The answer: (C)
Question: If 10 litres of an oil of Rs.50 per litres be mixed with 5 litres of another oil of Rs.68 per litre then what is the rate of mixed oil per litre?
Options:
(A) Rs.49.17
(B) Rs.51.03
(C) Rs.56
(D) Rs.55.33
(E) None of the above

Reasoning: 5 * 46 – 4 * 45 = 50
Ans: (D)
Question: The average of five results is 46 and that of the first four is 45. The fifth result is?
Options:
(A) 22
(B) 02
(C) 78
(D) 50
(E) 18

Rationale: The length of wall painted by one man in one day = 60 / 4 Ã— 3 = 5 m
No. of days required to paint 50 m wall by 5 men = 50/ 5 Ã— 5 = 2 day.
The answer: (B)
Question: If 4 men can paint 60 m long wall in 3 days, then 5 men can paint 50 m long wall in
Options:
(A) 3days
(B) 2days
(C) 5days
(D) 6days
(E) 1day

Reasoning: P = (P*30*R)/100
R = 3 1/3%
Ans: (A)
Question: At what rate percent on simple interest will a sum of money double itself in 30 years?
Options:
(A) 3 1/3%
(B) 3 1/9%
(C) 3 9/3%
(D) 3 2/3%
(E) 3 6/3%

Reasoning: It's a simple geometry problem. Look at the diagram below:
Ans: (B)

[Assistant]
Question: Efrida and Frazer who live 10 miles apart, meet at a restaurant that is directly north of Efrida's home and directly east of Frazer's home. If the restaurant is three miles closer to Efrida's home, than to Frazer's home, how many miles is the restaurant from Frazer's home?
Options:
(A) 6
(B) 7
(C) 8
(D) 10
(E) 11


[User] Imagine a question and stream-of-consciousness explanation for which this is the answer: (A)

[Assistant]
Question: In a group of dogs and peacocks, the number of legs are 18 less than four times the number of heads How many peacocks are there in that group?
Options:
(A) 9
(B) 8
(C) 7
(D) 6
(E) 5
Stream-of-consciousness: Let the number of dogs be 'x' and the number of peacocks by 'y'. Then, number of legs in the group = 4x + 2y. Number of heads in the group = x+y So, 4x+2y = 4(x+y) – 18 ⇒ 2y = 18 ⇒ y = 9 Number of peacocks in that group = 9.


[User] Creatively image a question and justification for this answer: (A)

[Assistant]
The question is: What will come in place of the x in the following Number series? 46080, 3840, 384, x
Options:
(A) 48
(B) 3
(C) 4
(D) 5
(E) 6
Step-by-step reasoning process: 46080 /12 = 3840
3840 /10 = 384
384 /8 = 48


[User] Creatively image a question and justification for this answer: (C)

[Assistant]
The question is: Find the largest 4 digit number which isexactly divisible by 88?
Options:
(A) 3454
(B) 4586
(C) 9944
(D) 10564
(E) 18664
Step-by-step reasoning process: Largest 4 digit number is 9999
After doing 9999 ÷ 88 we get remainder 55
Hence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944


[User]
## Solution
This is a simple alternating subtraction and addition series; The first series begins with 3 and adds 5; the second begins with 9 and subtracts 2, and so on.
## What the question and answer could be
Fill in the blank with the correct number in this number series: 3, 9, 8, 7, __, 5, 18, ?
Options:
(A) 6
(B) 7
(C) 9
(D) 10
(E) 13
(E)

## Solution
(555 + 445) * 2 * 110 + 20 = 220000 + 20 = 220020
## What the question and answer could be
A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 20 as remainder. Find the no. is?
Options:
(A) 122456
(B) 220020
(C) 220022
(D) 235467
(E) 220026
(B)

## Solution
(555 + 445) * 2 * 110 + 60 = 220000 + 60 = 220060
## What the question and answer could be
A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 60 as remainder. Find the no. is?
Options:
(A) 145646
(B) 236578
(C) 645353
(D) 456546
(E) 220060
(E)

## Solution
S = (90 + 60)/2 = 75 kmph
## What the question and answer could be

[Assistant]
The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Options:
(A) 228
(B) 75
(C) 299
(D) 267
(E) 312
(B)


[User] Q: Would someone buying crickets be likely to own pets? Now, let's think step by step:

[Assistant]
Reptiles are a popular pet for people. Reptiles enjoy eating crickets. Crickets are sold at many pet stores.
The answer: yes.


