mathewhe/aqua_rat huggingface dataset:
Question: What is the next number in the sequence : 12,15,21,24,30,33,39,51 __?
(A) 59
(B) 53
(C) 57
(D) 52
(E) 51
Rationale: next no. = previous + (sum of digits)
12 + (1+2) = 15
15 + (1+5) = 21
21 + (2+1) = 24
24 + (2+4) = 30
30 + (3+0) = 33
33 + (3+3) = 39
39 +(3+9) = 51
51 + (5+1) = 57
ANSWER:C
Answer: (C) 57
Question: To get the more profit, which is the best transaction?
(A) C.P. = Rs. 18, profit = Rs. 9
(B) C.P. = Rs. 25, profit = Rs. 12
(C) C.P.= Rs. 20, profit = Rs. 8
(D) C.P.= Rs. 30, profit = Rs. 18
(E) None of these
Rationale: Explanation :
Solution: (A) Profit% = (9*100/18) =50%.
(B) profit% = (12*100/25) = 48%.
(C)profit% = (8*100/20) = 40%.
(D) profit% = (18*100/30) = 60%.
From the above results clearly, (D) is the best transaction.
Answer : D
Answer: (D) C.P.= Rs. 30, profit = Rs. 18
Question: In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:
(A) 2700
(B) 2900
(C) 3000
(D) 3100
(E) 3500
Rationale: Number of valid votes = 80% of 7500 = 6000.
Valid votes polled by other candidate = 45% of 6000
= 45 divided by 100x6000 =2700
Answer: Option A
Answer: (A) 2700
Question: Suppose that we have the following set of equations
log2 x + log3 x + log4 x = 20
log4 y + log9 y + log16 y = 16
Compute logx y.
(A) 0.5
(B) 1.3
(C) 1.6
(D) 2.5
(E) 0.1
Rationale: We rewrite the rst equation as
20 = log2 x + log3 x + log4 x
20 =
log x
log 2
+
log x
log 3
+
log x
log 4
20 = log x (log2 10 + log3 10 + log4 10)
Similarly, we obtain that
16 = log y (log4 10 + log9 10 + log16 10)
16 = log y (log2
p
10 + log3
p
10 + log4
p
10)
16 =
1
2
log y (log2 10 + log3 10 + log4 10)
32 = log y (log2 10 + log3 10 + log4 10)
Dividing both equations by each other, we obtain
32
20
=
log y
log x
log2 10 + log3 10 + log4 10
log2 10 + log3 10 + log4 10
8/5
= logx y=1.6
correct answer C
Answer: (C) 1.6
Question: How much time does a train 160 metres long running at 72 km/hr take to pass a pole?
(A) 8s
(B) 2.5s
(C) 7.5s
(D) 7.6s
(E) 7.4s
Rationale: Explanation:
72 km/hr = 72 * 5/18 = 20 m/s
Speed = distance/time; v = d/t
20 = 160/t
t = 8s
ANSWER: A
Answer: (A) 8s
Question: 4 dice are thrown simultaneously on the board. Find the probability show the same face.
(A) 1/113
(B) 1/117
(C) 1/216
(D) 2/113
(E) 2/117
Rationale: The total number of elementary events associated to the random experiments of throwing four dice simultaneously is:
=6×6×6×6=64=6×6×6×6=64
n(S)=64n(S)=64
Let XX be the event that all dice show the same face.
X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}
n(X)=6n(X)=6
Hence required probability,
=n(X)n(S)=664=n(X)n(S)=664
=1/216
C
Answer: (C) 1/216
Question: To be eligible for retirement benefits at the Sieman Corporation, the sum of an employee's age, in years, and the number of years employment must be at least 66. If x, where x <66, is a certain employee's age when hired and y is the minimum number of years of employment required for the employee to be eligible for retirement benefits, which of the following equations represents the relationship between x and y?
(A) 2x+2y=66
(B) x+y=66
(C) x+2y=66
(D) 2x+y=66
(E) xy=66
Rationale: We are told that when a certain employee was hired he was x years old and that the he needed minimum y years to be eligible for benefits.
Now,after y years of employment, when the employee will be be eligible for benefits, the employee will be x+y years old and will have y years of employment, thus{age after y years}+{employment years}=(x+y)+y=x+2y=66.
Answer: C
Answer: (C) x+2y=66
Question: A girl sold a book at a profit of 7%. Did she sold it for Rs.7.50 more, 22% would have been gained. Find the CP?
