mathewhe/aqua_rat huggingface dataset:
Question: " I am eight times as old as you were when I was as old as you are " , said a man to his son. Find out their present ages if the sum of the their ages is 75 years.
(A) 23
(B) 24
(C) 25
(D) 26
(E) 27
Rationale: present age of boy x and previous age of boy y
so present age of dad : 8y and previous age is x
so the gap between duration must be same
so 8y-x=x-y --> x=9y/2
and x+8y = 75 (given) --> 9y/2 + y=75 so y=6 and and x=27
therefore fathers age is 8y = 8*6 = 48
and child's age = x=27
ANSWER:E
Answer: (E) 27
Question: Merry has only pennies, dimes, and nickels in a jar. The jar has at least 1 but no more than 4 pennies. If the jar has at least 1 nickel and 1 dime, which of the following could NOT be the total amount of money in the jar?
(A) 55
(B) 56
(C) 57
(D) 58
(E) 59
Rationale: Let there be a pennies , b nickels and c dimes
so total amount can be 1+5b+10c cents to 4+5b+10c
as you can see the equation of total whenever divided by 5 would leave a remainder from 1 to 4 ( as pennies can only be from 1 to 4 and hence a is limited to values from 1 to 4)
So the total can never be divisible by 5 and hence only 55 that is c is the option which is divisible by 5.
so answer is A
Answer: (A) 55
Question: an article with cost price of 320 is sold at 18% profit. what is the selling price?
(A) 198
(B) 200
(C) 204
(D) 378
(E) 347
Rationale: sp=1.18*320=378
ANSWER:D
Answer: (D) 378
Question: The area of a rectangular plot is 460460 square metres. If the length is 15%15% more than the breadth, what is the breadth of the plot?
(A) 14 metres
(B) 20 metres
(C) 18 metres
(D) 12metres
(E) 16 metres
Rationale: Explanation:
length 115% of breadth.
length×breadth =460 m2
⇒ 115% of breadth×breadth =460 m2
⇒ 115/100×breadth×breadth =460 m2
⇒ breadth×breadth =400 m2
⇒ breadth =20 m
Answer: Option B
Answer: (B) 20 metres
Question: A reading list for a certain course consists of 10 books, of which 7 are poems and the rest are novels. Each student is required to read a selection of 4 books from the list, including at most 2 novels. How many selections of 4 books satisfy the requirements?
(A) 90
(B) 115
(C) 130
(D) 144
(E) 175
Rationale: Ans: B
Solution: Selection requires at most 2 novels, means=
0N4P + 1N3P + 2N2P
7c1*3c3+ 7c2*3c2 + 7c3*3c1
= 7+ 63 + 105
= 175
Ans: E
Answer: (E) 175
Question: In a survey conducted to find out the readership of three Newspapers A,B and C, it was found that the number of newspaper A is at least 20 and at most 40. The number of people who read newspaper B is at least 50 and at most 70. The number of people who read newspaper C is at least 70 and at most 83. It was also found that 4 people read all three newspapers. Find the minimum number of people who read both A and B but not C.
(A) A)1
(B) B)2
(C) C)3
(D) D)0
(E) E)5
Rationale: I wish I could draw a diagram to show you but by giving you number A and B, it might help a little.
A and B and C is 4 - that means A and B is at least 4. This seems trivial given the value intervals of A and B but definitely helps to think through how to minimize A and B but not C
A and B but not C = |A|-|B| - 4
So i would pick A=20 and B =50 to minimize the value to a 2. (ANS B)
Answer: (B) B)2
Question: Ramesh can finish a work in 20 days and Sushil in 25 days. They both work together for 5 days and then Sushil goes away. In how many days will Ramesh complete the remaining work?
