[User]
Q: 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
A: OK... Stream of consciousness: A = 2000(21/20)2 = 2205
The answer is (A).

Q: What is the sum of all the prime numbers greater than 50 but less than 70?
Options:
(A) 249
(B) 248
(C) 246
(D) 240
(E) 241
A: OK... Stream of consciousness: Required sum = (53 + 59 + 61 + 67 ) = 240
Note: 1 is not a prime number
The answer is (D).

Q: If N is the least positive integer that is divisible by every integer from 3 to 10 inclusive, then N/7 is =
Options:
(A)  360
(B)  720
(C)  2520
(D)  3960
(E)  6720
A: OK... Stream of consciousness: The integer should be divisible by: 3, 4, 5, 6, 7, 8, 9 and 10, that is 3, 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5. The least common multiple of these integers is the product of 7, 5, 3^2 and 2^3. Then, N/7 is (7 * 5 * 3^2 * 2^3)/7 = 5*9*8 = 360.
The answer is (A).

Q: If a and b are unique prime integers, which of the following must be even?
Options:
(A) a−b
(B) a−2b
(C) 2a−2b
(D) 2a−b
(E) ab^2
A:

[Assistant]
OK... Stream of consciousness: Let's assume that a is an even prime integer and b is an odd prime integer, their subtraction results in an odd integer and an odd integer multiplied by an even integer yields an even integer.
The answer is (C).


[User]
q: A train 490 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 15 sec
(B) 16 sec
(C) 28 sec
(D) 20 sec
(E) 25 sec
a: Stream of consciousness: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 490 * 2/35 = 28 se The answer is (C).

question: 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) 18 sec
(B) 28 sec
(C) 48 sec
(D) 29 sec
(E) 24 sec
answer: Stream of consciousness: D = 540 + 180 = 720
S = 54 * 5/18 = 15 mps
T = 720/15 = 48 se The answer is (C).

q: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Options:
(A) 34%
(B) 56%
(C) 57%
(D) 67%
(E) 78%
a: Stream of consciousness: Total number of votes polled = (1136 + 7636 + 11628) = 20400
So, Required percentage = 11628/20400 * 100 = 57% The answer is (C).

question: In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 200 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
Options:
(A) 140
(B) 146
(C) 152
(D) 162
(E) 170
answer: Stream of consciousness: Number of newborns that can die in first month = 1/10 * 200 = 20
Survived = 180
Number of newborns that can die in second month = 1/10 * 180 = 18
Survived = 162
Number of newborns that can die in third month = 1/10 * 162 = 16
Survived = 146 The answer is (B).

q: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is?
Options:
(A) 5/15
(B) 5/12
(C) 5/19
(D) 5/12
(E) 5/11
a: Stream of consciousness: Using question number 11 and 12, we get the probability as
1 - (1/36 + 5/9) = 5/12 The answer is (B).

q: The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 50 with him, what was the average amount with the group before his joining the group?
Options:
(A) Rs.17
(B) Rs.76
(C) Rs.15
(D) Rs.72
(E) Rs.71
a:

[Assistant]
Stream of consciousness: Total members in the group = 7
Average amount = Rs. 20
Total amount with them = 7 * 20 = Rs. 140
One number has Rs. 50. So, the amount with remaining 6 people = 140 - 50 = Rs. 90
The average amount with them = 90/6 = Rs. 15. The answer is (C).


[User]
Question: Look at this series: 1.25, 7.5, ____, 270, 1620, ... What number should fill the blank?
Options:
(A) 50
(B) 65
(C) 45
(D) 55
(E) 40
Answer: This is a simple multiplication series. Each number is 6 times greater than the previous number.
The answer is (C).

Question: A and B complete a work in 9 days. A alone can do it in 18 days. If both together can do the work in how many days?
Options:
(A) 6 days
(B) 8 days
(C) 5 days
(D) 7 days
(E) 15 days
Answer: 1/9 + 1/18 = 1/6
6/1 = 6 days
The answer is (A).

Question: The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8748, its purchase price was :
Options:
(A) 12000
(B) 10000
(C) 15000
(D) 20000
(E) 25000
Answer: Purchase = 8748/(1-10/100^3) = 12000
The answer is (A).

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) 85 m
(B) 70 m
(C) 115 m
(D) 50 m
(E) 150 m
Answer:

[Assistant]
Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 3 = 50 m
The answer is (D).


[User]
question: A train 140 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 18 sec
(B) 6 sec
(C) 8 sec
(D) 15 sec
(E) 7 sec
answer: Stream of consciousness: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 140 * 2/35 = 8 se The answer is (C).

q: Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
Options:
(A) 128
(B) 150
(C) 887
(D) 279
(E) 771
a: Stream of consciousness: 1/2 * 20(9 + 6) = 150 cm2 The answer is (B).

question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
Options:
(A) 1227
(B) 2088
(C) 26788
(D) 8112
(E) 1871
answer: Stream of consciousness: A = 7500(26/25)2 = 8112 The answer is (D).

q: Find the 100th place digit of a number forming from digits 1 to 9 without repeatation and number passes the divisibility test of 11 means difference of sum of alternative digits is 0 or divisible by 11.
Options:
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
a: Stream of consciousness: Largest no is 987652413
So digit will be 4 The answer is (D).

question: (998-1)(998-2)(998-3)........(998-n)=....... when n>1000
Options:
(A) 4
(B) 3
(C) 2
(D) 1
(E) 0
answer: Stream of consciousness: The term (998-998) makes the whole expression = 0. The answer is (E).

question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 70 as remainder. Find the no. is?
Options:
(A) 145646
(B) 236578
(C) 645353
(D) 456546
(E) 220070
answer:

[Assistant] Stream of consciousness: (555 + 445) * 2 * 110 + 70 = 220000 + 70 = 220070 The answer is (E).


[User]
question: If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
Options:
(A) 22 1/7%
(B) 22 7/2%
(C) 29 1/2%
(D) 22 1/2%
(E) 22 1/3%
answer: Stream of consciousness: 9 = (1*40*R)/100
R = 22 1/2 % The answer is (D).

q: If a company allocates 10 percent of its budget to advertising, 10 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?
Options:
(A) 4/5
(B) 1/4
(C) 3/10
(D) 1/5
(E) 1/10
a: Stream of consciousness: 10 + 10 + 55 = 75% 100 - 75 = 25% to all others The answer is (B).

question: The average of five numbers is 9. The average of first two numbers is 7 and the average of last two numbers is 12. What is the middle number?
Options:
(A) 7
(B) 8
(C) 5
(D) 10
(E) 6
answer: Stream of consciousness: The total of five numbers = 5x9 = 45
The total of first 2 and last 2 numbers is = 2 X 7+2 X 12 = 38
So, the middle number is (45 - 38 ) = 7 The answer is (A).

q: How many numbers between 101 and 250, exclusive are divisible by three?
Options:
(A) 34
(B) 41
(C) 50
(D) 83
(E) 148
a: Stream of consciousness: Numbers upto 250 divisible by 3 is 250/3 = 83
Numbers upto 101 divisible by 3 is 101/3 = 33
Total number of numbers between 101 and 250 that are divisible by 3 is 83 - 33 = 50 The answer is (C).

question: In a is a positive integer smaller than 200 and (14a)/60 is an integer, then a has how many different positive prime factors?
Options:
(A) 2
(B) 3
(C) 5
(D) 6
(E) 8
answer: Stream of consciousness: 7a/30 tells us that a is a factor of 30, which has 2, 3, and 5 as its prime factors. Each of them is distinct. Moreover, all multiples of 30 less than 200 can be derived by multiplying these prime factors alone. Thus, number of different prime factors is 3. The answer is (B).

question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Options:
(A) 22
(B) 28
(C) 29
(D) 20
(E) 21
answer:

[Assistant]
Stream of consciousness: Average of 20 numbers = 0
Sum of 20 numbers = (0 * 20) = 0
It is quite possible that 19 of these numbers may be positive and if their sum is a, then 20th number is (-a). The answer is (D).


[User]
Student: The average of six results is 15 and that of the first five is 13. The sixth result is?
Options:
(A) 20
(B) 25
(C) 15
(D) 22
(E) 18.
Another student: Let's say, hmmm...

[Assistant] 6 * 15 â€“ 5 * 13 = 25 Final answer: (B).


[User]
q: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?
Options:
(A) 29893
(B) 27773
(C) 29989
(D) 28800
(E) 29883
a: Stream of consciousness: Simple interest = (18000 * 4 * 15)/100 = Rs. 10800
Amount = P + I = 18000 + 10800 = Rs. 28800 The answer is (D).

question: Is 2 a prime number or a composite number?
Options:
(A) prime number
(B) composite number
(C) both prime composite number
(D) Not prime composite number
(E) Don't Know
answer: Stream of consciousness: A Prime Number can be divided evenly only by 1 or itself
So 2 is prime number The answer is (A).

q: (x +1 )(2x - 2)(3x + 3) = ax3+bx2+cx+dax3+bx2+cx+d What are the values of a, b, c and d?
Options:
(A) 2
(B) 7
(C) 6
(D) 1
(E) 9
a: Stream of consciousness: (x + 1)(2x - 2)(3x + 3) = ax3+bx2+cx+dax3+bx2+cx+d
6(x + 1)(x - 1)(x + 1) = ax3+bx2+cx+dax3+bx2+cx+d
6(x2x2 - 1)(x + 1) = ax3+bx2+cx+dax3+bx2+cx+d
⇒6(x3+x2−x−1)⇒6(x3+x2−x−1) = ax3+bx2+cx+dax3+bx2+cx+d
⇒6x3+6x2−6x−6⇒6x3+6x2−6x−6 = ax3+bx2+cx+dax3+bx2+cx+d
Equating the coefficients of like learns on both the sides, a = 6, b = 6, c = -6 and d = -6. The answer is (C).

question: The sale price shirts listed for Rs.400 after successive discount is 10% and 5% is?
Options:
(A) 280
(B) 290
(C) Rs.342
(D) 250
(E) 253
answer: Stream of consciousness: 400*(90/100)* (95/100) = 342 The answer is (C).

q: he population of a city is 150,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?
Options:
(A) 1697787
(B) 1697723
(C) 168540
(D) 169728
(E) 169718
a: Stream of consciousness: Population after n years = P [1 + (R/100)]2
Population after 2 years = 150000 * [1 + 6/100]2 = (150000 x 53/50 x 53/50) = 168540 The answer is (C).

q: 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
a:

[Assistant]
Stream of consciousness: 125% of 120% of A = 222
125/100 * 120/100 * A = 222
A = 222 * 2/3 = 148. The answer is (B).


