mathewhe/aqua_rat huggingface dataset:
Question: Ramesh can finish a piece of work in 10 days. Rohan is twice as efficient as Ramesh.If they work together how many days will they need to finish the same amount of work?
(A) 8/3 days
(B) 9/3 days
(C) 10/3 days
(D) 11/3 days
(E) 7/3 days
Rationale: Ramesh can finish a piece of work in 10 days. Rohan is twice as efficient as Ramesh.
So Rohan can finish a piece of work in 5 days.
days needed to finish the same amount of work = 1/(1/5+1/10)=10/3 days
ANSWER:C
Answer: (C) 10/3 days
Question: A boat crossed a lake from North to South at the speed of 4 km/h, entered a river and covered twice as much distance going upstream at 3 km/h. It then turned around and stopped at the south shore of the lake. If it averaged 3.2 km/h that day, what was its approximate downstream speed?
(A) 3
(B) 5
(C) 6
(D) 7
(E) 8
Rationale: Another way will be:
Total time for the trip = distance covered in Lake/speed in still water +distance covered upstream/upstream speed + distance covered downstream/downstream speed
If 5D is the total distance, then distance covered in lake = D, distance covered upstream = 2D and distance covered downstream = 2D
=>5D/3.2 = D/4 + 2D/3 + 2D/x (where x is the downstream speed)
=> 5/3.2 = 1/4 + 2/3 +2/x (div. both sides by D)
=> 1.56 = .25+.66 +.65/x => x=3.09 ~ 3
option A
Answer: (A) 3
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?
(A) 80,70 kmph
(B) 80,40 kmph
(C) 10,40 kmph
(D) 80,80 kmph
(E) 84,40 kmph
Rationale: Speed downstream = 60 + 20
= 80 kmph
Speed upstream = 60 - 20
= 40 kmph
Answer: B
Answer: (B) 80,40 kmph
Question: There are 6 gentlemen and 4 ladies to dine at a round table. In how many ways can they seat themselves so that no two ladies are seated together.
(A) 14400
(B) 36400
(C) 86400
(D) 65600
(E) 88600
Rationale: First arrange the Gents. This is a circular arrangment. 6 Gents can be arranged in 5! ways.
Now there are5 spaces (space in between two gents) and we have to seat 4 ladies there.
First select 4 places out of 5 available places. can be done in 5C4 ways. Then arrange 4 Ladiess there in 4! ways.
Total: 5!*5C4*4! = 14400
A is the answer.
Answer: (A) 14400
Question: How many times are the hands of a clock at right angles in a day?
(A) 42
(B) 44
(C) 49
(D) 41
(E) 47
Rationale: In 12 hours, they are at right angles 22 times.
==> In 24 hours, they are at right angles 44 times.
Answer is B.
Answer: (B) 44
Question: The function f(Y) represents the number of ways that prime numbers can be uniquely summed to form a certain number Y such that Y = a + b + c + d… where those summed variables are each prime and a ≤ b ≤ c ≤ d ... For instance f(8) = 3 and the unique ways are 2 + 2 + 2 + 2 and 2 + 3 + 3 and 3 + 5. What is f(12)?
(A) 4
(B) 5
(C) 6
(D) 7
(E) 8
Rationale: It is so better to start with 2 and check whether sum of two primes is primes is even.
1) 2(6 times)
2) 2(3 times) + 3(2 times)
3) 2(2 times) + 3 + 5
4) 2 + 3 + 7
5) 2 + 5 + 5
6) 3(4 times)
7) 5 + 7
Answer: D
Answer: (D) 7
Question: In what time will Rs.4400 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest?
(A) 7 4/3
(B) 7 4/6
(C) 7 4/7
(D) 7 1/2
(E) 7 1/5
Rationale: (4400*3*R)/100 = (5000*5*4)/100
R = 7 4/7
Answer: C
Answer: (C) 7 4/7
Question: 1,257
1,275
1,527
........
........
+7,521
The addition problem above shows four of the 24 different integers that can be formed by using each of the digits 1,2,5 and 7 exactly once in each integer. What is the sum T of the 24 integers ?
