mathewhe/aqua_rat huggingface dataset:
Question: A drink vendor has 40 liters of Maaza, 144 liters of Pepsi and 368 liters of Sprite. He wants to pack them in cans, so that each can contains the same number of liters of a drink, and doesn't want to mix any two drinks in a can. What is the least number of cans required?
(A) 35
(B) 37
(C) 42
(D) 50
(E) 69
Rationale: The number of liters in each can = HCF of 40, 144 and 368 = 8 liters.
Number of cans of Maaza = 40/8 = 5
Number of cans of Pepsi = 144/8 = 18
Number of cans of Sprite = 368/8 = 46
The total number of cans required = 5 + 18 + 46 = 69 cans.
ANSWER:E
Answer: (E) 69
Question: Find the third proportional to 4 and 16?
(A) 80
(B) 12
(C) 64
(D) 78
(E) 72
Rationale: Formula = Third proportional = (b × b)/a
A = 4 and B = 16
(16 × 16)/ 4 = 256/4 = 64
C
Answer: (C) 64
Question: A train 360 m long runs with a speed of 45 km/hr. What time will it take to pass a platform of 140 m long?
(A) 38 sec
(B) 35 sec
(C) 44 sec
(D) 40 sec
(E) none of these
Rationale: Speed = 45 km/hr = 45 × (5/18) m/s
= 150/12 = 50/4 = 25/2 m/s
Total distance = length of the train + length of the platform
= 360 + 140 = 500 meter
Time taken to cross the platform = 500/(25/2) = 500 × 2/25 = 40 seconds
ANSWER:D
Answer: (D) 40 sec
Question: A tank fills in the sequence of 10, 20, 40, 80.... (Means 10 litres in 1 hr, 20 litres in 2nd so on.). If at the 4th hour the tank is 1/4 full .When will it be full?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Rationale: At the 4th hour, it ll fill 80 litres
80 litres is 1/4th of a tank...then the full tank can have 80 * 4 = 320 litres
Given series 10, 20 ,40 ,80, (ie) each litre is double of previous litres
so at the 5th hour tank filled ll be 80 * 2 = 160liters
At the 6th hr it ll fill the full tank (ie) 160 * 2 = 320
So the tank ll be full at 6th hr
ANSWER:D
Answer: (D) 6
Question: A can do a piece of work in 24 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
(A) 9
(B) 77
(C) 66
(D) 55
(E) 12
Rationale: 8/24 + 6/x = 1
X =9 days
Answer:A
Answer: (A) 9
Question: When tossing two coins once, what is the probability of heads on both the coins?
(A) 2/8
(B) 4/5
(C) 3/7
(D) 6/7
(E) 1/4
Rationale: Explanation :
Total number of outcomes possible when a coin is tossed = 2 (∵ Head or Tail)
Hence, total number of outcomes possible when two coins are tossed, n(S) = 2 × 2 = 4
E = event of getting heads on both the coins = {HH}
Hence, n(E) = 1
P(E)=n(E)/n(S)=1/4
Answer:E
Answer: (E) 1/4
Question: Whats the reminder when 54,879,856,985,421,547,895,689,874,525,826,547 is divided by 2
(A) 1
(B) 7.
(C) 2.
(D) 3
(E) 9
Rationale: A number ending in a 0 is divisible by 2.
Given the obscene number, you should immediately be convinced that you will need to focus on a very small part of it.
54,879,856,985,421,547,895,689,874,525,826,547 = 54,879,856,985,421,547,895,689,874,525,826,540+7
The first number is divisible by 16. You just have to find the remainder when you divide 5287 by 16. That will be the remainder when you divide the original number by 2.
7/16 gives remainder 1.
Answer (A)
Answer: (A) 1
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) 4:7
(B) 4:3
(C) 4:11
(D) 4:9
(E) 4:13
Rationale: Let us name the trains A and B.
