RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A, B and C, each working alone can complete a job in 6, 8 and 12 days respectively. If all three of them work together to complete a job and earn $ 2340, what will be B's share of the earnings?
A.$1100
B.$520
C.$780
D.$1170
Answer: C.$780
Explanation: Explanatory Answer
A, B and C will share the amount of $2340 in the ratio of the amounts of work done by them.
As A takes 6 days to complete the job, if A works alone, A will be able to complete 1/6 th of the work in a day.
Similarly, B will complete 1/8th and C will complete 1/12th of the work.
So, the ratio of the work done by A : B : C when they work together will be equal to 1/6 : 1/8 : 1/12
Multiplying the numerator of all 3 fractions by 24, the LCM of 6, 8 and 12 will not change the relative values of the three values.
We get 24/6 : 24/8 : 24/12 = 4 : 3 : 2.
i.e., the ratio in which A : B : C will share $2340 will be 4 : 3 : 2.
Hence, B's share will be 3*2340/9 = 780
correct choice is (C)
Question: The timing of a college is from 11 p.m to 4.20 p.m. Five lectures are held in the given duration and a break of 5 minutes after each lecture is given to the students. Find the duration of each lecture.
A.56 minutes
B.52 minutes
C.30 minutes
D.48 minutes
Answer: B.52 minutes
Explanation: Explanation:
Total time a student spends in college = 5 hours 20 minutes = 280 minutes
As there are 5 lectures, the number of breaks between lectures is 4. Total time of the break = 20 minutes
Hence, the duration of each lecture is = (280 â€“ 20)/5
= 52 minutes
ANSWER B
Question: Two identical cubes if one of them is painted pink on its 4 side and blue on the remaining two side then how many faces painted pink to other cube so that probability of getting cube is 1/3 when we roll both the cube.
A.0
B.1
C.2
D.3
Answer: A.0
Explanation: 0 faces should be painted pink i.e all faces blue
ANSWER:A
Question: if p/q=3/4
then3p+9q=?
A.25/4
B.25/2
C.20/4
D.45/4
Answer: D.45/4
Explanation: 3p+9q=?
Divided by q,
3(p/q)+9=x
3*(3/4)+9=45/4
ANSWER:D
Question: In what time will a railway train 70 m long moving at the rate of 36 kmph pass a telegraph post on its way?
A.8 sec
B.1 sec
C.9 sec
D.7 sec
Answer: D.7 sec
Explanation: T = 70/36 * 18/5
= 7 sec
Answer:D
Question: Sonika bought a V.C.R. at the list price of 18,600. If the rate of sales tax was 8%, find the amount she had to pay for purchasing the V.C.R.
A.20,088
B.19,780
C.19,680
D.19,380
Answer: A.20,088
Explanation: Sol. List price of V.C.R. =18,600
Rate of sales tax = 8%
∴ Sales tax = 8% of 18,600
= 8⁄100 × 18600 = 1488
So, total amount which Sonika had to pay for purchasing the V.C.R. = 18,600 + 1488
= 20,088. Answer A
Question: A number when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing the same number by 31
A.5
B.3
C.4
D.6
Answer: A.5
Explanation: Explanation:
P ÷ 44 = 432
=> P = 432 * 44 = 19008
P / 31 = 19008 / 31 = 613, remainder = 5
Option A
Question: In a certain group of 13 members, 4 members teach only French and the rest teach only Spanish or German. If the group is to choose 3-member committee, which must have at least 1 member who teaches French, how many different committee can be chosen ?
A.198
B.154
C.202
D.201
Answer: C.202
Explanation: Case 1
1french 2either German or Spanish: 4C1 * 9C2 = 144
Case 2
2french 1either German or Spanish: 4C2 * 9C1 = 54
Case 3
3french 4C3 = 4
Answer is C
Question: Car A runs at the speed of 58km/hr & reaches its destination in 8hr. Car B runs at the speed of 70 km/h & reaches its destination in 4h. What is the respective ratio of distances covered by Car A & Car B?