(A)  26,996
(B)  44,406
(C)  60,444
(D)  66,660
(E)  99,990
Rationale: This is the way i solved it :
Total no. of different combos = 24, total digits 4 therefore each digit must repeat 24/4 = 6 times in each row .. So the right most row would add up to 1x6 + 2x6 + 5x6 + 7x6 = 6+12+30+42 = 90 .. Each row would add up to 90, so 90 in the first means we have 9 that carries over and we get 0 , the second time its 90+9 and 9 stays and one 9 goes to the row to the left, so the last two digits of the SUM T should be 90 (E) .. We could go on and solve the exact number but since only one answer choice has the last digits as 90 we needn't go any further..
Answer: (E)  99,990
Question: In Josephs convent school,80% are boys at the same time 75% are girls students.If 88% are boys students then, what is percentage of the girls students in the particular school?
(A) 54
(B) 41
(C) 50
(D) 39
(E) 63
Rationale: Percentage of boys students = 80%; Percentage of girls students = 70% (ie) 0.75; Total = 0.7*100; Percentage of boys students = 88-80 = 8; Percentage of girls students =100-70 =30; So total Percentage of girls students =0.70*30=21;
Total Percentage of girls students = 30+21=41 Answer: B
Answer: (B) 41
Question: A can have a piece of work done in 10 days, B can work two times faster than the A, C can work three times faster than A. How many days will they take to do the work together ?
(A) 3/5 days
(B) 5/2 days
(C) 4/3 days
(D) can't say
(E) none
Rationale: A's 1 day work is 1/15
B's 1 day work is 2/15
C's 1 day work is 3/15
(A+B+C)'s 1 day work(1/15+2/15+3/15) is 2/5
so, they can finish the work in 5/2 days
ANSWER:B
Answer: (B) 5/2 days
Question: A card player is dealt a poker hand of 5 cards. Considering that there are 12 face cards and 40 other cards in a deck of cards, how many hands are there in which the player will be dealt 2 face cards and 3 other cards?
(A) 410,860
(B) 580,420
(C) 652,080
(D) 712,600
(E) 880,420
Rationale: (12c2)*(40c3)
i.e.
[12!/(2!*10!)]*[40!/(3!*37!)]
66*9,880
652,080
C
Answer: (C) 652,080
Question: The ratio of flour to water to sugar in a recipe is 10:6:3. The ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar. If the new recipe calls for 2 cups of water, how much sugar is required?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Rationale: The ratio of flour to water is 10:3.
The ratio of flour to sugar is 5:3=10:6.
The new ratio of flour to water to sugar is 10:3:6
If we need 2 cups of water, then we need 4 cups of sugar.
The answer is B.
Answer: (B) 4
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 20 years now, the son's age five years back was:
(A) 9 years.
(B) 8 years.
(C) 7 years.
(D) 5 years.
(E) 6 years.
Rationale: Let the son's present age be x years. Then, (20- x) = x
2x = 20
x = 10.
Son's age 5 years back (10 - 5) = 5 years.
Answer: Option D
Answer: (D) 5 years.
Question: A and B walk around a circular track. They start at 9 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 10:00 a.m.?
(A) 8
(B) 7
(C) 6
(D) 5
(E) 10
Rationale: Sol.
Relative speed = (2 + 3) = 5 rounds per hour.
So, they cross each other 5 times in an hour and 5 times in NEXT hour.
Hence, they cross each other 10 times before 10:00 a.m.
Answer E
Answer: (E) 10
Question: A rectangular lawn of dimensions 100 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
(A) A)3820
(B) B)930
(C) C)9309
(D) D)4500
(E) E)8302
Rationale: Explanation:
Area = (l + b – d) d
(100 + 60 – 10)10 => 1500 m2
1500 * 3 = Rs.4500
Answer: Option D
Answer: (D) D)4500
Question: For positive integers p and q, which of the following can be written as q^2?
