mathewhe/aqua_rat huggingface dataset:
Question: In covering a distance of 18 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:
(A) 3 kmph
(B) 6 kmph
(C) 6.25 kmph
(D) 7.5 kmph
(E) 7.8 kmph
Rationale: Let Abhay's speed be x km/hr.
Then,	18/X	-	18/2X	= 3
6x = 18
x = 3 km/hr. Answer: Option A
Answer: (A) 3 kmph
Question: Ratio between Rahul and Deepak is 4:2, After 6 Years Rahul age will be 22 years. What is Deepak present age
(A) 9
(B) 3
(C) 5
(D) 2
(E) 7
Rationale: Explanation:
Present age is 4x and 2x,
=> 4x + 22 = 26 => x = 1
So Deepak age is = 2(1) = 2
Answer: Option D
Answer: (D) 2
Question: 12,31,68,?,220,347,516
(A) 199
(B) 220
(C) 347
(D) 129
(E) 520
Rationale: 2*2*2 + 4 = 12
3*3*3 +4 = 31
4*4*4 + 4 = 68
6*6*6 + 4 = 220
7 *7 *7 + 4 = 347
8 *8 *8 + 4 = 516.
5*5*5 + 4 = 129
ANSWER : D
Answer: (D) 129
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 6 minutes, then the area of the park (in sq. m) is:
(A) 153601
(B) 153600
(C) 86400
(D) 153603
(E) 153604
Rationale: Perimeter = Distance covered in 6 min. =(12000/60) x 6m = 1200 m.
Let length = 3x metres and breadth = 2x metres.
Then, 2(3x + 2x) = 1200 or x = 120.
Length = 360 m and Breadth = 240 m.
Area = (360 x 240) m2 = 86400 m2.
Answer: C
Answer: (C) 86400
Question: John and Ingrid pay 30% and 40% tax annually, respectively. If John makes $56000 and Ingrid makes $73000, what is their combined tax rate?
(A) 32%
(B) 34.4%
(C) 35%
(D) 35.6%
(E) 36.4%
Rationale: (1) When 30 and 40 has equal weight or weight = 1/2, the answer would be 35.
(2) When 40 has larger weight than 30, the answer would be in between 35 and 40. Unfortunately, we have 2 answer choices D and E that fit that condition so we need to narrow down our range.
(3) Get 73000/129000 = 73/129 is a little above 1/2. Thus, our answer is just a little above 35.
Answer: D
Answer: (D) 35.6%
Question: Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?
(A) E982
(B) 27
(C) 12
(D) 121
(E) 28
Rationale: Explanation:
T = 9/45 * 60 = 12
Answer: Option C
Answer: (C) 12
Question: What decimal of an hour is a second
(A) 0028
(B) 0027
(C) 2787
(D) 2788
(E) 2992
Rationale: Explanation:
1 / (60 * 60) = 1 / 3600 = .0027
Answer: B) .0027
Answer: (B) 0027
Question: A car covers a distance of 1080 km in10 hrs. What is its speed in mps.
(A) 40 m/s
(B) 25 m/s
(C) 20 m/s
(D) 15 m/s
(E) 30 m/s
Rationale: Explanation:
Distance = Speed x Time
Speed = (1080/10) = 108 kmph
Spees in mps = 108 x 5/18 = 6 x 5 = 30 mps.
Answer: Option E
Answer: (E) 30 m/s
Question: Tim and Élan are 120 miles away from one another. They are starting to move towards each other simultaneously, Tim at a speed of 10 Mph and Élan at a speed of 5 Mph. If every hour they double their speeds, what is the distance that Tim will pass until he meets Élan?
(A) 30 miles.
(B) 35 miles.
(C) 45 miles.
(D) 60 miles.
(E) 80 miles.
Rationale: Tim and Elan will meet at the same time while their ratio of speed is 2:1 respectively.So their individual distance traveled ratio will be same.
Plugging in the answer choice Only Answer Choice E meet the 2:1(Tim:Elan=80:40) ratio of maintaining total distance traveled 120 miles
So Correct answer E
Answer: (E) 80 miles.
