mathewhe/aqua_rat huggingface dataset:
Question: For an upcoming charity event, a male vocalist has agreed to sing 4 out of 6 “old songs” and 2 out of 5 “new songs.” How many ways can the singer make his selection?
(A) 25
(B) 50
(C) 150
(D) 480
(E) 600
Rationale: Number of ways the vocalist can sing "old songs" = C64=15
Number of ways the vocalist can sing "new songs" = C52=10
Therefore total number of ways the singer can make the selection = (Number of ways the vocalist can sing "old songs")*(Number of ways the vocalist can sing "new songs")= 15*10=150
Answer: C
Answer: (C) 150
Question: An gun can take a maximum of four shots at an enemy plane moving away from it. The probability of hitting the plane at the 1st, 2nd, third and 4th shots are 1.4, 1.3, 1.2 & 1.1 respectively. What is the probability that the plane is hit when all the four shots are fired?
(A) 0.53435
(B) 0.69766
(C) 1.34354
(D) 1.45465
(E) 1.46566
Rationale: Required probability:
=(0.4×0.7×0.8×0.9)+(0.6×0.3×0.8×0.9)+(0.6×0.7×0.2×0.9)+(0.6×0.7×0.8×0.1)+(0.4×0.3×0.8×0.9)+(0.4×0.7×0.2×0.9)+(0.4×0.7×0.8×0.1)+(0.6×0.3×0.2×0.9)+(0.6×0.3×0.8×0.1)+(0.6×0.7×0.2×0.1)+(0.4×0.3×0.2×0.9)+(0.6×0.3×0.2×0.1)+(0.4×0.3×0.8×0.1)+(0.4×0.7×0.2×0.1)+(0.4×0.3×0.2×0.1)=(0.4×0.7×0.8×0.9)+(0.6×0.3×0.8×0.9)+(0.6×0.7×0.2×0.9)+(0.6×0.7×0.8×0.1)+(0.4×0.3×0.8×0.9)+(0.4×0.7×0.2×0.9)+(0.4×0.7×0.8×0.1)+(0.6×0.3×0.2×0.9)+(0.6×0.3×0.8×0.1)+(0.6×0.7×0.2×0.1)+(0.4×0.3×0.2×0.9)+(0.6×0.3×0.2×0.1)+(0.4×0.3×0.8×0.1)+(0.4×0.7×0.2×0.1)+(0.4×0.3×0.2×0.1)
=0.2016+0.1296+0.756+0.336+0.864+0.504+0.224+0.324+0.144+0.0084+0.0216+0.0036+0.0096+0.0056+0.002=0.2016+0.1296+0.756+0.336+0.864+0.504+0.224+0.324+0.144+0.0084+0.0216+0.0036+0.0096+0.0056+0.002
=0.6976=0.6976
Edit: Thank you Vaibhav for providing an alternative method.
Alternate Method:
probability that the plane is hit when all the four shots are fired,
P=1−probability of not hitting the targetP=1−probability of not hitting the target
=1−(0.6×0.7×0.8×0.9)=1−(0.6×0.7×0.8×0.9)
=1−0.3024=1−0.3024
=0.6976
B
Answer: (B) 0.69766
Question: Find smallest number that you can write using all the vowels(A,E,O,I,U) exactly once?
(A) 5000
(B) 6000
(C) 1000
(D) 4000
(E) 3000
Rationale: A
fIvE thOUsAnd(5000)
Answer: (A) 5000
Question: A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
(A) Rs.43
(B) Rs.23
(C) Rs.44
(D) Rs.20
(E) Rs.41
Rationale: π (152 - 132) = 176
176 * 1/4 = Rs.44
Answer: C
Answer: (C) Rs.44
Question: There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 4 days more?
(A) 3022
(B) 3040
(C) 3099
(D) 3088
(E) 3066
Rationale: 760 ---- 22
760 ---- 20
x ----- 4
x*4 = 760*20
x = 3800
760
-------
3040
Answer: B
Answer: (B) 3040
Question: A person crosses a 1000 m long street in 5 minutes. What is his speed in km per hour?