(A) p^2+12
(B) p^2+11
(C) p^2+8
(D) p^2+7
(E) p^2-7
Rationale: Plug values: if p=4, then 4^2-7=9
The question asks which of the following CAN be written as q^2. If p=4, then p^2-7 CAN be written as 3^2.
Answer: E
Answer: (E) p^2-7
Question: Find the compound ratio of (4:3), (1:3) and (2:3) is
(A) 16:27
(B) 12:13
(C) 13:14
(D) 14:15
(E) 31:27
Rationale: Required ratio = 4/3 * 1/3 * 2/3 = 16/27 = 16:27
Answer is A
Answer: (A) 16:27
Question: A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
(A) 77
(B) 88
(C) 72
(D) 66
(E) 12
Rationale: Length = Speed * time
Speed = L/T
S = 400/20
S = 20 M/Sec
Speed= 20*18/5 (To convert M/Sec in to Kmph multiply by 18/5)
Speed = 72 Kmph.Answer:C
Answer: (C) 72
Question: In a game of billiards, A can give B 40 points in 80 and he can give C 70 points in 80. How many points can B give C in a game of 100?
(A) 18
(B) 27
(C) 25
(D) 75
(E) 17
Rationale: A scores 80 while B score 40 and C scores 10.
The number of points that C scores when B scores 100 = (100 * 10)/40 = 25
In a game of 100 points, B gives (100 - 25) = 75 points to C.
Answer: D
Answer: (D) 75
Question: There are 4 children and 3 chairs. In how many ways children can occupy the chairs?
(A) 76
(B) 84
(C) 56
(D) 24
(E) 80
Rationale: total children = 4
total chairs = 3
1st chair can be occupy in 4ways
2nd chair can be occupy in 3ways
3rd chair can be occupy in 2ways
total number of ways = 4*3*2 = 24 ways
correct option is D
Answer: (D) 24
Question: Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
(A) 4:5:6
(B) 3:4:5
(C) 1:2:3
(D) 2:3:4
(E) 3:2:1
Rationale: Originally, let the number of seats for Mathematics, Physics and Biology be 5x, 7x and 8x respectively.
Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x).
= (140/100 x 5x), (150/100 x 7x) and (175/100 x 8x)
= 7x, 21x/2 and 14x.
Therefore, The required ratio = 7x : 21x/2 : 14x
= 14x : 21x : 28x
= 2 : 3 : 4.
Answer is D.
Answer: (D) 2:3:4
Question: What is the least value of x. So that 24x57 is divisible by 3.
(A) 2
(B) 0
(C) 1
(D) 3
(E) 4
Rationale: Explanation:
The sum of the digits of the number is divisible by 3, then the number is divisible by3.
2 + 4 + x + 5 + 7 = 18 + x
Least value of x may be 0
Therefore 18 + 0 = 18 is divisible by 3.
Answer: Option B
Answer: (B) 0
Question: At what rate percent on simple interest will Rs.850 amount to Rs.950 in 5 years?
(A) 2.35%
(B) 5.95%
(C) 4.35%
(D) 5.33%
(E) 6.33%
Rationale: 100 = (850*5*R)/100
R = 2.35%
ANSWER:A
Answer: (A) 2.35%
Question: The work done by a man, a woman and a child is in the ratio of 3:2:1. There are 20 men, 30 women & 48 children in a factory. Their weekly wages amount to Rs.840, which is divided in the ratio of work done by the men, women and children. What will be the wages of 15 men, 21 women & 30 children for 2 weeks?
(A) Rs.1000
(B) Rs.1100
(C) Rs.1170
(D) Rs.1190
(E) Rs.1200
Rationale: sax Ratio of wages of 20 men, 30 women
and 45 chﬂdren perweek
: (3 x 2o):(2 x 30) (1 x 43) 5
Total wages or 20 men per week
= R5 300
Therefore, wages of a man per week : Rs 15,
sirmlarly, wages of woman per week
: Rs 10 and wages ofchwld perweek Rs 5
Total wages of (15 men, 21 women and 30
chﬂdrenj perweek
= 15x15 + 21x10 + 30x5 = 585
Total wages for 2 weeks = Rs.1170
C
Answer: (C) Rs.1170
Question: When x divided by 288, the remainder is 47. Find the remainder when the same x is divided by 24?