(A) 30%
(B) 40%
(C) 50%
(D) 55%
(E) 60%
Rationale: 50%
C
Answer: (C) 50%
Question: The ratio of the ages of a man and his wife is 4:3. After 4 years,the ratio will be 9:7.If at the time of marriage the ratio was 5:3,then how many years ago were they married ?
(A) 8
(B) 10
(C) 12
(D) 14
(E) 15
Rationale: let the present ages of the man and his wife be 4x and 3x
then (4x+4)/(3x+4)= 9/7
[since given that after four years their ages will be 9/7]
by solving it we have x=8
so their present ages are 32 and 24 respectively
now suppose if they were married X years ago,
then (32-X)/(24-X)=5/3
by solving it we have 2X=24
so X=12
so they were married 12 years ago
ANSWER:C
Answer: (C) 12
Question: The center of a circle lies on the origin of the coordinate plane. If a point (x, y) is randomly selected inside of the circle, what is the probability that x > y?
(A) 1/8
(B) 1/6
(C) 3/8
(D) 1/2
(E) 3/4
Rationale: The line y=x divides the circle into two equal areas.
All the points below the line y=x satisfy the condition that x > y.
The answer is D.
Answer: (D) 1/2
Question: The least number which when increased by 8 each divisible by each one of 24, 32, 36 and 54 is :
(A) 427
(B) 859
(C) 869
(D) 856
(E) None of these
Rationale: Solution
Required number = (L.C.M. of 24, 32, 36, 54) - 8 = 864 - 8 = 856. Answer D
Answer: (D) 856
Question: The ratio of the ages of Anil and his son at present is 7 : 3. Six years hence, the ratio of the ages of the Anil's wife and the son will be 2 : 1. Find the ratio of the present ages of Anil and his wife?
(A) 6:9
(B) 6:5
(C) 6:8
(D) 6:2
(E) 6:1
Rationale: Let the present ages of Anil and his son be 7x and 3x years respectively.
Let the present age of the son's mother be m years.
(m + 6) / (3x + 6) = 2/1
m + 6 = 6x + 12 => m = 6x + 6
Ratio of the present ages of Anil and the son's mother = 7x / (6x + 6).
This cannot be found uniquely.
Answer:D
Answer: (D) 6:2
Question: What will be the remainder when (27^27) + 27 is divided by 28?
(A) 22
(B) 20
(C) 24
(D) 26
(E) 28
Rationale: x^n + 1 will be divisible by x+1 only when n is odd
27^27+1 will be divisible by 27+1
(27^27+1)+26, when divided by 28 will give 26 as remainder
Answer is D
Answer: (D) 26
Question: A certain industrial loom weaves 0.128 meters of cloth every second. Approximately how many seconds will it take for the loom to weave 25 meters of cloth?
(A) 205
(B) 200
(C) 180
(D) 195
(E) None of these
Rationale: Explanation :
Let the required number of seconds be x
More cloth, More time, (direct proportion)
Hence we can write as
Cloth0.128:25}::1:x
⇒0.128x=25
⇒x = 25/128 = 25000/128 = 3125/16 ≈ 195. Answer : Option D
Answer: (D) 195
Question: In a recent election, Geoff received 1 percent of the 6,000 votes cast. To win the election, a candidate needed to receive more than x% of the vote. If Geoff needed exactly 3,571 more votes to win the election, what is the value of x ?
(A)  50
(B)  54
(C)  56
(D)  60
(E)  60.5
Rationale: Word problems are tricky in somehow more than other problem because you have the additional step to translate.
Breaking the problem: Geoff how many votes he receives ?? 60 votes
he needs 3571 more votes so : 60+3571= 3631
Now what's the problem wants ?? a x %........3631 is what % of total votes 6000........translating: 3631 = x/100 * 6000 ---> x = 60.51666666
x= 60.5 %..........E
Answer: (E)  60.5
Question: Sakshi invests a part of Rs. 12,000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1320, how much does he invest in 12% stock at Rs. 120?
(A) s. 4000
(B) s. 4500
(C) s. 5500
(D) s. 6000
(E) s. 6500
Rationale: Let investment in 12% stock be Rs. x.
Then, investment in 15% stock = Rs. (12000 - x).
12/120 * x + 15/125 * (12000- x) = 1320
x/10 + 3/25(12000-x) = 1320
5x + 72000 - 6x = 1320 x 50
x = 6000.
