inputs stringlengths 66 34.7k | targets stringlengths 20 34.7k | _template_idx int64 0 17 | _task_source stringclasses 1
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[Ques]: By how much is 70% of 120 greater than 35% of 200.
Options:
(A) 15
(B) 14
(C) 13
(D) 16
(E) 17
*Ans*: (B)
--CoT--: (70/100) * 120 – (35/100) * 200
84 - 70 = 14
[Ques]: P and Q invested in a shop. The profits were divided in the ratio of 2 : 4 respectively. If P invested Rs. 500000, the amount invested by Q i... | --CoT--: No of people from 10 - 11 is x
No of people from 11 - 12 is 3x/4
No of people from 12 to 1 is (5/4)(3x/4)
Given that 3x/4 + (5/4)(3x/4) = 27x/16 = 135
Then x = 80 | 4 | CoT | stream_aqua_ii | fs_opt |
Reasoning: Other parts are equal to 300.
Ans: (E)
Question: Four of the following five parts (a), (b), (c), (d) and (e) are exactly equal. The number of the part which is not equal to the other four parts is your answer.
Options:
(A) 30 × 14 ÷ 7 × 5
(B) 10 3 – 100 × 7
(C) 5√3600
(D) 450 ÷ 50 × 50 – 5 × 30
(E) 10 × 3 + ... | Question: What is the least value of integer N such that N! is divisible by 888 ?
Options:
(A) 13
(B) 88
(C) 31
(D) 37
(E) D) 888 | 0 | CoT | stream_aqua_ii | fs_opt |
Rationale: Speed = 36 * 5/18 = 10 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 1/10 = 50 sec
The answer: (B)
Question: A train 360 m long is running at a speed of 36 km/hr. In what time will it pass a bridge 140 m long?
Options:
(A) 40 sec
(B) 50 sec
(C) 88 sec
(D) 19 sec
(E) 10 sec
Reasoning:... | Question: 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 | 1 | CoT | stream_aqua_ii | fs_opt |
Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 210 * 2/35 = 12 sec
A train 210 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 18 sec
(B) 16 sec
(C) 76 sec
(D) 12 sec
(E) 17 sec
(D)
The simple logic is to divide total balls into three sets. Weigh any two sets against each other(these two must c... | A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 65 sec
(B) 16 sec
(C) 87 sec
(D) 99 sec
(E) 96 sec
(B) | 3 | CoT | stream_aqua_ii | fs_opt |
Answer: (D)
Question: If 6x = 8y = 10z, then what is a possible sum of positive integers x, y, and z?
Options:
(A) 52
(B) 58
(C) 84
(D) 94
(E) 168
[CoT]: [6x = 8y = 10z
3x = 4y = 5z
3(4*5) = 4(3*5) = 5(3*4)
Addition = 20+15+12 = 47
Answer would be multiple of 47 which is 94]
Answer: (E)
Question: List K consists of 10... | 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
[CoT]: [P = P(A wi... | 5 | CoT | stream_aqua_ii | fs_opt |
Answer: (E)
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 36 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the sec... | If the given two numbers are respectively 6% and 30% of a third number, then what percentage is the first of the second ?
Options:
(A) 20%
(B) 25%
(C) 18%
(D) 30%
(E) none of these
[CoT]: [Here, l = 6 and m = 30
Therefore, first number = l/m x 100% of second number = 6/30 x 100% of second number = 20% of second number] | 5 | CoT | stream_aqua_ii | fs_opt |
Question: The year next to 1991 having the same calendar as that of 1990 is –
Options:
(A) 1998
(B) 2001
(C) 2002
(D) 2003
(E) None of these
Ans: (C)
CoT: We go on counting the odd days from 1991 onward still the sum is divisible by 7. The number of such days are 14 upto the year 2001. So, the calender for 1991 will be... | CoT: D = 540 + 180 = 720
S = 54 * 5/18 = 15 mps
T = 720/15 = 48 se
---- | 8 | CoT | stream_aqua_ii | fs_opt |
Rationale: Using question number 11 and 12, we get the probability as
1 - (1/36 + 5/9) = 5/12
The answer: (B)
Question: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is
Options:
(A) 5/9
(B) 5/12
(C) 1/36
(D) 7/12
(E) 4/9
Reasoning: Speed = 63 * 5/18 = 35/2 m/... | Question: 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 | 1 | CoT | stream_aqua_ii | fs_opt |
Rationale: Number of ways of selecting 4 people out of 9 people = 9C4
In the three members George will always be there in the team. At this step we have vacancy for 3 more members and 8 members are available. Nina cannot be there in the team. So 3 members have to be selected and the number of available members = 8 - Ni... | Question: Company Z spent 1/4 of its revenues last year on marketing and 1/7 of the remainder on maintenance of its facilities. What fraction of last year’s original revenues did company Z have left after its marketing and maintenance expenditures?
Options:
(A) 5/14
(B) 1/2
(C) 17/28
(D) 9/14
(E) 9/11 | 6 | CoT | stream_aqua_ii | fs_opt |
Ques: If X is the sum of first 20 positive even integers and Y is the sum of first 20 positive odd integers, what is the value of x-y?
Please try to explain your answers
Options:
(A) 0
(B) 20
(C) 50
(D) 75
(E) 100
Ans: (B)
CoT: First even minus first odd = 2-1 = 1;
The sum of first 2 even integers minus the sum of firs... | CoT: Speed downstream = d/t = 85/(2 1/2) = 34 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph
The speed of the stream = (34 - 18)/2 = 8 kmph | 0 | CoT | stream_aqua_ii | fs_opt |
[Ans] (B)
[Question] What should come in place of the question mark (?) in the following equation?
9568 – 6548 – 1024 = ?
Options:
(A) 2086
(B) 1996
(C) 2293
(D) 1896
(E) None of these
[CoT] ? = 9568 – 6548 – 1024 = 1996.
[Ans] (A)
[Question] Look at this series: 3, 4, 7, 8, 11, 12, ... What number should come next?
O... | The salary of a worker is first increased by 30% and afterwards reduced by 30%. What is net change in his salary?
Options:
(A) 910% increase
(B) 10% increase
(C) 9% decrease
(D) 12% decrease
(E) 15% increase
[CoT] (30 * 30)/100 = 9% decrease | 1 | CoT | stream_aqua_ii | fs_opt |
Rationale: 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.
T... | Question: Find the value of y from (12)^3 x 6^4÷432 =y?
Options:
(A) 4363
(B) 4765
(C) 4879
(D) 6789
(E) 5184 | 1 | CoT | stream_aqua_ii | fs_opt |
Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25 = 40 sec
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
(A)
(555 + 445) * 2 * 110 + 10 = 220000 + 10 = 220010
A no. when... | In g is a positive integer smaller than 200 and (14g)/60 is an integer, then g has how many different positive prime factors?