Question: The average temperature of Monday, Tuesday, Wednesday and Thursday was 38∘ and that of Tuesday, Wednesday, Thursday and Friday was 40∘. If the temperature on Monday was 34∘, the temperature of Friday was :
(A) 42∘
(B) 39∘
(C) 38∘
(D) 30∘
(E) None of these
Rationale: Explanation:
M+T+W+Th=(4×38)=152
Monday temperature is 34. So T+W+Th=(152-34)=118
T+W+Th+F=(4×40)=160
F = (160-118)=42∘
Correct Option: A
Answer: (A) 42∘
Question: Out of 17 applicants, there are 8 boys and 9 girls. Two persons are to be selected for the job. Find the probability that at least one of the selected persons will be a girl.
(A) 25/34
(B) 19/34
(C) 21/34
(D) 27/34
(E) 37/34
Rationale: The events of selection of two person is redefined as (i) first is a girl AND second is a boy OR (ii) first is boy AND second is a girl OR (iii) first is a girl and second is a girl.
So the required probability:
= (8/17 x 9/16) + (9/17 x 8/16) + (9/17 x 8/16)
= 9/34 + 9/34 + 9/34
= 27/34.
ANSWER:D
Answer: (D) 27/34
Question: A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
(A) 198
(B) 268
(C) 267
(D) 860
(E) 727
Rationale: CP = SP + 1CP = SP - g
800 + x = 980 - 2x
3x = 180 => x = 60
CP = 800 + 60 = 860
Answer: D
Answer: (D) 860
Question: At what price must an article costing Rs.95 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?
(A) 130
(B) 125
(C) 145
(D) 135
(E) 144
Rationale: CP = 95
SP = 47.50*(125/100) = 118.125
MP*(95/100) = 118.125
MP = 125
Answer:B
Answer: (B) 125
Question: A tank of 425 litres capacity has been filled with water through two pipes, the
first pipe having been opened five hours longer than the second. If the first pipe
were open as long as the second, and the second pipe was open as long as the
first pipe was open, then the first pipe would deliver half the amount of water
delivered by the second pipe; if the two pipes were open simultaneously, the
tank would be filled up in 17 hours. How long was the second pipe open?
(A) 13
(B) 14
(C) 15
(D) 16
(E) 17
Rationale: Let the 1st and 2nd pipe be x and y respectively
and time = z hours
A/Q
y=2x (since first pipe would deliver half the amount of water
delivered by the second pipe)
(x+y)*17 =425
x+y =25
putting the value of y then we get
3x=25
x=25/3 and y =50/3
(z+5)25/3 + z(50/3) =425
from you can find z which = 15.3 so ans is 15
ANSWER:C
Answer: (C) 15
Question: If x > y and y > z, which of the following represents the greatest number T?
(A)  x − z
(B)  x − y
(C)  y − x
(D)  z − y
(E)  z − x
Rationale: Because x>y>z
thus T=x- z wil lbe greatest
Ans: A
Answer: (A)  x − z
Question: A, B, C, D, E are the five electronic shops in the Naza market, which have 20, 30, 60, 80 and 50 T. V . sets with them respectively, then the average number of T. V. sets in each shop is
(A) 24
(B) 48
(C) 50
(D) 60
(E) None
Rationale: Answer
Average number of T. V. sets
= ( 20 + 30 + 60 + 80 + 50 ) / 5
= 48
Correct Option: B
Answer: (B) 48
Question: The cost of 3 pens and 5 pencils is Rs.240. Also the cost of one pen and one pencil is in the ratio of 5:1 respectively. What is the cost of one dozen pens?
(A) Rs.200
(B) Rs.720
(C) Rs.300
(D) Rs.150
(E) None of these
Rationale: Explanation:
Let the cost of one pen is ‘5x’ and pencil is ‘x’
3 X 5x + 5x = Rs.240
15x + 5x = Rs.240
X = 240/20 = 12
:. Cost of 1 pen = 5x = 5 x 12 = 60
:. Cost of 12 pens, i.e. (one dozen) = 60 x 12 = Rs.720
Answer: Option B
Answer: (B) Rs.720
Question: what is the minimum value of f(x) where
f(x)=(logax+logbx+logcx) and a>b>c>1..
