RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: By investing in 1623% stock at 64, one earns Rs. 1500. The investment made is
A.Rs. 9600
B.Rs. 7500
C.Rs. 5640
D.Rs. 5760
Answer: D.Rs. 5760
Explanation: Explanation :
Market Value = Rs.64
Face Value is not given and hence take it as Rs.100
16 2/3% of the face value = 50/3
ie, to earn 50/3, investment = Rs.64
Hence, to earn Rs.1500, investment needed = 64×3×1500/50=5760
Answer : Option D
Question: In a game of 80 points; A can give B 5points and C 15 points. Then how many points Bcan give C in a game of 60 ?
A.8
B.9
C.10
D.11
Answer: A.8
Explanation: A: B = 80 : 75, A : C = 80 : 65.
B/C = ( B/ A * A/C) = (75 / 80 * 80 / 65) = 15/13 = 60 /52 = 60: 5
Therfore ,In a game of 60, B can give C 8 points
Option A
Question: The area of a square is equal to three times the area of a rectangle of dimensions 49 cm * 27 cm. What is the perimeter of the square?
A.380 cm
B.264 cm
C.252 cm
D.324 cm
Answer: C.252 cm
Explanation: Area of the square = s * s = 3(49 * 27)
=> s = 7 * 3 * 3 = 63 cm
Perimeter of the square = 4 * 63 = 252 cm.
Answer: C
Question: There are 6 more women than there are men on a local co-ed softball team. If there are a total of 16 players on the team, what is the ratio of men to women?
A.10/16
B.6/16
C.4/16
D.5/11
Answer: D.5/11
Explanation: w = m+6
w+m = 16
m+6+m = 16
2m = 10
m = 5
w = 11
ratio:5:11
Ans: D
Question: When 5 is added to half of one-third of one-fifth of a number, the result is one-fifteenth of the number. Find the number?
A.32
B.150
C.60
D.27
Answer: B.150
Explanation: Explanation:
Let the number be
5 + 1/2[1/3(a/5)] = a/15
=> 5 = a/30 => a = 150
Answer:B
Question: Kathleen can paint a room in 4 hours, and Anthony can paint an identical room in 5 hours. How many hours would it take Kathleen and Anthony to paint both rooms if they work together at their respective rates?
A.8/15
B.40/9
C.15/8
D.9/4
Answer: B.40/9
Explanation: (1/4 + 1/5)t=2
t= 40/9
Answer: B
Question: 12 chess players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?
A.190
B.132
C.210
D.220
Answer: B.132
Explanation: Though 2*(12C2) is the correct approcah to do this, but for people like me who find Perm, Comb n Prob a nightmare, an easy approach can be used.
The first guy has to play 2 matches with the rest of 11, so he'll play 22 matches.
Similarly, second guy has to play with the rest of 10 as his 2 games with the first guy are already played. So he plays 20 matches.
This continues like this and the total matches are 22+20+18...+2
22+20+...+2 = 2(11+10+...+1) = 2((11*12)/2) = 11*12 = 132.
ANSWER:B
Question: What is 15 percent of 34
A.5.1
B.4.1
C.3.1
D.2.1
Answer: A.5.1
Explanation: Explanation:
It will be 15% of 34
= (15/100) * 34 = 5.10
Answer: Option A
Question: The average (arithmetic mean) of 4 positive integers is 40. If the average of 2 of these integers is 45, what is the greatest possible value that one of the other 2 integers can have?
A.55
B.69
C.100
D.109
Answer: B.69
Explanation: a + b + c + d =160
a + b = 90
c + d =70
Greatest possible = 69 (Just less than 1)
Answer = B
Question: A die is thrown twice and the sum of the numbers appearing is observed to be 6.
find the conditional probability that the number 4 has appeared at least once?
A.3/5
B.3/7
C.2/5
D.3/11
Answer: C.2/5
Explanation: Let E be the event that ‘number 4 appears at least once’ and F be
the event
that ‘the sum of the numbers appearing is 6’.
Then, E = {(4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (1,4), (2,4), (3,4),
(5,4), (6,4)}
and F = {(1,5), (2,4), (3,3), (4,2), (5,1)}
We have P(E) = 11/36
and P (F) = 5/36
Also EnF = {(2,4), (4,2)}
Therefore P(EnF) = 2/36
the required probability
P(E|F) = P(EnF)/P(F) = (2/36)/(5/36) = 2/5.