(A) 22 days
(B) 68 days
(C) 77 days
(D) eleven days
(E) 88 days
Rationale: (5 + x)/20 + 5 / 25 = 1 => x = 11 days
Answer: D
Answer: (D) eleven days
Question: Analysis of the various vehicle prices in a car dealership shop revealed that :
I) trucks cost 12% less than SUVs
II) Minivans cost 20% less than trucks
III) sedans cost 8% less than minivans
what percent of SUV's cost is a sedan?
(A) 88.9%
(B) 90%
(C) 66.24%
(D) 70.3%
(E) 78.8%
Rationale: Let the cost of suv be $100
I) trucks cost 10% less than SUVs--100-10=90
II) Minivans cost 20% less than trucks--90-18=72
III) sedans cost 8% less than minivans--72-5.76=66.24
what percent of SUV's cost is a sedan=66.24*100/100
Answer is C
Answer: (C) 66.24%
Question: The expression mn+m is odd when the m and n are integers. Which of the following expressions must be even?
(A) m
(B) n
(C) m + n
(D) mn - m
(E) m + n^2
Rationale: mn+m is odd
m and n are integers
If m were even mn+m would be even despite any value of n.
n can't be odd, so n must be even.
Ans : B
Answer: (B) n
Question: A train passes a man standing on the platform. If the train is 70 meters long and its speed is 72 kmph, how much time it took in doing so?
(A) 6 ½ sec
(B) 4 ½ sec
(C) 3 ½ sec
(D) 8 ½ sec
(E) 2 ½ sec
Rationale: D = 70
S = 72 * 5/18 = 20 mps
T = 70/20 = 3 ½ sec
Answer: C
Answer: (C) 3 ½ sec
Question: What is the least number of digits (including repetitions) needed to express 10^500 in decimal notation?
(A) a) 4
(B) b) 100
(C) c) 101
(D) d) 501
(E) e) 1001
Rationale: 10^n is a decimal number with a 1 followed by n zeros.
So 10^500 will include 500 0's + 1 digit for 1 = 501
So the answer is D.
Answer: (D) d) 501
Question: A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?
(A) 99%
(B) 3%
(C) 2%
(D) 4%
(E) 8%
Rationale: SP of first article = 1000
Profit = 20%
CP = (SP)*[100/(100+P)] = 5000/6 = 2500/3
SP of second article = 1000
Loss = 20%
CP = (SP)*[100/(100-L)] = 5000/4 = 1250
Total SP = 2000
Total CP = 2500/3 + 1250 = 6250/3
CP is more than SP, he makes a loss.
Loss = CP-SP = (6250/3)- 2000 = 250/3
Loss Percent = [(250/3)/(6250/3)]*100
=0.04 * 100
= 4%
Answer:D
Answer: (D) 4%
Question: Set X consists of the integers from 1 to 12, inclusive, while set Y consists of the integers from 0 to 20, inclusive. How many distinct integers do belong to the both sets at the same time?
(A) 12
(B) 15
(C) 10
(D) 20
(E) 8
Rationale: X= {1,2,3,4, 5,6, 7, 8, 9, 10, 11, 12}
Y = {0,1,2,3,4,5,6, 7, 8, 9, 10,11,12,13,14,15,16,17,18,19,20}
Common elements = {1,2,3,4,5,6,7,8,9,10,11,12} = 12 elements
Answer: Option A.
Answer: (A) 12
Question: A man can row at 5 kmph in still water. If the velocity of the current is 1 kmph and it takes him 1 hour to row to a place and come back. how far is that place.
(A) .4 km
(B) 1.4 km
(C) 2.4 km
(D) 3.4 km
(E) None of these
Rationale: Explanation:
Let the distance is x km
Rate downstream = 5 + 1 = 6 kmph
Rate upstream = 5 - 1 = 4 kmph
then
x/6 + x/4 = 1 [because distance/speed = time]
=> 2x + 3x = 12
=> x = 12/5 = 2.4 km
Option C
Answer: (C) 2.4 km
Question: An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
(A) 16 2/7%
(B) 16 2/2%
(C) 16 3/3%
(D) 16 2/3%
(E) 13 2/3%
Rationale: 600 ---- 100
100 ---- ? =>
16 2/3%
Answer:D
Answer: (D) 16 2/3%
Question: Bruno and Sacha are running in the same direction around a stadium. Sacha runs at a constant speed of 10 meters per second, and Bruno runs at a constant speed of 5 meters per second. At a certain point Sacha overtakes Bruno. If one minute afterward, Sacha stops and waits for Bruno to reach him, then how many seconds does he have to wait?