(A) 5.2 km/hr.
(B) 8.2 km/hr.
(C) 12.0 km/hr.
(D) 3.2 km/hr.
(E) 4.2 km/hr.
Rationale: C
12.0 km/hr.
Speed=(1000/5 * 60) m/sec
= 3.33 m/sec.
Converting m/sec to km/hr
=(3.33*18/5) km/hr
= 12.0 km/hr.
Answer: (C) 12.0 km/hr.
Question: Which of the following is closest to the difference between sum Z of all proper fractions (fractions less than 1) in the form 1/x , where x is a positive digit, and the product of all proper fractions in the form y/(y+1), where y is a positive digit?
(A) 2.82
(B) 2.72
(C) 1.82
(D) 1.72
(E) 0.82
Rationale: Sum Z of all proper fractions (fractions less than 1) in the form 1/x, where x is a positive digit:
1/1 + 1/2 + 1/3 +.....+ 1/9
This is a harmonic progression. Harmonic progression is inverse of arithmetic progression.
Approximate sum of a harmonic progression with even number of terms = number of terms * (average of middle 2 terms)
Approximate sum of a harmonic progression with odd number of terms = number of terms * (middle term)
The actual sum will be slightly more than the approximation.
Here we have 9 terms (odd).
Sum = 9 * 1/5
= 9/5
Product of all proper fractions in the form y/(y+1), where y is a positive digit:
1/2 * 2/3 * 3/4 *.....*9/10
We will be left with 1/10.
Required = 9/5 - 1/10
= 1.8 - 0.1
= 1.7
Closest is 1.72
Answer (D).
Answer: (D) 1.72
Question: 926 + 9.026 + 0.926 + 9.0026 = ?
(A) 944.9546
(B) 944.1246
(C) 944.4246
(D) 944.9446
(E) None of these
Rationale: Explanation :
926 + 9.026 + 0.926 + 9.0026 = 944.9546. Answer : Option A
Answer: (A) 944.9546
Question: If @ is a binary operation defined as the difference between an integer n and the product of n and 5, then what is the largest positive integer n such that the outcome of the binary operation of n is less than 12?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Rationale: @(n) = 5n - n
We need to find the largest positive integer such that 5n - n < 12.
Then 4n < 12 and n < 3.
The largest possible integer is n = 2.
The answer is B.
Answer: (B) 2
Question: Pat, kate and mark charged a total of 189 hours to a certain project . If pat charged twice as much time to the project as kate and 1/3 as much times as mark, how many more hours did mark charge to the project than kate.
(A) 18
(B) 36
(C) 72
(D) 90
(E) 105
Rationale: Let Kate charge for x hours,
then Pat charged for 2x and Mat - for 6x.
So, 2x+6x+x = 189 -total hours charged for,
x= 21.
Mat charged 6x-x or 5x for more hours than kate, or for 105 hours .
E is correct
Answer: (E) 105
Question: The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
(A) 2000
(B) 2787
(C) 2927
(D) 1627
(E) 1811
Rationale: Explanation:
Let C.P. be Rs. x.
Then, (1920 - x)/x * 100 = (x - 1280)/x * 100
1920 - x = x - 1280
2x = 3200 => x = 1600
Required S.P. = 125 % of Rs. 1600 = 125/100 * 1600 = Rs. 2000.
Answer:A
Answer: (A) 2000
Question: In how many ways can the letters of the word APPEARED be arranged?
(A) 1206
(B) 1348
(C) 2520
(D) 3000
(E) 5040
Rationale: APPEARED has 8 words, but A, P and E are repeated two times. Thus ways = 8! / 2!2!2! = 5040 ways
E
Answer: (E) 5040
Question: If KING is coded as 17 and MASS is coded as 29 Then COP is coded as
(A) 21
(B) 20
(C) 19
(D) 13
(E) None
Rationale: KING = 11+9+14+7=41 i.e (4*4)+(1*1)=17
MASS = 13+1+19+19=52 i.e (5*5)+(2*2)=29
CON= 3+14+15=32 i.e(3*3)+(2*2)=13
ANSWER:D
Answer: (D) 13
Question: A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
(A) 287
(B) 699
(C) 677
(D) 168
(E) 150
Rationale: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 9 = 150 m
Answer: E
Answer: (E) 150
Question: A certain fraction has the same ratio to 1/36, as 4/5 does to 2/9. What is this certain fraction?