Then, (A's speed) : (B's speed)
= √b : √a = √16 : √9 = 4:3
Answer: B
Answer: (B) 4:3
Question: Twenty four years ago,a father was three times as old as his son.Now the father is only twice as old as his son. Then the sum of the present ages of the son and the father is :
(A) 144
(B) 76
(C) 108
(D) 105
(E) 86
Rationale: Let the present ages of the father and son be 2x and x years respectively.
then,(2x-24)=3 (x-24)
x=48.
Required sum =(2x+x)=3x=144 years.
Answer is A
Answer: (A) 144
Question: A shopkeeper buys mangoes at the rate of 5 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
(A) 66 1/4 %
(B) 66 9/3 %
(C) 66 2/3 %
(D) 66 1/5 %
(E) 66 1/3 %
Rationale: The total number of mangoes bought by the shopkeeper be 15.
If he buys 5 a rupee, his CP = 3
He selling at 3 a rupee, his SP = 5
Profit = SP - CP = 5 - 3 = 2
Profit Percent = 2/3 * 100 = 66 2/3 %
Answer:C
Answer: (C) 66 2/3 %
Question: In a theater, the first row has 14 seats and each row has 3 more seats than previous row. If the last row has 50 seats, what is the total number of seats in the theater?
(A) 404
(B) 408
(C) 412
(D) 416
(E) 420
Rationale: The number of seats in the theater is
14 + (14+3) + ...+ (14+36)=
13(14) + 3(1+2+...+12)=
13(14) + 3(12)(13)/2=
13(14+18) = 13(32) = 416
The answer is D.
Answer: (D) 416
Question: Solution A is 10% salt and Solution B is 80% salt. If you have 30 ounces of solution A and 60 ounces of solution B, in what ratio could you mix Solution A with Solution B to produce 50 ounces of a 50% salt solution?
(A) 6:4
(B) 6:14
(C) 3:4
(D) 4:6
(E) 3:7
Rationale: Forget the volumes for the time being.
You have to mix 20% and 80% solutions to get 50%. This is very straight forward since 50 is int he middle of 20 and 80 so we need both solutions in equal quantities. If this doesn't strike, use
w1/w2 = (A2 - Aavg)/(Aavg - A1)
w1/w2 = (80 - 50)/(50 - 10) = 3/4
So the volume of the two solutions will be equal. Answer has to be 3:4.
C
Answer: (C) 3:4
Question: Five percent of a certain grass seed is timothy. If the amount of the mixture needed to plant one acre contains 2 pounds of timothy, how many acres can be planted with 640 pounds of the seed mixture?
(A) 12
(B) 16
(C) 20
(D) 24
(E) 120
Rationale: If the mixture contains 2 pounds of timothy, the mixture must be 40 pounds.
Thus we need 40 pounds of mixture per acre.
640 / 40 = 16 acres
The answer is B.
Answer: (B) 16
Question: Which of the following fractions E has a decimal equivalent that is a terminating decimal?
(A) 10/189
(B) 15/196
(C) 16/225
(D) 25/144
(E) 39/128
Rationale: The fraction E will terminate if and only if the denominator has prime divisors only 2 and 5 or both.
A. 10/189 = 10/(3*3*3*7) Non-term.
B. 15/196 = 15/(2*2*7*7) Non-term.
C. 16/225 = 16/(5*5*3*3) Non-term.
D. 25/144 = 25/(2*2*2*7) Non-term.
E. 39/128 = 39/(2^7) Terminatingbecause only 2 in denominator.
Answer: (E) 39/128
Question: Claudia can choose any two of four different candles and any 8 of 9 different flowers for a centerpiece arrangement. Given these choices, how many candle + flower groupings can she select?
(A) 54
(B) 72
(C) 96
(D) 144
(E) 432
Rationale: 2 candles from 4 candles: 4C2: 6
8 flowers from 9 flowers: 9C8 : 9
So total grouping
9*6= 54.
Answer is A.
Answer: (A) 54
Question: A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 30. Find the profit percentage?