[User]
question: The average of first 14 even numbers is?
Options:
(A) 19
(B) 18
(C) 16
(D) 11
(E) 15
answer: Stream of consciousness: Sum of 14 even numbers = 14 * 15 = 210
Average = 210/14 = 15 The answer is (E).

q: 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
a: Stream of consciousness: 1/15 + 1/30 - 1/40 = 9/120
120/9 = 13 3/7 The answer is (D).

question: A 400 meter long train crosses a man standing on the platform in 10 sec. What is the speed of the train?
Options:
(A) 144
(B) 108
(C) 278
(D) 126
(E) 112
answer: Stream of consciousness: S = 400/10 * 18/5 = 144 kmph The answer is (A).

q: A 140 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Options:
(A) 228
(B) 108
(C) 84
(D) 188
(E) 211
a: Stream of consciousness: S = 140/6 * 18/5 = 84kmph The answer is (C).

question: A small company employs 5 men and 3 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 women?
Options:
(A)  1/14
(B)  1/7
(C)  2/7
(D) 1/2
(E)  3/7
answer: Stream of consciousness: Total ways to choose 4 employees from 8 employees = 8C4
Two women = 3C2
Two Men = 5C2
P = (5C2 * 3C2)/8C2 = 3/7 hence The answer is (E).

question: The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
Options:
(A) 9
(B) 8
(C) 7
(D) 6
(E) 2
answer:

[Assistant]
Stream of consciousness: 1 to 9 = 9 * 9 = 81
1 to 5 = 5 * 10 = 50
5 to 9 = 5 * 8 = 40
5th = 50 + 40 = 90 – 81 = 9 The answer is (A).


[User]
q: There are 5 chess amateurs playing in Villa's chess club tournament. If each chess amateur plays with exactly 16 other amateurs, what is the total number of chess games possible to be played in the tournament?
Options:
(A) 10
(B) 20
(C) 40
(D) 60
(E) 120
a: Stream of consciousness: Each person is one participant of 4 games. So there are in all 16*5 = 80 instances of one participant games. But each game has 2 participants so total number of games = 80/2 = 40 The answer is (C).

question: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Options:
(A) 45%
(B) 56%
(C) 57%
(D) 70%
(E) 72%
answer: Stream of consciousness: Total number of votes polled = (1136 + 7636 + 11628) = 20400
So, Required percentage = 11628/20400 * 100 = 57% The answer is (C).

q: Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 16, and 18 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)  144/17
(E)  11/4
a: Stream of consciousness: P1 takes 12 hrs
Rate for P2P3 together = 1/16 + 1/18 = 17/144
Therefore they take 144/17
Ratio = 144/17 = The answer is (D).

question: A marble shop contains 5 blue marbles, 5 red marbles, and 5 green marbles. If 2 marbles are purchased at random from the shop, what is the probability that the 2 marbles will be of the red?
Options:
(A) 5/15
(B) 2/21
(C) 20/15
(D) 5/210
(E) 4/14
answer: Stream of consciousness: Of the 15 marbles we are wanting red:
Probability of choosing 1st red marble: 5/15
Probability of Choosing 2nd red marble: 4/14
Multiply and you get 20/210 simplified to 2/21 The answer is (B).

q: 2 44 4 41 6 38 8 - Look carefully for the pattern, and then choose which pair of numbers comes next.
Options:
(A) 35 10
(B) 12 10
(C) 9 34
(D) 52 10
(E) 34 89
a: Stream of consciousness: Here, there are two alternating patterns, one addition and one subtraction. The first starts with 2 and increases by 2; the second starts with 44 and decreases by 3. The answer is (D).

q: In an office, 10 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?
Options:
(A)  16
(B)  64
(C)  50
(D)  144
(E)  160
a:

[Assistant]
Stream of consciousness: (10/100)Workers = 16 = > number of workers = 160
(10/100)*Workers = x+16 = > x = 16 The answer is (A).


[User]
Q: If x is an odd integer, which of the following is an odd integer?
Options:
(A) 2x
(B) 3x-1
(C) 5x+6
(D) x+x^2
(E) 6x-6
A: OK... Stream of consciousness: Plug in an odd integer; in this case 3
(2*3) = 6 Even
(3*3)-1 = 8 Even
(5*3)+6 = 15 + 6 = 21 Odd
3+3^2 = 3 + 9 = 12 Even
(6*3)-6 = 18 - 6 = 12 Even
The answer is (C).

Q: Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.15 per cubic meter?
Options:
(A) Rs.1185
(B) Rs.1285
(C) Rs.1385
(D) Rs.1485
(E) Rs.1495
A: OK... Stream of consciousness: 22/7 * 14 * 3/2 * 3/2 = 99 m2
99 * 15 = 1485
The answer is (D).

Q: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 4 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?
Options:
(A) 60 gallons
(B) 100 gallons
(C) 120 gallons
(D) 160 gallons
(E) 130 gallons
A: OK... Stream of consciousness: Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40
Volume of 1/40 part = 4 gallons\
Volume of whole = 4 * 40 = 160 gallons.
The answer is (D).

Q: A train 70 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 4 sec
(B) 16 sec
(C) 6 sec
(D) 20 sec
(E) 8 sec
A:

[Assistant]
OK... Stream of consciousness: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 70 * 2/35 = 16 sec
The answer is (A).


[User]
Give stream of consciousness and then the final answer. Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 2345
(B) 3456
(C) 2334
(D) 3456
(E) 5184

[Assistant]
Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62
The final answer: (E).


[User]
question: If 10 crates have 98 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) 0
answer: Stream of consciousness: Each crate requires 2 apples and totally there are 10 crates so required apples = 10 * 2 = 20 The answer is (D).

q: 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 30 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) 400 miles
a: Stream of consciousness: Answer = A. 60 miles
Relational speed = 130 - 100 = 30 miles per hour
In 3 hours, difference = 30 * 3 = 90 miles
Fast train trailing 30 miles, so effective difference = 90 - 30 = 60 miles The answer is (A).

question: The no. of girls in a class are seven times the no. of boys, which value cannever be the of total students?
Options:
(A) 3
(B) 4
(C) 8
(D) 9
(E) 12
answer: Stream of consciousness: Let the boys are X, then girls are 7X, total = X+7X = 8X
So it should be multiple of 8, 30 is not a multiple of 8. The answer is (C).

q: The total population of city A and city B is 5000 more than the total population of city B and city C. How much lesser is the population in city C as compared to city A?
Options:
(A) 8500
(B) 3500
(C) 4500
(D) 5000
(E) 1500
a: Stream of consciousness: (A + B) - (B + C) = 5000
A - C = 5000 The answer is (D).

question: A train 400 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Options:
(A) 22 kmph
(B) 77 kmph
(C) 54 kmph
(D) 71 kmph
(E) 90 kmph
answer: Stream of consciousness: S = 400/16 * 18/5 = 90 kmph The answer is (E).

question: Right triangle ABC is the base of the prism in the figure above. If AB=AC=√2 and the height of the prism is 3, what is the volume of the prism?
Options:
(A) 1
(B) 3/2
(C) 2
(D) 3
(E) 6
answer:

[Assistant] Stream of consciousness: Volume of prism = Area of base * height = 1/2* (square root of 2) * (square root of 2)*3 = 3 The answer is (D).


[User]
question: The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Options:
(A) 30/90 kmph
(B) 80,40 kmph
(C) 24,98 kmph
(D) 30,54 kmph
(E) 45.98 kmph
answer: Stream of consciousness: Speed downstream = 60 + 20 = 80 kmph
Speed upstream = 60 - 20 = 40 kmph The answer is (B).

q: The average of 10 numbers is calculated as 5. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
Options:
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
a: Stream of consciousness: 10 * 5 + 36 – 26 = 60/10 = 6 The answer is (E).

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. 101 players took part in that tournament. How many matches were played?
Options:
(A) 90 matches
(B) 95 matches
(C) 99 matches
(D) 100 matches
(E) 87 matches
answer: Stream of consciousness: D
100 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 100 matches were playe The answer is (D).

q: A merchant sold two items for Rs.1700 each, and makes a profit of 25% from the first item and a loss of 20% from the second item. calculate the total gain or loss.
Options:
(A) 7
(B) 5
(C) 3
(D) 6
(E) 4
a: Stream of consciousness: (25*20)/100 = 5%loss The answer is (B).

question: The average age of 11 boys is 50, if the average age of first six boys is 49 and that of the last six is 52. Find the boy age?
Options:
(A) 48
(B) 50
(C) 56
(D) 62
(E) 64
answer: Stream of consciousness: 1 to 11 = 11 * 50 = 550
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 – 550 = 56 The answer is (C).

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 six 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) 25%
(B) 50%
(C) 75%
(D) 100%
(E) 150%
answer:

[Assistant]
Stream of consciousness: Dolphin once in 3 min;
Beluga once in 6 min;
So, dolphin comes up 2 times frequently than beluga, which is 150% (6-3)/2*100. The answer is (E).


[User]
q: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 2134
(B) 2245
(C) 3450
(D) 4500
(E) 5184
a: Stream of consciousness: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62 The answer is (E).

question: If the cost price of 50 articles is equal to the selling price of 15 articles, then the gain or loss percent is?
Options:
(A) 16
(B) 127
(C) 12
(D) 18
(E) 233
answer: Stream of consciousness: Percentage of profit = 35/15 * 100 = 233% The answer is (E).

q: 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
a: Stream of consciousness: 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 is (C).

question: A 180 meter long train crosses a man standing on the platform in 9 sec. What is the speed of the train?
Options:
(A) 72
(B) 108
(C) 1266
(D) 188
(E) 211
answer: Stream of consciousness: S = 180/9 * 18/5 = 72 kmph The answer is (A).

q: 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
a: Stream of consciousness: 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 The answer is (C).

q: How many seconds will a train 100 meters long take to cross a bridge 120 meters long if the speed of the train is 36 kmph?
Options:
(A) 54 sec
(B) 65 sec
(C) 25 sec
(D) 22 sec
(E) 24 sec
a:

[Assistant]
Stream of consciousness: D = 100 + 120 = 220
S = 36 * 5/18 = 10 mps
T = 220/10 = 22 sec The answer is (D).


