mathewhe/aqua_rat huggingface dataset:
Question: The owner of a furniture shop charges his customer 15% more than the cost price. If a customer paid Rs. 8325 for a computer table, then what was the cost price of the computer table?
(A) Rs.6725
(B) Rs.7239.13
(C) Rs.6908
(D) Rs.6725
(E) Rs.6728
Rationale: CP = SP * (100/(100 + profit%))
= 8325(100/115) = Rs.7239.13.
Answer: B
Answer: (B) Rs.7239.13
Question: Sam took a loan from his local bank to support his small business. He is expected to double the amount he paid the previous month till he repays a total of $128000. His first payment is $250.
(A) 10
(B) 14
(C) 12
(D) 13
(E) 15
Rationale: First payment--$250
Total amount to be repaid--$128000
First month payment--$250
Second month payment--$250*2=$500
Third month payment--$500*2=$1000
Fourth month payment--$1000*2=$2000
Fifth month payment--$2000*2=$4000
Sixth month payment--$4000*2=$4000
Seventh month payment--$4000*2=$8000
Eight month payment--$8000*2=$16000
Ninth month payment--$16000*2=$32000
Tenth month payment--$32000*2=$64000
Eleventh month payment--$32000*2=$64000
Twelfth month payment--$32000*2=$64000
Thirteenth month payment--$64000*2=$128000
Answer is D
Answer: (D) 13
Question: What is the smallest number which when increased by 3 is divisible by 18, 70, 100 and 84?
(A) 5307
(B) 5647
(C) 5927
(D) 6297
(E) 6557
Rationale: When increased by 3, the number must include at least 2^2*3^2*5^2*7 = 6300
The answer is D.
Answer: (D) 6297
Question: Tough and Tricky questions: Statistics.
Set X consists of prime numbers {3, 11, 7, G, 17, 19}. If integer Y represents the product of all elements in set X and if 11Y is an even number, what is the range of set X?
(A)  14
(B)  16
(C)  17
(D)  20
(E)  26
Rationale: Since 11Y = Even therefore Y has to beEVENsince 11 is a odd integer (Even * Odd = Even)
Similarly, Y is the product of all integers in set X But all integers in Set X are odd except the unknown G and since X contains only prime numbers, G has to equal to 2... ( 2 is the only even prime number and the product of all prime numbers in set X has to be Even, Even * Odd = Even)
Since you know value of G you can calculate the range = Largest integer in the set minus Smallest integer in the set = 19-2 =17
Answer is C
Answer: (C)  17
Question: The C.P of 30 books is equal to the S.P of 40 books. Find his gain% or loss%?
(A) 23%
(B) 24%
(C) 25%
(D) 50%
(E) 40%
Rationale: explanation:
30 CP = 40 SP
40 --- 10 CP loss
100 --- ? => 25% loss
Answer: C
Answer: (C) 25%
Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 30 as remainder. Find the no. is?
(A) 122443
(B) 154546
(C) 165454
(D) 186545
(E) 220030
Rationale: (555 + 445) * 2 * 110 + 30 = 220000 + 30 = 220030
E
Answer: (E) 220030
Question: A certain manufacturer sells its products	to stores in 113 different	regions worldwide, with an average (arithmetic mean) of 171 stores per region. If last year these stores sold an	average of 51,752 units of the manufacturer’s product per store, which of the following is closest to the total number of units of manufacturer’s product	sold	worldwide last	year?
(A) 10^5
(B) 10^6
(C) 10^7
(D) 10^8
(E) 10^9
Rationale: 51752*171*113 or
51000*170*113 or
50000*200*100
=10^9
E
Answer: (E) 10^9
Question: How many keystrokes are needed to type numbers from 1 to 200?
(A) 400
(B) 500
(C) 492
(D) 200
(E) None of these
Rationale: Explanatory Answer
While typing numbers from 1 to 200, there are 9 single digit numbers: from 1 to 9.
Each of these numbers requires one keystroke.
That is 9 key strokes.
There are 90 two-digit numbers: from 10 to 99.
Each of these numbers requires 2 keystrokes.
Therefore, 180 keystrokes to type the 2-digit numbers.
There are 101 three-digit numbers: from 100 to 200.
Each of these numbers requires 3 keystrokes.
Therefore, 303 keystrokes to type the 3-digit numbers.
Totally, therefore, one requires 9 + 180 + 303 = 492 keystrokes.