Answer = D
Answer: (D) s. 6000
Question: Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
(A) 26 sec
(B) 28 sec
(C) 48 sec
(D) 72 sec
(E) 12 sec
Rationale: Relative speed = 45 + 30 = 75 km/hr.
75 * 5/18 = 125/6 m/sec.
Distance covered = 500 + 500 = 1000 m.
Required time = 1000 * 6/125 = 48 sec.
Answer:C
Answer: (C) 48 sec
Question: A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
(A) 79.7 km/hr
(B) 89.2 km/hr
(C) 79.3 km/hr
(D) 79.2 km/hr
(E) 49.2 km/hr
Rationale: Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 8 => x = 8y
(x + 264)/20 = y
y = 22
Speed = 22 m/sec = 22 * 18/5 = 79.2 km/hr.
Answer: D
Answer: (D) 79.2 km/hr
Question: A small table has a length of 12 inches and a breadth of b inches. Cubes are placed on the surface of the table so as to cover the entire surface. The maximum side of such cubes is found to be 4 inches. Also, a few such tables are arranged to form a square. The minimum length of side possible for such a square is 48 inches. Find b.
(A) 8
(B) 16
(C) 24
(D) 32
(E) 48
Rationale: From the info that the maximum sides of the cubes is 4, we know that the GCF of 12 (=2^2*3) and "b" is 4 (=2^2), so "b"=2^x, where x>=2.
From the second premise, we know that the LCM of 12 (2^2*3) and "b" is 48 (2^4*3), so "b"=2^4 or 2^4*3 (16 or 48).
Combining 2 premises shows the answer is B(16).
Answer: (B) 16
Question: Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 450 players took part in that tournament.
How many matches were played?
(A) 449 matches.
(B) 88 matches.
(C) 77 matches.
(D) 66 matches.
(E) 55 matches.
Rationale: Solution:
449 matches.
The number of matches will always sum up to one less than the number of players in a knock out tournament. You may calculate it in any manner. Thus 449 matches were played.
Answer A
Answer: (A) 449 matches.
Question: The average of 11 results is 51, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
(A) A)46
(B) B)45
(C) C)66
(D) D)76
(E) E)74
Rationale: 1 to 11 = 11 * 51 = 561
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 – 561 = 45
Answer:B
Answer: (B) B)45
Question: W is the set of all positive integers x such that x^2 is a multiple of both 27 and 375. Which of the following integers must be a divisor of every integer x in W?
I. 9
II. 15
III. 27
(A) I only
(B) II only
(C) I and II only
(D) I and III only
(E) I, II, and III
Rationale: Ans: C
W->{x} where x^2 is a multiple of both 27 and 375 means 3^3 and (5^3)*3
means x must contain 3^2 and 5^2
so with these conditions we know that 9=3^2 and 15=3*5 both have required factors for the divisibility of lowest int for x which is 9*25
but 27 is not a divisor because it can't divide 9*25 fully.
so Ans : C
Answer: (C) I and II only
Question: Tom purchased 8kg of apples at the rate of 70 per kg and 910 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
(A) A)1110
(B) B)1045
(C) C)1055
(D) D)1060
(E) E)1075
Rationale: Cost of 8 kg apples= 70 × 8 = 560.
Cost of 10 kg of mangoes = 55 × 10 = 550.
Total cost he has to pay = 560 + 550 = 1110.
A)
Answer: (A) A)1110
Question: Find the surface area of a 8 cm x 6 cm x 2 cm brick.
(A) 112 cu cm
(B) 136 cu cm
(C) 164 cu cm
(D) 180 cu cm
(E) 152 cu cm
Rationale: Sol.
Surface area = [2(8 x 6 + 6 x 2 + 8 x 2)]
= (2 x 76)
= 152 cu cm
Answer E
Answer: (E) 152 cu cm
Question: A large box contains 17 small boxes and each small box contains 25 chocolate bars. How many chocolate bars are in the large box?
(A) 250
(B) 350
(C) 425
(D) 550
(E) 650
Rationale: The number of chocolate bars is equal to
17 * 25 = 425
correct answer C
Answer: (C) 425
Question: If you multiply all the numbers on your mobile phone except 0 and 9, what is the answer?
(A) 25869
(B) 48586
(C) 40320
(D) 58964
(E) 45698
Rationale: We have to multiply 1 to 8 to find the answer.
Therefore 1*2*3*4*5*6*7*8=40320
Answer is C
Answer: (C) 40320
Question: Jamboree and GMAT Club Contest Starts
QUESTION #40:
How many words (with or without meaning) can be formed using all the letters of the word “SELFIE” so that the two E’s are not together?