(A) 3
(B) 2
(C) 1
(D) 4
(E) 5
Rationale: here a,b,c are base for log..they aren't multiplied with x.
so logax=logex/logea;
f(x)= (logx/loga + logx/logb+ logx/logc);
= logx * (1/loga + 1/logb + 1/logc);
for minimum value of f(x) log values must me max 1
=1*3
= 3
ANSWER:A
Answer: (A) 3
Question: Suppose you have access to a large vat of distilled water, several gallons large. You have two precise measuring pipettes, one to measure exactly 1/6 of an ounce and one to measure exactly 1/7 of an ounce. You can pour precisely measured amounts into a beaker, which initially is empty. You can use either pipette to remove distilled water from the vat or from the beaker and use either pipette to dispense water into either of those receptacles, but you cannot use either pipette to take any quantity of distilled water other than the amount for which it is designed. Which of the following represents, in ounces, a precise amount of distilled water you can transfer from the vat to the beaker?
I. 1/6
II. 1/7
III. 1/12
(A) I only
(B) III only
(C) I and III only
(D) 1/42 and 13/42
(E) I, II, and III
Rationale: Looking at the potential answer choices, 1/7 is immediately out as 7 is a prime that cannot be created from either 4 or 3.
1/6-1/7=1/42
1/6+1/7=13/42
Answer:D
Answer: (D) 1/42 and 13/42
Question: A trader mixes 80 kg of tea at 15 per kg with 20 kg of tea at cost price of 20 per kg. In order to earn a profit of 50%, what should be the sale price of the mixed tea?
(A) 23.75
(B) 22
(C) 20
(D) 19.2
(E) None of these
Rationale: C.P. of mixture = 80×15+20×20 /80+20=16
∴ S.P. = (100+50)/100×16=24
Answer E
Answer: (E) None of these
Question: Mala had a stock of 1200 balls in his bookshop. He sold 50 on Monday, 100 on Tuesday, 120 on Wednesday, 150 on Thursday and 200 on Friday. What percentage of the balls were not sold?
(A) 26.3%
(B) 42.5%
(C) 38.6%
(D) 48.3%
(E) 52.8%
Rationale: Let N be the total number of balls sold. Hence
N = 50+ 100 + 120 + 150 + 200= 620
Let M be the balls NOT sold
M = 1200 - N = 1200 - 620 = 580
Percentage
Balls not sold / total number of balls = 580/1200 = 0.483 =48.3%
correct answer D
Answer: (D) 48.3%
Question: The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.144. Find the principal?
(A) 3627
(B) 3622
(C) 3600
(D) 3618
(E) 3620
Rationale: P = 144(100/5)2
=> P = 3600
Answer: C
Answer: (C) 3600
Question: Find the highest common factor of 36 and 84?
(A) 4
(B) 6
(C) 12
(D) 18
(E) None of these
Rationale: 36=2^2*3^2; 84=2^2*3*7
H.C.F=2^2*3=12.
Correct Option: C
Answer: (C) 12
Question: There are 9 balls in a jar: 3 red, 2 blue and 4 green. If a single ball is drawn from the jar, what is the probability of that it is either blue or red?
(A) 1/12
(B) 1/4
(C) 5/9
(D) 2/3
(E) 3/4
Rationale: Blue + Red =5
Total number of balls is 3+2+4=9
So the answer is 5/19=5/9
Answer C
Answer: (C) 5/9
Question: A painting is painted on a cardboard 19 cm and 14 cm wide, such that there is a margin of 1.5 cm along each of its sides. Find the total area of the margin.
(A) 70 cm²
(B) 80 cm²
(C) 90 cm²
(D) 95 cm²
(E) 98 cm²
Rationale: Length of the cardboard = 19 cm
Breadth of the cardboard = 14 cm
Area of the cardboard = 19 × 14 cm² = 266 cm²
Length of the painting excluding the margin = [19 - (1.5 + 1.5)] cm = 16 cm
Breadth of the painting excluding the margin = 14 - (1.5 + 1.5) = 11 cm
Area of the painting excluding the margin = (16 × 11) cm² = 176 cm²
Therefore, area of the margin = (266 - 176) cm² = 90 cm²
ANSWER : C
Answer: (C) 90 cm²
Question: What is the measure of the angle Q made by the diagonals of the any adjacent sides of a cube.