Options:
(A) 2
(B) 3
(C) 5
(D) 6
(E) 8
(B) | 3 | CoT | stream_aqua_ii | fs_opt |
Reasoning: 46 + 28 + 10 = 84%
100 – 84 = 16%
850 * 16/100 = 136
Ans: (A)
Question: In a school of 850 boys, 46% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Options:
(A) A) 136
(B) B) 627
(C) C) 153
(D) D) 721
(E) E) 159
Reasoning: Sum of 10 eve... | Question: A, B, C, and D are four points, any three of which are non-collinear. Then, the number of ways to construct three lines each joining a pair of points so that the lines do not form a triangle is
Options:
(A) 7
(B) 8
(C) 9
(D) 24
(E) 23 | 2 | CoT | stream_aqua_ii | fs_opt |
Reasoning: Minumum points for (may condition): 4
Ans: (C)
Question: 8 teams.each teams play twice with other teams.win =2poins. lose =0 points. no draw/match abandonment.top four go semis.if same points runrate considered. whats the minimum num of points with which a team may go to semis
Options:
(A) 2
(B) 3
(C) 4
(D) ... | 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) 110 meter
(B) 120 meter
(C) 100 meter
(D) 90 meter
(E) 105 meter | 2 | CoT | stream_aqua_ii | fs_opt |
Ques: There are 3 teams each with 6 basket players. How many combinations are there if we were to pick 2 players from the 3 teams such that no team was picked twice?
Options:
(A) 50
(B) 23
(C) 108
(D) 28
(E) 45
Ans: (C)
CoT: There are altogether three arrangements, which are we can select two members each from team A a... | CoT: Average weight = [(a + b + c + (a+b) + (b+c) + (c+a)+(a+b+c)] / 7 = 4 (a+b+c) /7 = 4 x 140/7 = 80 kgs | 0 | CoT | stream_aqua_ii | fs_opt |
Ques: Solve:-
333 x 333 x 333 + 555 x 555 x 555 = ?(333 x 333 - 333 x 555 + 555 x 555)
Options:
(A) 888
(B) 333
(C) 555
(D) 988
(E) 889
Ans: (A)
CoT: Given Exp. = (a3 + b3) = (a + b) = (333 + 555) = 888(a2 - ab + b2)
Ques: Elena’s bread recipe calls for 3 ounces of butter for each 4 cups of flour used. She needs to ma... | CoT: Total marks of 10 papers = 80 x 10 = 800
Total marks of 8 papers = 81 x 8 = 648
Total marks of two papers = (800 - 648) = 152
If highest total is 92, then the lowest total is
(152 - 92) = 60. | 0 | CoT | stream_aqua_ii | fs_opt |
Ques: Rita can knit a pair of socks in 3 days. Sita can knit the same in 6 days. If they are knitting together, in how many days will they knit two pairs of socks.
Options:
(A) 4
(B) 1
(C) 2
(D) 5
(E) 6
Ans: (C)
CoT: 1 /3+ 1/6 = 1 /2 Together they will take, 1/ 1/2 = 2
Ques: Twenty percent of Country Y's yearly export... | CoT: 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. | 0 | CoT | stream_aqua_ii | fs_opt |
Rationale: Marked price = 266 × 100⁄95 × 280
Cost Price = 280 × 100⁄112 = 250
The answer: (E)
Question: A shopkeeper sold sarees at 266 each after giving 5% discount on labelled price. Had he not given the discount, he would have earned a profit of 12% on the cost price. What was the cost price of each saree?
Options:
... | Question: How much 80% of 40 is greater than 10% of 15?
Options:
(A) 18
(B) 99
(C) 19
(D) 18
(E) 17 | 1 | CoT | stream_aqua_ii | fs_opt |
[Ques]: Grace has 17 jellybeans in her pocket. She has 9 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?
Options:
(A) 4
(B) 8
(C) 12
(D) 14
(E) 16
*Ans*: (D)
--CoT--: The worst scenario is when she takes 9 red an... | --CoT--: D = 72 * 5/18 = 50 = 1000 – 250 = 750m | 4 | CoT | stream_aqua_ii | fs_opt |
Reasoning: Since the difference between the divisors and the respective remainders is not constant, back substitution is the convenient method. None of the given numbers is satisfying the condition.
Ans: (E)
Question: Find the greatest four digit number which leaves respective remainders of 2 and 5 when divided by 15 a... | Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Options:
(A) 49 sec
(B) 50 sec
(C) 48 second
(D) 43 sec
(E) 32 sec | 0 | CoT | stream_aqua_ii | fs_opt |
Ques: Find the average of the first 9 natural numbers?
Options:
(A) 8
(B) 5
(C) 10
(D) 11
(E) 12
Ans: (B)
CoT: Average of the first 'n' natural numbers = (n + 1)/2
We get (9 + 1)/2 = 5
Ques: A man rows his boat 80 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Options:
(A... | CoT: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 210 * 2/35 = 12 sec | 0 | CoT | stream_aqua_ii | fs_opt |
Reasoning: Answer = B. 70 miles
Relational speed = 130 - 100 = 30 miles per hour
In 3 hours, difference = 30 * 3 = 90 miles
Fast train trailing 20 miles, so effective difference = 90 - 20 = 70 miles
Ans: (B)
Question: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 mil... | Question: Which value of x does statisfy the inequality 2x2 + x – 3 < 0?
Options:
(A) -3⁄2 < x < 1
(B) -1 < x < 3⁄2
(C) x > 1
(D) x < -2⁄5
(E) None of these | 2 | CoT | stream_aqua_ii | fs_opt |
Answer: (E)
Question: The purchase price of an article is $48. In order to include 20% of cost for overhead and to provide $12 of net profit, the markup should be
Options:
(A) 15%
(B) 25%
(C) 35%
(D) 40%
(E) 45%
[CoT]: [Cost price of article = 48$
% of overhead cost = 20
Net profit = 12 $
We need to calculate % markup
... | How many seconds will a train 100 meters long take to cross a bridge 250 meters long if the speed of the train is 36 kmph?
Options:
(A) 54 sec
(B) 35 sec
(C) 25 sec
(D) 45 sec
(E) 24 sec
[CoT]: [D = 100 + 250 = 350
S = 36 * 5/18 = 10 mps
T = 350/10 = 35 sec] | 5 | CoT | stream_aqua_ii | fs_opt |
Reasoning: {Total} = {finance} + {marketing} - {both} + {neither}
100 = 25 + 53 - {both} + 40
{both} = 18%.
Ans: (D)
Question: Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 53% took a marketing class last semester, and 40% took neither a financ... | Question: What is the next number of the following sequence.