Choice C is the correct answer.
Answer: (C) 492
Question: Three people who work full-time are to work together on a project, but their total time on the project is to be equivalent to that of only one person working full-time. If one of the people is budgeted for 1/2 of his time to the project and a second person for 1/3 of her time, what part of the third worker's time should be budgeted to this project?
(A) 1/3
(B) 1/4
(C) 1/6
(D) 1/8
(E) 1/9
Rationale: Explanation:
One-half (1/2) plus one-third (1/3) equals five-sixths (5/6), so one-sixth (1/6) of the third worker's time should be budgeted to the project in order for the total time to be equivalent to that of one person working full-time.
If x 2 - x - 6 = 0, then (x + 2)(x - 3) = 0, so x = -2 or x = 3.
Correct answer : A
Answer: (A) 1/3
Question: A rectangular grassy plot 110m by 65cm has a gravel path .5cm wide all round it on the inside. Find the cost of gravelling the path at 80 paise per sq.mt
(A) 680
(B) 378
(C) 267
(D) 299
(E) 271
Rationale: Explanation:
area of theplot = 110 * 65 = 7150 sq m
area of the plot excluding the path = (110-5)* (65-5) = 6300 sq m
area of the path = 7150 - 6300 =850 sq m
cost of gravelling the path = 850 * 80/100 = 680 Rs
Answer: A) 680rs
Answer: (A) 680
Question: Two pipes can fill a tank in 15 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
(A) 1/15
(B) 1/16
(C) 1/11
(D) 1/9
(E) 1/12
Rationale: Part of the filled by all the three pipes in one minute
= 1/15 + 1/15 - 1/45 = 1/9
So, the tank becomes full in 9 minutes.
Answer:D
Answer: (D) 1/9
Question: The average (arithmetic mean) of four numbers is 4x + 9. If one of the numbers is x, what is the average of the other three numbers?
(A) x + 1
(B) 3x + 3
(C) 5x + 1
(D) 5x + 4
(E) 5x + 12
Rationale: The sum of all four numbers is 4 * (4x + 9) = 16x + 36.
If one of the numbers is x, the sum of the other 3 numbers is 15x+36.
The average of the remaining three numbers is (15x+36)/3 = 5x+12.
The answer is E.
Answer: (E) 5x + 12
Question: How many litres of pure acid are there in 15 litres of a 20% solution
(A) 4
(B) 5
(C) 2
(D) 3
(E) 1
Rationale: Explanation:Question of this type looks a bit typical, but it is too simple, as below... It will be 15 * 20/100 = 3 Answer: Option D
Answer: (D) 3
Question: We have 20 thousand dollars that must be invested among 4 possible
mutual funds. Each investment must be in units of 1 thousand dollars,
and there are minimal investments that need to be made if one is to
invest in these funds. The minimal investments are 2, 2, 3 and 4 thou-
sand dollars. How many dierent investment strategies are available if
an investment must be made in each mutual fund?
(A) 220
(B) 240
(C) 260
(D) 280
(E) 300
Rationale: Since minimal investments must be made for 2, 2, 3, and 4 thousand dollars into
the four mutual funds, this leaves 20-2-2-3-4 = 9 thousand dollars to invest as one
pleases. Thus, we want to determine the number of ways of dividing up 9 thousand dollars
among 4 different mutual funds. Consider 12 different boxes aligned as shown and check
three of them:Here, we have checked the first, fifth, and tenth boxes. Each such diagram corresponds to
a way of investing the remaining money as follows. We order the mutual funds. Count
the number of unchecked boxes to the left of the first checkmark. Call this number k1.
In the illustration above, k1 = 0. Next, count the number of unchecked boxes between
the first two checkmarks. Call this number k2. In the illustration, k2 = 3. Next, call
k3 the number of unchecked boxes between the second and third checkmarks, and call k4
the number of unchecked boxes after the third checkmark. Thus, k3 = 4 and k4 = 2.
Observe that k1 + k2 + k3 = 9, the total number of unchecked boxes. Make additional
investments (beyond the required minimal investments) of k1 thousand dollars in the first
fund, k2 thousand dollars in the second fund, k3 thousand dollars in the third fund, and
k4 thousand dollars in the fourth fund. Thus, the total number of dierent investments is
the same as the number of ways of choosing three blocks (to check) from among 12 blocks.