(A) 58%
(B) 50%
(C) 20%
(D) 30%
(E) 70%
Rationale: L.C.M of 15 and 12 = 60
CP of 60 articles = Rs. 100 (25 * 4)
SP of 60 articles = Rs. 150 (30 * 5)
Profit percentage = (150 - 100)/100 * 100 = 50%
Answer:B
Answer: (B) 50%
Question: Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
(A) 12 min
(B) 6 min
(C) 4 min
(D) 8 min
(E) 10 min
Rationale: 1/8 + 1/24 = 1/6
6 * 2 = 12
ANSWER A
Answer: (A) 12 min
Question: The average of 11 results is 60. If the average of first six results is 58 and that of the last six is 63, find the sixth result.
(A) 22
(B) 44
(C) 66
(D) 72
(E) NOne
Rationale: Sol.
Sixth result = (58 x 6 + 63 x 6 - 60 x 11) = 6
Answer C
Answer: (C) 66
Question: A can do a piece of work in 4 hours; B and C together can do it in 2 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?
(A) 12
(B) 9
(C) 8
(D) 6
(E) 4
Rationale: A's 1 hour's work = 1/4 ;
(B + C)'s 1 hour's work = 1/2 ;
(A + C)'s 1 hour's work = 1/2 .
(A + B + C)'s 1 hour's work = ( 1/4+ 1/2) =3/4 .
B's 1 hour's work = ( 3/4 - 1/2 ) = 1/4.
Therefore A alone will take 4 hours to do the work.
E
Answer: (E) 4
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
(A) 45 km/hr
(B) 50 km/hr
(C) 54 km/hr
(D) 55 km/hr
(E) 57 km/hr
Rationale: Speed of the train relative to man =125/10 m/sec
=25/2 m/sec.
=25	/2x18/5km/hr
= 45 km/hr.
Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr.
x - 5 = 45 x =50 km/hr.
Answer:B
Answer: (B) 50 km/hr
Question: A kindergarten class is going to a play with some teachers. Tickets cost 5 dollars for children and 12 dollars for adults
Number of tickets sold amount to 163 dollars.
How many teachers and children went to the play?
(A) 8
(B) 9
(C) 10
(D) 11
(E) 12
Rationale: First, make sure you understand the problem. What the problem is really asking is the following:
How many adult tickets were sold? How many children tickets were sold?
Guess and check!
Pretend that 3 children tickets were sold. Then, 17 adult tickets were sold
Total cost = 3 × 5 + 17 × 12 = 15 + 204 = 219
The total is too high. Pretend that 14 children tickets were sold. Then, 6 adult tickets were sold
Total cost = 14 × 5 + 6 × 12 = 70 + 72 = 142
The total is a little too low now. Pretend that 12 children tickets were sold. Then, 8 adult tickets were sold
Total cost = 12 × 5 + 8 × 12 = 60 + 96 = 156
As you can see, it is going higher again and it is getting closer to 163. May be 11 tickets for children and 9 tickets for adults will work
Total cost = 11 × 5 + 9 × 12 = 55 + 108 = 163
Here we go! 11 children and 9 teachers went to the play
Answer B
Answer: (B) 9
Question: How many words can be formed from the letters of the word SIGNATURE so that the vowels always come together?
(A) 720
(B) 1440
(C) 3600
(D) 2880
(E) None of these
Rationale: The word SIGNATURE consists of nine letters comprising four vowels (A, E, I and U) and five consonants (G, N, R, T and S). When the four vowels are considered as one letter, we have six letters which can be arranged in 6P6 ways i.e 6! ways. Note that the four vowels can be arranged in 4! ways.
Hence required number of words
= 6! × 4! = 720 × 24
= 17280
Answer E
Answer: (E) None of these
Question: By selling a watch for Rs.480/-, a man loses 20% what is that watch cost price?
(A) s. 600/-
(B) s. 700/-
(C) s. 800/-
(D) s. 850/-
(E) s. 900/-
Rationale: 80 % ------> 480 (80 * 6 = 480)
100 % ------>600 (100 * 6 = 600)
Cost price = Rs. 600/-
A)
Answer: (A) s. 600/-
Question: A CAN FINISH A WORK IN 15 DAYS AND B CAN DO THE SAME WORK IN15 DAYS. B WORKED FOR 10 DAYS AND LEFT THE JOB. IN HOW MANY DAYS, A ALONE CAN FINISH THE REMAINING WORK?