(A) 1/5
(B) 1/10
(C) 1/15
(D) 1/20
(E) 1/25
Rationale: x / (1/36) = (4/5) / (2/9)
x = 4*9*1 / 36*5*2 = 1/10
The answer is B.
Answer: (B) 1/10
Question: 3, 15, x, 51, 53,159,161 value of x ?
(A) 17
(B) 34
(C) 54
(D) 64
(E) 112
Rationale: 3*5=15
15+2=17
17*3=51
51+2=53
ANSWER:A
Answer: (A) 17
Question: A chemical lab is scheduled to go through two air ventilation systems, a basic system and a more advanced system that takes forty minutes and 2 hours respectively to fully ventilate the room. If both ventilation systems were to operate at the same time with their respective constant rates, how many hours would it take to fully ventilate the chemical lab?
(A) 1/2
(B) 1/3
(C) 2/5
(D) 5/4
(E) 3/2
Rationale: The rate of the basic system is 1 room/ (2/3 of an hour) = 3/2 rooms per hour
The rate of the advanced system is 1/2 of a room per hour
The combined rate is 2 rooms per hour.
The time to ventilate one room is 1/2 of an hour.
The answer is A.
Answer: (A) 1/2
Question: A charity solicited P persons over the phone who agreed to an average pledge of Rs.R each. Q of these people who had pledged an average of Rs. S each never sent in the pledged amount. Which of the following expressions represents the percentage of pledged money that the charity received?
(A) 100*(PR/QS)
(B) 100*(QS/PR)
(C) 100 (PR - QS)
(D) 100(1-QS/PR)
(E) 100(PR-QS/PR)
Rationale: Explanatory Answer
Total amount solicited from P persons, each of whom agreed to pledge Rs.R = Rs.P*R
Of these Q did not send the pledged amount. Average value of amount not sent = Rs.S.
Hence, the total amount pledged but not received = Rs.Q*S
The charity therefore, received Rs.(PR - QS)
Expressing the amount received as a percentage of amount pledge, we get ((PR-QS)/PR)*100
Or, the expression can be rewritten as 100(1-QS/PR)
Answer D
Answer: (D) 100(1-QS/PR)
Question: A man swims downstream 24km and upstream 16km taking 4 hours each time, what is the speed of the man in still water?
(A) 8
(B) 5
(C) 24
(D) 12
(E) 36
Rationale: 24 --- 4 DS = 6
? ---- 1
16 ---- 4 US = 4
? ---- 1 M = ?
M = (6+ 4)/2 = 5
Answer: B
Answer: (B) 5
Question: A confused bank teller transposed the rupees and paise when he cashed a cheque for Shailaja, giving her rupees instead of paise and paise instead of rupees. After buying a toffee for 50 paise, Shailaja noticed that she was left with exactly three times as much as the amount on the cheque. Which of the following is a valid statement about the cheque amount?
(A) Over Rupees 13 but less than Rupees 14
(B) Over Rupees 7 but less than Rupees 8
(C) Over Rupees 22 but less than Rupees 23
(D) Over Rupees 18 but less than Rupees 9
(E) Over Rupees 4 but less than Rupees 5
Rationale: Explanation :
original :- 100 p + r.
mistaken :- 100r + p.
=> 100p + r -50 = 300r + 3p.
=> 97p = 299r + 50.
=> p = (299r + 50)/97.
Since 97 is prime, the numerator has to be a mult of 97.
now, 299 leaves a remainder of 8 when divided by 97.
now, checking the options:
1. 299 * 13 + 50 / 97 ---> 8*13 + 50/97 --> not divisible.