(A) 12
(B) 24
(C) 36
(D) 60
(E) 72
Rationale: the difference of the speed is 5m per second so in one minute Sacha will be 300 m ahead of Bruno..
Bruno will cover this in 300/5=60 secs..
D
Answer: (D) 60
Question: A student worked for 20 days. For each of the amounts shown in the first row of the table, the second row gives the number of days that the student earned that amount. What is the amount of money that the student earned per day for the 20th day?
Amounts earned per day : $96 $84 $80 $70 $48
Number of days : 4 7 4 3 2
(A) (1) $96
(B) (2) $84
(C) (3) $80
(D) (4) $70
(E) (5) $48
Rationale: 4+7+4+3+2 = 20
The series is as follows. Arrange the terms in increasing order of amounts earned and cumulatively add up the number of days of each amount.
1st to 2nd term = 48 (2 days)
3rd to 5th term = 70 (3 days)
6th to 9th term = 80 (4 days)
10th to 16th term = 84 (7 days)
17th to 20th term = 96 (4 days)
Pick A
Answer: (A) (1) $96
Question: Joan and Karl each bought a stove and the sum of their purchases was $700. If twice of what Joan paid was $80 more than what Karl paid, what did Joan pay for her stove?
(A) $240
(B) $260
(C) $280
(D) $300
(E) $320
Rationale: J+K=700 so K=700-J
2J=K+80
2J=(700-J)+80
3J=780
J=260
The answer is B.
Answer: (B) $260
Question: How many ways are there for 2 males and 3 females to sit (around a circular table) if no male should sit next to a male (and no female next to female) and Mary wants to sit with her back on the wall?
(A) 6
(B) 12
(C) 72
(D) 4
(E) 720
Rationale: So Mary has her own chair, fixed position. Other two females around the table can sit in 2 ways: the first to the left of Mary and the second to the right or vise-versa. Now, if 2 males will sit between them then no two female or two male will sit next to each other (female-male-female-male-female-male). But these males on their spots can also sit in different ways, namely in 2! different ways, so total 2*2!=4
Answer D.
Answer: (D) 4
Question: Becky sets up a hot dog stand in her busy neighborhood and purchases x pounds of hot dogs for r dollars per pound. If she has to throw away s pounds of hot dogs due to spoilage and she sells the rest of the hot dogs for d dollars per pound, which of the following represents the net profit on the sale of the hot dogs?
(A) (x – s)r – sd
(B) xr – (xd – sd)
(C) xd – sr
(D) (x – s)d – xr
(E) (s – r)d – xr
Rationale: Answer D:
The amount of hotdogs she can sell is x-s. The price per pound is d, so the revenue is (x-s)d. The total costs are x time r, so the profit is (x-s)d-xr.
Answer: (D) (x – s)d – xr
Question: What is the value of 4^6+4^8?
(A)  4^12
(B)  4^35
(C)  17(4^6)
(D)  8^12
(E)  7(4^5)
Rationale: 4^6+4^8
=4^6(1+4^2)
=4^6 * 17
Answer C
Answer: (C)  17(4^6)
Question: At Company X, senior sales representatives visit the home office once every 16 days, and junior sales representatives visit the home office once every 12 days. The number of visits that a junior sales representative makes in a 2-year period is approximately what percent greater than the number of visits that a senior representative makes in the same period?