(A) 30
(B) 45
(C) 60
(D) 75
(E) 90
Rationale: C.. 60 degrees
All the diagonals are equal. If we take 3 touching sides and connect their diagonals, we form an equilateral Triangle. Therefore, each angle would be Q=60.C
Answer: (C) 60
Question: A set consist of 2n-1 element. What is the number of subsets of this set which contain at most n-1 elements?
(A) 2^(2n-2)
(B) 2^(2n) - 2
(C) 2^(2n) -1
(D) 2^(2n)
(E) 2^(2n-1)
Rationale: I took n=2 so total terms becomes 2n-1 = 3 and at most you can take n-1 = 1 term.
so the ans should be 3, but if you put n=2 in all the equations you wont get the ans. That means they have considered empty set as well, thus the total number of subsets with at most one is a1,a2,a3,0
so ans is 4.
put n=2 in all the equations , you will get A=4 hence A.
Answer: (A) 2^(2n-2)
Question: A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
(A) 1.7
(B) 1.4
(C) 1.1
(D) 1.5
(E) 1.9
Rationale: M = 4.5
S = x
DS = 4.5 + x
US = 4.5 + x
4.5 + x = (4.5 - x)2
4.5 + x = 9 -2x
3x = 4.5
x = 1.5
Answer:D
Answer: (D) 1.5
Question: A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
(A) 1 kmph
(B) 4 kmph
(C) 8 kmph
(D) 5 kmph
(E) 9 kmph
Rationale: DS = 6
US = 4
S = ?
S = (6 - 4)/2 = 1 kmph
Answer: A
Answer: (A) 1 kmph
Question: A customer pays 40 dollars for a coffee maker after a discount of 20 dollars
What is the original price of the coffe maker?
(A) A)$50
(B) B)$60
(C) C)$70
(D) D)$80
(E) E)$90
Rationale: Let x be the original price.
x - 20 = 40
x - 20 + 20 = 40 + 20
x + 0 = 60
x = 60
correct answer is B)$60
Answer: (B) B)$60
Question: What is the smallest integer c for which 27^c> 3^24?
(A) 7
(B) 8
(C) 9
(D) 10
(E) 12
Rationale: 27^c> 3^24
Converting into the same bases:
27^c> 27^8
Therefore for the equation to hold true, c > 8 or c= 9
Option C
Answer: (C) 9
Question: Each of the 42 points is placed either inside or on the surface of a perfect sphere. If 65% or fewer of the points touch the surface, what is the maximum number of segments which, if connected from those points to form chords, could be the diameter of the sphere?
(A) 7
(B) 11
(C) 13
(D) 23
(E) 38
Rationale: Maximum number of points on the surface is 65%*42 = 27.3 ... or 27 since it has to be an integer
Now note that if two points form a diameter, they cannot be part of any other diameter.
So in the best case we can pair up the points
We have 27 points, so at best we can form 13 pairs (26).
So, answer is (C)
Answer: (C) 13
Question: In how many different ways can 4 physics, 2 math, and 2 chemistry books be arranged in a row so that all books of the same subject are together?
(A) 378
(B) 432
(C) 456
(D) 524
(E) 576
Rationale: Let's think of each subject as a group so there are 3 groups.
The number of ways to arrange these 3 groups is 3!
Within each subject the books can be re-arranged.
So we need to multiply 3! by 4!*2!*2! which is 3!*4!*2!*2! = 576
The answer is E.
Answer: (E) 576
Question: Even after reducing the marked price of a transistor by Rs. 32, a shopkeeper makes a profit of 15%. If the cost price be Rs.320, what percentage of profit would he have made if he had sold the transistor at the marked price?
(A) 18 %
(B) 20 %
(C) 25 %
(D) 30 %
(E) None
Rationale: Sol.