[User]
Q: Would Seroquel be the first treatment recommended by a doctor to someone with depression?
A: Seroquel is a powerful drug that is prescribed for bipolar disorder. Seroquel has sedating effects and can increase feelings of depression. Depression is usually treated by SSRI's. Seroquel is an atypical antipsychotic.
The answer is no.

Q: Is the Riksdag a political entity in Scandinavia?
A: The Riksdag is the legislative branch of the Swedish government. Sweden is part of Scandinavia.
The answer is yes.

Q: Hydrogen's atomic number squared exceeds number of Spice Girls?
A: Hydrogen is the first element and has an atomic number of one. To square a number, you multiply it by itself. The Spice Girls has five members.
The answer is no.

Q: Do Christians anticipate an existence in Sheol after death?
A:

[Assistant]
Sheol appears in the Christian Bible, in the Old Testament. Christians do not recognize Sheol as part of their afterlife.
The answer is no.


[User]
Question: Would a tool used for Martin Luther's Reformation opening salvo aid in a crucifixion?
Answer: Martin Luther began the Reformation with the defiant act of nailing 95 grievances to the door of the Wittenberg church. Roman crucifixions required several tools including nails and wooden beams.. The answer is: yes.

Does frost mean that it will be a snowy day?
Rationale first then the answer.
Frost forms regularly in areas that experience freezing temperatures and morning dew. Frost isn't deposited from the sky like snow, it forms on the ground.. The answer is: no.

QUESTION: Did land owners elect their rulers in the Kingdom of Hungary?
Please give rationale first, then the answer.
ANSWER: The Kingdom of Hungary was a monarchy. Monarchies do not allow citizens to elect their own rulers.. The answer is: no.

Question: Are twins always born during the same year?
Answer: Some twins are born right before the New Year, and right after the New Year. There are some twins, implanted through IVF, who are born decades apart.. The answer is: no.

Did Douglas Adams use email as a child?
Rationale first then the answer.
Douglas Adams was born in 1952. Modern email did not emerge until 1977.. The answer is: no.

Question: Do all crustaceans live in the ocean?
Answer:

[Assistant] The woodlice family of crustaceans is terrestrial. There are also many crustacean species living in fresh water rivers and lakes.. The answer is: no.


[User] Answer the following question, but give the rationale first. Did U.S. soldiers listen to Justin Bieber's Believe album during the Battle of Baghdad?

[Assistant] The Battle of Baghdad was the U.S. invasion of Baghdad in the year 2003. Justin Bieber's album Believe was released in 2012. So the final answer is no.


[User]
Could a Hwasong-15 missile hypothetically reach Voyager 2?
Chain of thought:

[Assistant] Voyager 2 was a probe that traveled to the interstellar medium of space. The interstellar medium is over 12,161,300,000 miles away from earth. The Hwasong-15 missile is a North Korean missile with a range of 8,000 miles. The answer is no.


[User]
Student question: Are paratroopers good at mountain rescue?
Teacher response: The detailed solution is: A paratrooper is a member of a military unit that deploys parachutes. A PJ is the acronym name for a military parachute jumper. PJs are an elite mountain rescue unit..

Student question: Is Ganymede in the Milky Way galaxy?
Teacher response: The detailed solution is: Ganymede is a moon of Jupiter. Jupiter is the largest planet in our solar system. The solar system is part of the Milky Way galaxy..

Student question: Is Guitar Hero Beatles inappropriate for a US third grader?
Teacher response: The detailed solution is: The average age of a US third grader is 8. Guitar Hero is recommended for ages 7 and up. The Beatles were a British rock band with a plethora of radio friendly hits..

Student question: Can voice actors for Goofy and Bugs Bunny each get one stripe from American flag?
Teacher response:

[Assistant] The detailed solution is: The American flag has 13 stripes on it. Since the role originated in 1932, six people have voiced the character of Goofy. Since 1940, seven people have voiced the character of Bugs Bunny..