8, 8, 6, 2,.... ?
Options:
(A) -4
(B) -5
(C) -6
(D) -7
(E) -8 | 2 | CoT | stream_aqua_ii | fs_opt |
Ques: Find the odd man out
445, 221, 109, 46, 25, 11, 4
Options:
(A) 221
(B) 109
(C) 46
(D) 25
(E) 21
Ans: (C)
CoT: 4*2+3 = 11
11*2+3 = 25
25*2+3 = 53
53*2+3 = 109
109*2+3 = 221
221*2+3 = 445
Ques: Ravi can do a piece of work in 11 days while Prakash can do it in 22 days. In how many days will they finish it together?... | CoT: (800*3*3)/100 = 72
920 + 72 = 992 | 0 | CoT | stream_aqua_ii | fs_opt |
Reasoning: S = 640/16 * 18/5 = 144 kmph
Ans: (C)
Question: A train 640 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Options:
(A) 22 kmph
(B) 77 kmph
(C) 144 kmph
(D) 71 kmph
(E) 88 kmph
Rationale: 90 * 10/60 = 15 kmph
The answer: (A)
Question: The speed of a train is 90 kmph. What is t... | Question: If the personal income tax rate is lowered from 45% to 30%, what is the differential savings for a tax payer having an annual income before tax to the tune of $48000?
Options:
(A) $3500
(B) $5000
(C) $3150
(D) $7200
(E) $10000 | 0 | CoT | stream_aqua_ii | fs_opt |
(Ans). (D)
(Question). If a company allocates 25 percent of its budget to advertising, 15 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?
Options:
(A) 4/5
(B) 3/5
(C) 3/10
(D) 1/20
(E) 1/40
(CoT). 25 + 15 + 55 = 95% 100 - 95 = 5% to all others
(A... | 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
(CoT). Maximum points of intersection between n different circles = n*(n - 1) = 5*4 = 20 | 9 | CoT | stream_aqua_ii | fs_opt |
Ques: By travelling at 40 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?
Options:
(A) 20
(B) 99
(C) 77
(D) 63
(E) 61
Ans: (A)
CoT: Let the time taken to rea... | CoT: |15 - 8n| represents the distance between 15 and 8n on the number line. Now, the distance will be minimized when 8n, which is multiple of 8, is closest to 15. Multiple of 8 which is closest to 15 is 16 (for n = 2), so the least distance is 1: |15 - 16| = 1. | 0 | CoT | stream_aqua_ii | fs_opt |
Rationale: 14 m/s = 14 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 14 * 18/5 * 15/4 km = 189 km.
The answer: (A)
Question: If a man can cover 14 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 189km
(B) 195km
(C) 197km
(D) 200km
(E) 205k... | Question: A car finishes a journey in ten hours at the speed of 80 km/hr. If the same distance is to be covered in eight hours how much more speed does the car have to gain?
Options:
(A) 8 km/hr
(B) 10 km/hr
(C) 12 km/hr
(D) 16 km/hr
(E) None of these | 1 | CoT | stream_aqua_ii | fs_opt |
Reasoning: (1056 / 23) gives remainder 21
21 + 2 = 23, So we need to add 2
Ans: (B)
Question: What is theleast number should be added to 1056, so the sum of the number is completely divisible by 23?
Options:
(A) 1
(B) 2
(C) 3
(D) 5
(E) 6
Rationale: 1/2:1/2:1/4 = 2:2:1
1/5*1000 = 200
400-200 = 200
The answer: (A)
Questi... | Question: Rs.1300 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?
Options:
(A) 387
(B) 736
(C) 300
(D) 345
(E) 635 | 0 | CoT | stream_aqua_ii | fs_opt |
Rationale: This is a simple alternating subtraction and addition series; The first series begins with 1 and adds 6; the second begins with 20 and subtracts 4, and so on.
The answer: (C)
Question: Fill in the blank with the correct number in this number series: 1, 20, 7, 16, __, 12, 19, ?
Options:
(A) 14
(B) 12
(C) 13
(... | 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) 4 | 1 | CoT | stream_aqua_ii | fs_opt |
Reasoning: 1/2:1/3:1/4 = 6:4:3
Ram = 6/13 * 3250 = 1500
Shyam = 4/13 * 3250 = 1000
Mohan = 3/13 * 3250 = 750
Ans: (A)
Question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?
Options:
(A) 750
(B) 888
(C) 261
(D) 787
(E)... | Question: 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) 400
(C) 4000
(D) 324
(E) 200 | 0 | CoT | stream_aqua_ii | fs_opt |
Ques: In case L is the only individual sewing on committee B, which among the following shouldserve on committee A?
Options:
(A) V and U
(B) V and T
(C) U and S
(D) M and N
(E) T and U
Ans: (D)
CoT: M and N should serve on A
Ques: In wardrobe Marry has 3trousers. One of them is grey the 2nd blue and the 3rd brown. In ... | CoT: In this series, each number is repeated, then 10 is subtracted to arrive at the next number. | 0 | CoT | stream_aqua_ii | fs_opt |
Reasoning: In 10s the train crosses the pole and in 30 sec the train crosses one more stationary train
In 20 sec the train travels a distance of 600 mtrs
Speed = 600/20 = 30 m/s = 30 (3600/1000) = 30 * 18/5 = 108 kmph
Ans: (C)
Question: A Train requires 10 seconds to pass a pole while it requires 30 seconds to cross a ... | 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) 47%
(C) 57%
(D) 60%
(E) 62% | 0 | CoT | stream_aqua_ii | fs_opt |
Reasoning: 9 = (1*54*R)/100
R = 16 2/3 %
Ans: (E)
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 %
Reasoning: 1/20 - 1/40 = 1/40
40 minutes
Ans: (C)
Question: A pipe can fill a cistern in ... | Question: A no.when divided by 142 gives a remainder 110, what remainder will be obtainedby dividingthe same no.14?
Options:
(A) 16
(B) 17
(C) 18
(D) 19
(E) 20 | 2 | CoT | stream_aqua_ii | fs_opt |
12 m/s = 12 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 12 * 18/5 * 15/4 km = 162 km.
If a man can cover 12 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 228
(B) 162
(C) 5528
(D) 256
(E) 191
(B)
40x⁄100 + y = 125x⁄100 ⇒ x⁄y = 20⁄17
If... | 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
(C) | 3 | CoT | stream_aqua_ii | fs_opt |
Ques: There are 1000000 people in city X, out of these 70% people having voting rights and out of those 55% voters votes candidate A and out of them 20% voters are senior citizens.Then find out the number of senior citizens who votes candidate A having voting rights?