[User]
question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is ?
Options:
(A) 1/8
(B) 1/4
(C) 1/5
(D) 1/9
(E) 1/1
answer: Stream of consciousness: 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 The answer is (C).
--
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
answer: Stream of consciousness: Each crate requires 6 apples and totally there are 10 crates so required apples = 10 * 6 = 60 The answer is (E).
--
question: A man rows his boat 75 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Options:
(A) 1 kmph
(B) 6 kmph
(C) 5 kmph
(D) 8 kmph
(E) 7 kmph
answer: Stream of consciousness: Speed downstream = d/t = 75/(2 1/2) = 30 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph
The speed of the stream = (30 - 18)/2 = 6 kmph The answer is (B).
--
question: In how many different number of ways 7 men and 3 women can sit on a shopa which can accommodate persons?
Options:
(A) 200
(B) 230
(C) 240
(D) 250
(E) 5040
answer:

[Assistant]
Stream of consciousness: 10p4 = 10 X 9 X 8 X 7 = 5040 The answer is (E).
--


[User]
question: The purchase price of an article is $48. In order to include 20% of cost for overhead and to provide $12 of net profit, the markup should be
Options:
(A) 15%
(B) 25%
(C) 35%
(D) 40%
(E) 45%
answer: Stream of consciousness: Cost price of article = 48$
% of overhead cost = 20
Net profit = 12 $
We need to calculate % markup
Net profit as % of cost price = (12/48)*100 = 25%
Total markup should be = 25 + 20 = 45% The answer is (E).

q: There are different 15 circles. What is the number of the greatest possible points with which the circles intersect?
Options:
(A) 390
(B) 100
(C) 110
(D) 180
(E) 210
a: Stream of consciousness: Maximum points of intersection between n different circles = n*(n - 1) = 15*14 = 210 The answer is (E).

question: An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 4 utility stocks, how many different combinations of 7 stocks are possible?
--
Options:
(A) 12
(B) 19
(C) 360
(D) 580
(E) 720
answer: Stream of consciousness: 5C3 * 4C2 * 4C2 = 10*6*6 = 360. The answer is (C).

q: Look at this series: 36, 34, 30, 28, 24, ... What number should come next?
Options:
(A) 20
(B) 22
(C) 25
(D) 24
(E) 26
a: Stream of consciousness: This is an alternating number subtraction series. First, 2 is subtracted, then 4, then 2, and so on. The answer is (B).

question: The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 50 with him, what was the average amount with the group before his joining the group?
Options:
(A) 22
(B) 27
(C) 15
(D) 77
(E) 16
answer: Stream of consciousness: Total members in the group = 7
Average amount = Rs. 20
Total amount with them = 7 * 20 = Rs. 140
One number has Rs. 50. So, the amount with remaining 6 people = 140 - 50 = Rs. 90
The average amount with them = 90/6 = Rs. 15. The answer is (C).

question: A family pays $800 per year for an insurance plan that pays 85 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) $1,100
(B) $1,200
(C) $1,400
(D) $1,800
(E) $2,200
answer:

[Assistant]
Stream of consciousness: Upfront payment for insurance plan = 800$
Family needs to pay 15 % of first 1000 $ in expense = 150$
Total amount paid by family when medical expenses are equal to or greater than 1000 $ = 800 + 150 = 950 $
Total amount paid by insurance plan for first 1000 $ = 800 $
Total amount paid by family will equal amount paid by plan when medical expense = 1100 $
(Since insurance plan will pay 100% of amount that exceeds 950$ ) The answer is (A).


[User]
q: What is the least number should be added to 1056, so the sum of the number is completely divisible by 26?
Options:
(A) 10
(B) 20
(C) 30
(D) 40
(E) 50
a: Stream of consciousness: (1056 / 26) gives remainder 16
10 + 16 = 26, So we need to add 10 The answer is (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) 5 min
(C) 6 min
(D) 8 min
(E) 10 min
answer: Stream of consciousness: S = 600/40 = 15 mps
S = 3600/15 = 240 sec = 4 min The answer is (A).

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
a: Stream of consciousness: A = 8000(21/20)3 = 9261 The answer is (B).

question: If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
Options:
(A) 22 1/8 %
(B) 22 9/2 %
(C) 22 1/7 %
(D) 22 1/2 %
(E) 21 1/2 %
answer: Stream of consciousness: 9 = (1*40*R)/100
R = 22 1/2 % The answer is (D).

q: A football field is 7200 square yards. If 1200 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) 3200
a: Stream of consciousness: Answer A) 9600 yards need 1200 lbs
1 Yard will need 1200/7200 = 1/6 lbs
3600 Yards will need 1/6* 3600 Yards = 600lbs The answer is (B).

q: 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
a:

[Assistant]
Stream of consciousness: 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 The answer is (D).


[User]
q: In e is a positive integer smaller than 200 and (14e)/60 is an integer, then e has how many different positive prime factors?
Options:
(A) 2
(B) 3
(C) 5
(D) 6
(E) 8
a: Stream of consciousness: 7e/30 tells us that e is a factor of 30, which has 2, 3, and 5 as its prime factors. Each of them is distinct. Moreover, all multiples of 30 less than 200 can be derived by multiplying these prime factors alone. Thus, number of different prime factors is 3. The answer is (B).
--
q: 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
a: Stream of consciousness: 50*10 = 500
68*5 = 340
840/15 = 56 The answer is (C).
--
q: A motorcyclist goes from Bombay to Pune, a distance of 128 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) 1:3
(B) 1:5
(C) 1:4
(D) 1:1
(E) 1:8
a:

[Assistant]
Stream of consciousness: T = 128/32 = 4 h
T = 4 - 3 = 1
Time Ratio = 4:1 = 4:1
Speed Ratio = 1:4 The answer is (C).
--


[User]
A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 25 as remainder. Find the no. is?
Options:
(A) 145646
(B) 236578
(C) 645353
(D) 456546
(E) 220025 Hmmm, my stream of consciousness:

[Assistant] (555 + 445) * 2 * 110 + 25 = 220000 + 25 = 220025 So, the answer is (E).


[User]
How many terminating zeroes R does 200! have?
Options:
(A)  40
(B)  48
(C)  49
(D)  55
(E)  64 Think first, then make a decision. Some random thoughts:

[Assistant] You have 40 multiples of 5, 8 of 25 and 1 of 125. This will give 49 zeros. So the answer is (C).


[User]
q: 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) 32 sec
(C) 12 sec
(D) 85 sec
(E) 56 sec
a: OK... Answer: Option A
Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25 = 40 sec
The answer is (A).

q: There are 5person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?
Options:
(A) 4!*2!
(B) 2!*2!
(C) 6!*1!
(D) 2!*1!
(E) 5!*1!
a: OK... Total number of ways = 2!*2!.
The answer is (B).

q: The average height in a group of 4 people is 175 cm. If the average height increased when 2 more people were added to the group, which of the following cannot be the heights of the two new people?
Options:
(A) 179 cm and 172 cm
(B) 181 cm and 169 cm
(C) 173 cm and 178 cm
(D) 176 cm and 176 cm
(E) 174 cm and 177 cm
a:

[Assistant]
OK... Denote X as the sum of the heights of the two new people. From the stem it follows that (700+X)6>175. This reduces to X>350. Only the heights from B add up to 350 cm. All other pairs add up to more than 350 cm.
The answer is (B).


[User]
q: In a bucket there are 3 blue balls and 2 red balls. What is the probability of drawing at least one blue ball when drawing two consecutive balls randomly?
Options:
(A) 9/10
(B) 16/20
(C) 2/5
(D) 3/5
(E) ½
a: Stream of consciousness: P(at least one blue) = 1 - P(no blue, so 2 red) = 1- 2/5*1/4 = 9/10. The answer is (A).

question: A man rows his boat 90 km downstream and 5` km upstream, taking 3 hours each time. Find the speed of the stream?
Options:
(A) 7 kmph
(B) 5 kmph
(C) 2 kmph
(D) 8 kmph
(E) 1 kmph
answer: Stream of consciousness: Speed downstream = d/t = 90/(3) = 30 kmph
Speed upstream = d/t = 51/(3) = 17 kmph
The speed of the stream = (30 - 17)/2 = 7 kmph The answer is (A).

q: A can do a piece of work in 3 hours; B and C together can do it in 2 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?
Options:
(A) 6hours
(B) 3hours
(C) 2hours
(D) 5hours
(E) 4hours
a: Stream of consciousness: A's 1 hour work = 1/3;
(B + C)'s 1 hour work = 1/2;
(A + C)'s 1 hour work = 1/2
(A + B + C)'s 1 hour work = (1/3 + 1/2) = 5/6
B's 1 hour work = (5/6 - 1/2) = 1/3
B alone will take 3 hours to do the work. The answer is (B).

question: In how many different ways can the letters of the word "CLAIM" be rearrangement?
Options:
(A) 100
(B) 120
(C) 130
(D) 143
(E) 145
answer: Stream of consciousness: The total number of arrangements is
5P5 = 5! = 120 The answer is (B).

q: 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
a: Stream of consciousness: (2*40+3*80)/5 = 64mph The answer is (D).

q: In an office, 20 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?
Options:
(A)  32
(B)  64
(C)  50
(D)  144
(E)  160
a:

[Assistant]
Stream of consciousness: (10/100)Workers = 16 = > number of workers = 160
(20/100)*Workers = x+16 = > x = 32 The answer is (A).


[User]
q: A train running at the speed of 90 km/hr crosses a pole in 9 seconds. Find the length of the train.
Options:
(A) 225 meter
(B) 200 meter
(C) 250 meter
(D) 210 meter
(E) 230 meter
a: Stream of consciousness: Speed = 90*(5/18) m/sec = 25 m/sec
Length of Train (Distance) = Speed * Time
(25) * 9 = 225 meter The answer is (A).
--
q: A pipe can fill a cistern in 14 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) 17
(B) 16
(C) 28
(D) 13
(E) 12
a: Stream of consciousness: 1/14 - 1/28 = 1/28
28 minutes The answer is (C).
--
q: In a jar there are 3 golf balls and 2 ping pong balls. What is the probability of drawing at least one golf ball when drawing two consecutive balls randomly?
Options:
(A) 1/4
(B) 1/2
(C) 3/5
(D) 9/10
(E) 16/20
a:

[Assistant]
Stream of consciousness: P(at least one gold ball) = 1 - P(no golf ball, so 2 ping pong balls) = 1- 2/5*1/4 = 9/10. The answer is (D).
--


[User]
Find the average of the first 23 natural numbers?
Options:
(A) 8
(B) 9
(C) 10
(D) 11
(E) 12 Let's think first. Stream of consciousness:

[Assistant]
Average of the first 'n' natural numbers = (n + 1)/2
We get (23 + 1)/2 = 12
So, the answer is (E).


[User]
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
answer: Stream of consciousness: 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 is (B).

q: 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
a: Stream of consciousness: 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. The answer is (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%
answer: Stream of consciousness: Total number of votes polled = (3136 + 7636 + 11628) = 22400
So, Required percentage = 11628/22400 * 100 = 52% The answer is (C).

q: 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
a: Stream of consciousness: 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 The answer is (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
answer: Stream of consciousness: 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 is (B).