[User] Let's answer this question slowly: Are pennies commonly used in Canada?

[Assistant] Canada used pennies historically as one cent coins. Canada stopped minting pennies in 2012. So the answer is no.


[User]
Student question: Can I ski in Steamboat Springs, Colorado in August?
Teacher response: The detailed solution is: Skiing requires snow. Snow melts at temperatures higher than 0 degrees Celsius. Average temperature for Steamboat Springs, Colorado in August is 27.3 degrees Celsius..

Student question: Is the rise of agriculture attributed to rivers?
Teacher response: The detailed solution is: Some of the earliest civilizations on record are in river valleys. Early civilizations used water to irrigate crops, leading to the growth of agriculture..

Student question: Does 2015 have more unlucky Friday's than usual?
Teacher response: The detailed solution is: Friday the 13th is known as an unlucky Friday because of the number 13. A year can have as many as three Friday the 13ths. One Friday the 13th is the average per year. There were 3 Friday the 13ths in 2015..

Student question: Could the surface of Europa fry an egg?
Teacher response:

[Assistant] The detailed solution is: Europa is known for having an icy surface. For an egg to become firm, the ground must be at least 158 degrees Fahrenheit. Ice forms at 32 degrees Fahrenheit. Europa's temperatures are all in the negatives on the Fahrenheit scale..


[User] Does Jack Sparrow know any sea shantys? Think carefully first, then make a decision:

[Assistant] Jack Sparrow is the main character of the popular 'Pirates of the Caribbean' movie franchise. Jack Sparrow is the captain of a pirate ship. Jack Sparrow sings many songs while on the sea. So, the answer is yes.


[User]
Will Justin Bieber take over Mike Pence's position in 2020?
Rationale first then the answer.
Mike Pence is Vice President of the United States. The Vice President must be a US citizen. The Vice President must be at least 35 years of age. Justin Bieber is a Canadian citizen. Justin Bieber is 26 years old in 2020.. The answer is: no.

QUESTION: Can Amtrak's Acela Express break the sound barrier?
Please give rationale first, then the answer.
ANSWER: Amtrak's Acela Express is the fastest train in the Western Hemisphere and can reach 150 mph. A US Navy plane would need to travel 770 mph to break the sound barrier.. The answer is: no.

Question: If your electric stove has a glass top, should you use cast iron skillets?
Answer: Cast iron skillets can scratch or crack flat top stoves. Glass top stoves are considered 'flat tops'.. The answer is: no.

Can someone with celiac disease have potato vodka?
Rationale first then the answer.
Celiac disease makes it unsafe for someone to eat gluten. Potato vodka is a gluten free product.. The answer is: yes.

QUESTION: Did Jesus go to school to study railroad engineering?
Please give rationale first, then the answer.
ANSWER: The steam locomotive to drive a train was invented in the 19th century. Jesus lived around 0 AD.. The answer is: no.

QUESTION: Did Immanuel Kant ever meet the 14th president of the United States?
Please give rationale first, then the answer.
ANSWER:

[Assistant] Immanuel Kant died on Feb 12, 1804. Franklin Pierce was the 14th president of the United States. Franklin PIerce was born Nov 23, 1804.. The answer is: no.


[User] Q: Has the creator of Futurama lived in multiple centuries? Now, let's think step by step:

[Assistant]
The creator of Futurama is Matt Groening. Matt Groening was born in 1954. The 20th (twentieth) century was a century that began on January 1, 1901 and ended on December 31, 2000. The 21st (twenty-first) century began on January 1, 2001, and will end on December 31, 2100.
The answer: yes.


[User] Let's answer this question slowly: Can you taste Law & Order?

[Assistant] Law & Order is a television show. Television shows cannot be tasted, only viewed. So the answer is no.


[User]
Question: Can the original name of the zucchini be typed on the top row of a QWERTY keyboard?
Answer: The original name for the zucchini in Mexican language or Nahuatl is ayokonetl. The top row of a QWERTY keyboard contains the keys q, w, e, r, t, y, u, i , o, and p.. The answer is: no.