(A) 10%
(B) 25%
(C) 33%
(D) 50%
(E) 67%
Rationale: Each 48-day period, senior representatives visit the home office 3 times while junior representatives visit 4 times, thus 33% more.
The answer is C.
Answer: (C) 33%
Question: Which of the following values of x will satisfy the in equality 2x2 – 7x < 15?
(A) -3⁄2 < x < 5
(B) x > 5 or x < -3⁄2
(C) x< 5 and x < -3⁄2
(D) x > -3⁄2 and x > 5
(E) None of these
Rationale: 2x2 – 7x < 15
or, 2x2 – 7x – 15 < 0
or, 2x2 – 10x + 3x – 15 < 0
or, 2x(x – 5) + 3(x – 5) < 0
or, (x – 5)(2x + 3) < 0
----------|--------------------|--------
+ve -3⁄2 –ve 5 +ve
-3⁄2 < x < 5
Answer A
Answer: (A) -3⁄2 < x < 5
Question: The speed at which a man can row a boat in still water is 20 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
(A) 16 seconds
(B) 76 seconds
(C) 26 seconds
(D) 9.4 seconds
(E) 18 seconds
Rationale: Speed of the boat downstream = 20 + 3
= 23 kmph
= 23 * 5/18 = 115/18 m/s
Hence time taken to cover 60 m
= 60*18/115
= 9.4 seconds.
Answer: D
Answer: (D) 9.4 seconds
Question: If n is an integer greater than 6, which of the following must be divisible by 4?
(A) 1. n (n+1) (n-4)
(B) 2. n (n+2) (n-1)
(C) 3. n (n+3) (n-5)
(D) 4. n (n+4) (n-2)
(E) 5. n (n+5) (n-6)
Rationale: We need to find out the number which is divisible by three,
In every 3 consecutive integers, there must contain 1 multiple of 3.
So n+4 and n+1 are same if we need to find out the 3's multiple. replace all the numbers which are more than or equal to three
1. n (n+1) (n-4) = > n(n+1)(n-1) = > (n-1)n(n+1)
2. n (n+2) (n-1) = > n(n+2)(n-1) = > (n-1)n(n+1)
3. n (n+3) (n-5) = > n(n+0)(n-2) = > (n-2)n(n)
4. n (n+4) (n-2) = > n(n+1)(n-2) = > (n-2)n(n+1)
5. n (n+5) (n-6) = > n(n+2)(n-0) = > (n)n(n+2)
from the above onlyoption Ais product of consecutive three numbers.
B
Answer: (B) 2. n (n+2) (n-1)
Question: The average monthly expenditure of a family for the first four months is Rs 2,750, for the next three months is Rs 2,940 and for the last five months Rs 3,130. If the family saves Rs 5,330 during the whole year, find the average monthly income of the family during the year.
(A) Rs 3,800
(B) Rs 3,500
(C) Rs 3,400
(D) Rs 4,200
(E) None of these
Rationale: Average monthly expenditure of 4 months
= Rs 2,700
Total expenditure for 4 months = Rs 2,700 x 4
= Rs 11,000
Average monthly expenditure of 3 months
= Rs 2,940
Total expenditure of 3 months = Rs 2,940 x 5
= Rs 8,820
Average monthly expenditure of 5 months
= Rs 3,130
Total expenditure of 5 months = Rs 31,020
= Rs 1,560
Total expenditure in the whole year
= Rs 11,000 + 8,820 - Rs 15,650 = Rs 35,470.
Saving during the whole year = Rs 5,330.
Total income of the family during the year= Rs 35,470 + Rs 5,330 = Rs 40,800.
Therefore, Average monthly income during the year 40800/12 = Rs 3,400.
ANSWER:C
Answer: (C) Rs 3,400
Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
(A) 27 sec
(B) 16 sec
(C) 56 sec
(D) 15 sec
(E) 12 sec
Rationale: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 280 * 2/35
= 16 sec
AnswerB
Answer: (B) 16 sec
Question: If 36 men can do a piece of work in 25 hours, in how many hours will 11 men
do it ?