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
answer:

[Assistant]
Stream of consciousness: Speed downstream = 80 + 20 = 100 kmph
Speed upstream = 80 - 20 = 60 kmph The answer is (C).


[User]
q: Using all the letters of the word "THURSDAY", how many different words can be formed?
Options:
(A) 8
(B) 8!
(C) 7!
(D) 7
(E) 5
a: Stream of consciousness: Total number of letters = 8
Using these letters the number of 8 letters words formed is ⁸P₈ = 8!. The answer is (B).

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. 101 players took part in that tournament. How many matches were played?
Options:
(A) 90 matches
(B) 95 matches
(C) 99 matches
(D) 100 matches
(E) 87 matches
answer: Stream of consciousness: D
100 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 100 matches were playe The answer is (D).

q: 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) 1961
(B) 1981
(C) 1991
(D) 1971
(E) None of the above
a: Stream of consciousness: 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 is (B).

question: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 120 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 10 miles behind the slower one. How far apart are the two trains at 6 o'clock?
Options:
(A) 60 miles
(B) 80 miles
(C) 110 miles
(D) 120 miles
(E) 400 miles
answer: Stream of consciousness: Answer = C. 110 miles
Relational speed = 120 - 100 = 20 miles per hour
In 4 hours, difference = 20 * 4 = 120 miles
Fast train trailing 10 miles, so effective difference = 120 - 10 = 110 miles The answer is (C).

q: If x is a positive integer, which of the following could NOT be the square of x?
Options:
(A) 5,008,644
(B) 5,004,169
(C) 4,999,696
(D) 4,995,225
(E) 4,990,752
a: Stream of consciousness: A perfect square will never end in 2, 3, 7 or 8. (last digit cannot be 2, 3, 7 or 8)
Here E is the odd one out. The answer is (E).

q: If 10 litres of an oil of Rs.54 per litres be mixed with 5 litres of another oil of Rs.66 per litre then what is the rate of mixed oil per litre?
Options:
(A) Rs.49.17
(B) Rs.58
(C) Rs.54.17
(D) Rs.55.33
(E) None of the above
a:

[Assistant]
Stream of consciousness: 54*10 = 540
66*5 = 330
870/15 = 58 The answer is (B).


[User]
There are 10 female and 15 male in a work place. In how many ways can a person can be selected?
Options:
(A) 20
(B) 15
(C) 18
(D) 40
(E) 25 Now, let's think a bit. Some random thoughts:

[Assistant]
No of ways = 10+ 15 = 25
The final answer: (E).


[User]
How much is 40% of 60 is greater than 4/5 of 25?
Options:
(A) 2
(B) 5
(C) 12
(D) 8
(E) 4
--
(40/100) * 60 â€“ (4/5) * 25
24 - 20 = 4 So the answer is: (E).
-----
Find the invalid no.from the following series 13, 18, 25, 30, 37, 40
Options:
(A) 13
(B) 18
(C) 40
(D) 37
(E) 40
--
The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5. So, 40 is wrong. So the answer is: (C).
-----
Jasmine has a toaster with two slots that toasts one side of each piece of bread at a time, and it takes one minute to do so.
If she wants to make 3 pieces of toast, what is the least amount of time she needs to toast them on both sides?
Options:
(A) 1
(B) 2
(C) 3 min
(D) 4
(E) 5
--

[Assistant]
3 minutes. She puts two pieces in the toaster, toasting one side of each. Then she flips one of them, takes one out, and puts the completely untoasted piece into the toaster. Finally, she takes out the toasted piece and puts the two half-toasted pieces of bread into the toaster for a minute and she's done. So the answer is: (C).
-----


[User]
Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
Options:
(A) 238
(B) 270
(C) 987
(D) 167
(E) 121 Stream of consciousness first, then make a decision:

[Assistant]
I = (500*9*6)/100 = 270
Thus, the answer is (B).


[User]
question: a, b, c, and d are positive integers where a is a factor of b and c is a factor of d. Which of the following is NOT necessarily an integer?
Options:
(A) (ac) /(bd)
(B) (bd) /(ac)
(C) (bcd) /a
(D) d/c + b/a
(E) (a + b) d/c
answer: Stream of consciousness: As per the question, let a = 2, b = 6, c = 5, and d = 10. Plugging these into the answer choices, only A does not yield an integer. The answer is (A).
--
question: An design manager has 10patterns of chairs & 6patterns of tables. In how many ways can he make a pair of table & chair?
Options:
(A) 20
(B) 60
(C) 80
(D) 90
(E) 100
answer: Stream of consciousness: He has has ten patterns of chairs and eight patterns of tables
Hence, A chair can be arranged in 10 ways and
A table can be arranged in 6 ways
Hence one chair and one table can be arranged in 10 x 6 ways = 60 ways The answer is (B).
--
question: In what time a sum of money double itself at 7% per annum simple interest?
Options:
(A) 33 1/8%
(B) 33 1/3%
(C) 14 2/7%
(D) 32 1/3%
(E) 23 1/3%
answer: Stream of consciousness: P = (P*7*R)/100
R = 14 2/7% The answer is (C).
--
question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
Options:
(A) 349
(B) 349
(C) 342
(D) 346
(E) 344
answer:

[Assistant]
Stream of consciousness: 400*(90/100)*(95/100) = 342 The answer is (C).
--


[User]
A train 260 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) 32 sec
(D) 49 sec
(E) 60 sec Hmmm, my stream of consciousness:

[Assistant]
Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 260 + 140 = 400 m
Required time = 400 * 2/25 = 32 se So, the answer is (C).


[User]
Give stream of consciousness and then the final answer. 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

[Assistant]
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
The final answer: (C).


[User]
question: A can do a piece of work in 24 days. B in 15 days and C in 12 days. In how many days can A finish the work if he is assisted by B on one day and C on the next, alternately?
Options:
(A) 8 2/5days
(B) 10 2/5days
(C) 6 2/5days
(D) 18 2/5days
(E) 17 2/5days
answer: Stream of consciousness: A + B = 1/24 + 1/15 = 13/120
A + C = 1/24 + 1/12 = 1/8
13/120 + 1/8 = 28/120
4 1/5 days * 2 = 8 2/5days The answer is (A).

q: A train 560 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Options:
(A) 126 kmph
(B) 77 kmph
(C) 54 kmph
(D) 71 kmph
(E) 88 kmph
a: Stream of consciousness: S = 560/16 * 18/5 = 126 kmph The answer is (A).

question: A can do a job in 18 days and B can do it in 24 days. A and B working together will finish twice the amount of work in days?
Options:
(A) 22 1/6
(B) 22 1/2
(C) 20 4/7
(D) 22 1/9
(E) 22 1/1
answer: Stream of consciousness: 1/18 + 1/24 = 7/72
72/7 = 72/7 *2 = 20 4/7 days The answer is (C).

q: A rat is placed at the beginning of a maze and must make it to the end. There are four paths at the start that he has an equal chance of taking: path A takes 5 minutes and leads to the end, path B takes 8 minutes and leads to the start, path C takes 3 minutes and leads to the end, and path D takes 2 minutes and leads to the start.
What is the expected amount of time it will take for the rat to finish the maze?
Options:
(A) 5min
(B) 6min
(C) 7min
(D) 8min
(E) 9min
a: Stream of consciousness: Each path has an equal chance of occurring and if B or D are chosen they will just add 8 or 2 minutes to the time because the rat must restart the maze: time = (1/4)*5 + (1/4)*(8 + time) + (1/4)*(3) + (1/4)*(2 + time). Time = 9 minutes. The answer is (E).

question: The average age of a family of 6 members is 34 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) 27
answer: Stream of consciousness: Present age of total members = 6 X 34 = 204
7 yrs back their ages were = 6 x 7 = 42
Ages at the birth of youngest member = 204 - 42 = 162
Therefore, avg age at the birth of youngest member = 162/6 = 27. The answer is (E).

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
answer:

[Assistant]
Stream of consciousness: D = 140 + 150 = 290
S = 36 * 5/18 = 10 mps
T = 290/10 = 29 sec The answer is (B).


[User]
question:In a school of 850 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Options:
(A) 173
(B) 163
(C) 153
(D) 143
(E) 133
answer:(C)
Stream of consciousness:44 + 28 + 10 = 82%
100 – 82 = 18%
850 * 18/100 = 153

question:Find the largest 4 digit number which isexactly divisible by 88?
Options:
(A) 4567
(B) 3588
(C) 9944
(D) 5465
(E) 6784
answer:(C)
Stream of consciousness: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

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
answer:

[Assistant]
(C)
Stream of consciousness:4 points are possible in which 1 point is the incentre of the circle and other 3 are excentres


[User]
Question: If rupee one produces rupees nine over a period of 54 years, find the rate of simple interest?
Options:
(A) 22 1/7 %
(B) 22 3/2 %
(C) 22 1/8 %
(D) 22 1/2 %
(E) 16 2/3 % Random thoughts:

[Assistant]
9 = (1*54*R)/100
R = 16 2/3 % The final answer: (E).


[User]
q: Which of the following is equal to the average (arithmetic mean) of (x+1)^2 and (x-1)^2?
Options:
(A) x^2
(B) x^2+1
(C) x^2 +4
(D) x^2+2x
(E) x^2+4x
a: Stream of consciousness: Avg = [(x+1)^2 + (x-1)^2] / 2
Expanding and simplifying, (x^2 + 2x + 1 + x^2 -2x + 1 ) / 2 = x^2 + 1 The answer is (B).

question: The measure of the side of a square is multiplied by 7. If x represents the perimeter of the original square, what is the value of the new perimeter?
Options:
(A) 3x
(B) 4x
(C) 7x
(D) 12x
(E) 27x
answer: Stream of consciousness: Original perimeter = x
Hence original side = x/4
New side = 7x/4
New perimeter = 4*7x/4 = 7x The answer is (C).

q: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winning candidate gotin that election?
Options:
(A) 40%
(B) 55%
(C) 57%
(D) 60%
(E) 62%
a: Stream of consciousness: Total number of votes polled = (1136 + 7636 + 11628) = 20400
So, Required percentage = 11628/20400 * 100 = 57% The answer is (C).

question: A man took loan from a bank at the rate of 13% p.a. S.I. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was?
Options:
(A) Rs. 1846
(B) Rs. 18846
(C) Rs. 13846
(D) Rs. 2000
(E) Rs. 14846
answer: Stream of consciousness: Principal = (100 * 5400) / (13 * 3) = Rs. 13846 The answer is (C).

q: What is the local value of 7 in the difference of 100889 and local value of 3 in 28943712?
Options:
(A) 7000
(B) 700
(C) 70000
(D) 70
(E) 7
a: Stream of consciousness: 100889 - (Local value of 3) = 100889 - 3000 = 97889
Local value of 7 in 97889 = 7000 The answer is (A).

q: 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
a:

[Assistant]
Stream of consciousness: 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 The answer is (C).