(A)  660
(B)  600
(C)  500
(D)  300
(E)  240
Rationale: The question is asking the total number of arrangements possible with the letters of the word “SELFIE” where two E’s are not together.
Arrangements when two E’s are not together = Total arrangements - Arrangements when two E’s are together
In total there are 6 letters but two are identical. so we can arrange in 6! ways. but we divide for those objects that are identical. so divide by 2!. Hence,
Total arrangements = 6!/2!
Now two E's are coupled together. Consider this couple (EE) as one letter. apart from this there are 4 more letters. so we can arrange these 5 different objects in 5! ways.
Two E's can arrange themselves in 2! ways, but we divide for those objects that are identical. so divide by 2!. so arrangement for E's would be 2!/2!.
Hence, Arrangements when two E’s are together = 5! * (2!/2!)
Arrangements when two E’s are not together = 6!/2! - 5! = 5! * ( 6/2 -1 ) = 120 * 2 = 240.
Option A is correct!
Answer: (A)  660
Question: Five men and nine women can do a piece of work in 10 days. Six men and twelve women can do the same work in 8 days. In how many days can three men and three women do the work?
(A) 20 days
(B) 23 days
(C) 26 days
(D) 21 days
(E) 28 days
Rationale: A
20 days
(5m + 9w)10 = (6m + 12w)8
=> 50m + 90w = 48w + 96 w => 2m = 6w => 1m = 3w 5m + 9w = 5m + 3m = 8m
8 men can do the work in 10 days.
3m +3w = 3m + 1w = 4m
So, 4 men can do the work in (10 * 8)/4 = 20 days.
Answer: (A) 20 days
Question: In a series of six consecutive even numbers, the sum of the second and sixth numbers is 24. What is the fourth number?
(A) 8
(B) 12
(C) 6
(D) 14
(E) None of these
Rationale: Let the numbers be x, x + 2, x + 4, x + 6, x + 8 and x + 10.
Given (x + 2) + (x + 10) = 24
=> 2x + 12 = 24 => x = 6
The fourth number = x + 6 = 6 + 6 = 12.
ANSWER:B
Answer: (B) 12
Question: R-R-R-G-G-G-Y-Y-Y-B-R-R-R-G-G-G-Y-Y-Y-B… B-R-R
The preceding is a representation of the different colored beads on a string. The beads follow a repeating pattern and the colors Red, Green, Yellow, and Blue are represented by R, G, Y, and B respectively. Which of the following is a possible number of beads in the missing section of the string represented above?
(A) 65
(B) 66
(C) 67
(D) 68
(E) 69
Rationale: The repeated pattern R-R-R-G-G-G-Y-Y-Y-B has 10 beads.
But the missing section includes R-R-R-G-G-G-Y-Y-Y at the end.
Thus the number of beads in the missing section has the form 10k + 9.
The answer is E.
Answer: (E) 69
Question: The average weight of 12 person's increases by 4 kg when a new person comes in place of one of them weighing 58 kg. What is the weight of the new person?
(A) 85
(B) 80
(C) 95
(D) 90
(E) 106
Rationale: Total increase in weight =12 × 4 = 48
If x is the weight of the new person, total increase in weight = x−58
=> 48 = x - 58
=> x = 48+58 = 106
ANSWER:E
Answer: (E) 106
Question: {1/(4-√15)} =
(A) a. 16+16√15
(B) b. 31- 8√15
(C) c. 31+ 8√15
(D) d. 32- 4√15
(E) e. 4 + √15
Rationale: = 1 / (4 - root15)
Multiply numeratordenominator by (4+ root15)
= (4 + root15) / (16-15) = (4 + root15)
Answer = E
Answer: (E) e. 4 + √15
Question: The total marks obtained by a student in Mathematics and Physics is 50 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together.
(A) 40
(B) 26
(C) 27
(D) 35
(E) 22
Rationale: Let the marks obtained by the student in Mathematics, Physics and Chemistry be M, P and C respectively.
Given , M + C = 50 and C - P = 20 M + C / 2 = [(M + P) + (C - P)] / 2 = (50 + 20) / 2 = 35.Answer:D
Answer: (D) 35
Question: Solution X is 30% chemical A and 70% chemical B by volume. Solution Y is 40% chemical A and 60% chemical B by volume. If a mixture of X and Y is 32% chemical A, what percent of the mixture is Solution X?