Options:
(A) 8300
(B) 14500
(C) 7700
(D) 13000
(E) 5... | CoT: Avg = [(x+1)^2 + (x-1)^2] / 2
Expanding and simplifying, (x^2 + 2x + 1 + x^2 -2x + 1 ) / 2 = x^2 + 1 | 0 | CoT | stream_aqua_ii | fs_opt |
Rationale: S = 180/6 * 18/5 = 108 kmph
The answer: (C)
Question: A 180 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Options:
(A) 48 kmph
(B) 52 kmph
(C) 108 kmph
(D) 100 kmph
(E) 98 kmph
Reasoning: 1/2 * 20(9 + 6) = 150 cm2
Ans: (B)
Question: Find the area of the qua... | Question: A wheel rotates 20 times every minute and moves 20 cm during each rotation. How many metres does the wheel move in one hour?
Options:
(A) 4 metre
(B) 12 metre
(C) 240 metre
(D) 2400 metre
(E) 130 metre | 1 | CoT | stream_aqua_ii | fs_opt |
Reasoning: Let the average after 7th inning = x
Then average after 16th inning = x - 3
\inline \fn_jvn \therefore 16(x-3)+87 = 17x
\inline \fn_jvn \therefore x = 87 - 48 = 39
Ans: (A)
Question: A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning?... | Question: How many distinct prime numbers are factors of 33150?
Options:
(A) Four
(B) Five
(C) Six
(D) Seven
(E) Eight | 0 | CoT | stream_aqua_ii | fs_opt |
Reasoning: Total age of students is 32X16 = 512 Years
Total age inclusive of teacher = 33X (16+1) = 561
So, Teacher's age is 561-512 = 49 Yrs
There is a shortcut for these type of problems
Teacher's age is 16+(33X1) = 49 Years
Ans: (E)
Question: The average age of a class of 32 students is 16 yrs. if the teacher's age ... | Question: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for five years?
Options:
(A) 31500
(B) 27773
(C) 29989
(D) 28800
(E) 29883 | 0 | CoT | stream_aqua_ii | fs_opt |
Answer: (B)
Question: In how many different ways can the letters of the word "CLAIM" be rearrangement?
Options:
(A) 110
(B) 120
(C) 125
(D) 130
(E) 140
[CoT]: [The total number of arrangements is
5P5 = 5! = 120]
Answer: (C)
Question: Ann invested a certain sum of money in a bank that paid simple interest. The amount g... | Look at this series: 0.25, 1.75, ____, 85.75, 600.25, ... What number should fill the blank?
Options:
(A) 11.25
(B) 12.25
(C) 13.25
(D) 9.25
(E) 10.75
[CoT]: [This is a simple multiplication series. Each number is 7 times greater than the previous number.] | 5 | CoT | stream_aqua_ii | fs_opt |
Reasoning: ? ≈ 18⁄5 × 160 + 40⁄1000 × 1850 + 450
≈ 576 + 740 + 450 ≈ 1760 ≈ 1800
Ans: (D)
Question: What approximate value should come in place of the question mark (?) in the following equation’?
3 3⁄5 of 157.85 + 39% of 1847 = ? – 447.30
Options:
(A) 1200
(B) 1500
(C) 1600
(D) 1800
(E) 2100
Rationale: I think answer ... | Question: Find the largest 4 digit number which isexactly divisible by 88?
Options:
(A) 3454
(B) 4586
(C) 9944
(D) 10564
(E) 18664 | 0 | CoT | stream_aqua_ii | fs_opt |
Reasoning: 12
12 × 4 + 2 = 50
50 × 4 + 2 = 202
202 × 4 + 2 = 810
810 × 4 + 2 = 3242
3242 × 4 + 2 = 12970
Ans: (C)
Question: What number comes next in the following number series? 12, 50, 202, 810, 3242, _____
Options:
(A) 12400
(B) 12800
(C) 12970
(D) 13015
(E) 16000
Rationale: Dick saved = $ 3240
Jane saved = $ 1760 (... | Question: A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 15% on conveyance. If his savings at the end of the month is Rs. 1200, then his salary per month in rupees is:
Options:
(A) 4000
(B) 24000
(C) 8000
(D) 10000
(E) None of these | 0 | CoT | stream_aqua_ii | fs_opt |
[Ques]: A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?
Options:
(A) 287
(B) 699
(C) 677
(D) 168
(E) 200
*Ans*: (E)
--CoT--: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 12 = 200 m
[Ques]: In what time a sum of money double itself at 3% ... | --CoT--: Speed downstream = d/t = 85/(2 1/2) = 34 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph
The speed of the stream = (34 - 18)/2 = 8 kmph | 4 | CoT | stream_aqua_ii | fs_opt |
## Solution
70 + 75 = 145 * 5/18 = 725/18 mps
D = 150 + 100 = 250 m
T = 250 * 18/725 = 180/29 = 6 6/29 sec
## What the question and answer could be
Two trains are moving at 75 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely i... | A small company employs 3 men and 5 women. If a team of 3 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 men?
Options:
(A) 5/7
(B) 1/7
(C) 2/7
(D) 3/7
(E) 1/2
(A) | 7 | CoT | stream_aqua_ii | fs_opt |
Reasoning: Mother has a fixed place and father, so there are 2! ways to arrange the children, hence
Ans: (A)
Question: A family with 1 mother, 1 father, and 2 children sit in a car with 2 front seats and 3 back seats. If the mother drives with a child in the front, and the father sits in the back center seat with the o... | Question: 80 ? 860 1550 2440 3530
Options:
(A) 370
(B) 840
(C) 750
(D) 860
(E) 960 | 2 | CoT | stream_aqua_ii | fs_opt |
Rationale: 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: (C)
Question: Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?
Options:
(A) 2... | Question: How many positive integers less than 60 have a reminder 01 when divided by 4?
Options:
(A) 13
(B) 14
(C) 15
(D) 16
(E) 17 | 1 | CoT | stream_aqua_ii | fs_opt |
Rationale: 1/30 + 1/40 = 7/120
120/7 = 17 1/7 days
The answer: (A)
Question: Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
Options:
(A) 17 1/7
(B) 17 1/5
(C) 17 1/8
(D) 17 1/1
(E) 17 1/2
Reasoning: Part filled by A + B + C in 1 hour = 1/5 + 1/1... | Question: How much more would Rs.10000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Options:
(A) 241
(B) 725
(C) 992
(D) 837
(E) 923 | 1 | CoT | stream_aqua_ii | fs_opt |
Rationale: 2/10*1/6*(total) = 5
1/30*(total) = 5
(total) = 5*30 = 150
The answer: (E)
Question: Twenty 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 $5 million from its orange exports, how much money does it genera... | Question: Find 95 ×× 97
Options:
(A) 92/198
(B) 92/12
(C) 92/13
(D) 92/10
(E) 92/15 | 1 | CoT | stream_aqua_ii | fs_opt |
Reasoning: One day work of A and B = 1/2
One day work of B and C = 1/6
One day work of C and A = 1/8
2(A + B + C) = 1/2 + 1/6 + 1/8
2(A + B + C) = 19/24
(A + B + C) = 19/48
Number of days required = 48/19 days.