C)
Question: The measurements obtained for the interior dimensions of a rectangular box are 60 cm by 60 cm by 90 cm. If each of the three measurements has an error of at most 1 centimeter, which of the following is the closes maximum possible difference, in cubic centimeters, between the actual capacity of the box and the capacity computed using these measurements?
A.14,500
B.14,600
C.14,400
D.14,700
Answer: C.14,400
Explanation: The options are well spread so we can approximate.
Changing the length by 1 cm results in change of the volume by 1*60*90 = 5400 cubic centimeters;
Changing the width by 1 cm results in change of the volume by 60*1*90 = 5400 cubic centimeters;
Changing the height by 1 cm results in change of the volume by 60*60*1 = 3600 cubic centimeters.
So, approximate maximum possible difference is 5400 + 5400 + 3600 = 14,400 cubic centimeters.
Answer: C
Question: On 14th Aug, 2001 Tuesday falls. What day of the week was it on 14th Aug, 2000?
A.Monday
B.Tuesday
C.Wednesday
D.Thursday
Answer: A.Monday
Explanation: Explanation:
14th Aug 2001 – 14th Aug 2000 = 52 weeks 1 day. So Aug 14th 2000 is behind one day = Monday
Answer: A
Question: John is three times as old as Sam. If John will be twice as old as Sam in six years, how old was Sam two years ago?
A.2
B.4
C.6
D.8
Answer: B.4
Explanation: j= 3s
after 6 years
j +6 = 2(s+6)
j= 2s+6
2s +6 = 3s
s= 6
two years ago
s= 6-2= 4
B is the answer
Question: The average of first five prime numbers greater than 20 is?
A.32.5
B.32.9
C.32.3
D.32.2
Answer: D.32.2
Explanation: 23 + 29 + 31 + 37 + 41
= 161/5
= 32.2
Answer:D
Question: A car crosses a 600 m long bridge in 5 minutes. What is the speed of car in km per hour?
A.7 km/hr
B.7.2 km/hr
C.8.9 km/hr
D.9 km/hr
Answer: B.7.2 km/hr
Explanation: Speed = 600 m/sec.
5 x 60
= 2 m/sec.
Converting m/sec to km/hr
= 2 x 18 km/hr
5
= 7.2 km/hr
B
Question: Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
A.19 : 7
B.17 : 5
C.19 : 8
D.19 : 5
Answer: D.19 : 5
Explanation: Quantity of alcohol in vessel P = 62.5/100 * 2 = 5/4 litres
Quantity of alcohol in vessel Q = 87.5/100 * 4 = 7/2 litres
Quantity of alcohol in the mixture formed = 5/4 + 7/2 = 19/4 = 4.75 litres
As 6 litres of mixture is formed, ratio of alcohol and water in the mixture formed
= 4.75 : 1.25 = 19 : 5.
Answer:D
Question: Jean drew a gumball at random from a jar of pink and blue gumballs. Since the gumball she selected was blue and she wanted a pink one, she replaced it and drew another. The second gumball also happened to be blue and she replaced it as well. If the probability of her drawing the two blue gumballs was 36/49, what is the probability that the next one she draws will be pink?
A.1/7
B.4/7
C.3/7
D.16/49
Answer: A.1/7
Explanation: The probability of drawing a pink gumball both times is the same. The probability that she drew two blue gumballs = 36/49 = (6/7) * (6/7)
Therefore probability that the next one she draws is pink = 1/7
Option (A)
Question: If 15 men working 6 hours a day can do a work in 88 days. Then 6 men working 8 hours a day can do it in how many days?
A.78 days.
B.165 days.
C.49 days.
D.48 days.
Answer: B.165 days.
Explanation: B
165 days.
From the above formula i.e (m1*t1/w1) = (m2*t2/w2)
so (15*6*88/1) = (6*8*d/1)
on solving, d = 165 days.
Question: 0,9,1,2,8,7,3,4,6,5,?