(A) 85%
(B) 80%
(C) 75%
(D) 70%
(E) 65%
Rationale: The volume of the mixture be X+Y.
0.3X +0.4Y=0.32(X+Y)
X=4Y
X/(X+Y)=4/5=80%.
The answer is B.
Answer: (B) 80%
Question: In an examination, a student scores 5 marks for every correct answer and loses 2 marks for every wrong answer. If he attempts all 100 questions and secures 290 marks, the number of questions he attempts correctly, is:
(A) 60
(B) 80
(C) 70
(D) 45
(E) 50
Rationale: Let the number of correct answers be x.
Number of incorrect answers = (100 â€“ x).
5x â€“ 2(100 â€“ x) = 290 or 7x = 490 or x = 70.
ANSWER:C
Answer: (C) 70
Question: Suppose you flip a fair coin four times. What is the probability that, in four flips, you get at least one head?
(A) 13/16
(B) 7/16
(C) 15/16
(D) 21/16
(E) 19/16
Rationale: Best way of solving an at least 1 type of question is to compute 1 - probability of flipping 0 heads
probability of flipping either a head or a tail = 1/2
probability of flipping 3 tails in a row (1/2)^4
probability of flipping at least 1 head = 1 - (1/2)^4 = 15/16
Answer : C
Answer: (C) 15/16
Question: A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?
(A) 22.7 kmph
(B) 12.7 kmph
(C) 27.6 kmph
(D) 12.5 kmph
(E) 22.1 kmph
Rationale: Let the speed of the man in still water be a kmph and let the speed of the stream be b kmph.
Now 30/(a + b) + 20/(a - b) = 4 and 45/(a + b) + 40/(a - b) = 7
Solving the equation, the speed of man in still water is 12.5 kmph.Answer: D
Answer: (D) 12.5 kmph
Question: A certain collage has total of 300 seniors each majoring in exactly one of six subjects. A minimum of 20 seniors major in each six subjects. If three quarter of the seniors major in one of four subjects, what is the greatest possible number of seniors majoring in one of the other two subjects?
(A) 100
(B) 80
(C) 75
(D) 60
(E) 55
Rationale: Answer E
300 = 225 + 20 + x => x = 55
= 3/4 * 300 in 4 subjects + 20 min for 5th subject + x = 300
Answer: (E) 55
Question: Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
(A) 3377
(B) 1800
(C) 2776
(D) 1881
(E) 1882
Rationale: Let the required number of bottles be x.
More machines, More bottles (Direct Proportion)
More minutes, More bottles (Direct Proportion)
Machines	6	:	10 :: 270 : x
Time (in minutes)	1	:	4
6 x 1 x x = 10 x 4 x 270
x =	(10 x 4 x 270)
(6)
x = 1800.
View Answer
Answer: B
Answer: (B) 1800
Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
(A) 2234
(B) 4350
(C) 4560
(D) 5132
(E) 5184
Rationale: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62
E
Answer: (E) 5184
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
(A) 20%
(B) 29%
(C) 70%
(D) 27%
(E) 28%
Rationale: SP2 = 2/3 SP1
CP = 100
SP2 = 80
2/3 SP1 = 80
SP1 = 120
100 --- 20 => 20%
Answer: A
Answer: (A) 20%
Question: If a train, travelling at a speed of 160 kmph, crosses a pole in 9 sec, then the length of train is?
(A) 281
(B) 125
(C) 288
(D) 266
(E) 400
Rationale: D = 160 * 5/18 * 9
= 400 m
Answer: E
Answer: (E) 400
Question: For each of her sales, a saleswoman receives a commission equal to 20 percent of the first $500 of the total amount of the sale, plus 30 percent of the total amount in excess of $500. If the total amount of one of her sales was $800, the saleswoman’s commission was approximately what percent of the total amount of the sale?
(A) 22%
(B) 24percent
(C) 25%
(D) 28%
(E) 27%
Rationale: Total sales =800
Commission = (20/100)*500+ (30/100)*300
=100 + 90
=190
%Commission = (190/800)*100=23.7~ 24%
Answer is B
Answer: (B) 24percent
Question: What is the small positive two digit no. divisible by 3 and such that the sum of its digits is 9?
(A) 10
(B) 12
(C) 14
(D) 18
(E) 21
Rationale: Let xy be the whole number with x and y the two digits that make up the number. The number is divisible by 3 may be written as follows
10 x + y = 3 k
The sum of x and y is equal to 9.
x + y = 9
Solve the above equation for y
y = 9 - x Substitute y = 9 - x in the equation 10 x + y = 3 k to obtain.