This number is(12 3)=12/3*9=12*11*10/3*2*1=220
correct answer A
Answer: (A) 220
Question: A rectangular courtyard, the sides of which are in the ratio of 4:3, cost Rs.600 for paving at 50 p per m2; find the length of the diagonal of the courtyard?
(A) 17 m
(B) 45 m
(C) 54 m
(D) 77 m
(E) 34 m
Rationale: 1 m2 ---- 1/2
? ----- 600 => 1200 m2
4x * 3x = 1200 => x = 10
Answer: B
Answer: (B) 45 m
Question: what is the least number by which 16,800 must be divided to get a number perfect square
(A) 21
(B) 42
(C) 24
(D) 40
(E) 45
Rationale: 16,800/42=400
400=(20)^2
Ans-42
ANSWER:B
Answer: (B) 42
Question: What is the value of (44444445*88888885*44444442+44444438/44444444^2)
(A) 88888883
(B) 88888884
(C) 88888885
(D) 88888886
(E) 88888873
Rationale: let x=44444444,then
44444445=x+1
88888885=2x-3
44444442=x-2
44444438=x-6
44444444^2=x^2
then substitute it in equation
(x+1)(2x-3)(x-2)+(x-6)/x^2
ans is 2x-5 i.e 88888883
ANSWER:A
Answer: (A) 88888883
Question: The concentration of spirit in three different vessels A, B and C are 45%, 30% and 25% respectively. If 4 litres from vessel A, 5 litres from vessel B and 6 litres from vessel C are mixed, find the concentration of spirit in the resultant solution.
(A) 32%
(B) 33%
(C) 34%
(D) 35%
(E) 36%
Rationale: Quantity of spirit in new solution=(4*45/100)+(5*30/100)+(6*25/100)=1.8+1.5+1.5=4.8 liters
So % concentration of spirit=100*4.8/(4+5+6)=32%
ANSWER:A
Answer: (A) 32%
Question: A sum of money invested at compound interest to Rs. 800 in 3 years and to Rs 830 in 4 years. The
rate on interest per annum is.
(A) 4.60%
(B) 5.55%
(C) 7.66%
(D) 7.0%
(E) 3.75%
Rationale: Explanation:
S.I. on Rs 800 for 1 year = 30
Rate = (100*30)/(800*1) = 3.75%
Answer: E
Answer: (E) 3.75%
Question: A person crosses a 800 m long street in 5 minutes. What is his speed in km per hour?
(A) 1.23
(B) 2.86
(C) 4.36
(D) 9.25
(E) 9.61
Rationale: distance = 800 meter
time = 5 minutes = 5 x 60 seconds = 300 seconds
Speed = distance/time=800/300=2.67 m/s=2.67Ã—18/5 km/hr=9.61 km/hr
Answer :E
Answer: (E) 9.61
Question: If the average (arithmetic mean) of (2a+16) and (3a-8) is 89, what is the value of a?
(A) 25
(B) 30
(C) 28
(D) 34
(E) 42
Rationale: ((2a+16) + (3a-8)) / 2 = (5a+8)/2 = 89
a= 34
The answer is D.
Answer: (D) 34
Question: A regular nine side is inscribed in a circle. If A and B are adjacent vertices of the pentagon and O is the center of the circle, what is the value of ∠OAB ?
(A) 48 degrees
(B) 54 degrees
(C) 72 degrees
(D) 70 degrees
(E) 108 degrees
Rationale: its a regular nine side so divide the globe by 9.
= 360/9
= 40
40 would be the angle at O.
Angles at A and B are equivalent, so
40 + 2x = 180
2x = 140
x = 70
Angles OAB and OBA will be 70 degrees each.
D
Answer: (D) 70 degrees
Question: Find the greatest number which leaves the same remainder when it divides 25, 50 and 120.
(A) 18
(B) 5
(C) 12
(D) 16
(E) None of these
Rationale: 120 - 50 = 70
50 - 25 = 25
120 - 25 = 95
The H.C.F of 25, 70 and 95 is 5.
ANSWER:B
Answer: (B) 5
Question: Ayesha's father was 28 years of age when she was born while her mother was 20 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
(A) 2 years
(B) 4 years
(C) 12 years
(D) 8 years
(E) 10 years
Rationale: Explanation:
Mother's age when Ayesha's brother was born = 20 years.
Father's age when Ayesha's brother was born = (28 + 4) years = 32 years.
Required difference = (32 - 20) years = 12 years.