A.0
B.6
C.5
D.7
Answer: C.5
Explanation: 0=10
10,9 8,7 6,5
1,2 3,4 5,6
Ans is 5
ANSWER:C
Question: In a certain egg-processing plant, every egg must be inspected, and is either accepted for processing or rejected. For every 96 eggs accepted for processing, 4 eggs are rejected. If, on a particular day, 12 additional eggs were accepted, but the overall number of eggs inspected remained the same, the ratio of those accepted to those rejected would be 99 to 1. How many T eggs does the plant process per day?
A. 100
B. 300
C. 400
D. 3,000
Answer: C. 400
Explanation: Straight pluggin in for me. As usual, I started with C and got the answer.
Lets' back calculate and see what we get
Let us consider eggs processed each day to be 400
So Initial ratio of eggs processed and rejected is 96:4 or 24:1
So out of 400 eggs, there will be 384 eggs processed and 16 rejected.
Now if the no. of eggs inspected remain and 12 more eggs get accepted that means there T=384+12=396 eggs accepted and 4 rejected...and the ratio will be 99:1
Bingo...this is what the questions says....
Its always a good idea to start with C.
Question: 36 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?
A.33
B.66
C.88
D.44
Answer: D.44
Explanation: (36 * 8)/30 = (x * 6)/50 => x =80
80 – 36 = 44
Answer: D
Question: A certain box has 12 cards and each card has one of the integers from 1 to 12 inclusive. Each card has a different number. If 2 different cards are selected at random, what is the probability that the sum of the numbers written on the 2 cards is less than the average (arithmetic mean) of all the numbers written on the 12 cards?
A.1/11
B.2/23
C.3/34
D.4/45
Answer: A.1/11
Explanation: The average of the numbers is 6.5
The total number of ways to choose 2 cards from 12 cards is 12C2 = 66.
The ways to choose 2 cards with a sum less than the average are:
{1,2},{1,3},{1,4},{1,5},{2,3},{2,4}
The probability is 6/66 = 1/11
The answer is A.
Question: In a can, there is a mixture of milk and water in the ratio 4:3. If the can is filled with an additional 8 liters of milk, the can would be full and the ratio of milk and water would become 2:1. Find the capacity of the can?
A.40
B.36
C.32
D.28
Answer: B.36
Explanation: Let C be the capacity of the can.
(4/7)*(C-8)+8=(2/3)*C
12C-96+168=14C
2C=72
C=36
The answer is B.
Question: A van takes 6 hours to cover a distance of 378 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
A.50 Kmph
B.60 Kmph
C.70 Kmph
D.42 Kmph
Answer: D.42 Kmph
Explanation: Time = 6
Distence = 378
3/2 of 6 hours = 6 * 3/2 = 9 Hours
Required speed = 378/9 = 42 Kmph
D
Question: A day-trader plans to invest a total of $23,200 into 15 separate investments. If each investment requires a minimum deposit of $1,400, then which of the following is the maximum amount that she could put into any one investment?
A.$2,800
B.$3,000
C.$3,600
D.$3,800
Answer: C.$3,600
Explanation: We can also just keep track of theHUNDREDS DIGITS(since the hundreds digit is different for each answer choice).
Total of 14 minimized investments = (14)(1400) = $???600
The 15th investment + $???600 = $23,200
So, theHUNDREDS DIGITSof the 15th investment must be 6
Answer: C
Question: A merchant can place 8 large boxes or 10 small boxes into a carton for shipping. In one shipment, he sent a total of 96 boxes. If there are more large boxes than small boxes, how many cartons did he ship?
A.11
B.12
C.13
D.14
Answer: A.11
Explanation: Answer: 11 cartons total; 7 large boxes (7 * 8 = 56 boxes), 4 small boxes (4*10 = 40 boxes),11 total cartons and 96 boxes.
Answer A
Question: If a square mirror has a 20-inch diagonal, what is the approximate perimeter E of the mirror, in inches?
A. 40
B. 60
C. 80
D. 100
Answer: B. 60
Explanation: if you draw the square and diagonal inside the square. u can see square becomes part of two triangles opposite to each other.
And We know the property of the triangle, addition of two sides of triangle must be greater than its diagonal in order to complete the triangle. And each side must be less than 20 and perimeter E must be less than 80, so we can eliminate answer choice C, D and E.
so Side 1 + side 2 > 20, that means Side 1 or Side 2 must be > 10. so we can eliminate the answer choice A.
Now we are left with is B
Question: A family pays $800 per year for an insurance plan that pays 60 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total how much?