2. 8*7 + 50 / 97 --> not divisible.
3. 8*22 + 50/97 --> not divisible.
4. 8*18 + 50/97 --> divisible.
Answer : D
Answer: (D) Over Rupees 18 but less than Rupees 9
Question: If the radius of a cylinder is doubled and so height is made 3 times, what is the new volume of the cylinder divided by the old one?
(A) 8.
(B) 12.
(C) 6.
(D) 4.
(E) 10.
Rationale: let v and v' be the original and the changed volume
now
v=pir^2h
v'=pi(2r)^2(3h)
v'=12v
B) 12
Answer: (B) 12.
Question: Sum of the squares of 3 no.'s is 222 and the sum of their products taken two at a time is 131. Find the sum?
(A) 22
(B) 24
(C) 26
(D) 28
(E) 30
Rationale: (a + b + c)2 = a2 + b2 + c2 + 2(ab +bc + ca) = 222 + 2* 131
a + b + c = √484 = 22
A
Answer: (A) 22
Question: If the cost price of 18 pens is equal to the selling price of 15 pens, the gain percent is:
(A) 9%
(B) 20%
(C) 50%
(D) 80%
(E) 34%
Rationale: Solution :
Let cost price of the price be Rs.1
15 pens C.P. = 15
18 pens S.P. = 18
Gain = 3/15*100 = 20 %
Answer :B
Answer: (B) 20%
Question: If A,B,C are three integers and AB+C is even ; which of the following must be true? A)C is Odd B)B is Odd C)AB is even
(A) None of the above
(B) I only
(C) II only
(D) III only
(E) III,II only
Rationale: If AB is Odd then C will not even. O+E = O
If AB is even then C will not be odd.
If B is even AB is even always. But If C is Odd E+O = O
If B is Odd AB is even or odd depends on A
None of the above are true.
Answer : A
Answer: (A) None of the above
Question: Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
(A) 10
(B) 9
(C) 12
(D) 11
(E) 15
Rationale: 4/12 + x/15 = 1
x = 10
ANSWER A
Answer: (A) 10
Question: A man can do a job in 10 days. His father takes 20 days and his son finishes it in 25 days. How long will they take to complete the job if they all work together?
(A) 6.3
(B) 6.9
(C) 5.3
(D) 6.1
(E) 6.2
Rationale: 1 day work of the three persons = (1/10 + 1/20 + 1/25) = 19/100
So, all three together will complete the work in 100/19 = 5.3 days.
Answer:C
Answer: (C) 5.3
Question: 9 men and 12 boys finish a job in 12 days, 12 men and 12 boys finish it in 10 days. 10 men and 10 boys shall finish it in how many days?
(A) 12
(B) 10
(C) 8
(D) 5
(E) 6
Rationale: 9M + 12B ----- 12 days
12M + 12B ------- 10 days
10M + 10B -------?
108M + 144B = 120M +120B
24B = 12M => 1M = 2B
18B + 12B = 30B ---- 12 days
20B + 10B = 30B -----? => 12 days
ANSWER A
Answer: (A) 12
Question: The average (arithmetic mean) of 20, 40, and 60 is 6 more than the average of 10, 70, and what number?
(A) 15
(B) 25
(C) 35
(D) 22
(E) 55
Rationale: a1 = 120/3 = 40
a2 = a1 -6 = 34
sum of second list = 34*3 = 102
therefore the number = 102 -80 = 22
ANSWER:D
Answer: (D) 22
Question: According to a survey, at least 70% of people like apples, at least 70% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three?
(A) 15%
(B) 20%
(C) 25%
(D) 0%
(E) 35%
Rationale: It seems that something is wrong with your answer options.