Answer: C
Answer: (C) 12 years
Question: A can do a piece of work in 10 days and B alone can do it in 15 days. How much time will both take to finish the work ?
(A) 2 days
(B) 7 days
(C) 6 days
(D) 9 days
(E) 3 days
Rationale: C
6 days
Time taken to finish the job = XY / (X + Y)
= 10 x 15 / (10 + 15)
= 150 / 25
= 6 days
Answer: (C) 6 days
Question: What is the mass of the man, if a boat of length 4m, width 1.5m floating on a river sinks by 0.015 m when the man gets on the boat?
(A) 100kg
(B) 90kg
(C) 80kg
(D) 70kg
(E) None of these
Rationale: SOLUTION :
Volume of water displaced = 4*1.5*0.015 = 0.09m3
Mass = volume of water displaced * density of water
Mass = 0.09 * 1000
Mass = 90kg
ANSWER IS B
Answer: (B) 90kg
Question: Which of the following is equal to 1(1/4)%?
(A) 0.012/100
(B) 0.12/100
(C) 1.25/100
(D) 12/100
(E) 12/10
Rationale: This notation may be confusing for some, since it looks like we're multiplying 1 and 1/4
How about adding a space:Which of the following is equal to (1 1/4)%
(1 1/4)% = 1.25% = 1.25/100
Answer:
C
Answer: (C) 1.25/100
Question: The H.C.F. of two numbers is 12 and their difference is 12. The numbers are :
(A) 66, 78
(B) 70, 82
(C) 94, 106
(D) 84, 96
(E) None of these
Rationale: Explanation:
Out of the given numbers, the two with H.C.F. 12 and difference 12 are 84 and 96.
ANSWER IS D
Answer: (D) 84, 96
Question: The median annual household income in a certain community of 21 households is $50,000. If the mean E income of a household increases by 10% per year over the next 2 years, what will the median income in the community be in 2 years?
(A)  $50,000
(B)  $60,000
(C)  $60,500
(D)  $65,000
(E)  Cannot be determined
Rationale: Answer is E, because there are different numbers in the set and we are not sure which side of the numbers in the set will be increased so the mean E is increase by 10%. It could be the case that small number of higher end incomes increased a little or many low end incomes increased - it cannot be identified.
Answer: (E)  Cannot be determined
Question: A group of 3 CEOs and 2 employees recently frequented the Bohemian Ala Restaurant. The total bill for the meal, including 20% gratuity, came to $600. On average, how much did the meal of each individual cost before gratuity?
(A) $160
(B) $96
(C) $90
(D) $10
(E) $55
Rationale: 3 CEOs and 2 employees - so total 5 people
The bill $600 includes 20% gratuity... so the actual cost of dinner was $500
Now, the cost per person will be $500/5 which is $10
Option D
Answer: (D) $10
Question: 4 dice are thrown simultaneously on the board. Find the probability show the same face.
(A) 1/115
(B) 2/113
(C) 1/216
(D) 3/114
(E) None
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: P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it in
(A) 30 days
(B) 25 days
(C) 20 days
(D) 15 days
(E) 24 days
Rationale: Work done by P and Q in 1 day = 1/10
Work done by R in 1 day = 1/50
Work done by P, Q and R in 1 day = 1/10 + 1/50 = 6/50
But Work done by P in 1 day = Work done by Q and R in 1 day . Hence the above equation can be written as
Work done by P in 1 day × 2 = 6/50
=> Work done by P in 1 day = 3/50
=> Work done by Q and R in 1 day = 3/50
Hence work done by Q in 1 day = 3/50 – 1/50 = 2/50 = 1/25
So Q alone can do the work in 25 days
Option B
Answer: (B) 25 days
Question: Sahil purchased a machine at Rs 10000, then got it repaired at Rs 5000, then gave its transportaƟon
charges Rs 1000. Then he sold it with 50% of profit. At what price he actually sold it
(A) Rs. 22000
(B) Rs. 24000
(C) Rs. 26000
(D) Rs. 28000
(E) None of these
Rationale: Explanation:
Question seems a bit tricky, but it is very simple.
Just calculate all Cost price, then get 150% of CP.
C.P. = 10000 + 5000 + 1000 = 16000
150% of 16000 = 150/100 * 16000 = 24000
Answer: B
Answer: (B) Rs. 24000
Question: If a, b, and c are consecutive positive even integers and a > b > c, which of the following could be equal to a - b - c ?