A.$1,000
B.$1,200
C.$1,400
D.$1,600
Answer: D.$1,600
Explanation: Assuming the medical expenses are $1000 or more, the family pays $800 + $400 = $1200.
The total amount paid by insurance plan for the first $1000 of expenses is $600.
The insurance will pay another $600 when the medical expenses are $1600.
The answer is D.
Question: The sum of ages of 4 children born 2 years different each is 36 years. What is the age of the Elder child?
A.8
B.9
C.10
D.12
Answer: D.12
Explanation: Let the ages of children be x, (x + 2), (x + 4), (x + 6) years.
Then, x + (x + 2) + (x + 4) + (x + 6) = 36
4x = 24
x = 6.
x+6= 6+6= 12
Answer : D
Question: Find the angle between the hour and the minute hand of a clock when the time is 3.25.
A.47 ½
B.49 ½
C.55 ½
D.57 ½
Answer: A.47 ½
Explanation: Solution
Angle traced by the hour hand in 12 hours	= 360°.
Angle traced by it in 3 hrs 25 min	= 41 / 12 hrs
= (360 / 12 x 41 / 12)°
= 102 ½°.
Angle traced by minute hand in 60 min	= 360°.
Angle traced by it in 25 min.	= (360/ 60 x 25)°
= 150°
Required angle	= (150- 102 ½°)
= 47 ½°.
Answer A
Question: A number when divided by 221 gives a remainder 43, what remainder will be obtained by dividing the same number 17?
A.11
B.10
C.9
D.8
Answer: C.9
Explanation: 221 + 43 = 264/17 = 9 (Remainder)
ANSWER:C
Question: According to a 2010 census, males account for 51.27% of China's 1.34 billion people, while females made up 48.73% of the total. Which answer is closest to the ratio of male to female?
A.1.1 to 1
B.2 to 1
C.8 to 1
D.0.5 to 1
Answer: A.1.1 to 1
Explanation: The ratio of A to B, where
A = the percent of males, and
B = the percent of females.
A = 51.27
B = 48.73
A:B = 51.27:48.73 = 51.27/48.73:1
A:B nearly = 1.1:1
Answer is A
Question: A salt manufacturing company produced a total of 2000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its ave66rage daily production for that year?
A.80
B.85
C.83
D.95
Answer: C.83
Explanation: Total production of salt by the company in that year = 2000 + 2100 + 2200 + .... + 3100 = 30600.
Average monthly production of salt for that year = 30600/365 â‰ˆ 84
ANSWER:C
Question: 3*11+3*12+3*15+11=?
A.125
B.126
C.130
D.148
Answer: A.125
Explanation: we have:
3*11=33
3*12=36
3*15=45
all of this is:
(33+36+45)+11=
114+11=
125
correct answer A
Question: Yesterday's closing prices of 1,980 different stocks listed on a certain stock exchange were all different from today's closing prices. The number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. How many of the stocks closed at a higher price today than yesterday?
A. 484
B. 1080
C. 1,100
D. 1,320
Answer: B. 1080
Explanation: Lets consider the below -
The number of stocks that closed at a higher price = H
The number of stocks that closed at a lower price = L
We understand from first statement -> H+L = 1980 ----(1)
We understand from second statement -> H = (120/100)L => H = 1.2L ----(2)
Solve eq (1)(2) to get H = 1080.
B is my answer.
Question: On a weekend, 3 friends went skiing and evenly split the cost of their cabin. If the amount paid by each person was an integer, which of the following could not have been the cost of the cabin?
A.$110
B.$150
C.$225
D.$54
Answer: A.$110
Explanation: Each of the seven persons evenly splitting the cost is an integer amount, therefore check the divisibility by 3 for all answer choices.
110/3 = 36.67
150/3 = 50
225/3 = 75
54/3 = 18
75/3 = 25
A is not an integer amount.
Answer:A
Question: P and Q started a business investing Rs. 85,000 and Rs. 20,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
A.17:6
B.17:0
C.17:4
D.17:2
Answer: C.17:4
Explanation: P:Q = 85000 : 20000
= 17:4.
Answer: C
Question: For all numbers m and n, the operation @ is defined by m@n = m^2 - mn. If xy ≠ 0, then which of the following can be equal to zero?