C.P. = Rs. 320, Profit = 15%
S.P. Rs. [115/100 * 320] = Rs. 368. Marked price = Rs. (368 + 32) = Rs. 400.
∴ Required profit% = [80/320 * 100] % = 25%.
Answer C
Answer: (C) 25 %
Question: A ball is bought for Rs.400 and sold at a gain of 40% find its selling price?
(A) A)Rs.560/-
(B) B)Rs.490/-
(C) C)Rs.500/-
(D) D)Rs.520/-
(E) E)Rs.540/-
Rationale: 100 % ------> 400 (100 * 4 = 400)
140 % ------> 560 (140 * 4 = 560)
Selling price = Rs.560/-
A
Answer: (A) A)Rs.560/-
Question: The population of a city increases @ 4% p.a. There is an additional annual increase of 4% of the population due to the influx of job seekers, find the % increase in population after 2 years ?
(A) 14.64%
(B) 15.64%
(C) 16.64%
(D) 17.64%
(E) 18.64%
Rationale: total annual increament in population = 4+4 = 8%
let the population be x
Population after 2 years = 1.08x +.0864x
Population increase = 1.08x + .0864x - x
%increase = ((1.08x + .0864x - x)/x )*100
= ( 1.08 + .0864 - 1 )*100
=.1664*100
=16.64%
ANSWER:C
Answer: (C) 16.64%
Question: The speed of a boat in still water is 20 km/hr and the rate of current is 5 km/hr. The distance travelled downstream in 24 minutes is:
(A) 9
(B) 5
(C) 7
(D) 6
(E) 10
Rationale: Explanation:
Speed downstream = (20+5) kmph = 25 kmph
Distance travelled = (25*(24/60)) km = 10 km.
ANSWER:E
Answer: (E) 10
Question: Average monthly income of a family of 4 earning members was Rs. 840. One of the earning members died and therefore, the average income came down to Rs 650. The income of the deceased was?
(A) Rs. 692.80
(B) Rs. 820
(C) Rs. 990
(D) Rs. 1410
(E) None
Rationale: Answer
Income of the deceased = Total income of 4 members - total income of remaining 3 members.
= 840 x 4 - 650 x 3 Rs.
= 1410 Rs.
Correct Option: D
Answer: (D) Rs. 1410
Question: The G.C.D of 1.08, 0.36 and 0.9 is
(A) 0.19
(B) 0.1
(C) 0.18
(D) 0.11
(E) 0.12
Rationale: Explanation:
Given numbers are 1.08 , 0.36 and 0.90
H.C.F of 108, 36 and 90 is 18 [ \inline \fn_jvn \because G.C.D is nothing but H.C.F]
\inline \fn_jvn \therefore H.C.F of given numbers = 0.18
Answer: C) 0.18
Answer: (C) 0.18
Question: Express of the following as a fraction: 4%
(A) 2/25
(B) 1/25
(C) 4/25
(D) 7/25
(E) None of them
Rationale: 4% =4/100 =1/25.
Answer is B.
Answer: (B) 1/25
Question: A 40-liter solution of alcohol and water is 5 percent alcohol. If 3.5 liters of alcohol and 6.5 liters of water are added to this solution, what percent of the solution produced is alcohol?
(A) 8%
(B) 11%
(C) 14%
(D) 17%
(E) 20%
Rationale: The percent of alcohol in the solution is (0.05(40) + 3.5) / 50 = 5.5/50 = 11%
The answer is B.