(A) 20
(B) 21
(C) 23
(D) 25
(E) 26
Rationale: 23
Option C
Answer: (C) 23
Question: Find the surface area of a 10 cm x 8 cm x 3 cm brick.
(A) 84 cu cm.
(B) 124 cu cm.
(C) 164 cu cm.
(D) 180 cu cm.
(E) 268 cu cm.
Rationale: Sol.
Surface area = [2(10 x 8 + 8 x 3 + 10 x 3)]
= (2 x 134)
= 268 cu cm
Answer E
Answer: (E) 268 cu cm.
Question: The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
(A) 76 kg
(B) 76.5 kg
(C) 85 kg
(D) None of these
(E) Data inadequate
Rationale: Total weight increased = (8 x 2.5) kg = 20 kg.
Weight of new person = (65 + 20) kg = 85 kg.
Answer: Option C
Answer: (C) 85 kg
Question: 34.95 + 240.016 + 23.98 = ?
(A) 298.946
(B) 289.946
(C) 298.964
(D) 298.496
(E) None of them
Rationale: 34.95
240.016
+ 23.98
--------
298.946
Answer is A.
Answer: (A) 298.946
Question: What is the difference between the CI on Rs. 5000 for 1 years at 4% per annum CI yearly and half yearly?
(A) Rs. 2.04
(B) Rs. 2.12
(C) Rs. 2.23
(D) Rs. 3
(E) Rs. 3.04
Rationale: C.I. when interest
compounded yearly
= Rs. 5000 x 1 +	4 x 1 + x 4
100	100
= Rs. 5000 x	26	x	51
25	50
= Rs. 5304.
C.I. when interest is
compounded half-yearly
= Rs. 5000 x 1 +	2 3
100
= Rs. 5000 x	51	x	51	x	51
50	50	50
= Rs. 5306.04
Difference = Rs. (5306.04 - 5304) = Rs. 2.04
A
Answer: (A) Rs. 2.04
Question: Which of the following describes all values of x for which 1–x^2 < 0?
(A)  x > 1
(B)  x < –1
(C)  0 <= x <= 1
(D)  x < –1 or x > 1
(E)  –1 <= x <= 1
Rationale: Which of the following describes all values of x for which 1–x^2 >= 0?
(A) x > 1
Plugged in 2. 1–(2)^2 >= 0 -3>=0? yes. But are these all the values? No. Wrong
(B) x < –1
Plugged in -2. 1–(-2)^2 >= 0 -3>=0? yes. But are these all the values? No. Wrong.
(C) 0 <= x <= 1
Start with 0. 1-0 = 1. Wrong. All the other values wrong as well.
(D) x <= –1 or x >= 1
This is the Correct Answer as it captures both A and B. Answer is D.
(E) –1 <= x <= 1
Plug in 0. Value is greater than 0. Wrong.
Which of the following describes all values of x for which 1–x^2 >= 0?
(A) x >= 1
Plugged in 2. 1–(2)^2 >= 0 -3>=0? yes. But are these all the values? No. Wrong
(B) x <= –1
Plugged in -2. 1–(-2)^2 >= 0 -3>=0? yes. But are these all the values? No. Wrong.
(C) 0 <= x <= 1
Start with 0. 1-0 = 1. Wrong. All the other values wrong as well.
(D) x <= –1 or x >= 1
This is the Correct Answer as it captures both A and B. Answer is C.
(E) –1 <= x <= 1
Plug in 0. Value is greater than 0. Wrong.
Which of the following describes all values of x for which 1–x^2 >= 0?
(A) x >= 1
Plugged in 2. 1–(2)^2 >= 0 -3>=0? yes. But are these all the values? No. Wrong
(B) x <= –1
Plugged in -2. 1–(-2)^2 >= 0 -3>=0? yes. But are these all the values? No. Wrong.
(C) 0 <= x <= 1
Start with 0. 1-0 = 1. Wrong. All the other values wrong as well.