(A) 6
(B) 2
(C) -1
(D) -3
(E) -4
Rationale: a = 2n (n>=3), b = 2n - 2, c = 2n - 4
a -b -c = 2n - (2n-2) - (2n-4) = 6 - 2n <= 0
since n >=3 ,
even -> E
ANSWER:E
Answer: (E) -4
Question: Two cars A and B start from Boston and New York respectively simultaneously and travel towards each other at constant speeds along the same route. After meeting at a point between Boston and New York the two cars A and B proceed to their respective destinations of New York and Boston. Car A reaches New York 100 minutes after the two cars have met and Car B reaches Boston 90 minutes after they have met. How long did Car A take to cover the distance between Boston and New York?
(A) 1 hour
(B) 1 hour 10 minutes
(C) 2 hours 30 minutes
(D) 1 hour 40 minutes
(E) 2 hours 40 minutes
Rationale: Both cars leave at the same time
Both cars travel at constant speed
Stealing a useful piece of information from Paragkan:
If two objects A and B start from opposite points and, after having met en route, reach their respective destinations in a and b mins (or any other measure of time) respectively, then the ratio of their speeds
ratio of speed: (a/b) = sq. rt(b/a)
sq. rt(b/a)
sq. rt(90/100)
sq. rt(3/2)
So, for every three units of distance A travels, B travels two. Because we know the ratio of speed and the time it took B to travel the distance A hasn't yet covered, we can find the time it took A to cover the distance B did in 90 minutes.
90*(2/3)where 2/3 represents the lesser amount of time it took A to travel the distance B did in 90 minutes.
= 60 minutes.
Therefore, A took 100 minutes to travel the first portion then 60 minutes to travel the distance B did in 90 minutes. A spent (100+60)=160 minutes on the road.
E. 2 hours 40 minutes
Answer: (E) 2 hours 40 minutes
Question: In a kilometer race, A beats B by 48 meters or 12 seconds. What time does A take to complete the race?
(A) 238 sec
(B) 190 sec
(C) 667 sec
(D) 167 sec
(E) 176 sec
Rationale: Time taken by B run 1000 meters = (1000 * 12)/48 = 250 sec.
Time taken by A = 250 - 12 = 238 sec.Answer: A
Answer: (A) 238 sec
Question: In how many ways Principal and a vice Principle can be elected from a team of 20 members?
(A) 480
(B) 380 ways
(C) 830
(D) 840
(E) 540
Rationale: To do this, if captain is elected first, then we have 20 ways of doing this.
For election of vice-captain, we have only 19 ways left, Bcoz 1 way is already consumed. (Situations like this is called dependent situation. One selection depends upon other selection.)
So, the ans is 20*19 = 380ways.
Ans : B
Answer: (B) 380 ways
Question: Set A of 8 positive integers may have the same element and have 36. And set B of 8 positive integers must have different elements and have 36. When m and n are the greatest possible differences between 36 and other elements’ sums in set A and set B, respectively, m-n=?
(A) 20
(B) 21
(C) 23
(D) 25
(E) 26
Rationale: This is maximum-minimum. Hence, 36-(1+1+1+1+1+1+1)=29 and 36-(1+2+3+4+5+6+7)=8. So, 29-8=21. The correct answer is B.
Answer: (B) 21
Question: John spent a total of $135 on baseball tickets. The price of a ticket is either $12 for the field seats or $5 for the balcony. What is the minimum amount Z of dollars he could have spent for the $12 tickets?
(A) $48
(B) $60
(C) $84
(D) $96
(E) $120
Rationale: 60 ..... 12 *5 Z= 60. (min). Thus answer .B
Answer: (B) $60
Question: Free notebooks were distributed in a class among all the students. Each student got notebooks which were one-eighth of the number of student. If number of student been half, then each child would have received 16 notebooks in total. Find the total number of books distributed among students?
(A) 234
(B) 254
(C) 265
(D) 340
(E) 512
Rationale: Let suppose total number of students in class are X.
Then from the question we can conclude it that,
X∗18X=X2∗16=>X=64Total notebooks,=18X2=(18∗64∗64)=512
E
Answer: (E) 512
Question: Find the largest 4 digit number which isexactly divisible by 88?
(A) 8560
(B) 8950
(C) 9944
(D) 10000
(E) 10200
Rationale: Largest 4 digit number is 9999
After doing 9999 ÷ 88 we get remainder 55
Hence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944
C
Answer: (C) 9944
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?