Answer: (B) 11%
Question: The rate of Interest on a sum of money is 3% p.a. for the first 3 years, 4% p.a. for the next 4 years, and 5% for the period beyond 7 years. If the S.I, Occurred on the sum for the total period of 8 years is Rs. 540/-, the sum is
(A) 1,200
(B) 1,800
(C) 2,100
(D) 2,250
(E) 2,540
Rationale: Explanation:
I1 = (P x 3 x 3)/100 = P/11
I2 = (P x 4 x 4)/100 = 4P/25
I3 = (P x 1 x 5)/100 = P/20
P/11+ 4P/25 + P/20 = 540
30P/100 = 540
P = 1800
Answer: Option B
Answer: (B) 1,800
Question: If 7 boys meet at a reunion and each boy shakes hands exactly once with each of the others, then what is the total number of handshakes
(A) 21
(B) 42
(C) 43
(D) 44
(E) 45
Rationale: n(n-1)/2 =7*6/2
=21
ANSWER:A
Answer: (A) 21
Question: A freight elevator can carry a maximum load of 1150 pounds. Sean, who weighs 200 pounds, is in the elevator with two packages weighing 150 pounds and 280 pounds. If he needs to fit three more packages in the elevator that weigh as much as possible without exceeding the elevator limit, what is the difference between their average and the average of the two packages already in the elevator?
(A) 42
(B) 85
(C) 190
(D) 215
(E) 210
Rationale: The average of existing 2 package is150 + 280/2 = 430/2 = 215
Remaining allowed weight = 1150 - 200 - 430 = 520.
allowed per package = 520 / 3 = 173
So difference in average of existing and allowable = 215 - 173 = 42
Hence A
Answer: (A) 42
Question: A is twice as good a work man as B and together they finish the work in 8 days. In how many days A alone can finish the work?
(A) 23
(B) 12
(C) 77
(D) 92
(E) 61
Rationale: WC = 2:1
2x + x = 1/8 => x = 1/24
2x = 1/12
A can do the work in 12 days.
Answer: B
Answer: (B) 12
Question: In a garden, there are five blue flowers, five red flowers, five green flowers, and five pink flowers. What is the probability that a florist will choose three flowers of the same color when randomly picking three flowers?
(A) 11/10
(B) 6/55
(C) 31/10
(D) 3/55
(E) 1/16
Rationale: P(all the same color) = P(1st flower is ANY colorAND2nd flower is same as firstAND3rd flower is also the same color)
= P(1st flower is ANY color)xP(2nd flower is same as 1st)ANDP(3rd flower is the same color)
= 1x4/11x3/10
= 6/55
Answer: B
Answer: (B) 6/55
Question: The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 120?
(A) 3
(B) 14
(C) 32
(D) 30
(E) 70
Rationale: Greatest common factor n and 16 is 4 = 2*2 * 2*2
Greatest common factor n and 45 is 3 = 3*3 *5
Greatest common factor n and 120 is = 2*3*5 =30
Answer: D.
Answer: (D) 30
Question: JERRY has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar bills. If JERRY needs to pay exactly $128, what is the least number of bills he will need to use?
(A) 16
(B) 35
(C) 46
(D) 577
(E) 576
Rationale: 128 is the total sum of money.
as we have 13 10 dollar bills so the closest we can get to 128 using the 10 dollar bills is by using 12 * 10 dollar bils
128-120 = 8
so now we need to get 8 from either 5 dollar bills or 1 dollar bills
8 - 5 (use only 1 5 dollar bill) = 3
so we can get 3 from using 3 $1 bills.
Hence 16 ( 12+1+3 )
ANSWER IS A
Answer: (A) 16
Question: What percent of 7.2 kg is 18 gms ?
(A) 25
(B) 66
(C) 288
(D) 19
(E) 17
Rationale: Explanation:
Required percentage = (18/7200 * 100)% = 1/4% = 0.25%
Answer: A) .25%
Answer: (A) 25
Question: Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.30 m space around the room. A side of square tile is given to be 20 cms?
(A) 187
(B) 714
(C) 268
(D) 208
(E) 276
Rationale: Area of the room =3.4 * 8.4 = 28.56
Area of the tile = 0.2 *0.2=0.04
No. of tiles = 28.56/0.04 =714
Answer : B
Answer: (B) 714
Question: In the graph below, no axes or origin is shown. If point B's coordinates are (10,5), which of the following coordinates would most likely be A's?
(A) (17, -2)
(B) (10, 6)
(C) (6, 8)
(D) (-10, 3)
(E) (-2, -17)
Rationale: wherever be the axis as per question y coordinate of point A will be greater than 3 and X coordinate will be lower than 10.