(D) x <= –1 or x >= 1
This is the Correct Answer as it captures both A and B. Answer is C.
(E) –1 <= x <= 1
Plug in 0. Value is greater than 0. Wrong.
Correct Answer is D.
Answer: (D)  x < –1 or x > 1
Question: AV + CD = AAA, where AV and CD are two-digit numbers and AAA is a three digit number; A, V, C, and D are distinct positive integers. In the addition problem above, what is the value of C?
(A)  1
(B)  3
(C)  7
(D)  9
(E)  Cannot be determined
Rationale: Since AV and CD are two-digit integers, their sum can give us only one three digit integer of a kind of AAA: 111.
So, A=1 and we have 1V+CD=111
Now, C can not be less than 9, because no two-digit integer with first digit 1 (1V<20) can be added to two-digit integer less than 90, so that to have the sum 111 (if CD<90, so if C<9, CD+1V<111).
Hence C=9.
Answer: D.
Answer: (D)  9
Question: The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 45. What is the difference between the two digits of that number?
(A) 4
(B) 5
(C) 6
(D) 8
(E) 9
Rationale: Sol.
Let the ten’s digit be x and unit’s digit be y,
Then, (10x + y) - (10y + x) = 45 ⇔ 9 (x - y) = 45
⇔ x - y = 5
Answer B
Answer: (B) 5
Question: How many 4's are there in the following series which are preceded by 7, but are not preceded by 8?
3 4 5 7 4 3 7 4 8 5 4 3 7 4 9 8 4 7 2 7 4 1 3 6
(A) 1
(B) 2
(C) 3
(D) 4
(E) More than four
Rationale: count 1 - - - - - - 7 4 3
count 2------------748
count 3------------749
count 4------------741
ANSWER:D
Answer: (D) 4
Question: The average of seven numbers is 24. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
(A) 27
(B) 29
(C) 31
(D) 34
(E) 69
Rationale: The total of seven numbers = 7X24 = 168
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (168 - 99 ) = 69
E
Answer: (E) 69
Question: Suresh started a business, investing Rs.18000. After 3 months and 4 months respectively, Rohan and Sudhir joined him with capitals of 12000 and 9000. At the end of the year the total profit was Rs.3850. What is the difference between Rohan’s and Sudhir’s share in the profit?
(A) s.345
(B) s.350
(C) s.352
(D) s.362
(E) s.368
Rationale: Suresh : Rohan : Sudhir
Ratio of their investments = 18000 × 12 : 12000 × 9 : 9000 × 8
= 6 : 3: 2
The difference between Rohan’s and Sudhir’s share = 1 share
:.i.e. = Rs. 3850 × 1/11 = Rs.350.
B
Answer: (B) s.350
Question: Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
(A) 128
(B) 150
(C) 882
(D) 272
(E) 121
Rationale: 1/2 * 20(9 + 6) = 150 cm2
Answer: B
Answer: (B) 150
Question: A team of 8 persons joins in a shooting competition. The best marksman scored 85 points. If he had scored 92 points, the average score for the team would have been 84. The number of points, the team scored was :
(A) 665
(B) 376
(C) 998
(D) 1277
(E) 1991
Rationale: Explanation:
Let the total score be x.
(x + 92 - 85) / 8 = 84.
So, x + 7 = 672 => x = 665.
Answer: A) 665
Answer: (A) 665
Question: If e≠f and e·f≠0, which of the following may be true?
(A) e=f
(B) e.f=0
(C) (e+f)(e-f)=0
(D) e^2 = f^2
(E) e^2+f^2 =0
Rationale: except c all conditions are not as per question
C
Answer: (C) (e+f)(e-f)=0
Question: A vendor sells 50 percent of the apples he had and throws away 20 percent of the remainder. The next day, the vendor sells 50 percent of the remaining apples and throws away the rest. In total, what percent of his apples does the vendor throw away?
(A) 30
(B) 35
(C) 40
(D) 45
(E) 50
Rationale: Let x be the original number of apples.