1) minimum applesbananas:
[XXXXXXXXXXXXXX------] - apples
[-----XXXXXXXXXXXXXXX] - bananas
mimimum ab = 70 - (100-70) = 40%
2) minimum (applesbananas)cherries:
[XXXXXXXXX-----------] - applesbananas
[----XXXXXXXXXXXXXXXX] - cherries
mimimum ab = 40 - (100-80) =20%
B
Answer: (B) 20%
Question: A father said his son , " I was as old as you are at present at the time of your birth. " If the father age is 44 now, the son age 5 years back was
(A) 14
(B) 17
(C) 11
(D) 19
(E) 99
Rationale: Let the son's present age be x years .Then, (44 - x) = x x= 22.
Son's age 5 years back = (22 - 5) = 17 years
Answer: B
Answer: (B) 17
Question: After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article?
(A) 1881
(B) 1211
(C) 1200
(D) 1882
(E) 1222
Rationale: CP* (76/100) = 912
CP= 12 * 100 => CP
= 1200
Answer: C
Answer: (C) 1200
Question: A bag contains 4 white balls, 3 black balls, and 2 red balls. One by one, three balls are drawn out without replacement. What is the probability that the third ball is red?
(A) 2/9
(B) 1/4
(C) 3/8
(D) 5/16
(E) 2/5
Rationale: The probability for each ball to be drawn third is equal.
Then the probability a red ball is drawn third is 2/9.
The answer is A.
Answer: (A) 2/9
Question: 164 candies are distributed to children with the same number. What can’t be the range including the number of children?
(A) 1~10
(B) 10~20
(C) 20~30
(D) 40~50
(E) 80~90
Rationale: -> In 164=1*164=2*82=4*41=6*24, you can come up with 4 cases. One is distributing 77 candies to 2 children each. Another is distributing 2 candies to 77 children each. Also, you can distribute 22 candies to 7 children. The other is distributing 7 candies to 22 children. Amongst these cases, what is not included is D. 10~20. Therefore, the answer is B.
Answer: (B) 10~20
Question: Before being simplified, the instructions for computing income tax in Country R were to add 2 percent of one's annual income to the average (arithmetic mean) of 100 units of Country R's currency and 1 percent of one's annual income. Which of the following represents the simplified formula for computing the income tax, in Country R's currency, for a person in that country whose annual income is S?
(A) 50+A/200
(B) 50+3S/100
(C) 50+S/40
(D) 100+S/50
(E) 100+3S/100
Rationale: 50+S/40=C
Answer: (C) 50+S/40
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 865 in 4 years. The sum is:
(A) s. 665
(B) s. 690
(C) s. 698
(D) s. 700
(E) s. 720
Rationale: S.I. for 1 year = Rs. (865 - 815) = Rs. 50.
S.I. for 3 years = Rs.(50 x 3) = Rs. 150.
Principal = Rs. (815 - 150) = Rs. 665.
Answer: Option A
Answer: (A) s. 665
Question: A particular store purchased a stock of turtleneck sweaters and marked up its cost by 20%. During the New Year season, it further marked up its prices by 25% of the original retail price. In February, the store then offered a discount of 20%. What was its profit on the items sold in February?
(A) 20%
(B) 30%
(C) 35%
(D) 37.5%
(E) 40%
Rationale: Assume the total price = 100x
Price after 20% markup = 120x
Price after 25%further markup = 1.25*120x = 150x
Price after the discount = 0.8*150x = 120x
Hence total profit = 20%
Option A
Answer: (A) 20%
Question: A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 16 hrs and a machine of type S does the same job in 8 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?
(A) A)3
(B) B)4
(C) C)6
(D) D)9
(E) E)12
Rationale: Rate of machine R =1/16
Rate of machine S =1/8
since same no of machines used for R and S to do the same work in 2 hrs
So collective rate needed to finish the work in 2 hrs= 1/2
Let the no of machine be x
So, x/16 +x/8 =1/2
3x/16=1/2
x=16/6=3
So no of machine R is 3
Answer A
Answer: (A) A)3
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
(A) 12/458
(B) 12/455
(C) 12/455
(D) 12/451
(E) 12/452
Rationale: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
When three marbles are drawn, the probability that one is yellow and two are red
= (²C₁)(⁴C₂)/¹⁵C₃
= (2 * 4 * 3 * 3 * 2)/(1 * 2 * 15 * 14 * 13) = 12/455.Answer: C
Answer: (C) 12/455
Question: The length of a rectangle is halved, while its breadth is tripled. Watis the % change in area?