[User]
q: In wardrobe Marry 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 hiswardrobe in the dark and pick out one shirt trouser 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) 3/5
(D) 3/7
(E) 4/9
a: Stream of consciousness: 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 is (A).
--
q: A man rows his boat 65 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Options:
(A) 5 kmph
(B) 4 kmph
(C) 9 kmph
(D) 8 kmph
(E) 1 kmph
a: Stream of consciousness: Speed downstream = d/t = 65/(2 1/2) = 26 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph
The speed of the stream = (26 - 18)/2 = 4 kmph The answer is (B).
--
q: Dacid obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Options:
(A) 32
(B) 88
(C) 77
(D) 99
(E) 75
a:

[Assistant]
Stream of consciousness: Average = (76 + 65 + 82 + 67 + 85)/5 = 375/5 = 75. The answer is (E).
--


[User]
Two trains are traveling on parallel tracks in the same direction. The faster train travels at 110 miles per hour, while the slower train travels at 100 miles per hour. At 1 o’clock the faster train is 40 miles behind the slower one. How far apart are the two trains at 7 o'clock?
Options:
(A) 20 miles
(B) 80 miles
(C) 90 miles
(D) 120 miles
(E) 400 miles

Answer = A. 20 miles
Relational speed = 110 - 100 = 10 miles per hour
In 6 hours, difference = 10 * 6 = 60 miles
Fast train trailing 40 miles, so effective difference = 60 - 40 = 20 miles So the answer is: (A).

If P(A) = 2/15, P(B) = 4/15, and P(A âˆª B) = 12/15 Find P(B|A)
Options:
(A) 1/2
(B) 2/3
(C) 3/2
(D) 4/5
(E) 6

P(B|A) = P(A âˆª B)/P(A)
P(B|A) = (12/15)/(2/15) = 6. So the answer is: (E).

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

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%. So the answer is: (B).

Twenty five percent of Country Y's yearly exports come from fruit exports. One-fifth of all fruit exports from Country Y are orange exports. If country Y generates $10 million from its orange exports, how much money does it generate from its yearly total of exports?
Options:
(A) $2125m
(B) $25m
(C) $200m
(D) $300m
(E) $153m

[Assistant]
25/100*1/5*(total) = 10
1/20*(total) = 10
(total) = 10*20 = 200 So the answer is: (C).


[User]
Scott's average (arithmetic mean) golf score on his first four rounds was 58.What score does he need on his fifth round to drop his average score by 2 points?
Options:
(A) 48
(B) 72
(C) 78
(D) 88
(E) 312

Average score for first 4 rounds = 58
Average score after 5 rounds = 56
Score Scott needs on his 5th round to drop average score by 2 points = 58 - (2*5) = 48 So the answer is: (A).

If there are 4 seats and two students, in how many ways can they be seated?
Options:
(A) 12
(B) 6
(C) 8
(D) 16
(E) 10

No. of ways of choosing 2 chairs out of 4 chairs on which two students will sit = 4C2 = 6
No. of ways of 2 people sitting on selected chairs = 2!
Total ways of making 2 people sit on 2 of 4 chairs = 4C2*2! = 6*2 = 12 So the answer is: (A).

What is the are of an equilateral triangle of side 4 cm?
Options:
(A) 64√5
(B) 4√3
(C) 64√4
(D) 64√3
(E) 64√2

Area of an equilateral triangle = √3/4 S2
If S = 4, Area of triangle = √3/4 * 4 * 4 = 4√3 cm2; So the answer is: (B).

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) 37
(C) 32
(D) 39
(E) 28

[Assistant]
Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25 = 40 sec So the answer is: (A).


[User]
Some 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) 28
(C) 26
(D) 27
(E) 21
Some stream of consciousness:

[Assistant]
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).


[User]
Question: An analyst will recommend a combination of 4 industrial stocks, 3 transportation stocks, and 4 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 5 utility stocks, how many different combinations of 11 stocks are possible?
Options:
(A) 12
(B) 19
(C) 60
(D) 100
(E) 720
Answer: 5C4 * 4C3 * 5C4 = 5*4*5 = 100.
The answer is (D).

Question: How much is 90% of 40 is greater than 4/5 of 25?
Options:
(A) 29
(B) 776
(C) 66
(D) 16
(E) 99
Answer: (90/100) * 40 – (4/5) * 25
36 - 20 = 16
The answer is (D).

Question: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?
Options:
(A) 28800
(B) 24800
(C) 24400
(D) 20000
(E) None
Answer: Simple interest = (18000 * 4 * 15)/100 = Rs. 10800
Amount = P + I = 18000 + 10800 = Rs. 28800
The answer is (A).

Question: If the ratio of ages of two friends is 4:3 and sum of their ages is 70 years then what is the age of older friend?
Options:
(A) 30 years
(B) 35 years
(C) 40 years
(D) 25 years
(E) 45 years
Answer:

[Assistant]
Sum of thier ages is 70 in ratio 4:3
So 40+30 gives us 70. Wich is 4:3 so, older guy is having 40.
The answer is (C).


[User]
Question: In 2005, 30 percent of the math department’s 40 students were female, and in 2007, 40 percent of the math department’s 65 students were female. What was the percent increase from 2005 to 2007 in the number of female students in the department?
Options:
(A) 15%
(B) 116%
(C) 136%
(D) 155%
(E) 160% Let's think first. Some random reasoning:

[Assistant]
Female students in 2005 = 30% of 40 = 12
Female students in 2007 = 40% of 65 = 26
Percentage increase = [(26 - 12)/12] *100 % = 116% The final answer: (B).


[User]
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 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 Random thoughts:

[Assistant] 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 final answer: (A).


[User]
The length Q 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% Stream of consciousness:

[Assistant]
Let the length Q 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
Thus, the answer is (D).


[User]
question: In a school of 700 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Options:
(A) 173
(B) 126
(C) 153
(D) 143
(E) 133
answer: Stream of consciousness: 44 + 28 + 10 = 82%
100 – 82 = 18%
700 * 18/100 = 126 The answer is (B).

q: Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days?
Options:
(A) 1/9
(B) 1/7
(C) 1/6
(D) 1/2
(E) 1/1
a: Stream of consciousness: A's one day's work = 1/30
B's one day's work = 1/45
(A + B)'s one day's work = 1/30 + 1/45 = 1/18
The part of the work completed in 3 days = 3 (1/18) = 1/6. The answer is (C).

question: The average of eight results is 37 and that of the first seven is 40. The eighth result is?
Options:
(A) 25
(B) 30
(C) 12
(D) 37
(E) 16
answer: Stream of consciousness: 8 * 37 â€“ 7 * 40 = 16 The answer is (E).

q: Rs. 1300 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/8:1/3:1/4?
Options:
(A) Rs.224
(B) Rs.216
(C) Rs.100
(D) Rs.300
(E) Rs.400
a: Stream of consciousness: 1/8:1/3:1/4 = 4:8:6
3/18*1300 = 216 The answer is (B).

question: What is the greatest positive integer x such that 5^x is a factor of 125^10?
Options:
(A) 5
(B) 9
(C) 10
(D) 20
(E) 30
answer: Stream of consciousness: 125^10 = (5^3)^10 = 5^30 The answer is (E).

question: Find the invalid no.from the following series 13, 18, 25, 30, 37, 40
Options:
(A) 23
(B) 26
(C) 40
(D) 42
(E) 49
answer:

[Assistant] Stream of consciousness: The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5. So, 40 is wrong. The answer is (C).


[User]
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) 124345
(B) 234545
(C) 165767
(D) 144656
(E) 220030 Think first, then make a decision. Some random thoughts:

[Assistant] (555 + 445) * 2 * 110 + 30 = 220000 + 30 = 220030 So the answer is (E).


[User]
Question: If 10 litres of an oil of Rs.54 per litres be mixed with 5 litres of another oil of Rs.66 per litre then what is the rate of mixed oil per litre?
Options:
(A) Rs.49.17
(B) Rs.58
(C) Rs.54.17
(D) Rs.55.33
(E) None of the above Random thoughts:

[Assistant]
54*10 = 540
66*5 = 330
870/15 = 58 The final answer: (B).


[User]
Use some thinking to answer the following question. A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 11
(B) 16
(C) 18
(D) 10
(E) 14

[Assistant]
Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 280 * 2/35 = 16 sec So the final answer is (B).


[User]
Question: A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?
Options:
(A) 65 days
(B) 85 days
(C) 15 days
(D) 45 days
(E) 13 days
Ans: (C)
CoT: B's 1 day work = (1/12 - 1/20) = 1/30
Now, (A + B)'s 1 day work = (1/20 + 1/60) = 1/15
So, A and B together will complete the work in 15 days.
----
Question: The speed of a boat in still water is 90kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Options:
(A) 40, 68 kmph
(B) 110, 70 kmph
(C) 90, 60 kmph
(D) 40, 60 kmph
(E) 20, 60 kmph
Ans: (B)
CoT: Speed downstream = 90 + 20 = 110 kmph
Speed upstream = 90 - 20 = 70 kmph
----
Question: John's grade was 80th percentile of the 100 grades for his class. Of the 60 grades from another class, 20 were higher than John's, and the rest were lower. If no other grade was the same as John's grade, then John's grade was what percentile of the grades of the two classes of two classes combined?
Options:
(A) 72nd
(B) 75th
(C) 83rd
(D) 85th
(E) 94th
Ans: (B)

[Assistant]
CoT: 72nd/75th/83rd/85th/94th
----


[User]
Consider the question. A board 7ft. 9 inches long is divided into 3 equal parts . What is the length of each part?
Options:
(A) 31 inches
(B) 32 inches
(C) 33 inches
(D) 34 inches
(E) 35 inches
 What is the step-by-step reasoning process to arrive at the answer: (A)?

[Assistant] 7 ft 9 in is 84 + 9 = 93 inches. so 93/3 = 31 inches or 2 ft. 7 inch.