(A) 23/35
(B) 23/37
(C) 23/39
(D) 23/32
(E) 23/31
Rationale: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
Probability that at least one green marble can be picked in the random draw of two marbles = Probability that one is green + Probability that both are green
= (6 * 9 * 2)/(15 * 14) + (6 * 5)/(15 * 14) = 36/70 + 1/7
= 46/70 = 23/35
Answer: A
Answer: (A) 23/35
Question: By selling a watch for Rs. 720/- a man loses 20% at what price should he sell it to gain 10%?
(A) Rs.810/-
(B) Rs.880/-
(C) Rs.900/-
(D) Rs.990/-
(E) None of these
Rationale: Explanation:
80 % ------> 720 (80 * 9 = 720)
110 % ------> 880 (110 * 9 = 990)
= Rs.990/-
Answer: Option D
Answer: (D) Rs.990/-
Question: 7, 10, 8, 11, 9, 12, ?
(A) 13
(B) 12
(C) 10
(D) 9
(E) 8
Rationale: This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.
Answer : C.
Answer: (C) 10
Question: An unbiased die is tossed.Find the probability of getting a multiple of 3.
(A) 1
(B) 4/3
(C) 1/3
(D) 2/3
(E) 1/2
Rationale: S = {1,2,3,4,5,6}
Let E be the event of getting the multiple of 3
Then, E = {3,6}
P(E) = n(E)/n(S) = 2/6 = 1/3
ANSWER:C
Answer: (C) 1/3
Question: To furnish a room in a model home an interior decorator is to select 2 chairs and 2 tables from the collection of chairs and tables in a warehouse that are all different from each other. If there are 5 chairs in the warehouse and if 150 different combinations are possible, how many tables w are there in the warehouse?
(A) 6
(B) 8
(C) 10
(D) 15
(E) 30
Rationale: Total number of ways to choose 2 chairs from 5 w= 5C2=10
Total number of combination=150
That means we need get 15 combinations from the selection of tables....
Screening through the answers.... 6C2=15..... 15*10=150
Answer is 6... A
Answer: (A) 6
Question: Two pipes A and B can fill a tank in 12 and 24 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?
(A) 5 minutes
(B) 10 minutes
(C) 9 minutes
(D) 7 minutes
(E) 8 minutes
Rationale: Part filled by pipe A in 1 minute =1/12
Part filled by pipe B in 1 minute =1/24
Part filled by pipe A and pipe B in 1 minute=1/12+1/24=1/8
both the pipe together can fill the tank in 8 minutes
Answer is E
Answer: (E) 8 minutes
Question: The present worth of Rs.845 due in 2 years at 4% per annum compound interest is
(A) Rs.150.50
(B) Rs.154.75
(C) Rs.781.25
(D) Rs.158
(E) None
Rationale: Solution
Present Worth	= Rs.[845/(1+4/100)²]
= Rs.(845x25/26x25/26)
= Rs.781.25
Answer C
Answer: (C) Rs.781.25
Question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
(A) 0
(B) 1
(C) 10
(D) 19
(E) 8
Rationale: Average of 20 numbers = 0.
Sum of 20 numbers (0 x 20) = 0.
It is quite possible that 19 of these numbers may be positive and if their sum is a then 20th number is (-a).
Answer : D
Answer: (D) 19
Question: Two musicians, Maria and Perry, work at independent constant rates to tune a warehouse full of instruments. If both musicians start at the same time and work at their normal rates, they will complete the job in 45 minutes. However, if Perry were to work at thrice Maria’s rate, they would take only 20 minutes. How long would it take Perry, working alone at his normal rate, to tune the warehouse full of instruments?
(A) 1 hr 20 min
(B) 1 hr 7 min
(C) 2 hr
(D) 2 hr 20 min
(E) 3 hr
Rationale: Sol:
Lets Perry Rate be P and Rate of Maria be M
(rate)*(time)= Work or rate = work/time
first equation=> P+M = 1/45
converting it to hrs P+M= 1/(45/60) => 1/(3/4) =>4/3
second equation => M+3M =>1/20
converting it to hrs 4M=1/(20/60) =>1/(1/3) =>3
therefore M= 3/4 and P=7/12
Rate of Perry = 7/12
time= work/rate (work = 1 job)
Time= 1 hrs 7 mins
Answer : B
Answer: (B) 1 hr 7 min