(A) 5
(B) 5 1/2
(C) 6
(D) 8
(E) NONE OF THESE
Rationale: B'S 10 DAY'S WORK=(1/15*10)=2/3 REMAINING WORK = (1-2/3)=1/3
NOW, 1/18 WORK IS DONE BY A IN 1 DAY
1/3 WORK IS DONE BY A IN (15*1/3)=5 DAYS.
CORRECT OPTION:A
Answer: (A) 5
Question: Pipe A can fill the tank in 50 minutes and pipe B in 40min and pipe C can empty the tank in 2 hours. How long it will take to fill the tank if three of the pipes are operating together?
(A) 22.22
(B) 27.27
(C) 29.35
(D) 31.2
(E) 35.6
Rationale: Pipe A fills 1/50th of the tank in a minute and pipe B, 1/40th. Pipe C empties in 120min(2 hours)
(1/50)+(1/40)-(1/120)=(1/x)
22/600=1/x => x=600/22 => x=27.27 minutes
Answer: B
Answer: (B) 27.27
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
(A) 19
(B) 50
(C) 72
(D) 25
(E) 28
Rationale: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr
= 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5 = 45 ==> x = 50 km/hr.
Answer: B
Answer: (B) 50
Question: A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?
(A) 59002
(B) 59001
(C) 59008
(D) 59000
(E) 59004
Rationale: Interest received by A from B = 10% of half of Rs.50000 = 10% * 25000 = 2500.
Amount received by A per annum for being a working partner = 1500 * 12 = Rs.18000.
Let 'P' be the part of the remaining profit that A receives as his share. Total income of A = (2500 + 18000 + P)
Total income of B = only his share from the remaining profit = 'P', as A and B share the remaining profit equally.
Income of A = Twice the income of B
(2500 + 18000 + P) = 2(P)
P = 20500
Total profit = 2P + 18000
= 2*20500 + 18000 = 59000
Answer: D
Answer: (D) 59000
Question: If x and y are positive integers such that x < y and z=x/y, which of the following must be true?
I. z>(x − 1)/(y + 2)
II. z>(x − 1)/(y + 2)
III. z>(x + 1)/(y - 2)
(A) I only
(B) I and II
(C) II and III
(D) II only
(E) I and III
Rationale: x < y --> Let x = 2 and y = 3 --> z = 2/3
I. z>(x − 1)/(y + 2) --> 2/3 > 1/5 --> True
II. z>(x − 1)/(y + 2) --> 2/3 < 1/5 --> True
III. z>(x + 1)/(y - 2) --> 2/3 > 3/1 --> False
Answer: B
Answer: (B) I and II
Question: The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?
(A) 65
(B) 44
(C) 18
(D) 16
(E) 14
Rationale: Let the length and the breadth of the floor be l m and b m respectively.
l = b + 200% of b = l + 2b = 3b
Area of the floor = 324/3 = 108 sq m
l b = 108 i.e., l * l/3 = 108
l2 = 324 => l = 18.
Answer:C
Answer: (C) 18
Question: Two trains of equal lengths are running at speeds of 30 kmph and 60 kmph. The two trains crossed each other in 30 seconds when travelling in opposite direction. In what time will they cross each other when travelling in the same direction?
(A) 90
(B) 27
(C) 21 sec
(D) 92
(E) 62
Rationale: Let the length of each train be x m.
(x + x) / (60 + 30)5/18 = (750 * 18) / (30 * 5)
= 90 sec.
Answer: A
Answer: (A) 90
Question: Three years ago, Arjun’s age was double of Ajith’s age. Seven years hence, the sum of their united ages will be 83 years. The age of Arjun today is ?
(A) 47 years
(B) 45 years
(C) 35 years
(D) 24 years
(E) None of these
Rationale: Let us consider Arjun’s age to be X,
X - 3 = 2 (Y - 3) or X - 2Y = - 3 ...(i)
(X + 7) + (Y + 7) = 83 or X + Y = 69 ...(ii)
Therefore, Y= 24, X = 45.