Was Daniel thrown into the lion's den in the New Testament?
Rationale first then the answer.
The Book of Daniel is a book in the Old Testament of the Bible. The Bible is divided into the Old Testament and the New Testament. The New Testament focuses on four Gospels regarding the life of Jesus.. The answer is: no.

QUESTION: Is winter solstice in Northern Hemisphere closer to July than in Southern Hemisphere?
Please give rationale first, then the answer.
ANSWER: The winter solstice in the Northern Hemisphere happens in December. The winter solstice in the Southern Hemisphere happens in June.. The answer is: no.

Question: Are all types of pottery safe to cook in?
Answer: Some types of pottery glaze are unsafe for contact with food meant for human consumption. Antique pottery pieces may have hazardous levels of lead in them.. The answer is: no.

Can whole genome sequencing be used for COVID-19?
Rationale first then the answer.
Whole genome sequencing is used to analyze DNA. RNA viruses do not have DNA. COVID-19 is an RNA virus.. The answer is: no.

Question: Does Mario use mushrooms to run faster?
Answer:

[Assistant] Mushrooms in the Mario universe are used to provide extra lives and to make Mario grow, providing him an extra hit point. Mario is made to run faster when he wears bunny ears or uses a starman.. The answer is: no.


[User] Answer the following question, but give the rationale first. Did Secretariat win a Formula One championship?

[Assistant] Secretariat is a famous race horse. Formula One is an auto racing championship. So the final answer is no.


[User]
QUESTION: Would you take a photo of a Saltwater crocodile in Memphis?
Please give rationale first, then the answer.
ANSWER: The saltwater crocodile is native to saltwater habitats and brackish wetlands from India's east coast across Southeast Asia and the Sundaic region to northern Australia and Micronesia. Memphis is a city in the United States.. The answer is: no.

Question: Is University of Pittsburgh easier to enter than FBI?
Answer: The University of Pittsburgh has around a 60% acceptance rate. The FBI estimated accepting 900 agents out of 16000 applicants in 2019.. The answer is: yes.

Do you need to worry about Zika virus in Antarctica?
Rationale first then the answer.
Mosquitoes cannot survive in the climate of Antarctica. Zika virus is primarily spread through mosquito bites.. The answer is: no.

QUESTION: Would Hodor hypothetically be a good math mathematician?
Please give rationale first, then the answer.
ANSWER: Mathematicians are expert students of mathematics. Hodor was a dimwitted giant of a man that served House Stark in Game of Thrones. Hodor worked in the stables and could only utter the only word he ever said was his own name. Mathematicians frequently publish articles on theories and need to be able to read and write.. The answer is: no.

Question: Is Final Fantasy VI closer to beginning than end of its franchise?
Answer: Final Fantasy VI is the sixth entry into the Final Fantasy series of video games. There are 15 total games in the main Final Fantasy series of video games as of 2020.. The answer is: yes.

Is Phobos (moon) name origin similar to Roman god Pavor?
Rationale first then the answer.

[Assistant] Phobos (moon) derives its name from ancient Greek mythology. Phobos was the god of fear. In Roman mythology, Pavor or Terror is known as the personification of fear.. The answer is: yes.


[User] Answer the following question by reasoning step-by-step. Did Naruto escape the Temple of Doom?

[Assistant] Naruto is a character in a Japanese anime and manga about ninjas. The Temple of Doom is a setting from an Indiana Jones movie. Therefore, the final answer is no.


[User]
Question: Can a cell fit inside of a shoebox?
Answer: The average shoebox is around 14 inches by 10 inches by 5 inches. The average eukaryotic cell is between 1 and 100 micrometers in diameter.. The answer is: yes.

Question: Did Harvey Milk ever run for governor?
Answer: In 1977 Harvey Milk was elected to the San Francisco Board of Supervisors. Less than a year later, he was assassinated before he could run for higher offices.. The answer is: no.

Question: Would Columbus have discovered Durian trees during his 1492 expedition?
Answer:

[Assistant] Columbus ended up in the Americas. Durian only exists in Southeast Asia.. The answer is: no.