[User]
Reasoning: 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: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is -
Options:
(A) 1/5
(B) 1/3
(C) 1/4
(D) 118/2
(E) 21/4

Rationale: Sum of thier ages is 70 in ratio 4:3
So 40+30 gives us 70. Wich is 4:3 so, older guy is having 40.
The answer: (C)
Question: If the ratio of ages of two friends is 4:3 and sum of their ages is 70 years then what is the age of older friend?
Options:
(A) 30 years
(B) 35 years
(C) 40 years
(D) 25 years
(E) 45 years

Reasoning: I = (500*9*6)/100 = 270
Ans: (B)
Question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
Options:
(A) 288
(B) 270
(C) 287
(D) 209
(E) 271

Rationale: Money paid in cash = Rs. 1000
Balance payment = (10000 - 1000) = Rs. 9000
The answer: (A)
Question: The price of a T.V. set worth Rs. 10000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
Options:
(A) 9000
(B) 26699
(C) 96000
(D) 19000
(E) 26711

Reasoning: Area of an equilateral triangle = âˆš3/4 S2
If S = 24, Area of triangle = âˆš3/4 * 24 * 24 = 144âˆš3 cm2;
Ans: (E)
Question: What is the are of an equilateral triangle of side 24 cm?
Options:
(A) 66âˆš3 cm2
(B) 74âˆš3 cm2
(C) 64âˆš3 cm2
(D) 64âˆš5 cm2
(E) 144âˆš3 cm2

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

[Assistant]
Question: Efrida and Frazer who live 12 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 two 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]
Stream of consciousness rationale: If x = 2 then f(x) = 16/31 and f(1/x) = -16/31 which is equal to -f(x)
The question and answer pair are described below.

[Assistant]
Q: If f(x) = x^4/(x^5 - 1), what is f(1/x) in terms of f(x)?
Options:
(A) f(x)
(B) 2*f(x)
(C) 1/f(x)
(D) -f(x)
(E) 2/f(x)
A: (D)


[User]
Rationale: 2nd day he earns = 2 = 2(2 – 1)
3rd day he earns = 2(3 – 1)
On 20th day he earns 2(20 -1) = 219 rupees
The answer: (A)
Question: An enterprising businessman earns an income of Re 1 on the first day of his business. On every subsequent day, he earns an income which is just double of that made on the previous day. On the 20th day of business, he earns an income of:
Options:
(A) Rs 219
(B) Rs 220
(C) Rs 20²
(D) Rs 20
(E) Rs 30

Reasoning: Since the radius is squared, the biggest volume cylinder will have the biggest possible radius. To achieve that, let the smaller dimension of the rectangular box be the height. So, it will have 12x10 width x length. The biggest cylinder must fit both dimensions, so it must have at most a diameter of 10, so the radius will be 5.
Ans: (C)
Question: 189. The inside dimensions of a rectangular wooden box
are 8 inches by 10 inches by 12 inches. A cylindrical
canister is to be placed inside the box so that it stands
upright when the closed box rests on one of its six
faces. Of all such canisters that could be used, what is
the radius, in inches, of the one that has maximum
volume?
Options:
(A)  3
(B)  4
(C)  5
(D)  6
(E)  8

Rationale: P(at least one gold ball) = 1 - P(no golf ball, so 2 ping pong balls) = 1- 2/5*1/4 = 9/10.
The answer: (D)
Question: In a jar there are 3 golf balls and 2 ping pong balls. What is the probability of drawing at least one golf ball when drawing two consecutive balls randomly?
Options:
(A) 1/4
(B) 1/2
(C) 3/5
(D) 9/10
(E) 16/20

Reasoning: Other number = (12 x 600)/720 = 10.
Ans: (C)
Question: The H.C.F. of two numbers is 12 and their L.C.M. is 600. If one of the numbers is 720, then the other is:
Options:
(A) 8
(B) 10
(C) 12
(D) 4
(E) 6

Rationale: Total number of outcomes possible when a die is rolled, n(S) = 6 (∵ 1 or 2 or 3 or 4 or 5 or 6)
E = Event that the number shown in the dice is divisible by 3 = {3, 6}
The probability = 2/6 = 1/3.
The answer: (D)
Question: A dice is thrown. What is the probability that the number shown in the dice is divisible by 3?
Options:
(A) 5/5
(B) 5/9
(C) 5/1
(D) 1/3
(E) 5/2

Rationale: (60/100) * 50 – (40/100) * 30
30 - 12 = 18
The answer: (A)

[Assistant]
Question: How much 60% of 50 is greater than 40% of 30?
Options:
(A) 18
(B) 28
(C) 29
(D) 11
(E) 12


[User]
Rationale: As per the question, let a = 2, b = 6, c = 5, and d = 10. Plugging these into the answer choices, only A does not yield an integer.
The answer: (A)
Question: a, b, c, and d are positive integers where a is a factor of b and c is a factor of d. Which of the following is NOT necessarily an integer?
Options:
(A) (ac) /(bd)
(B) (bd) /(ac)
(C) (bcd) /a
(D) d/c + b/a
(E) (a + b) d/c

Reasoning: My ans is 16C3 = 560
Ans: (D)
Question: Sixteen telegenic contestants with a variety of personality disorders are to be divided into two “tribes” of three members each, tribe A and tribe B, for a competition. How many distinct groupings of two tribes are possible?
Options:
(A) 120
(B) 126
(C) 252
(D) 560
(E) 1260

Rationale: Clearly, 97 is a prime number.
The answer: (C)
Question: Which of the following is a prime number ?
Options:
(A) 27
(B) 45
(C) 97
(D) 98
(E) 100

Reasoning: In this addition series, 1 is added to the first number; 2 is added to the second number; 3 is added to the third number; 4 is added to the fourth number; and go on.
Ans: (A)
Question: Look at this series: 201, 202, 204, 207, ... What number should come next?
Options:
(A) 211
(B) 205
(C) 224
(D) 267
(E) 269

Rationale: These 5 tasks can be arranged in 5! = 120 ways. In half of them invites are sentafterthe guest list is decided and in half of them before. So, there are total of 120/2 = 60 ways to arrange the task so that the invites are sent after the guest list is decided.
The answer: (C)
Question: Joey is planning to throw a small party and for that he needs to do the following tasks:
I. Decide guest list
II. Send invites
III. Arrange catering
IV. Decide the venue
V. Rent a music system
The tasks can be done in any order as long as the invites are sent after the guest list is decided. In how many ways can Joey do the five tasks listed above?
Options:
(A) 24
(B) 48
(C) 60
(D) 120
(E) 240

Rationale: Original price = 1120 × 100⁄70 × 100⁄80 = 2000
The answer: (D)

[Assistant]
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


[User]
Ques: A boy needs to deliver three different newspaper to three different house. The problem is that he doesn't know which newspaper belong to which house. Find the probability that the boy only got one house with the wrong newspaper.
Options:
(A) 0
(B) 1/3
(C) 2/3
(D) 4/27
(E) 1/27
Ans: (A)
CoT: This one is a trick question. There are three house and three different newspapers. If he only got one wrong delivery, it means that he got the other two house correct. This is not possible because there are only three newspaper. If there are two correct delivery made the remaining one must also be correct. So the possibility of getting o my one of the delivery made wrong is impossible ore 0

Ques: John left home and drove at the rate of 55 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination. How many miles did John drive?
Options:
(A) 235 miles.
(B) 245 miles.
(C) 255 miles.
(D) 265 miles.
(E) 275 miles.
Ans: (E)
CoT: The total distance D traveled by John is given by
D = 55 * 2 + 3 * 55 = 275 miles.

Ques: 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
Ans: (E)
CoT: 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.

Ques: 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
Ans: (E)

[Assistant]
CoT: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62


[User]
[Ans] (D)
[Question] It is the New Year and Mandy has made a resolution to lose weight this year. She plans to exercise and do yoga. For exercise she plans to workout at the gym and ride her bicycle in the ratio of 2:3 everyday. She will also do yoga in the ratio, yoga:exercise = 2:3. If she rides her bike for 14 minutes, how much time will she spend doing yoga? (rounded to minutes)
Options:
(A) 10 min.
(B) 41 min.
(C) 17 min.
(D) 23 min.
(E) 25 min.
[CoT] The ratio is 2:3 = gym:ride, so (14)(3/2) = 21 minutes at the gym, and 21 + 14 = 35 minutes exercise, so (2/3)(35) = 23 minutes yoga.

[Ans] (B)
[Question] Anitha had 80 currency notes in all, some of which are of Rs 95 denomination and the remaining of Rs 45 denomination. The total amount of all these currency notes was Rs. 4000. How much amount (in Rs) did she have in the denomination of Rs 45?
Options:
(A) 3500
(B) 72
(C) 2000
(D) 3000
(E) 4000
[CoT] Let the number of 45-rupee notes = x
Then, the number of 95-rupee notes = (80 – x)
45x + 95(80 – x) = 4000 or x + 2(80 – x) = 95 or x = 72.

[Ans] (A)
[Question]

[Assistant]
A man sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss?
Options:
(A) 9 % loss
(B) 10% gain
(C) 450
(D) 12% loss
(E) 12% gain
[CoT] (30*30)/100 = 9%loss


[User]
Rationale: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 140 * 2/35 = 8 se
The answer: (C)
Question: A train 140 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 18 sec
(B) 6 sec
(C) 8 sec
(D) 15 sec
(E) 7 sec

Reasoning: 1/2 * 20(9 + 6) = 150 cm2
Ans: (B)
Question: Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
Options:
(A) 128
(B) 150
(C) 887
(D) 279
(E) 771

Rationale: A = 7500(26/25)2 = 8112
The answer: (D)
Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
Options:
(A) 1227
(B) 2088
(C) 26788
(D) 8112
(E) 1871

Reasoning: Largest no is 987652413
So digit will be 4
Ans: (D)
Question: Find the 100th place digit of a number forming from digits 1 to 9 without repeatation and number passes the divisibility test of 11 means difference of sum of alternative digits is 0 or divisible by 11.
Options:
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

Rationale: The term (998-998) makes the whole expression = 0.
The answer: (E)
Question: (998-1)(998-2)(998-3)........(998-n)=....... when n>1000
Options:
(A) 4
(B) 3
(C) 2
(D) 1
(E) 0

Rationale: (555 + 445) * 2 * 110 + 70 = 220000 + 70 = 220070
The answer: (E)

[Assistant]
Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 70 as remainder. Find the no. is?
Options:
(A) 145646
(B) 236578
(C) 645353
(D) 456546
(E) 220070


[User]
Reasoning: Total distance = 8 Km
Total time = 50 Km
Time taken to cover the distance 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: Jerry 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) 29 Kmph
(B) 15 Kmph
(C) 23 Kmph
(D) 22 Kmph
(E) 19 Kmph

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) 6 min
(C) 8 min
(D) 2 min
(E) 9 min

Reasoning: 13225 = 5*5*23*23
Required smallest number = 1
1 is the smallest number which should be multiplied with 13225 to make it a perfect square.
Ans: (C)
Question: Find the smallest number which should be multiplied with 13225 to make it a perfect square.
Options:
(A) 25
(B) 5
(C) 1
(D) 23
(E) 6