The age of X today = 45 years
ANSWER:B
Answer: (B) 45 years
Question: If p and q are positive integers, how many integers are larger than pq and smaller than p(q + 3)?
(A) 3
(B) P + 2
(C) p – 2
(D) 3p – 1
(E) 2p + 1
Rationale: The number of integers between x and y, where x>y is (x-y)-1. For example, the number of integers between 1 and 5 is (5-1)-1=3: 2, 3, and 4.
Thus, the number of integers between pq and p(q+3)=pq+3p is (pq+3p-pq)-1=3p-1.
Answer: D.
Answer: (D) 3p – 1
Question: A river 4m deep and 40 m wide is flowing at the rate of 4 kmph the amount of water that runs into the sea per minute is?
(A) 10666
(B) 11678
(C) 12345
(D) 10678
(E) 19099
Rationale: (4000 * 4 * 40)/60
= 10666 M3
Answer:A
Answer: (A) 10666
Question: If D||D', D:2x - y = 1 and D':(a - 1)x + 2y = x - 2, then find the value of a.
(A) -3
(B) -2
(C) -1
(D) 0
(E) 1
Rationale: D:2x−y=1, D’:(a−1)x+2y=x−2
D:2x−y=1, D′:(a−1)x+2y=x−2
D∥D′⇒mD=m′
DD∥D′⇒mD=mD′
2x−y=1→y=2x−1→mD=22x−y=1→y=2x−1→mD=2
(a−1)x+2y=x−2→2y=x(1−a+1)−2→2y=x(2−a)−2→(a−1)x+2y=x−2→2y=x(1−a+1)−2→2y=x(2−a)−2→
y=x×(2−a)2−1→m′D=(2−a)2y=x×(2−a)2−1→mD′=(2−a)2
mD=m′D→(2−a)2=2→2−a=4→a=−2
ANSWER : B -2
Answer: (B) -2
Question: How much greater is the value of 3x + 5 than the value of 3x − 7?
(A) 8
(B) 10
(C) 12
(D) 14
(E) 16
Rationale: Explanation: The easiest way to do this is to pick a number for x. Let’s say x = 3.
3(3) + 5
= 9 + 5
= 14
3(3) − 7
= 9 − 7
= 2
The correct answer is 14 − 2 = 12.
Answer : (C)
Answer: (C) 12
Question: Arun bought a computer with 15% discount on the labeled price. He sold the computer for $2880 with 20% profit on the labeled price. At what price did he buy the computer?
(A) $2440
(B) $2420
(C) $2410
(D) $2310
(E) $2040
Rationale: SP = 2880
Arun sold the computer with 20% profit on the Labeled Price
⇒2880=(120×Labeled Price) / 100
⇒Labeled Price=(2880×100)/120=28800/12=96004=2400
Arun bought a computer with 15% discount on the labeled price
=> CP = (Labeled Price×85) / 100=(2400×85) / 100=24×85=2040
ANSWER:E
Answer: (E) $2040
Question: The smallest fraction, which each of 6/7, 5/14, 10/21 will divide exactly is:
(A) 30/7
(B) 30/98
(C) 60/147
(D) 50/294
(E) 52/294
Rationale: Required fraction = L.C.M of 6/7, 5/14, 10/21
= (L.C.M of 6, 5, 10) / (H.C.F of 7, 14, 21) = 30/7
ANSWER:A
Answer: (A) 30/7
Question: If Teena is driving at 55 miles per hour and is currently 7.5 miles behind Joe, who is driving at 40 miles per hour in the same direction then in how many minutes will Teena be 37.5 miles ahead of Joe?
(A) 15
(B) 60
(C) 180
(D) 90
(E) 105
Rationale: This type of questions should be solved without any complex calculations as these questions become imperative in gaining that extra 30-40 seconds for a difficult one.
Teena covers 55 miles in 60 mins.