E rules..
Answer: (E) (-2, -17)
Question: Sobha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
(A) 4
(B) 6
(C) 8
(D) 10
(E) 2
Rationale: Age of Sobha's father when Sobha was born =38
Age of Sobha's mother when Sobha was born =36−4=32
Required difference of age =38−32=6
Answer is B.
Answer: (B) 6
Question: Calculate the distance covered by 200 revolutions of a wheel of radius 21 cm.
(A) 1164 m
(B) 664 m
(C) 364 m
(D) 164 m
(E) 264 m
Rationale: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 500 resolutions.
= 200 * 2 * 22/7 * 21 = 26400 cm = 264 m
ANSWER:E
Answer: (E) 264 m
Question: Find large number from below question The difference of two numbers is 1311. On dividing the larger number by the smaller, we get 11 as quotient and the 11 as remainder
(A) 1209
(B) 1324
(C) 1441
(D) 1300
(E) 1635
Rationale: Let the smaller number be x. Then larger number = (x + 1311).
x + 1311 = 11x + 11
10x = 1300
x = 130
Large number = 130+1311 = 1441
Answer : C
Answer: (C) 1441
Question: If a*b*c=65, b*c*d = 65, c*d*e=1000 and d*e*f=250 the (a*f)/(c*d) = ?
(A) 1/2
(B) 1/4
(C) 3/4
(D) 2/3
(E) None of these
Rationale: Explanation :
aâˆ—bâˆ—c/bâˆ—câˆ—d= 65/65 => a/d = 1
dâˆ—eâˆ—f/câˆ—dâˆ—e= 250/1000 => f/c = 1/4
a/d* f/c = 1 * 1/4 = 1/4
Answer : B
Answer: (B) 1/4
Question: The average mark of the students of a class in a particular exam is 80. If 8 students whose average mark in that exam is 20 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.
(A) 15
(B) 25
(C) 35
(D) 45
(E) 56
Rationale: Let the number of students who wrote the exam be x.
Total marks of students = 80 x.
Total marks of (x - 8) students = 90(x - 8)
80x - (8 * 20) = 90(x - 8)
560 = 10x => x = 56
ANSWER:E
Answer: (E) 56
Question: The price of rice falls by 25%. How much rice can be bought now with the money that was sufficient to buy 20 kg of rice previously?
(A) 5 kg
(B) 15 kg
(C) 26.67 kg
(D) 30 kg
(E) None
Rationale: Solution: Let Rs. 100 be spend on rice initially for 20 kg.
As the price falls by 20%, new price for 20 kg rice,
= (100 -25% of 100) = 75
New price of rice = 75/20 = Rs. 3.75 per kg.
Rice can bought now at = 100/3.75 = 26.67 kg.
Answer: Option C
Answer: (C) 26.67 kg
Question: A boat can move upstream at 46 kmph and downstream at 64 kmph, then the speed of the current is?
(A) 5
(B) 6
(C) 9
(D) 4
(E) 2
Rationale: US = 46
DS = 64
M = (64 - 46)/2 = 9 Answer:C
Answer: (C) 9
Question: 49 Ã— 49 Ã— 49 = 7^?
(A) 4
(B) 7
(C) 8
(D) 6
(E) None of these
Rationale: 49 Ã— 49 Ã— 49 = 7?
or, 7(2) Ã— 7(2) Ã— 7(2) = 7?
or 7(6) = 7? or, ? = 6
Answer D
Answer: (D) 6
Question: In an election only two candidates contested 20% of the voters did not vote and 120 votes were declared as invalid. The winner got 200 votes more than his opponent thus he secured 41% votes of the total voters on the voter list. Percentage votes of the defeated candidate out of the total votes casted is:
(A) 22
(B) 389
(C) 38
(D) 45
(E) 01
Rationale: Let there be x voters and k votes goes to loser then
0.8x - 120 = k + (k + 200)
k+200 = 0.41x
\inline \Rightarrow k = 1440
and (k + 200) =1640
Therefore \inline \frac{1440}{3200}\times 100 = 45%
Answer: D) 45%
Answer: (D) 45