(A) 40%
(B) 47%
(C) 50%
(D) 59%
(E) 60%
Rationale: Let original length = x and original breadth = y.
Original area = xy.
New length = x .
2
New breadth = 3y.
New area = x x 3y = 3 xy.
2 2
Increase % = 1 xy x 1 x 100 % = 50%.
2 xy
C
Answer: (C) 50%
Question: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is?
(A) 1/8
(B) 1/2
(C) 1/6
(D) 1/5
(E) 1/3
Rationale: The number of exhaustive outcomes is 36.
Let E be the event of getting an even number on one die and an odd number on the other. Let the event of getting either both even or both odd then = 18/36 = 1/2
P(E) = 1 - 1/2 = 1/2.
Answer:B
Answer: (B) 1/2
Question: Brand X coffee costs twice as much as brand Y coffee. If a certain blend is 3/4 brand X and 1/4 brand Y. what fraction of the cost of the blend is Brand X?
(A) a. 6/7
(B) b. 2/5
(C) 3. 1/2
(D) 4. 2/3
(E) 5. 3/4
Rationale: Assume Cost of X= Ca = 200 , Cost of Y = Cb=100
The blend contains 0.75 X and 0.25 Y ---> Cost of the blend = Cbl = 0.75*200+0.25*100= 175
Thus fraction of X in the blend = 0.75*200/175 = 6/7.
Answer : A
Answer: (A) a. 6/7
Question: Two trains start at same time from two stations and proceed towards each other at the rate of 20 km/hr and 25 km/hr respectively. When they meet, it is found that one train has traveled 75 km more than the other. What is the distance between the two stations?
(A) 540 km
(B) 675 km
(C) 276 km
(D) 178 km
(E) 176 km
Rationale: Explanation:
Let us assume that trains meet after 'x' hours
Distance = speed * Time
Distance traveled by two trains = 20x km and 25x km resp.
As one train travels 75km more than the other,
25x â€“ 20x = 75
5x = 75
x = 15 hours
As the two trains are moving towards each other, relative speed = 20 + 25 = 45 km/hr
Therefore, total distance = 45*15 = 675 km.
ANSWER: B
Answer: (B) 675 km
Question: A bulldog received 1,600 votes in a bulldog competition, giving him 20 percent of the votes. What percent of the remaining votes would he have needed to receive in order to win 25 percent of the total votes?
(A) 6.25%
(B) 12.5%
(C) 15%
(D) 17.5%
(E) 20%
Rationale: There were 80% of the votes remaining and he needed 5%/80% = 1/16 = 6.25%
The answer is A.
Answer: (A) 6.25%
Question: The speed of a car is 120 km in the first hour and 60 km in the second hour. What is the average speed of the car?
(A) 89 kmph
(B) 92 kmph
(C) 90 kmph
(D) 65 kmph
(E) 77 kmph
Rationale: S = (120 + 60)/2 = 90 kmph
C
Answer: (C) 90 kmph
Question: A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:
(A) 4
(B) 5
(C) 6
(D) 7
(E) 8
Rationale: Time from 7 am to 4.15 pm = 9 hrs 15 min = hrs
3 min. 5 sec. of this clock = 3 min. of the correct clock.
hrs of this clock = hrs of the correct clock
hrs of clock = hrs of the correct clock.
=9 hrs of the correct clock.
The correct time is 9 hrs after 7 am. i.e., 4 pm.
Answer: A) 4pm
Answer: (A) 4
Question: Julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest. After two years she earned $128 and $140 from the simple interest account and the compound interest account respectively. If the interest rates for both accounts were the same, what was the amount of Julie's initial savings?
(A) 640
(B) 720
(C) 1080
(D) 1200
(E) 1440
Rationale: $128 for 2 years = $64 per year.