Joe covers 40 miles in 60 mins
So teena gains 15 miles every 60 mins
Teena need to cover 7.5 +37.5 miles.
Teena can cover 7.5 miles in 30 mins
Teena will cover 37.5 miles in 150 mins
So answer 30+150= 180 mins. (ANSWER C)
Answer: (C) 180
Question: If the area of a circle is 81pi square feet, find its circumference.
(A) 15
(B) 16
(C) 17
(D) 18
(E) 19
Rationale: The area is given by pi * r *r. Hence
pi* r *r = 81 pi
r * r = 81 * hence r = 81 feet
The circumference is given by
2 * pi * r = 2 * pi *9 = 18 pi feet
correct answer D
Answer: (D) 18
Question: A person can row at 9 kmph and still water. He takes 3 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
(A) 32
(B) 28
(C) 29
(D) 54
(E) 16
Rationale: Let the distance between A and B be x km.
Total time = x/(9 + 1) + x/(9 - 1) = 3.5
=> x/10 + x/8 = 7/2 => (4x + 5x)/40 = 7/2 => x
= 16 km.
Answer:E
Answer: (E) 16
Question: Of the c students at a certain college, x are studying French and y are studying German. If w are studying both French and German, which of the following expresses the number of students at the college not studying either French or German ?
(A)  c + w- x- y
(B)  c - w- x- y
(C)  z- w - x + y
(D)  w + x + y- z
(E)  w - x - y - z
Rationale: {Total} = {French} + {German} - {Both} + {Neither}
c = x + y - w + {Neither}
{Neither} = c + w - x - y.
Answer: A.
Answer: (A)  c + w- x- y
Question: The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 27. What is the difference between the two digits of that number?
(A) 3
(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) = 27 ⇔ 9 (x - y) = 27
⇔ x - y = 3
Answer A
Answer: (A) 3
Question: The average weight of 20 persons sitting in a boat had some value. A new person added to them whose weight was 47 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 20 persons?
(A) 55
(B) 56
(C) 57
(D) 58
(E) 59
Rationale: 20x + 47 = 21(x – 5)
X=58
ANSWER:D
Answer: (D) 58
Question: If it is true that z < 8 and 2z > -4, which of the following must be true?
(A)  -8 < z < 4
(B)  z > 2
(C)  z > -8
(D)  z < 4
(E)  None of the above
Rationale: Two points:
1) z < 8
2) 2z > -4 or z > -2
From 1 and 2: -2 < z < 8
(A) is not true because z could be > 4.
(B) is not true because z could be < 2.
(C) is true because z's value is always > -8.
(D) is not true because z could be >4.
(E) is not true because C is true.
Answer: (C)  z > -8
Question: 20% of the inhabitants of a village having died of cholera, a panic set in, during which 25% of the remaining inhabitants left the village. The population is then reduced to 3000. Find the number of original inhabitants?
(A) 2500
(B) 3000
(C) 1500
(D) 2000
(E) 5000
Rationale: Let the total number of original inhabitants be x
Then, (100-25)% of (100-20)% of x = 3000
75/100 * 80/100 * x = 3000
x = 5000
Answer is E
Answer: (E) 5000
Question: Susan finds that she spends her free time during summer vacation between swimming, reading, and hanging out with friends in a ratio of 1:4:10. How many hours did she spend reading if she hung out with her friends for 20 hours?
(A) 2
(B) 4
(C) 5
(D) 8
(E) 10
Rationale: The ratio is 1 hour swimming: 4 hours reading: 10 hours hanging out with friends.
Divide 20 by 10 to find 1 "part" of the ratio.
20/10 = 2
Multiply this by 4 to find the hours spent reading.
2*4 = 8
The answer is D.
Answer: (D) 8
Question: 8 ÷ 4 (3 - 2) x 4 + 3 - 7 = ?
(A) - 3
(B) - 4
(C) 4
(D) 5
(E) 6
Rationale: Answer
Given expression = 8 ÷ 4 (3 - 2) x 4 + 3 - 7
= 8 x (1/4) x 1 x 4 + 3 - 7
= 8 + 3 - 7
= 4
Option: C
Answer: (C) 4
Question: 0.01 x 0.02=?