On day one, the vendor throws away (0.2)(0.5)x=0.1x.
The remaining apples are (0.8)(0.5)x = 0.4x.
On day two, the vendor throws away (0.5)(0.4)x=0.2x.
The vendor throws away a total of 0.1x + 0.2x = 0.3x.
The vendor throws away 30 percent of the apples.
The answer is A.
Answer: (A) 30
Question: In what time will a railway train 64 m long moving at the rate of 46 kmph pass a telegraph post on its way?
(A) 3
(B) 5
(C) 4
(D) 6
(E) 7
Rationale: T = 64/46 * 18/5 = 5 sec
Answer:B
Answer: (B) 5
Question: If it takes two teams of factory workers 6 days to complete a task. How many days will it take each team working separately, to complete the same task if it will take one of the teams 3 days earlier to complete the task.
(A) 10 and 15
(B) 5 and 8
(C) 4 and 7
(D) 9 and 12
(E) 3 and 6
Rationale: Work = (A)(B)/(A+B) where A and B are the individual times of each entity.
Here, we're told that (working together) the two teams would complete a job in 6 days. This means that (individually) each team would take MORE than 6 days to do the job.
Answers E, B and C are illogical, since the individual times must both be greater than 6 days.
so we can TEST the values for Answers D and E.
Using the values for Answers D and A, we have...
Answer D: (9)(12)/(9+12) = 108/21 = 5.14 This is NOT a match
Answer A: (10)(15)/(10+115) = 150/25 = 6 This IS a match
Final Answer:
A
Answer: (A) 10 and 15
Question: A fair price shopkeeper takes 10% profit on his goods. He lost 60% goods during theft. His loss percent is:
(A) 72%
(B) 42%
(C) 56%
(D) 12%
(E) 22%
Rationale: Explanation:
Suppose he has 100 items. Let C.P. of each item be Re. 1.
Total cost = Rs. 100. Number of items left after theft = 40.
S.P. of each item = Rs. 1.10
Total sale = 1.10 * 40 = Rs. 44
Hence, loss % = 56/100 * 100 = 56%
Answer:C
Answer: (C) 56%
Question: If green means red, red means yellow, yellow means blue, blue means orange and orange means green, what is the colour of blood ?
(A) Blue
(B) Red
(C) Yellow
(D) Green
(E) Pink
Rationale: Explanation:
The colour of blood is 'red' and as given 'green' means 'red'.
so, the colour of blood is 'green'.
Answer: D
Answer: (D) Green
Question: For which of the following functions f is f(z) = f(1-z) for all z?
(A) f (x) = 1 - x
(B) f (z) = 1 - z^2
(C) f (z) = z^2 - (1 - z)^2
(D) f (z) = z^2*(1 - z)^2
(E) f (x) = x/(1 - x)
Rationale: I remember seeing this problem in a GMATprep test. I think choice D should be F(z)=(z^2) (1-z)^2. If that is true then substituting (1-z) for will give us the same function back and the answer choice is D, where the function is multiplicative
Answer: (D) f (z) = z^2*(1 - z)^2
Question: Which is a better investment 8% stock at 212 or 6 2/3 stock at 350?
(A) 8% stock at 212
(B) 6 2/3 stock at 350
(C) None
(D) Both are equally good
(E) Cannot be compared, as the total amount of investment is not given
Rationale: Let investment in each case be Rs. (212 x 350).
Income in 1st case = Rs. 8 x 212 x 212/350= Rs. 1027.29.
Income in 2nd case = Rs.20 x 212 x 350/(3*350)= Rs. 1413.3
Clearly, 6 2/3 stock at 350 is better.
ANSWER:B
Answer: (B) 6 2/3 stock at 350
Question: If 24 men working for 12 hrs a day can do a work in 16 days, in how many days can 8 men working 6 hrs a day do it?
(A) 12 days
(B) 24 days
(C) 36 days
(D) 96 days
(E) None of these
Rationale: Explanation :
24 men 12 hrs 16 days
8 men 6 hrs ? days (n)
n =16 X (12 / 6) X (24 / 8) ( since no of hrs reduced no of days has to increase and no of men reduced also increases no of days i.e., inverse proportional)
=> n = 96 days.