I. x@y
II. (xy)@y
III. x@(x + y)
A.II
B.I and II
C.I and III
D.II and III
Answer: B.I and II
Explanation: m@n = m^2 - mn=m(m-n).... so m@n will be zero if m=n or m=0.. but a cannot be equal to 0.. as per Q, x and y can take any int value except 0...
now lets look at the choices..
when x=y, it will be 0... so ok...
when we put xy=y, it is possible when x=1 and y any integer... so ok again
when we put x=x+y.... only possibility when y=0 and it is given x and y cannot be 0....so not possible
only l and ll possible
answer:B
Question: If x = 3 and y = 2, what is the value of 5(x-y)^2 - xy ?
A.-8
B.-7
C.-1
D.-2
Answer: C.-1
Explanation: x = 3 and y = 2
x-y = 3 - 2 = 1
x*y = 3 * 2 = 6
Now we apply it in the equation 5(x-y)^2 - xy =5 (1)^2-6
==>5*1 -6 = 5-6 =-1
Answer : C
Question: Two same glasses are respectively 1/4th 1/5th full of milk. They are then filled with water and the contents mixed in a tumbler. The ratio of milk and water in the tumbler is?
A.9:36
B.9:31
C.9:35
D.9:37
Answer: B.9:31
Explanation: 1/4 : 3/4 = (1:3)5 = 5:15
1/5 : 4/5 = (1:4)4 = 4:16
------
9:31
Answer: B
Question: If Henry were to add 8 gallons of water to a tank that is already 3/4 full of water, the tank would be 7/8 full. How many gallons of water would the tank hold if it were full?
A.25
B.40
C.64
D.80
Answer: C.64
Explanation: 7/8x-3/4x=8galls
1/8*x=8gallons
x=64 gallons
Answer C
Question: a dealer buys 4 varieties of rice costing rs. 30,rs.40,rs.60 and rs.80 per kg in the ratio 4:5:4:3 and mixes all the four varieties and sells at 30% profit. What is the selling price per kg of rice?
A.62
B.65
C.66
D.67
Answer: B.65
Explanation: CP = 30*4+40*5+60*4+80*3=800
SP = 1.3*800=1040
Total no.of kgs=4+5+4+3=16
SP per kg=1040/16=65
ANSWER:B
Question: A primitive village follows a strange custom. They have babies only to have a boy. Whenever a boy is born in a family, they stop having babies and whenever a girl is born, they have a baby again and again till a boy is born.
The probability of having a boy is same as the probability of having a girl. What will be the proportion of boys to girls in the village after some time?
A.1:1
B.1:2
C.1:3
D.1:4
Answer: A.1:1
Explanation: A
1:1 (approx)
We know that the probability of having a boy or having a girl is same and thus, half of the couples will stop after having a boy child. Half of the others will have a girl and will have a baby again. Out of those half of the couples, half will have a boy and will stop and half will have a girl again. This will keep on going like this.
Now, if there are X number of couples, there will be X boys.
1/2 have a boy and stop: 0 girls
1/4 have a girl, then a boy: X/4 girls
1/8 have 2 girls, then a boy: 2*X/8 girls
1/16 have 3 girls, then a boy: 3*X/16 girls
1/32 have 4 girls, then a boy: 4*X/32 girls
…
Total: X boys and
1X 2X 3X 4X
– + – + – + — +… = ~X
Question: (3x + 2) (2x - 1) = ax^2 + kx + n . What is the value of a - n + k ?
A.5
B.8
C.9
D.10
Answer: C.9
Explanation: Expanding we have 6x^2 - 3x + 4x -2
6x^2 + x - 2
Taking coefficients, a = 6, k= 1, n = -2
Therefore a - n + k = 6 - (-2) +1 = 8 + 1 = 9
The answer is C.
Question: On the first of the year, James invested x dollars at Proudstar bank in an account that yields 1.5% in interest every quarter year. At the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. If James had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for James to have y dollars at the end of the year?
A.2.04%
B.6.12%
C.8%
D.8.25%
Answer: B.6.12%
Explanation: If the interest were compounded annually instead of quarterly then in one year the interest would be 1.5*4=6%. Now, since the interest is compounded quarterly then there would be interest earned on interest (very small amount) thus the actual interest would be a little bit more than 6%.
Answer: B.
Question: 48.95-32.006=?