(A) 3.15e-05
(B) 0.000315
(C) 0.2
(D) 0.02
(E) 0.0002
Rationale: 1 x 2 = 2
Sum of decimal places =4
Therefore, 0.01 x 0.02 = 0.0002
Answer is E.
Answer: (E) 0.0002
Question: Jug contains water and orange juice in the ratio 5:7 . another jug contains water and orange juice in ratio 7 : 2 . In what proportion should these 2 liquids be mixed to give a water and orange juice in ratio 3 : 4
(A) 4 : 5
(B) 85 : 3
(C) 88 : 3
(D) 2 : 3
(E) 87 : 7
Rationale: Let x ml of Jug 1 be mixed with y ml of jug 2
5x/12 + 7y/9 = 3/7*(x+y)
7x/12 + 2y/9 = 4/7 *(x+y)
=> (15x + 28y)/36 = 3/7 * (x+y)
=> 105x + 196y = 108x + 108y
=> 88y - 3x = 0
=> x/y = 88/3
Answer - C
Answer: (C) 88 : 3
Question: If Jamie's income is Rs 20000, calculate his savings given that his income and expenditure are in the ratio 7:5.?
(A) Rs 7500
(B) Rs 4000
(C) Rs 2000
(D) Rs 8000
(E) Rs 7000
Rationale: Let the income and the expenditure of the person be Rs.7x and Rs.7x respectively.
Income, 7x = 28000 => x = 4000
Savings = Income - expenditure = 7x - 5x = 2x
So, savings = Rs.8000
Answer: D
Answer: (D) Rs 8000
Question: If (0.2)x = 2 and log 2 = 0.3010, then the value of x to the nearest tenth is:
(A) 0.2
(B) 0.4
(C) 0.3
(D) -0.4
(E) 0.1
Rationale: (0.2)x = 2.
Taking log on both sides
log (0.2)x = log 2.
x log (0.2) = 0.3010, [since log 2 = 0.3010].
x log (2/10) = 0.3010.
x [log 2 - log 10] = 0.3010.
x [log 2 - 1] = 0.3010,[since log 10=1].
x [0.3010 -1] = 0.3010, [since log 2 = 0.3010].
x[-0.699] = 0.3010.
x = 0.3010/-0.699.
x = -0.4306….
x = -0.4 (nearest tenth)
Answer : D
Answer: (D) -0.4
Question: Find the odd man out
15, 35, 45, 24 ,55, 65, 95
(A) 15
(B) 24
(C) 55
(D) 95
(E) 35
Rationale: In the series, 24 is the number which is not divisible by 5.
ANSWER:B
Answer: (B) 24
Question: If the sales tax be reduced from 4 (1/5) % to 3(1/4) %, then what difference does it make to a person who purchases a bag with marked price of Rs. 5400?
(A) Rs. 100.2
(B) Rs. 50.2
(C) Rs. 20.5
(D) Rs. 100
(E) None of these
Rationale: Explanation:
Required difference = (4 (1/5) of Rs. 5400) - (3 (1/4) of Rs. 5400)
= (21/5 – 13/4) % of Rs. 5400
= (19/20) x (1/100) x 5400
= Rs. 51.30
ANSWER E
Answer: (E) None of these
Question: If the a radio is sold for rs 490 and sold for rs 465.50.find loss%.
(A) 2%
(B) 4%
(C) 3%
(D) 5%
(E) 6%
Rationale: sol. cp=rs490,sp= 465.50.
loss=rs(490-465.50)=rs 24.50.
loss%=[(24.50/490)*100]%=5%
ANSWER D
Answer: (D) 5%
Question: Paul’s salary is reduced by 50% and then reduced salary is increased by 50%. Find ,how many percentage his present salary is less as compared to his previous salary?
(A) 20%
(B) 25%
(C) 30%
(D) 15%
(E) 10%
Rationale: 50*50
-------- = 25%
100
Answer: B
Answer: (B) 25%