Extra $12 yearned with the compound interest is the percent yearned on percent. So, $12 is yearned on $64, which means that the interest = 5%.
This on the other hand means that half of the savings = 64*5 = $320. Twice of that = $640.
Answer: A.
Answer: (A) 640
Question: Find the average of all the numbers between 6 and 34 which are divisible by 6.
(A) 18
(B) 20
(C) 24
(D) 30
(E) 21
Rationale: Solution
Average	= ((12+18+24+30)/5)
= 84 / 4
= 21.
Answer E
Answer: (E) 21
Question: There are 6 more women than there are men on a local co-ed softball team. If there are a total of 24 players on the team, what is the ratio of men to women?
(A) 10/16
(B) 9/15
(C) 4/16
(D) 6/10
(E) 4/10
Rationale: w = m+6
w+m = 24
m+6+m = 24
2m = 18
m = 9
w = 15
ratio:9:15
Ans: B
Answer: (B) 9/15
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is
(A) 4 : 9
(B) 4 : 3
(C) 4 : 12
(D) 4 : 8
(E) 4 : 5
Rationale: Let us name the trains as A and B. Then, (A's speed) : (B's speed) = b : a = 16 : 9 = 4 : 3.
Answer: B
Answer: (B) 4 : 3
Question: The profits of QRS company rose 40% from March to April, then dropped 20% from April to May, then rose 50% from May to June. What was the percent increase for the whole quarter, from March to June?
(A) 15%
(B) 32%
(C) 40%
(D) 68%
(E) 80%
Rationale: Assume 100 in march , then 140 in April as 40% increase , Then 112 in may as 20% decrease from April , and then 168 in june which is 150% of 112 .
So overall increase is from 100 to 168 is 68%
Answer D
Answer: (D) 68%
Question: P is able to do a piece of work in 15 days and Q can do the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?
(A) 8/15
(B) 7/15
(C) 11/15
(D) 2/11
(E) 7/11
Rationale: Explanation :
Amount of work P can do in 1 day = 1/15
Amount of work Q can do in 1 day = 1/20
Amount of work P and Q can do in 1 day = 1/15 + 1/20 = 7/60
Amount of work P and Q can together do in 4 days = 4 × (7/60) = 7/15
Fraction of work left = 1 – 7/15= 8/15
Answer : Option A
Answer: (A) 8/15
Question: The length of a room is 6.5 m and width is 2.75 m. What is the cost of paying the floor by slabs at the rate of Rs.600 per sq. metre.
(A) Rs.18725
(B) Rs.16725
(C) Rs.30725
(D) Rs.10725
(E) Rs.20725
Rationale: Area =6.5*2.75 sq. metre.
Cost for sq. metre. = Rs.600
Hence, total cost=6.5*2.75*600
=Rs.10725
ANSWER:D
Answer: (D) Rs.10725
Question: . In digging a pond 22 m * 12 m * 5 m the volumes of the soil extracted will be?
(A) 3223
(B) 1320
(C) 1400
(D) 1560
(E) 3000
Rationale: 22 * 12 * 5 = 1320
Answer: B
Answer: (B) 1320
Question: A sum fetched a total simple interest of $4106.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?
(A) $8829
(B) $2840
(C) $6578
(D) $7782
(E) $8927
Rationale: E
8927
Principal
= $100 x 4106.25/9 x 5
= $410625/45
= $8927.
Answer: (E) $8927
Question: In a group of 25 factory workers, 14 have brown eyes. Six of the women do not have brown eyes. How many of the 11 men have brown eyes.
(A) 10
(B) 9
(C) 8
(D) 7
(E) 6
Rationale: Total number of worker (M+W): 25
No. of men (M): 11 (Inferred fromHow many of the 11 men)
No. of women (W): 14
Total no. of workers who have brown eyes (B): 14
No. of women who do not have brown eyes: 6
Therefore, no. of women who have brown eyes: W - 6 = 14 - 6 = 8
Remaining 6 are men. (B - 8= 14- 8= 6)
So 6 out of 11 men have brown eyes.
E
Answer: (E) 6