Ans: (B)
Question: A and B can do a work in 2 days, B and C in 6 days and C and A in 8 days. In how many days... | Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is
Options:
(A) 1/9
(B) 1/7
(C) 1/5
(D) 1/1
(E) 1/2 | 0 | CoT | stream_aqua_ii | fs_opt |
## Solution
He lost $5. The lady from the flower shop gave him $20 in change, but eventually got $20 back. She broke even. The man who got the haircut gave the barber nothing (except counterfeit money) but got $5 back from the barber. So the barber lost only $5, and gave a free haircut.
## What the question and answer ... | A train 510 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) 52
(C) 26
(D) 21
(E) 14
(B) | 7 | CoT | stream_aqua_ii | fs_opt |
[Ques]: 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 ... | --CoT--: 12 is an even number while the others are od | 4 | CoT | stream_aqua_ii | fs_opt |
Reasoning: Work done by X in 1 day = 1/18
Work done by Y in 1 day = 1/15
Work done by Y in 10 days = 10/15 = 2/3
Remaining work = 1 – 2/3 = 1/3
Number of days in which X can finish the remaining work = (1/3) / (1/18) = 6
Ans: (C)
Question: X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked f... | Question: A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 200. How much did he have with him in the beginning?
Options:
(A) s 200
(B) s 500
(C) s 300
(D) s 450
(E) s 550 | 2 | CoT | stream_aqua_ii | fs_opt |
Rationale: 200/72 * 18/5 = 10 km/hr
The answer: (A)
Question: A boy runs 200 metres in 72 seconds. What is his speed ?
Options:
(A) 10 km/hr
(B) 14 km/hr
(C) 20 km/hr
(D) 12 km/hr
(E) 24 km/hr
Reasoning: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 15 = 250 meter
Ans: (E)
Ques... | Question: (998-1)(998-2)(998-3)........(998-n)=....... when n>1000
Options:
(A) 4
(B) 3
(C) 2
(D) 1
(E) 0 | 1 | CoT | stream_aqua_ii | fs_opt |
Reasoning: Divisibility rule of 3: The sum of the digits of the number should be divisible by 3
Option A: 10394, Sum = 17. Not divisible by 3. Hence the number 10394 is also not divisible by 3
Option B: 15363, Sum = 18, Divisible by 3
Option C: 29340, Sum = 18, Divisible by 3
Option D: 30753, Sum = 18, Divisible by 3
O... | Question: A train 250 m long running at 72 kmph crosses a platform in 50 sec. What is the length of the platform?
Options:
(A) 150m
(B) 200m
(C) 250m
(D) 750m
(E) 300 m | 0 | CoT | stream_aqua_ii | fs_opt |
[Ans] (C)
[Question] A train running at the speed of 90 km/hr crosses a pole in 10 seconds. Find the length of the train.
Options:
(A) 150
(B) 180
(C) 250
(D) 200
(E) 225
[CoT] Speed = 90*(5/18) m/sec = 25 m/sec
Length of Train (Distance) = Speed * Time
25 *10 = 250 meter
[Ans] (A)
[Question] If sushi rows 27 km upstr... | 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
[CoT] A = 7500(26/25)2 = 8112 | 1 | CoT | stream_aqua_ii | fs_opt |
Rationale: 60*5:36*6:75*3
100: 72: 75
100/247 * 7410 = 3000
The answer: (B)
Question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
Options:
(A) 2277
(B) 3000
(C) 2682
(D) 7222
... | Question: in how many ways can six members be selected from a group of ten members?
Options:
(A) 10C6
(B) 10C4
(C) 10C9
(D) 10C2
(E) 10C1 | 6 | CoT | stream_aqua_ii | fs_opt |
Rationale: T = 192/32 = 6 h
T = 6 - 3 = 3
Time Ratio = 6:3 = 2:1
Speed Ratio = 1:2
The answer: (A)
Question: A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio ... | Question: Fifteen telegenic contestants with a variety of personality disorders are to be divided into two “tribes” of four 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) 1200
(E) 1365 | 1 | CoT | stream_aqua_ii | fs_opt |
Reasoning: Area of an equilateral triangle = √3/4 S2
If S = 8, Area of triangle = √3/4 * 8 * 8 = 16√3 cm2;
Ans: (C)
Question: What is the are of an equilateral triangle of side 8 cm?
Options:
(A) 64√5
(B) 64√9
(C) 16√3
(D) 64√3
(E) 64√2
Rationale: 100 * 100 = 10000
115 * 80 = 9200
The answer: (E)
Question: The length o... | Question: 252 can be expressed as a product of primes as :
Options:
(A) 2 x 2 x 3 x 3 x 7
(B) 2 x 2 x 2 x 3 x 7
(C) 3 x 3 x 3 x 3 x 7
(D) 2 x 3 x 3 x 3 x 7
(E) 2 x 3 x 7 x 3 x 2 | 0 | CoT | stream_aqua_ii | fs_opt |
Reasoning: Let the number of dogs be 'x' and the number of peacocks by 'y'. Then, number of legs in the group = 4x + 2y. Number of heads in the group = x+y So, 4x+2y = 4(x+y) – 18 ⇒ 2y = 18 ⇒ y = 9 Number of peacocks in that group = 9.
Ans: (A)
Question: In a group of dogs and peacocks, the number of legs are 18 less t... | Question: A pipe can fill a cistern in 12 minutes whereas the cistern when fill can be emptied by a leak in 18 minutes. When both pipes are opened, find when the cistern will be full?
Options:
(A) 17
(B) 16
(C) 70
(D) 36
(E) 12 | 0 | CoT | stream_aqua_ii | fs_opt |
Answer: (A)
Question: Find the product of the localvalue and absolutevalue of 1 in 20168?
Options:
(A) 100
(B) 110
(C) 151
(D) 120
(E) 140
[CoT]: [Local value of 1 = 1 x 100 = 100
Place value of 1 = 1
There fore = 1 x 100 = 100]
Answer: (D)
Question: 5,9,17,29,49,__
Options:
(A) 79
(B) 80
(C) 81
(D) 82
(E) 83
[CoT]: [... | 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
[CoT]: [125% of 120% of A = 222
125/100 * 120/100 * A = 222
A = 222 * 2/3 = 148.] | 5 | CoT | stream_aqua_ii | fs_opt |
Ques: If 12 men can reap 120 acres of land in 36 days, how many acres of land can 44 men reap in 54 days?