Rationale: 11 players are to be chosen from 15 players. This can be done in 15C11 ways. ie) 15!/11!x4! = 1365 ways. Ans:
The answer: (B)
Question: From group of 15 cricket players a team of 11 players is to be chosen. How many ways this can be done?
Options:
(A) 3252
(B) 1365
(C) 5325
(D) 1432
(E) 1324

Reasoning: Integer is divisible by 3 - Sum of digits is divisible by 3
Ans: (D)
Question: The number N is 5,2H4, where H represents the ten's digit. If N is divisible by 3, what is the value of H?
Options:
(A) 2
(B) 3
(C) 5
(D) 4
(E) 9

Reasoning: Given Speed = k/n
To Find distance in x hours with same speed
Distance = speed * time
Distance = k/n*x = kx/n
Ans: (D)

[Assistant]
Question: A bus travels k miles in n hours. How many miles will it travel in x hours at the same rate?
Options:
(A) knx
(B) k⁄n
(C) x
(D) kx⁄n
(E) kn⁄x


[User]
Reasoning: 200/60 * 18/5 = 12 km/hr
Ans: (A)
Question: A boy runs 200 metres in 60 seconds. What is his speed ?
Options:
(A) 12 km/hr
(B) 24 km/hr
(C) 13 km/hr
(D) 14 km/hr
(E) 16 km/hr

Rationale: Rate of flow of water in second hour = 24 gallons per hour
Rate of flow of water in first hour = 24/(3/2) = 16 gallons per hour
Rate of flow of water in third hour = (125/100)* 24 = (5/4) * 24 = 30 gallons per hour
Number of gallons of water that flowed through the pipe during the entire 3 hours = 16+24+30 = 70 gallons
The answer: (D)
Question: The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 24 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) 61.25
(B) 62.5
(C) 63.75
(D) 70.0
(E) 77.5

Reasoning: Female students in 2005 = 25% of 40 = 10
Female students in 2007 = 40% of 85 = 34
Percentage increase = [(34- 10)/10] *100 % = 240%
Ans: (E)
Question: In 2005, 25 percent of the math department’s 40 students were female, and in 2007, 40 percent of the math department’s 85 students were female. What was the percent increase from 2005 to 2007 in the number of female students in the department?
Options:
(A) 15%
(B) 50%
(C) 62.5%
(D) 115%
(E) 240%

Rationale: 1/3: 1/6: 1/1 = 2:1:6
The answer: (C)
Question: The inverse ratio of 3: 6: 1 is?
Options:
(A) 2:3:7
(B) 2:3:9
(C) 2:1:6
(D) 2:3:6
(E) 2:3:1

Reasoning: 30/100*1/6*(total) = 50
1/20*(total) = 50
(total) = 50*20 = 1000
Ans: (A)
Question: Thirty percent of Country Y's yearly exports come from fruit exports. One-sixth of all fruit exports from Country Y are orange exports. If country Y generates $50 million from its orange exports, how much money does it generate from its yearly total of exports?
Options:
(A) $1000m
(B) $25.5m
(C) $106.25m
(D) $127.5m
(E) $153m

Reasoning: 2/8 * 1/7 = 2/56
1-(2/56) = 54/56 = 27/28
Ans: (E)

[Assistant]
Question: A shipment of 8 TV sets contains 6 black and white sets and 2 color sets. If 2 TV sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black and white set?
Options:
(A) 1/7
(B) 1/4
(C) 5/14
(D) 11/28
(E) 27/28


[User]
Explain simply why (A) is the correct answer to: An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 3 transportation stocks, and 4 utility stocks, how many different combinations of 7 stocks are possible?
--
Options:
(A) 180
(B) 19
(C) 60
(D) 12
(E) 720. Explanation:

[Assistant] 5C3 * 4C2 * 3C2 = 10*6*3 = 180.


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

[Assistant]
Question: In the expression 51840/x^4, for which of the following values of x will the expression NOT be an integer?
Options:
(A) 1/2
(B) 1
(C) 2
(D) 3
(E) 5
Stream-of-consciousness: We can straightaway eliminate A & B, since the expression will always yields an integer for those values
Out of C, D, and E. Let us consider option E. 51840 has only one trailing zero and tens digit is not 5, so It has just one 5 in it. But for the expression to be an integer numerator should have 5^4.


[User]
1/15 + 1/30 - 1/40 = 9/120
120/9 = 13 3/7
This justifies what answer for what question? Q & A:

[Assistant]
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
(D)


[User] Reconstruct a question, answer pair from this explanation: 5 * 46 – 4 * 45 = 50

[Assistant]
Q:The average of five results is 46 and that of the first four is 45. The fifth result is?
Options:
(A) 29
(B) 27
(C) 29
(D) 50
(E) 81
A:(D)


[User]
Question. A train running at the speed of 60 km/hr crosses a pole in 6 seconds. Find the length of the train.
Options:
(A) 150 m
(B) 145 m
(C) 100 m
(D) 135 m
(E) 155 m
Answer. (C)
What step-by-step reasoning justifies that answer?

[Assistant]
Reasoning: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 6 = 100 meter


[User]
Q: 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
A: (B)
Explain how we arrive at this answer:

[Assistant]
Explanation: 1 to 11 = 11 * 49 = 539
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 â€“ 539 = 67


[User] Reconstruct a question, answer pair from this explanation: (2*40+3*80)/5 = 64mph

[Assistant]
Q: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
A:(D)


[User]
Rationale: Cost price of article = 48$
% of overhead cost = 10
Net profit = 12 $
We need to calculate % markup
Net profit as % of cost price = (12/48)*100 = 25%
Total markup should be = 25 + 10 = 35%
The answer: (C)
Question: The purchase price of an article is $48. In order to include 10% of cost for overhead and to provide $12 of net profit, the markup should be
Options:
(A) 15%
(B) 25%
(C) 35%
(D) 40%
(E) 45%

Reasoning: Total number of votes polled = (1136 + 7636 + 11628) = 20400
So, Required percentage = 11628/20400 * 100 = 57%
Ans: (C)
Question: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Options:
(A) 45%
(B) 54%
(C) 57%
(D) 60%
(E) 65%

Rationale: S = 600/30 = 20 mps
S = 3600/20 = 180 sec = 4 min
The answer: (D)
Question: A 600 meter long train crosses a signal post in 30 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) 3 min
(E) 5 min

Reasoning: 1/6 â€“ 1/15 = 1/10
B can do the work in 10 days
Ans: (D)
Question: A and B together can do a work in 6 days. If A alone can do it in 15 days. In how many days can B alone do it?
Options:
(A) 7
(B) 13
(C) 19
(D) 10
(E) None

Rationale: Since Rohit does not want to sit on the middle seat or at either end (3 chairs), then he can choose 1 chairs to sit. The remaining 3 people can sit in 3! ways. Thus the # of arrangements is 1*3! = 6.
The answer: (B)
Question: In how many ways can you seat 4 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?
Options:
(A) 720
(B) 6
(C) 2880
(D) 5040
(E) 10080

Rationale: Peda is eaten the day following the day of eating Jilabi, So Peda can never be had on the starting day, which is Monday.
The answer: (B)

[Assistant]
Question: There are 5 sweets – Jumun, Kulfi, Peda, Laddu and Jilabi that I wish to eat on 5 consecutive days – Monday through Friday, one sweet a day, based on the following self imposed constraints:
1) Laddu is not eaten on Monday
2) If Jamun is eaten on Monday, then Laddu must be eaten on Friday
3) If Laddu is eaten on Tuesday, Kulfi should be eaten on Monday
4) Peda is eaten the day following the day of eating Jilabi
Based on the above, peda can be eaten on any day except?
Options:
(A) Tuesday
(B) Monday
(C) Wednesday
(D) Friday
(E) Sunday


[User]
Ques: 123 : 36 : : 221 : ?
Options:
(A) 52
(B) 69
(C) 72
(D) 25
(E) 32
Ans: (D)
CoT: (1+2+3)^2 = 36
(2+2+1)^2 = 25

Ques: a student got 70% in one subject,80% in other.to get overall 75% how much he should get in third subject.
Options:
(A) 65%
(B) 75%
(C) 85%
(D) 95%
(E) 88%
Ans: (B)
CoT: Already average of two subjects is (70+80)/2 = 75%
To maintain the percentage at 75%, he shouls get 75% marks in third subject

Ques: Four of the five parts numbered (a),(b),(c),(d) and (e) in the following equation are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.
Options:
(A) (a – b) 2 + 4ab
(B) a(a + b)  + b(a + b)
(C) (a2 – b2)  + 2b(b + a)
(D) (a – b) b + (a + b) 2b
(E) (a + b) 2 – 2a(a – b)  + a(2a – 2b)
Ans: (D)
CoT: The other parts are equal to (a + b)2.

Ques: Find the least number must be subtracted from 5474827 so that remaining no.is divisible by 12?
Options:
(A) 3
(B) 5
(C) 4
(D) 7
(E) 2
Ans: (D)

[Assistant] CoT: On dividing 5474827 by 12 we get the remainder 7, so 7 should be subtracted


[User]
Question. If the given two numbers are respectively 6% and 18% of a third number, then what percentage is the first of the second ?
Options:
(A) 20%
(B) 25%
(C) 18%
(D) 33 1/3%
(E) none of these
Answer. (D)
What step-by-step reasoning justifies that answer?