(A) 65 hours
(B) 82 hours
(C) 30 hours
(D) 62 hours
(E) 66 hours
Rationale: Let the required number of hours be x. Then,
Less men, More hours	(Indirect Proportion)
11 : 36 : : 25 : x	(11 x x) = (36 x 25)	(36 x 25)/11 = 82
Hence, 15 men can do it in 60 hours.
Answer is B.
Answer: (B) 82 hours
Question: which number need to add to 859622 to get a no. exactly divisible by 456?
(A) 345466
(B) 465767
(C) 565676
(D) 645469
(E) 859622
Rationale: Dividend = Quotient * Divisor + Reminder
859622 / 456 gives quotient = 1885 and reminder = 62.
So, the next number divisible by 456 is 456 places infront of 456 * 1885
Which means 456 – 62 = 394 should be added to 859622.
E
Answer: (E) 859622
Question: If c is a positive even integer, and n and m are consecutive integers, then (n - m)^c/(m - n)^c =
(A) -2
(B) -1
(C) 0
(D) 1
(E) 2
Rationale: c= +ve even integer
Since,n and m are consecutive integers , their difference will be 1
((n-m)^c)/((m-n)^c)= ((n-m)/(m-n))^c = (-1)^c
Since we are raising the difference of n and m to power c , which is even , the answer will be 1 .
Answer D
Answer: (D) 1
Question: P and Q started a business investing Rs 85000 and Rs 15000 resp. In what ratio the profit earned after 2 years be divided between P and Q respectively.
(A) 17:5
(B) 17:3
(C) 17:6
(D) 17:7
(E) 17:8
Rationale: Explanation:
In this type of question as time frame for both investors is equal then just get the ratio of their investments.
P:Q = 85000:15000
= 85:15
= 17:3
Option B
Answer: (B) 17:3
Question: On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price R per glass on the second day?
(A)  $015
(B)  $0.20
(C)  $0.30
(D)  $0.40
(E)  $0.45
Rationale: On the first day 1 unit of orange juice and 1 unit of water was used to make 2 units of orangeade;
On the second day 1 unit of orange juice and 2 units of water was used to make 3 units of orangeade;
So, the ratio of the amount of orangeade made on the first day to the amount of orangeade made on the second day is 2 to 3. Naturally the ratio of the # of glasses of orangeade made on the first day to the # of glasses of orangeade made on the second day is 2 to 3.
We are told thatthe revenue from selling the orangeade was the same for both daysso the revenue from 2 glasses on the first day equals to the revenue from 3 glasses on the second day.
Say the price of the glass of the orangeade on the second day was $x then 2*0.6=3*x --> x=$0.4.
Answer: D.
Answer: (D)  $0.40
Question: A and B started a partnership business investing Rs. 20,000 and Rs. 15,000 respectively. C joined them with Rs. 20,000 after six months. Calculate B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
(A) 5500
(B) 6500
(C) 7000
(D) 7700
(E) 7500
Rationale: A : B : C
=20000×24:15000×24:20000×18
=20×4:15×4:20×3=4×4:3×4:4×3
=4:3:3
B's share = 25000×3/10=7500
Answer is E.
Answer: (E) 7500
Question: A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 750 grams. Find the profit percent.
(A) 100/17%
(B) 100/23%
(C) 100/19%
(D) 100/3%
(E) None of these
Rationale: Explanation:
(100 + g) / (100 + x) = True measure / Faulty measure
x = 0
true measure = 1000
faulty measure = 750
100 + g / 100 + 0 = 1000 / 750
100+g = 4/3*100
g = 100/3 %
ANSWER: D
Answer: (D) 100/3%
Question: A student answered 86 problems on a test correctly and
received a grade 98%. How many problems were on the test,
if all the problems were worth the same number of points?