A.11 : 6
B.12 : 7
C.29 : 18
D.15 : 6
Answer: C.29 : 18
Explanation: Sol. Distance travelled by Car A = 58 Ã— 8 = 464 km
Distance travelled by Car B = 70 Ã— 4 = 280 km
Ratio = 464/280 = 29 : 18
C
Question: A rectangle has a perimeter of 176 inches. The length of the rectangle is 8 inches more than its width. What is the area of the rectangle?
A.1,408 square inches
B.1,920 square inches
C.1,936 square inches
D.2,304 square inches
Answer: B.1,920 square inches
Explanation: Explanation:
We have: (l - b) = 8 and 2(l + b) = 176 or (l + b) = 88.
Solving the two equations, we get: l = 48 and b = 40.
Area = (l x b) = (48 x 40) in2 = 1920 in2.
Correct answer: B
Question: What number comes next?
582, 693, 715, 826, 937, ?
A.113
B.231
C.245
D.158
Answer: D.158
Explanation: D
158
The numbers 58269371 are being repeated in the same sequence.
Question: On a trip covering 400 km, a bicyclist travels the first 100 km at 20 km per hour and the remainder of the distance at 15 km per hour. What is the average speed, in km per hour, for the entire trip?
A.15.5
B.16.0
C.16.5
D.17.0
Answer: B.16.0
Explanation: time 1 = 100 / 20 = 5 hours
time 2 = 300 / 15 = 20 hours
total time = 25 hours
average speed = 400 / 25 = 16 km/hr
The answer is B.
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 37, the how old is B?
A.10 years
B.12 years
C.14 years
D.15 years
Answer: C.14 years
Explanation: Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.
(2x + 2) + 2x + x = 37
5x = 35
x = 7.
Hence, B's age = 2x = 14 years.
C)
Question: After spending 40 percent machinery, 25 percent in building , 15 percent in raw material and 5 percent on furniture . John had a balance of Rs.1305. Total money with him was?
A.6700
B.8700
C.9400
D.9800
Answer: B.8700
Explanation: [100 - (40+25+5+15)] % of x = 1305
\inline \Rightarrow 15% of x =1305
\inline \Rightarrow \frac{15}{100}\times x=1305
\inline \therefore x=\frac{1305\times 100}{15}=8700
B
Question: In an exam 49% candidates failed in English and 36% failed in Hindi and 15% failed in both subjects. If the total number of candidates who passed in English alone is 630. What is the total number of candidates appeared in exam?
A.2000
B.3000
C.3500
D.3800
Answer: B.3000
Explanation: not fail in english =51%
not fail in hindi =64%
not fail in both =30 %(49+36-15)
pass in english only=51-30=21
21/100*x=630
x=3000
ANSWER:B
Question: Express a speed of 108 kmph in meters per second?
A.30 mps
B.76 mps
C.26 mps
D.97 mps
Answer: A.30 mps
Explanation: 108 * 5/18
= 30 mps
Answer:A
Question: The average weight of a group of boys is 30 kg. After a boy of weight 33 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
A.A)4
B.B)8
C.C)6
D.D)2
Answer: D.D)2
Explanation: Let the number off boys in the group originally be x.
Total weight of the boys = 30x
After the boy weighing 33 kg joins the group, total weight of boys = 30x + 33
So 30x + 33 = 31(x + 1) = > x = 2.
Answer:D
Question: if the list price of a book is reduced by Rs.5,then a person can buy 5 more books for Rs.300. The original cost of the book is
A.Rs.15
B.Rs.20
C.Rs.25
D.Rs.30
Answer: B.Rs.20
Explanation: 300/(x-5)-300/x=5
x=20
ANSWER:B
Question: 5 people meet for a business lunch. Each person shakes hands once with each other person present. How many handshakes take place?