[Assistant]
Reasoning: Here, l = 6 and m = 18
Therefore, first number = l/m x 100% of second number = 6/18 x 100% of second number = 33 1/3% of second number


[User]
Rationale: Speed upstream = 49/7 = 7 kmph
Speed down stream = 77/7 = 11kmph
Speed of stream = ½ (11-7) = 2 kmph
The answer: (C)
Question: If soundharya rows 49 km upstream and 77 km down steam taking 7 hours each, then the speed of the stream
Options:
(A) 6 kmph
(B) 5 kmph
(C) 2 kmph
(D) 3 kmph
(E) 4 kmph

Reasoning: I think answer on this one should be D too. Since we know that 14^7>17^4, as Will said one should always check if the number is positive.
Ans: (D)
Question: What is the units digit of the expression 14^7−17^4?
Options:
(A)  0
(B)  3
(C)  4
(D)  8
(E)  6

Rationale: S = 600/50 = 12 mps
S = 3600/12 = 300 sec = 5 min
The answer: (E)
Question: A 600 meter long train crosses a signal post in 50 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

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) 1/45
(B) 1/42
(C) 1/46
(D) 1/48
(E) 1/43

Rationale: Area of an equilateral triangle = âˆš3/4 S2
If S = 18, Area of triangle = âˆš3/4 * 18 * 18 = 81âˆš3 cm2;
The answer: (C)
Question: What is the are of an equilateral triangle of side 18 cm?
Options:
(A) 66âˆš3 cm2
(B) 74âˆš3 cm2
(C) 81âˆš3 cm2
(D) 64âˆš5 cm2
(E) 14âˆš3 cm2

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)

[Assistant]
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


[User]
Reasoning: Peda is eaten the day following the day of eating Jilabi, So Peda can never be had on the starting day, which is Monday.
Ans: (B)
Question: There are 5 sweets – Jumun, Kulfi, Peda, Laddu and Jilabi that I wish to eat on 5 consecutive days – Monday through Friday, one sweet a day, based on the following self imposed constraints:
1) Laddu is not eaten on Monday
2) If Jamun is eaten on Monday, then Laddu must be eaten on Friday
3) If Laddu is eaten on Tuesday, Kulfi should be eaten on Monday
4) Peda is eaten the day following the day of eating Jilabi
Based on the above, peda can be eaten on any day except?
Options:
(A) Tuesday
(B) Monday
(C) Wednesday
(D) Friday
(E) Sunday

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

Reasoning: P = P(A wins, B wins, C loses) + P(A wins, B loses, C wins) + P(A loses, B wins, C wins) = 2/5*3/8*5/7 + 2/5*5/8*2/7 + 3/5*3/8*2/7 = 77/280.
Ans: (E)
Question: Alice, Benjamin, and Carol each try independently to win a carnival game. If their individual probabilities for success are 2/5, 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) 1/280
(C) 3/280
(D) 4/56
(E) 77/280

Rationale: 1: 2/5 = 5: 2
2/7 * 28 = 8
The answer: (B)
Question: A 28 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Options:
(A) 12
(B) 8
(C) 88
(D) 77
(E) 14

Reasoning: To get Rs. 10, Investment is 96
To get Rs. 650, investment is (96/10)*650 = 6240
Ans: (B)
Question: In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of:
Options:
(A) Rs. 3100
(B) Rs. 6240
(C) Rs. 6500
(D) Rs. 9600
(E) Rs. 8600

Reasoning: All numbers except 54 is multiple of 5.
Ans: (C)

[Assistant]
Question: Which is odd one
10, 25, 45, 54, 60, 75, 80
Options:
(A) 10
(B) 45
(C) 54
(D) 60
(E) 75


[User]
Rationale: One day's work of A and B = 1/9 + 1/27 = (3+1)/27 = 4/27 So, the time taken to complete the work is 6 3/4 days.
The answer: (A)
Question: A can do a work in 9 days and B can do the same work in 27 days. If they work together, in how many days will they complete the work?
Options:
(A) 6 3/4 days
(B) 7 3/4 days
(C) 5 3/4 days
(D) 6 1/4 days
(E) 6 2/4 days

Rationale: {Total} = {M} + {N} - {Both}
{Total} = 23 + 28 - 12 = 39.
The answer: (A)
Question: There are 23 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?
Options:
(A) 39
(B) 40
(C) 51
(D) 58
(E) 63

Rationale: All are even natural numbers except 87.
The answer: (B)

[Assistant]
Question: Find the odd man out
444, 300, 200, 136, 87, 84, 80
Options:
(A) 80
(B) 87
(C) 136
(D) 200
(E) 444


[User]
Question: 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) 21
(B) 56
(C) 18
(D) 25
(E) 23
Ans: (B)
CoT: 1 to 11 = 11 * 50 = 550
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 – 550 = 56
----
Question: A train 90 m long running at 56 kmph crosses a platform in 18 sec. What is the length of the platform?
Options:
(A) 190
(B) 200
(C) 180
(D) 881
(E) 271
Ans: (A)
CoT: D = 56 * 5/18 = 25 = 280 – 90 = 190
----
Question: If P(32, 6) = kC (32, 6), then what is the value of k?
Options:
(A) 6
(B) 32
(C) 120
(D) 720
(E) None
Ans: (D)

[Assistant]
CoT: Since 32P6 = k32C6
⇒ 32/ ( 32-6 ) = k(32/ ( 32-6 )
⇒k = 6! = 720
----


[User]
Reasoning: 1 to 11 = 11 * 50 = 550
1 to 5 = 5 * 49 = 245
5 to 11 = 7 * 52 = 364
5th = 245 + 364 – 550 = 59
Ans: (E)
Question: The average of 11 results is 50, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?
Options:
(A) 55
(B) 56
(C) 57
(D) 58
(E) 59

Reasoning: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 310 + 140 = 450 m
Required time = 450 * 2/25 = 36 sec
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

Reasoning: Number of ways of choosing 4 stocks = 8C4
Number of ways of ranking the chosen stocks = 4!
Hence total ways of chosing and ranking = 8C4 * 4! = 1680
Ans: (B)
Question: An equity analyst needs to select 4 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 8, in how many ways can she choose and rank her top 4 picks?
Options:
(A) 1200
(B) 1680
(C) 2102
(D) 4020
(E) 1840

Reasoning: Option 'E'
The total number of arrangements is
3P3 = 3! = 6
Ans: (E)

[Assistant]
Question: In how many different ways can the letters of the word "AIM" be rearrangement?
Options:
(A) 4
(B) 2
(C) 7
(D) 9
(E) 6


[User]
Reasoning: 1: 2/5 = 5: 2
2/7 * 70 = 20
Ans: (B)
Question: A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Options:
(A) 10
(B) 20
(C) 30
(D) 40
(E) 50

Rationale: A number ending with 3 can never be a perfect square.
The answer: (B)
Question: How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 3 ?
Options:
(A) 4
(B) 0
(C) 3
(D) 2
(E) 1

Reasoning: The total of seven numbers = 7X26 = 182
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (182 - 99 ) = 83
Ans: (B)
Question: The average of seven numbers is 26. 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) 83
(C) 29
(D) 32
(E) 34

Rationale: Increase = (20/40)*100 = 50%.
The answer: (E)
Question: John makes $40 a week from his job. He earns a raise and now makes $60 a week. What is the % increase?
Options:
(A) 16%
(B) 16.66%
(C) 18%
(D) 21%
(E) 50%

Reasoning: Let the time be x years. Then (600 *3* x)/100 + (800*9*x)/(2*100) = 24
18x+ 36x = 246 ; x = 246/54 = 4 years
Required time = 4 years
Ans: (C)
Question: A person borrowed Rs.600 @ 3% per annum S.I and Rs.800 @ 4½ % per annum on the agreement that the whole sum will be returned only when the total interest becomes Rs.246. The number of years, after which the borrowed sum is to be returned, is
Options:
(A) 2 years
(B) 3years
(C) 4 years
(D) 5 years
(E) 6 years

Reasoning: On dividing 5474827 by 12 we get the remainder 7, so 7 should be subtracted
Ans: (D)

[Assistant]
Question: Find the least number must be subtracted from 5474827 so that remaining no.is divisible by 12?
Options:
(A) 3
(B) 5
(C) 4
(D) 7
(E) 2


[User]
Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 9 = 150 m
This justifies what answer for what question? Q & A:

[Assistant]
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) 118
(B) 150
(C) 277
(D) 258
(E) 191
(B)


[User]
Given the stream of consciousness rationale, provide a reasonable question and answer. Rationale: Answer = D. 65 miles
Relational speed = 130 - 100 = 30 miles per hour
In 3 hours, difference = 30 * 3 = 90 miles
Fast train trailing 25 miles, so effective difference = 90 - 25 = 65 miles
 The question and answer:

[Assistant]
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 25 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) 65 miles
(E) 400 miles
The answer is (D)


[User]
Reasoning: 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.
Ans: (C)
Question: Antony, Ben, and Charles 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) 7/40
(D) 3/35
(E) 5/40

Reasoning: 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
Ans: (A)
Question: In wardrobe Marry has 3trousers. One of them is grey the 2nd blue and the 3rd brown. In his wardrobe he also has 4shirts. One of them is grey and the other 3are white. He openshiswardrobe in the dark and pick out one shirt trouser 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) 3/5
(D) 4/7
(E) 4/9

Reasoning: 1/2 * 10 * 5 = 25 m2
Ans: (B)
Question: The area of a triangle is with base 10m and height 5m?
Options:
(A) 11
(B) 25
(C) 787
(D) 122
(E) 12

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]
Rationale: A's one day's work = 1/30
B's one day's work = 1/45
(A + B)'s one day's work = 1/30 + 1/45 = 1/18
The part of the work completed in 3 days = 3 (1/18) = 1/6.
The answer: (C)
Question: Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days?
Options:
(A) 1/8
(B) 1/3
(C) 1/6
(D) 1/2
(E) 5/3

Reasoning: A's one day's work = 1/20
B's one day's work = 1/40
(A + B)'s one day's work = 1/20 + 1/40 = 3/40
The part of the work completed in 5 days = 5 (3/40) = 3/8.
Ans: (D)
Question: Two persons A and B can complete a piece of work in 20 days and 40 days respectively. If they work together, what part of the work will be completed in 5 days?
Options:
(A) 1/8
(B) 1/3
(C) 3/6
(D) 3/8
(E) 5/3

Rationale: 1152 = 2*2*2*2*2*2*2*3*3
Required smallest number = 2
2 is the smallest number which should be multiplied with 1152 to make it a perfect square.
The answer: (A)
Question: Find the smallest number which should be multiplied with 1152 to make it a perfect square.
Options:
(A) 2
(B) 1
(C) 3
(D) 5
(E) 6

Reasoning: Answer = D = 8
If least = -4, then largest = 9
Range = 9 - 1 = 8
Ans: (D)
Question: List K consists of 14 consecutive integers. If -4 is the least integer in list K, what is the range of the positive integers in list K?
Options:
(A) 5
(B) 6
(C) 7
(D) 8
(E) 12

Rationale: Maximum points of intersection between n different circles = n*(n - 1) = 5*4 = 20
The answer: (A)
Question: There are different 5 circles. What is the number of the greatest possible points with which the circles intersect?
Options:
(A) 20
(B) 10
(C) 15
(D) 22
(E) 21

Rationale: S = (90 + 60)/2 = 75 kmph
The answer: (B)

[Assistant]
Question: 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


[User]
Question. In a bucket there are 3 blue balls and 2 red balls. What is the probability of drawing at least one blue ball when drawing two consecutive balls randomly?
Options:
(A) 9/10
(B) 16/20
(C) 2/5
(D) 3/5
(E) ½
Answer. (A)
What step-by-step reasoning justifies that answer?

[Assistant] Reasoning: P(at least one blue) = 1 - P(no blue, so 2 red) = 1- 2/5*1/4 = 9/10.