(Round to the nearest whole number)
(A) 48 problems
(B) 28 problems
(C) 68 problems
(D) 58 problems
(E) 88 problems
Rationale: 98/100=86/x
Multiply the opposites:
100 x 86 = 8600
Divide by the remaining number:
87.7/8600 .0
98
88 problems (rounded to nearest whole)
correct answer E
Answer: (E) 88 problems
Question: A can work three times as fast as B. Together they can finish a job in 24 days. In how many days can A complete the job alone?
(A) 28
(B) 30
(C) 32
(D) 34
(E) 36
Rationale: B's rate is x and A's rate is 3x.
x + 3x = 1/24
x = 1/96
A's rate is 3x = 1/32
A can complete the job in 32 days.
The answer is C.
Answer: (C) 32
Question: If two numbers are in the ratio 2:3. If 5 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number?
(A) A)10
(B) B)18
(C) C)20
(D) D)24
(E) E)26
Rationale: 2:3
2x + 5 : 3x + 5 = 3 : 4
4[2x + 5] = 3[3x + 5]
8x + 20 = 9x + 15
9x - 8x = 20 - 15
x = 5
Then smallest number is = 2
2x = 10
Correct Option A
Answer: (A) A)10
Question: 6.513/10.02 =
(A)  0.35
(B)  0.3505
(C)  0.3509
(D)  0.65
(E)  0.3527
Rationale: 6.513 / 10.02
6.513 / 1002 = 6.5
move the comma two places to the left as we have 2 decimal places from the divisor: 0.65. Answer: D
Answer: (D)  0.65
Question: When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 12-inch boxes. If the university pays $0.40 for every box, and if the university needs 2.16 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?
(A) $120
(B) $180
(C) $310
(D) $450
(E) $640
Rationale: The volume of each box is 20*20*12 = 4800 cubic inches.
Number of boxes = 2,160,000/4800 = 450 boxes
Total cost = 450×$0.4=$180
The answer is B.
Answer: (B) $180
Question: A sum fetched a total simple interest of Rs. 4016.25 at the rate of 3% p.a. in 5 years. What is the sum?
(A) 26775
(B) 28772
(C) 28821
(D) 89255
(E) 28871
Rationale: Principal = (100 * 4016.25) / (3 * 5)
= Rs.26775.
Answer:A
Answer: (A) 26775
Question: A company uses 5 pizza machines to produce 500 pizzas in a day. They buy 2 more new machines that can produce 20% more. How many pizzas in all can be produced for 5 days?
(A) 1,100
(B) 4,000
(C) 3,000
(D) 5,500
(E) 2,500
Rationale: Old machines produce 500*5= 2,500
New machines produce 1.20*2,500= 3,000
In all 2,500 + 3,000 = 5,500 pizzas an be produced.
Answer D.
Answer: (D) 5,500
Question: If x and y are prime numbers, which of the following CANNOT be the sum of x and y?
(A) 5
(B) 9
(C) 13
(D) 16
(E) 23
Rationale: All answer choices but D are odd. In order odd number to be the sum of two prime numbers one must be even, so 2, and another odd.
Now, 23=2+21. Since 21 is not a prime then 23 cannot be written as the sum of two prime numbers.
Answer: E.
Answer: (E) 23
Question: A and B entered into a partnership investing Rs.25000 and Rs.30000 respectively. After 4 months C also joined the business with an investment of Rs.35000. What is the share of C in an annual profit of Rs.47000?
(A) 23772
(B) 14988
(C) 12778
(D) 14000
(E) 27191
Rationale: Explanation:
25*12: 30*12: 35*8
15:18:14
14/47 * 47000 = 14000
Answer: D
Answer: (D) 14000
Question: What is the area of square field whose side of length 5 m?
(A) 80 sq m
(B) 26 sq m
(C) 25 sq m
(D) 45 sq m
(E) 96 sq m
Rationale: 5 * 5
= 25 sq m
Answer: C
Answer: (C) 25 sq m
Question: What is the smallest positive integer K such that the product of 1575 x K is a perfect square?