Options:
(A) 820 acres
(B) 660 acres
(C) 620 acres
(D) 720 acres
(E) 920 acres
Ans: (B)
CoT: 12 men 120 acres 36 days
44 men ? 54 days
120 * 44/12 * 54/36
10 * 44 * 3/2
44 * 15 = 660
Ques: From the set of numbers ... | CoT: 20/100*1/4*(total) = 40
1/20*(total) = 40
(total) = 40*20 = 800 | 0 | CoT | stream_aqua_ii | fs_opt |
My ans is 10C3 = 120
Ten 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) 1200
(E) 1260
(A)
1/18 + 1/30 = 8/90 = 4... | The average age of A, B and C is 25 years. If the average age of A and C is 29 years, what is the age of B in years ?
Options:
(A) 17
(B) 35
(C) 20
(D) 32
(E) 21
(A) | 3 | CoT | stream_aqua_ii | fs_opt |
Rationale: Must be twice on heads and twice on tails
1/2*1/2*1/2*1/2 = 1/16
The answer: (C)
Question: When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 4 times, what is the probability that it will land twice on heads and twice tails?
Options:
(A) 1/8
(B) 1/4
(C) 1/16
(D... | Question: 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 | 1 | CoT | stream_aqua_ii | fs_opt |
Reasoning: {Total} = {finance} + {marketing} - {both} + {neither}
100 = 25 + 52 - {both} + 40
{both} = 17%.
Ans: (D)
Question: Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 52% took a marketing class last semester, and 40% took neither a financ... | Question: In the x-y plane, point (x, y) is a lattice point if both x and y are integers. Circle C has a center at (-2, -2) and a diameter of 8. Some points, such as the center (-2, -2), are inside the circle, but a point such as (-2, 2) is on the circle but not in the circle. How many lattice points are in circle C?
O... | 0 | CoT | stream_aqua_ii | fs_opt |
Answer: (A)
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train?
Options:
(A) 150
(B) 872
(C) 287
(D) 288
(E) 212
[CoT]: [Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 9 = 150 meter]
Answer: (D)
Question: Right triangle ... | What is the maximum number of pieces of birthday cake of size 2” by 2” that can be cut from a cake 20” by 20”?
Options:
(A) 5
(B) 100
(C) 16
(D) 20
(E) 25
[CoT]: [The prompt is essentially asking for the maximum number of 2 x 2 squares that can be cut from a larger 20 by 20 square. Since each 'row' and each 'column' of... | 5 | CoT | stream_aqua_ii | fs_opt |
Reasoning: D = 72 * 5/18 = 40 = 800 – 250 = 450m
Ans: (A)
Question: A train 250 m long running at 72 kmph crosses a platform in 40 sec. What is the length of the platform?
Options:
(A) 450m
(B) 200m
(C) 250m
(D) 270m
(E) 300 m
Rationale: 35 * 18/5 = 126 kmph
The answer: (C)
Question: Express 35 mps in kmph?
Options:
... | Question: What percent is 120 of 60?
Options:
(A) 133 1/3 %
(B) 134 1/3 %
(C) 200 %
(D) 140 1/3 %
(E) 143 1/3 % | 0 | CoT | stream_aqua_ii | fs_opt |
Answer: (D)
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
[CoT]: [Each crate requires 2 apples and totally there are 10 crates so required apples = 10 * 2 = 20]
Answer: (C)
Question: The radius of a c... | There are 25 balls in a jar. You take out 5 blue balls without putting them back inside, and now the probability of pulling out a blue ball is 1/5. How many blue balls were there in the beginning?
Options:
(A) 12.
(B) 9.
(C) 8.
(D) 7.
(E) 6.
[CoT]: [9 = 5 blue balls + 20/ 5] | 5 | CoT | stream_aqua_ii | fs_opt |
Reasoning: Since average price of a pencil = 2
∴ Price of 75 pencils = 150
∴ Price of 30 pens = (570 – 150) = 360
∴ Average price of a pen = 420⁄60 = 14
Ans: (E)
Question: 30 pens and 75 pencils were purchased for 570. If the average price of a pencil was 2.00, find the average price of a pen.
Options:
(A) 10
(B) 11
(C... | Question: At 15:00 there were 20 students in the computer lab. At 15:03 and every three minutes after that, 3 students entered the lab. If at 15:10 and every ten minutes after that 7 students left the lab, how many students were in the computer lab at 15:44 ?
Options:
(A) 7
(B) 14
(C) 25
(D) 27
(E) 30 | 2 | CoT | stream_aqua_ii | fs_opt |
Rationale: Using Speed Formula: Speed = Distance / Time
Distance to be covered = 51-11 = 40
Speed of approach = 57 + 63 floors/min
Time = 40/120 = 1/3
So Steve will cover 57x 1/3 floors in that time = 19
So he will be in 19 + 11 floor = 30th Floor
The answer: (C)
Question: Steve gets on the elevator at the 11th floor o... | Question: If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 5 and 5K + 1 is 85, what is the value of K?
Options:
(A) 11
(B) 15 3/4
(C) 31
(D) 23
(E) 25 3/10 | 1 | CoT | stream_aqua_ii | fs_opt |
Reasoning: Original perimeter = x
Hence original side = x/4
New side = 6x/4
New perimeter = 4*6x/4 = 6x
Ans: (C)
Question: The measure of the side of a square is multiplied by 6. If x represents the perimeter of the original square, what is the value of the new perimeter?
Options:
(A) 3x
(B) 4x
(C) 6x
(D) 12x
(E) 27x
R... | Question: X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?
Options:
(A) 2
(B) 3
(C) 6
(D) 7
(E) 8 | 0 | CoT | stream_aqua_ii | fs_opt |
Reasoning: Speed in still water = 1 (11 + 5)/2 kmph = 8 kmph.
Ans: (C)
Question: In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Options:
(A) 6
(B) 7
(C) 8
(D) 9
(E) 5
Rationale: Plug in an odd integer; in this case 3
(2*3)-3 = 3 Odd... | Question: A can do a piece of work in 20 days. B in 15 days A 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) 9 days
(B) 8 days
(C) 5 days
(D) 54 days
(E) 2 days | 0 | CoT | stream_aqua_ii | fs_opt |
[Ans] (E)
[Question] If a man can cover 18 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 288
(B) 162
(C) 878
(D) 168
(E) 243
[CoT] 18 m/s = 12 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 18 * 18/5 * 15/4 km = 243 km.
[Ans] (A)
[Questi... | The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
Options:
(A) 15
(B) 66
(C) 77
(D) 52
(E) 42
[CoT] 90 * 10/60 = 15 kmph | 1 | CoT | stream_aqua_ii | fs_opt |
Rationale: This is a simple alternating subtraction and addition series; The first series begins with 3 and adds 5; the second begins with 9 and subtracts 2, and so on.