10 x + 9 - x = 3 k
Solve for x
x = (k - 3) / 3
x is a positive integer smaller than 10
Let k = 1, 2, 3, ... and select the first value that gives x as an integer. k = 6 gives x = 1
Find y using the equation y = 9 - x = 8
The number we are looking for is 18 and the answer is D. It is divisible by 3 and the sum of its digits is equal to 9 and it is the smallest and positive whole number with such properties.
Answer: (D) 18
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. 1500, then his salary per month in rupees is:
(A) 4000
(B) 6000
(C) 8000
(D) 10000
(E) None of these
Rationale: Total expenditure = 40 + 25 + 15 + 5 = 85%
Saving = (100 - 85) = 15%
15/100 × Salary = 1500, Salary = 10000 Rs.
Answer:D
Answer: (D) 10000
Question: Company C produces toy trucks at a cost of $5.00 each for the first 100 trucks and $3.50 for each additional truck. If 500 toy trucks were produced by Company C and sold for $20.00 each, what was Company C’s gross profit?
(A)  $7,250
(B)  $8,500
(C)  $8,100
(D)  $8,250
(E)  $8,600
Rationale: Cost of 500 trucks: (100 * 5 ) + (400 * 3.5) = 500 + 1400 =$ 1900
Revenue : 500 * 20 = $10000
Profit: 10000 - 1900 = $ 8100
Option C is correct
Answer: (C)  $8,100
Question: By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
(A) 38008
(B) 38000
(C) 38005
(D) 38001
(E) 38002
Rationale: CP + CP/8 = 45000
CP = 40000
SP = 40000*(95/100) = 38000
Answer: B
Answer: (B) 38000
Question: Some pens are divided among A, B, C and D. A gets twice the number of pens that B gets. C gets the same number of pens as D gets. If A gets 25 pens more than D and the ratio of the number of pens that B and C get is 2 : 3, then find the number of pens that D gets ?
(A) 56 pens
(B) 76 pens
(C) 75 pens
(D) 98 pens
(E) 45 pens
Rationale: Let the number of pens that A, B, C and D get be a, b, c and d respectively.
a : b = 2 : 1
a = c + 25
b : c = 2 : 3
a : b : c : d = 4 : 2 : 3 : 3
a,d get 4p, 3p pens
=> 4p - 3p = 25 (given)
p = 25
=> D gets 3p = 3 * 25 = 75 pens.
Answer:C
Answer: (C) 75 pens
Question: A certain industrial loom weaves 0.129 meters of cloth every second. Approximately how many seconds will it take for the loom to weave 15 meters of cloth?
(A) 114
(B) 115
(C) 116
(D) 117
(E) 118
Rationale: Let the required number of seconds be x
More cloth, More time, (direct proportion)
Hence we can write as
(cloth) 0.129 : 15 :: 1 : x
=>0.129*x=15
=>x=15/0.129
=>x=116
ANSWER:C
Answer: (C) 116
Question: In a sports club with 30 members, 18 play badminton and 19 play tennis and 2 do not play either. How many members play both badminton and tennis?
(A) 7
(B) 8
(C) 9
(D) 10
(E) 11
Rationale: Let x play both badminton and tennis so 18-x play only badminton and 19-x play only tennis. 2 play none and there are total 30 students. hence,
(18-x)+(19-x)+x+2=30
39-2x+x=30
39-x=30
x=9
So 9 members play both badminton and tennis.
C
Answer: (C) 9
Question: Two pipes function simultaneously the reservoir will be filled in 12 hours. One pipe fills reservoir 10 hours faster than the other. How many hours does the faster pipe take to fill the reservoir?
(A) 12
(B) 99
(C) 20
(D) 88
(E) 21
Rationale: 1/x + 1/(x + 10) = 1/12
x = 20
Answer: C
Answer: (C) 20
Question: A sum of Rs.4800 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
(A) Rs.2520
(B) Rs.3120
(C) Rs.3320
(D) Rs.2760
(E) None of these
Rationale: Let A be the amount received at the end of the three years.
A = 4800[1 + 10/100][1 + 20/100][1 + 25/100]
A = (4800 * 11 * 6 * 5)/(10 * 5 * 4)
A = Rs.7920
So the interest = 7920 - 4800 = Rs.3120
ANSWER:B
Answer: (B) Rs.3120