Answer : D
Answer: (D) 96 days
Question: A train running at the speed of 80 km/hr crosses a pole in 10 seconds. What is the length of the train?
(A) 450 m
(B) 350 m
(C) 150 m
(D) 250 m
(E) 240 m
Rationale: Speed=(90* 5/18) m/sec =25 m/sec Length of the train = (Speed x Time) = (25* 10) m = 250 m. Answer: D
Answer: (D) 250 m
Question: A truck carrying cans of paint contains P stacks. Each stack contains P/4 cases, and each case contains 2P cans. How many cans of paint are contained in 8 trucks?
(A) 4P
(B) 4P^3
(C) P^2/8
(D) P^3/4
(E) 2P^3
Rationale: There are 2P cans in each case.
There are P^2/2 cans in each stack.
There are P^3/2 cans in each truck.
There are 4P^3 cans in 8 trucks.
The answer is B.
Answer: (B) 4P^3
Question: If on an item a company gives 25% discount, they earn 25% profit.If they now give 10% discount then what is the profit?
(A) 30
(B) 40
(C) 50
(D) 60
(E) 70
Rationale: let market price =100
then sp=75
but they earn 25% so= (100/125)*75
= 60
so cp=60
now again 10% discount on 100=90
so profit is =90-60
=30
ANSWER:A
Answer: (A) 30
Question: An amount of Rs.40,000 is to be distributed amongst P, Q, R and S such that “P” gets twice as that of “Q” and “S” gets four times as that of “R”. If “Q” and “R” are to receive equal amount, what is the difference between the amounts received by S and P?
(A) 2378
(B) 2697
(C) 10000
(D) 5000
(E) 6971
Rationale: Explanation:
We have, P = 2Q & S = 4R
Further Q = R & P + Q + R + S = 40,000
Thus we get, 2Q + Q + Q + 4Q = 40,000
8Q = 40,000 or Q = Rs. 5000
Thus, R = Rs. 2500, P = 10000 & S = Rs. 20000
Hence, the required difference = (S – P) = (20000 – 10000) = Rs. 10000
ANSWER:C
Answer: (C) 10000
Question: A 160 meter long train crosses a man standing on the platform in 8 sec. What is the speed of the train?
(A) 96 kmph
(B) 94 kmph
(C) 92 kmph
(D) 86 kmph
(E) 72 kmph
Rationale: S = 160/8 * 18/5 = 72 kmph
ANSWER:E
Answer: (E) 72 kmph
Question: If $1088 are divided between worker A and worker B in the ratio 5:11,what is the share that worker B will get?
(A) 62.45%
(B) 64.55%
(C) 66.65%
(D) 68.75%
(E) 70.85%
Rationale: Worker B will get 11/16 = 68.75%
The answer is D.
Answer: (D) 68.75%
Question: Tom and Jerry are running on the same road towards each other. If Tom is running at a speed of 2.5 meters per second and Jerry is running 36% slower, how much time will it take them to meet if the initial distance between the two is 50 meters and Tom started running 20 seconds before Jerry did?
A.
(A) 2 minute and 12 seconds.
(B) two minutes.
(C) 44 seconds.
(D) 20 seconds.
(E) 12 seconds
Rationale: om is running alone for 20 seconds.
So he will cover a distance of 20*2.5 = 50 m in 20 seconds.
Basically, Jerry has not started yet , and Tom has covered the distance alone and met Jerry on the other side :)
D is the answer
Answer: (D) 20 seconds.
Question: On dividing a number by 357, we get 39 as remainder. On dividing the same number 17, what will be the remainder ?
(A) 0
(B) 3
(C) 5
(D) 11
(E) 7
Rationale: Let x be the number and y be the quotient. Then,
x = 357 x y + 39
= (17 x 21 x y) + (17 x 2) + 5
= 17 x (21y + 2) + 5)
Required remainder = 5.
Answer :C
Answer: (C) 5