The answer: (E)
Question: Fill in the blank with the correct number in this number series: 3, 9, 8, 7, __, 5, 18, ?
Options:
(A) 6
(B) 7
(C) 9
(D) 10
(... | Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.
Options:
(A) 150 m
(B) 155 m
(C) 180 m
(D) 190 m
(E) 205 m | 1 | CoT | stream_aqua_ii | fs_opt |
Ques: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 150 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 5 o'clock?
Options:
(A) 60 miles
(B) 80 mile... | CoT: (555 + 445) * 2 * 110 + 30 = 220000 + 30 = 220030 | 0 | CoT | stream_aqua_ii | fs_opt |
Reasoning: As per the question, let x = 2, y = 6, and z = 12. Plugging these into the answer choices, only A does not yield an integer.
Ans: (A)
Question: If x, y, and z are positive integers such that x is a factor of y and y is a factor of z, which of the following is NOT necessarily an integer?
Options:
(A) (x + y) ... | Question: At the A-Street Fish Market a vendor sells fresh caught fish. His store is filled with 2/7 bass, 1/5 tuna, 1/7 trout, and the rest are catfish. If a customer just bought 1/7 of all the tuna and 1/7 of all the catfish, and a fisherman arrived to restock the bass, doubling the number of bass, what proportion of... | 0 | CoT | stream_aqua_ii | fs_opt |
Reasoning: Total expenditure = 40 + 25 + 15 + 5 = 85%
Saving = (100 - 85) = 15%
15/100 × Salary = 1200, Salary = 8000 Rs.
Ans: (C)
Question: A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 5% on conveyance. If his savings at the end of the month is Rs. 1200, then his salary per mo... | Question: What will be the remainder when 17^200 is divided by 18
Options:
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5 | 0 | CoT | stream_aqua_ii | fs_opt |
Rationale: Answer: Option D
This is an alternating division and addition series: First, divide by 2, and then add 8.
The answer: (D)
Question: Look at this series: 664, 332, 340, 170, ____, 89, ... What number should fill the blank?
Options:
(A) 85
(B) 97
(C) 109
(D) 178
(E) 112
Reasoning: 1/2:1/3:1/4 = 6:4:3
Ram = 6/1... | 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 | 1 | CoT | stream_aqua_ii | fs_opt |
Rationale: Increase = (12/60)*100 = (1/5)*100 = 20%.
The answer: (A)
Question: John makes $60 a week from his job. He earns a raise andnow makes $72 a week. What is the % increase?
Options:
(A) 20%
(B) 16.66%
(C) 16.56%
(D) 17.66%
(E) 18.1%
Reasoning: One day work of A and B = 1/12
One day work of B and C = 1/30
One da... | Question: There are 16 teams in a tournament. If during the first round, each team plays every other team exactly once, how many games will be played in the first round?
Options:
(A) 15
(B) 30
(C) 120
(D) 240
(E) 256 | 1 | CoT | stream_aqua_ii | fs_opt |
Rationale: 7C3 * 4C2 * 3C2 = 35*6*3 = 630.
The answer: (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 7 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 7 stoc... | Question: What approximate value should come in place of the question mark (?) in the following equation’?
3 3⁄5 of 157.85 + 39% of 1847 = ? – 447.30
Options:
(A) 1200
(B) 1500
(C) 1600
(D) 1800
(E) 2100 | 1 | CoT | stream_aqua_ii | fs_opt |
Reasoning: Since the total number of skeins is X, then X = Blue + Yellow + Red
Because there are twice as many Blue as Yellow, then Blue = 2*Yellow
Thus X = 2*Yellow + Yellow + Red, which simplifies to X = 3*Yellow + Red
Because there are twice as many Yellow as Red, then Yellow = 2*Red
Thus X = 3*(2*Red) + Red, which ... | Question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
Options:
(A) 288
(B) 270
(C) 999
(D) 278
(E) 121 | 2 | CoT | stream_aqua_ii | fs_opt |
Rationale: There are altogether three arrangements, which are we can select two members each from team A and B, each from team A and C, and each from team B and C. For each arrangement, there are altogether 49 possibilities (7*7) since each team has 7 players. So there are a total of 147 possibilities (49*3). I hope th... | 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 | 1 | CoT | stream_aqua_ii | fs_opt |
Reasoning: 9 = (1*40*R)/100
R = 22 1/2 %
Ans: (D)
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 3/2 %
(C) 22 1/8 %
(D) 22 1/2 %
(E) 22 1/2 %
Rationale: (1056 / 27) gives remainder 3
24 + 3 = 27, So we need to add 24
The answer: (D)
... | Question: A and B are integers. The expression (A+1)(B+1) is even. What can be said about A and B?
Options:
(A) They are both even numbers.
(B) At least one of them is even
(C) At least one of them is odd.
(D) They are both odd.
(E) Nothing can be said surly on A and B | 0 | CoT | stream_aqua_ii | fs_opt |
Reasoning: Purchase = 8748/(1-10/100^3) = 12000
Ans: (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
Rationale: 100 * 100 = 10000
145 * 80 =... | Question: If the three-digit number 5W2 is evenly divisible by 8, which of the following could be the digit W ?
Options:
(A) 5
(B) 4
(C) 3
(D) 2
(E) 1 | 0 | CoT | stream_aqua_ii | fs_opt |
In Badminton game, Probably the easiest approach would be to find the probability of the opposite event and subtract it from 1:
P(win) = 1- P(not win) = 1 - 4/6*4/6 = 5/9.
In Badminton game, one player throws two fair, six-sided die at the same time. If the player receives at least a five or a one on either die, that p... | If X is the sum of first 100 positive even integers and Y is the sum of first 100 positive odd integers, what is the value of x-y?
Please try to explain your answers
Options:
(A) 0
(B) 25
(C) 50
(D) 75
(E) 100
(E) | 3 | CoT | stream_aqua_ii | fs_opt |
Rationale: Dist = (100/45*9) = 20 m
The answer: (E)
Question: In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:
Options:
(A) 10
(B) 12
(C) 30
(D) 40
(E) 20
Reasoning: The sum all three digits comes to 10 except 323
Ans: (A)
Question: Find the odd man out
253, 136, 352, 3... | Question: Ravi can do a piece of work in 15 days while Prakash can do it in 6 days. In how many days will they finish it together?