A.16.089
B.16.35
C.16.89
D.16.944
Answer: D.16.944
Explanation: 48.950
- 32.006
---------
16.944
Answer is D
Question: The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
A.227
B.299
C.276
D.750
Answer: D.750
Explanation: Speed = [90 * 5/18] m/sec = 25 m/sec; Time = 1 min. = 60 sec.
Let the length of the train and that of the platform be x meters.
Then, 2x/60 = 25 è x = 25 * 60 / 2 = 750
Answer: D
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
A.120 metres
B.180 metres
C.324 metres
D.150 metres
Answer: D.150 metres
Explanation: Speed=(60 x 5/18)/m/sec	=	50/3	m/sec.
Length of the train = (Speed x Time).
Length of the train =	50 x 9/3 m = 150 m.
ANSWER : OPTION D
Question: At Company K, 15 percent of the employees are secretaries and 60 percent are salespeople. If there are 20 other employees of Company K, how many employees does Company K have?
A. 80
B. 180
C. 190
D. 200
Answer: A. 80
Explanation: Let the total number of employees in the company be x
% of secretaries = 15%
% of salespeople = 60%
% of of employees other than secretaries and salespeople = 100 - 75 = 25%
But this number is given as 20
so 25% of x = 20
x = 80
Therefore there a total of 80 employees in the company K
Correct answer - A
Question: What is the angle between the two hands of a clock when time is 8:30
A.15 degree
B.45 degree
C.55 degree
D.75 degree
Answer: D.75 degree
Explanation: Use the formula i.e
1/2(60h-11m) // h-hour and m-minute
1/2(60*8-11*30)
1/2(150)
75 degree
ANSWER:D
Question: During a sale, the price of a pair of shoes is marked down 12% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?
A.9%
B.10%
C.11%
D.14%
Answer: D.14%
Explanation: Assume the price = 100
Price during sale = 88
Price after sale = 100
Percent increase = 12/88*100 = 14% approx.
Correct Option: D
Question: In how many ways can 5 boys be allotted four different wadrobe such that none of the wadrobe are empty and all the 5 boys are accommodated?
A.300
B.290
C.240
D.260
Answer: C.240
Explanation: 4 boys can be selected from 5 boys in 5C4 ways = 5
4 boys can be arranged in 4 rooms in 4! ways
and since 1 boy has to share a room with one of the 4 boys, therefore total ways = 2! = 2
Hence total number of ways in which allocation can be done = 5C4 * 4! * 2! = 5*2*4! =240
C
Question: What is the remainder when 8^1 + 8^2 + 8^3 +...+ 8^9 is divided by 2?
A.4
B.3
C.2
D.None of the above
Answer: D.None of the above
Explanation: Notice that in the brackets we have the sum of 9 even multiples of 2, which yields remainder of 0 upon division by 2.
Answer : D
Question: A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
A.150
B.100
C.110
D.140
Answer: B.100
Explanation: B
A can give B (5 min - 4 1/2 min) = 30 sec start.
The distance covered by B in 5 min = 1000 m.
Distance covered in 30 sec = (1000 * 30)/300 = 100 m.
A can give B 100 m start.
Question: Bruce purchased 8kg of grapes at the rate of 70 per kg and 8 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
A.A)1040
B.B)1050
C.C)1000
D.D)1065
Answer: C.C)1000
Explanation: Cost of 8 kg grapes = 70 × 8 = 560.
Cost of 8 kg of mangoes = 55 × 8 = 440.
Total cost he has to pay = 560 + 440 = 1000
C
Question: A certain pair of used shoes can be repaired for $10.50 and will last for 1 year. A pair of the same kind of shoes can be purchased new for $30.00 and will last for 2 years. The average cost per year of the new shoes is what percent greater than the cost of repairing the used shoes?
A.42.85
B.44
C.48
D.38
Answer: A.42.85
Explanation: 1) Cost of repairing = 10.5 ( for one year ), Therefore for 2 years it would be$ 21.
2) Cost of new pair which will last for 2 years is$ 30.00
Percentage change formula =( Final value - Initial value ) / ( Initial Value ) * 100. In this case the final value would be the price of new shoe initial value would be the cost of repairing the old shoe.
I.e (30 - 21 ) / ( 21 ) * 100 = 42.85 %.
Ans is A