A.30
B.21
C.10
D.15
Answer: C.10
Explanation: the formula to count handshakes is n(n−1)2n(n−1)2
Where n is the number of people
=> 5(5-1)/2 = 5*4/2 = 20/2 = 10
=> the answer is C(10)
Question: In a colony the municipality decided to number the houses and the shops. They want to number the shops with the numbers containing 3 between 1-100. The houses are 10-20 floored and at the back of the houses 8 feet is left for fire exit. How many shops can be numbered?
A.19
B.20
C.21
D.22
Answer: A.19
Explanation: 3numbers containing 3
--->3,13,23,... = 10 numbers
---->30,31,32... = 10 numbers
total = 20 -1 = 19
ANSWER:A
Question: For which of the following does f(u)−f(v)=f(u−v) for all values of u and v?
A.f(a)=a^2
B.f(a)=a/2
C.f(a)=a+5
D.f(a)=2a−1
Answer: B.f(a)=a/2
Explanation: To solve this easiest way is just put the value and see that if it equals or not.
with option 1. f(u) = u^2 and f(v) = v^2
so L.H.S = u^2 - v^2
and R.H.S = (u-v)^2 ==> u^2 + v^2 -2uv.
so L.H.S not equal to R.H.S
with option 2. f(u) = u/2 and f(v) = v/2
L.H.S = u/2 - v/2 ==> 1/2(u-v)
R.H.S = (u-v)/2
so L.H.S = R.H.S which is the correct answer.
B
Question: What is the are of an equilateral triangle of side 16 cm?
A.64√5
B.64√9
C.64√4
D.64√3
Answer: D.64√3
Explanation: Area of an equilateral triangle = √3/4 S2
If S = 16, Area of triangle = √3/4 * 16 * 16 = 64√3 cm2;
Answer: D
Question: What percent of 60 is 110?
A.133 1⁄3
B.75
C.183.33
D.33 1⁄3
Answer: C.183.33
Explanation: % of 60 is 110?
= 110/60 = 11/6 = 183.33%
Thus C is the correct answer.
Question: When a parabola represented by the equation y - 2x 2 = 8 x + 5 is translated 3 units to the left and 2 units up, the new parabola has its vertex at
A.(-5 , -1)
B.(-5 , -5)
C.(-1 , -3)
D.(-2 , -3)
Answer: A.(-5 , -1)
Explanation: Solution
First rewrite y - 2x 2 = 8 x + 5 as
y = 2x 2 + 8 x + 5
Complete square and determine vertex.
y = 2(x 2 + 4x + 4) - 8 + 5
= 2(x + 2) 2 - 3
vertex at (- 2 , - 3)
If parabola is translated 3 units to the left and 2 units up its vertex is also translated 3 units to the right and 2 units up .
vertex after translations is at: (-2 - 3 , - 3 + 2) = (-5 , -1)
Answer A
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
A.19
B.17
C.10
D.12
Answer: D.12
Explanation: Speed of the boat downstream = 15 + 3 = 18 kmph
= 18 * 5/18 = 5 m/s
Hence time taken to cover 60 m = 60/5 = 12 seconds. Answer: D
Question: Sarah makes handmade jewelry. This month she has created 253 necklaces. If she distributes her jewelry evenly to the 6 jewelry stores in town, how many necklaces remain with her?
A.0 necklaces
B.1 necklace
C.2 necklaces
D.3 necklaces
Answer: B.1 necklace
Explanation: We need to find the first number that is divisible by 6 that occurs before 253.
In order to divide the sum in 6 parts, the amount must be divisible by 6.
Divisibility rule of 6: A number is divisible by 6 if it is divisible by both 2 and 3
Divisibility rule of 3: A number is divisible by 3 if the sum of the digits is divisible by 3
We need to make this number even in order for it to be divisible by 2. So we must subtract an even number
Sum of digits of 253 = 10 and 9 is divisible by 3 and subtracting 1 yields an even number
Hence, we remove 1 from this number for it to be divisible by 6
Correct Option: B
Question: Tough and Tricky questions: Probability.