(A) 7
(B) 9
(C) 15
(D) 25
(E) 63
Rationale: perfect square, is just an integer that can be written as the square of some other integer. For example 16=4^2, is a perfect square.
Now, 1575 = 3^2 * 5^2 * 7, so if k=7 then 1575 k = (3 * 5 * 7)^2, which is a perfect square (basically the least positive value of k must complete only the power of 7 to even power as powers of other primes are already even).
Answer: A.
Answer: (A) 7
Question: What will come in place of the x in the following Number series? 5,28,57,88,125,166,209
(A) 156
(B) 159
(C) 166
(D) 170
(E) 256
Rationale: 28=23+5
57=29+28
88=31+57
125=37+88
166=41+125
209=43+166
256=47+ 209
=256
E
Answer: (E) 256
Question: Twenty four men can do a work in 35 days. How many men are required to complete the work in 21 days?
(A) 22
(B) 40
(C) 277
(D) 26
(E) 12
Rationale: We have M1 D1 = M2 D2
So, 24 * 35 = M2 * 21 => M2 = 40.
Answer:B
Answer: (B) 40
Question: A train 125 m long passes a man, running at 8 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
(A) 11
(B) 50
(C) 88
(D) 53
(E) 22
Rationale: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr
= 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 8) km/hr. x - 8 = 45 ==> x
= 53 km/hr.
Answer:D
Answer: (D) 53
Question: Convert 100 inches into centimeter?
(A) 112cm
(B) 120cm
(C) 150cm
(D) 210cm
(E) 254cm
Rationale: 1 inch = 2.54cm
100 inches = 100*2.54 = 254cm
Answer is E
Answer: (E) 254cm
Question: Two trains are moving in the same direction at 50 km/hr and 30 km/hr. The faster train crosses a man in the slower train in 18 seconds. Find the length of faster train.
(A) 1777 meter
(B) 100 meter
(C) 1787 meter
(D) 1768 meter
(E) 8167 meter
Rationale: ANSWER: B
Answer: (B) 100 meter
Question: How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
(A) 65 sec
(B) 88 sec
(C) 25 sec
(D) 88 sec
(E) 55 sec
Rationale: D = 100 + 150 = 250
S = 36 * 5/18 = 10 mps
T = 250/10 = 25 sec
Answer: C
Answer: (C) 25 sec
Question: Working individually, Julie can peel potatoes in 10 hours and Ted can peel potatoes in 8 hours. If Julie and Ted work together but independently at the task for 4 hours, at which point Ted leaves, how many remaining hours will it take Julie to complete the task alone?
(A) 3/15
(B) 2/11
(C) 1/4
(D) 1/3
(E) 1
Rationale: In first 4 hrs Ted will finish 4/8 = 1/2 of work and Julie will finish 4/10 work so total 1/2 + 2/5 = 9/10 work is finished and
1-9/10 = 1/10 work remaining. Now Julie will take (1/10)*10 = 1 hrs to finish it.
So answer is E.
Answer: (E) 1
Question: In a School, 93 percent of students like vegetarian, 95 percent of students like Non-veg, 89 percent likes fast food and 91 percent likes Chines food.
Can you find out the percentage of students who like all 4 food variety?
(A) 50%
(B) 65%
(C) 75%
(D) 88%
(E) 68%
Rationale: E
68% of student study all four subjects.
Answer: (E) 68%
Question: By selling 150 mangoes, a fruit-seller gains the selling price of 25 mangoes. Find the gain percent?
(A) 27%
(B) 25%
(C) 21%
(D) 20%
(E) 24%
Rationale: SP = CP + g
150 SP = 150 CP + 25 SP
125 SP = 150 CP
125 --- 25 CP
100 --- ? => 20%
Answer:D
Answer: (D) 20%