Options:
(A) 5 7/9 days
(B) 6 7/9 days
(C) 5 1/9 days
(D) 5 7/2 days
(E) 4 2/7 days | 1 | CoT | stream_aqua_ii | fs_opt |
Reasoning: 11 cartons total
7 large boxes (7 * 8 = 56 boxes)
4 small boxes (4 *10 = 40 boxes
11 total cartons and 96 boxes
Ans: (E)
Question: A merchant can place 8 large boxes or 10 small boxes into a carton for shipping. In one shipment, he sent a total of 96 boxes. If there are more large boxes than small boxes, how... | Question: Using all the letters of the word "THURSDAY", how many different words can be formed?
Options:
(A) 7
(B) 8!
(C) 9
(D) 3
(E) 1 | 0 | CoT | stream_aqua_ii | fs_opt |
Question: Rectangular tile each of size 25cm by 65cm must be laid horizontally on a rectangular floor of size 150cm by 390cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges o... | CoT: Vowel: E O
Consonants: V R M N T
First letter can be filled in 2 Ways ( As the question states that first letter has to be a vowel)
Fifth letter can be filled in 5 Ways ( As the question states that the last letter has to be a consonant)
Second letter can be filled in 7 Ways
Third letter can be filled in 7 Ways
Fo... | 8 | CoT | stream_aqua_ii | fs_opt |
Reasoning: 300/10 = 30. The difference is 30 - 25 = 5.
Ans: (C)
Question: A certain car uses 12 gallons of gasoline in traveling 300 miles. In order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car’s gas mileage be increased?
Options:
(A) 2
(B) 4
(C) 5
(D) ... | Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 3446
(B) 2345
(C) 5467
(D) 4767
(E) 5184 | 2 | CoT | stream_aqua_ii | fs_opt |
Rationale: Number of newborns that can die in first month = 1/10 * 700 = 70
Survived = 630
Number of newborns that can die in second month = 1/10 * 630 = 63
Survived = 567
Number of newborns that can die in third month = 1/10 * 567 = 56
Survived = 511
The answer: (A)
Question: In a certain animal population, for each o... | Question: a school has 4 maths 3 physics and 3 chemistry teachers each teacher can teach 2 subjects max what is he minimum number of teachers required
Options:
(A) 4
(B) 5
(C) 6
(D) 7
(E) 8 | 1 | CoT | stream_aqua_ii | fs_opt |
Reasoning: Answer = A. 45 miles
Relational speed = 130 - 100 = 30 miles per hour
In 2 hours, difference = 30 * 2 = 60 miles
Fast train trailing 15 miles, so effective difference = 60 - 15 = 45 miles
Ans: (A)
Question: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 mil... | Question: Sarah's seafood restaurant gets a delivery of fresh seafood every day, 6 days per week, and her delivery company charges her dollars per delivery plus cents per item delivered. If lst week Sarah's seafood restaurant had an average of x items per day delivered, then which of the following is the total cost, in... | 0 | CoT | stream_aqua_ii | fs_opt |
Rationale: This alternating addition series begins with 3; then 1 is added to give 4; then 3 is added to give 7; then 1 is added, and so on.
The answer: (A)
Question: Look at this series: 3, 4, 7, 8, 11, 12, ... What number should come next?
Options:
(A) 15
(B) 14
(C) 17
(D) 12
(E) 19
Reasoning: 1 man's 1 day work = 1/... | Question: ? 370 860 1550 2440 3530
Options:
(A) 900
(B) 840
(C) 750
(D) 860
(E) 80 | 1 | CoT | stream_aqua_ii | fs_opt |
Reasoning: 20 + 24 + 8 * 2 = 60/2 = 30
Ans: (C)
Question: The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
Options:
(A) 29
(B) 78
(C) 30
(D) 28
(E) 12
Rationale: Distance traveled by Eddy = 600 km
Time taken by Eddy... | Question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
Options:
(A) 3002
(B) 3000
(C) 3018
(D) 3019
(E) 3012 | 0 | CoT | stream_aqua_ii | fs_opt |
(Ans). (C)
(Question). The total number of apples and oranges in the refrigerator is 7 more than the total number of oranges and peaches in the refrigerator. How much lesser is the number of peaches in the refrigerator as compared to apples?
Options:
(A) 2
(B) 8
(C) 7
(D) 6
(E) 4
(CoT). (Apples + Oranges) - (Oranges + ... | 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
(CoT). S = 560/16 * 18/5 = 126 kmph | 9 | CoT | stream_aqua_ii | fs_opt |
Reasoning: 2/3 * 6/7 * 1/3 * 3/8 = 36/504 = 3/42
Ans: (E)
Question: The compound ratio of 2/3, 6/7, 1/3 and 3/8 is given by?
Options:
(A) 7/98
(B) 1/48
(C) 1/98
(D) 1/96
(E) 3/42
Rationale: Number of ways of choosing 4 stocks = 8C4
Number of ways of ranking the chosen stocks = 4!
Hence total ways of chosing and ranking... | Question: A certain league has five divisions. The respective divisions had 6, 7, 8, 9 and 11 teams qualify for the playoffs. Each division held its own double-elimination tournament -- where a team is eliminated from the tournament upon losing two games -- in order to determine its champion. The four division champion... | 0 | CoT | stream_aqua_ii | fs_opt |
Rationale: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62
The answer: (E)
Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 3456
(B) 4567
(C) 4789
(D) 5678
(E) 5184
Reasoning: Answer: Option B
This is a simple alternating addition and subtraction series. The first ser... | Question: In a class, the average age of 45 boys is 10 years and the average of 15 girls is 10 years. what is the average age of the whole class?
Options:
(A) 12 Years
(B) 12.3 Years
(C) 10 Years
(D) 13 Years
(E) 15 Years | 1 | CoT | stream_aqua_ii | fs_opt |
Answer: (B)
Question: 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%
[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]
Answer... | Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 2560
(B) 3400
(C) 3690
(D) 4500
(E) 5184
[CoT]: [Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62] | 5 | CoT | stream_aqua_ii | fs_opt |
Reasoning: 8/12 + 6/x = 1
X = 18 days
Ans: (A)
Question: A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
Options:
(A) 28 days
(B) 76 days
(C) 16 days
(D) 18 days
(E) 19 days
Rationale: C
23
This is... | Question: Some persons can do a piece of work in 20 days. Two times the number of these people will do half of that work in?
Options:
(A) 3
(B) 4
(C) 5
(D) 6
(E) 8 | 0 | CoT | stream_aqua_ii | fs_opt |
Reasoning: 2/10*1/6*(total) = 5
1/30*(total) = 5
(total) = 5*30 = 150
Ans: (E)
Question: Twenty 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 $5 million from its orange exports, how much money does it generate from... | Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 5 years the amount to be paid is?
Options:
(A) 3377
(B) 2688
(C) 2688
(D) 9125
(E) 1268 | 0 | CoT | stream_aqua_ii | fs_opt |
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