Medical analysts predict that one over five of all people who are infected by a certain biological agent could be expected to be killed for each day that passes during which they have not received an antidote. What fraction of a group of 1,000 people could be expected to be killed if infected and not treated for three full days?
A.16/81
B.8/27
C.2/3
D.61/125
Answer: D.61/125
Explanation: At the end of each day we will have 4/5 alive. So after 3 days we will have (4/5)^3 people alive. Therefore, fraction of dead people will be 1-(4/5)^3=61/125.
The correct answer is D.
Question: The perimeter of one square is 48 cm and that of another is 24 cm. Find the perimeter and the diagonal of a square which is equal in area to these two combined?
A.13√4
B.13√2
C.13.4√2
D.12√4
Answer: C.13.4√2
Explanation: 4a = 48 4a = 24
a = 12 a = 6
a2 = 144 a2 = 36
Combined area = a2 = 180 => a = 13.4
d = 13.4√2
Answer: C
Question: Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car?
A.767 km
B.176 km
C.960 km
D.199 km
Answer: C.960 km
Explanation: 60(x + 1) = 64x
X = 15
60 * 16 = 960 km
Answer:C
Question: When 2 dices tossed, what is the probability that 2 numbers faced have difference 2?
A.1/9
B.2/9
C.1/3
D.4/9
Answer: B.2/9
Explanation: Combinations are (1,3), (2,4), (3,5), (4,6), (3,1), (4,2), (5,3), (6,4)
So, total = 8
Hence, Probability = 8/36 = 2/9
answer:B
Question: A Pharmacy company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 8 hrs and a machine of type S does the same job in 4 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?
A.3
B.4
C.2
D.9
Answer: C.2
Explanation: Rate of machine R =1/8
Rate of machine S =1/4
since same no of machines used for R and S to do the same work in 2 hrs
So collective rate needed to finish the work in 2 hrs= 1/2
Let the no of machine be x
So, x/8 +x/4 =1/2
3x/8=1/2
x=8/6=1.3=2
So no of machine R is 2
Answer C
Question: Eggs are sold in packages of six or eleven only. If Doris bought 79 eggs exactly, what could be the number of large packs Doris bought?
A.6.
B.2.
C.3.
D.5.
Answer: D.5.
Explanation: No strategy involved. Simple question demanding fast calculation.
11x5 = 55 => 79-55=24=> 24/6 is an integer
Ans D. 5.
Good luck
Question: What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30?
A.196
B.630
C.1260
D.2520
Answer: B.630
Explanation: L.C.M of 12, 18, 21, 30
= 2 * 3 * 2 * 3 * 7 * 5 = 1260
Required number = 1260/2 = 630.
ANSWER:B
Question: The perimeter of a triangle is 44 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
A.38 cm2
B.55 cm2
C.65 cm2
D.45 cm2
Answer: B.55 cm2
Explanation: Area of a triangle = r * s
Where r is the inradius and s is the semi perimeter of the triangle.
Area of triangle = 2.5 * 44/2 = 55 cm2
Answer:B
Question: How much interest can a person get on Rs. 6280 at 15.5% p.a. simple interest for a period of five years and six months?
A.5353.72
B.5353.71
C.5353.7
D.5353.73
Answer: C.5353.7
Explanation: I = (6280 * 5.5 * 15.5)/100
= (6280 * 11 * 31)/(100 * 2 * 2)
= Rs. 5353.7
Answer: C
Question: Two interconnected, circular gears travel at the same circumferential rate. If Gear A has a diameter of 40 centimeters and Gear B has a diameter of 50 centimeters, what is the ratio of the number of revolutions that Gear A makes per minute to the number of revolutions that Gear B makes per minute?
A.4:5
B.9:25
C.5:4
D.25:9
Answer: C.5:4
Explanation: Same circumferential rate means that a point on both the gears would take same time to come back to the same position again.
Hence in other words, time taken by the point to cover the circumference of gear A = time take by point to cover the circumference of gear B
Time A = 2*pi*25/Speed A
Time B = 2*pi*20/Speed B
Since the times are same,
50pi/Speed A = 40pi/Speed B
SpeedA/Speed B = 50pi/30pi = 5/4
Correct Option: C
Question: What is the dividend. divisor 19, the quotient is 7 and the remainder is 6
A.136
B.137
C.138
D.139
Answer: D.139
Explanation: D = d * Q + R
D = 19 * 7 + 6
D = 133 + 6
D = 139
Question: If log 27 = 1.731, then the value of log 9 is:
A.0.934
B.0.945
C.0.954
D.1.156
Answer: D.1.156
Explanation: log 27 = 1.731
log (33 ) = 1.731
3 log 3 = 1.731
log 3 = 0.578
log 9 = log(32 ) = 2 log 3 = (2 x 0.578) = 1.156.
Answer: Option D
Question: A merchant marks goods up by 75% and then offers a discount on the marked price. The profit that the merchant makes after offering the discount is 57.5%. What % discount did the merchant offer?
A.10%
B.15%
C.20%
D.25%
Answer: A.10%
Explanation: Let P be the original price of the goods and let x be the rate after the markup.
(1.75P)*x = 1.575P
x = 1.575/1.75 = 0.9 which is a discount of 10%.
The answer is A.
Question: The cost of 15 packets of sugar, each weighing 900 grams is Rs. 28. What will be the cost of 27 packets, if each packet weighs 1 kg?
A.Rs 52.50
B.Rs 56
C.Rs 58.50
D.Rs 64.75
Answer: B.Rs 56
Explanation: Explanation :
Let the required cost be Rs. x. Then,
More packets, More cost (Direct Proportion)
More weight, More cost (Direct Proportion)
Packets 15 : 27
Weight 900 : 1000 :: 28 : x
(15 x 900 x x) = (27 x 1000 x 28)
x = (27 x 1000 x 28) /15 x 900
= 56
Answer B
Question: What is the greatest of 3 consecutive integers whose sum is 24 ?
A.6
B.7
C.8
D.9
Answer: D.9
Explanation: The sum of three consecutive integers can be written as n + (n + 1) + (n + 2) = 3n + 3
If the sum is 24, we need to solve the equation 3n + 3 = 24;
=> 3n = 21;
=> n = 7
The greatest of the three numbers is therefore 7 + 2 = 9 Answer: D
Question: A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
A.18:11
B.18:15
C.18:19
D.18:13
Answer: A.18:11
Explanation: A invests Rs.8000 for 18 months, but B invests Rs.8000 for the first 4 months and then withdraws Rs.4000. So, the investment of B for remaining 14 months is Rs.4000 only.
A : B
8000*18 : (8000*4) + (4000*14)
14400 : 88000
A:B = 18:11
Answer: A
Question: There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle.
A.11
B.14
C.12
D.18
Answer: C.12
Explanation: Let the radii of the larger and the smaller circles be l cm and s cm respectively. Let the side of the square be a cm.
a2 = 784 = (4)(196) = (22).(142)
a = (2)(14) = 28
a = 2l, l = a/2 = 14
l = (7/3)s
Therefore s = (3/7)(l) = 6 Circumference of the smaller circle = 2∏s = 12∏ cm.Answer: C
Question: Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 35% profit?
A.16.39
B.16.33
C.16.35
D.17.01
Answer: D.17.01
Explanation: C.P. of 50 kg wheat = (30 * 11.50 + 20 * 14.25) = Rs. 630.
S.P. of 50 kg wheat = 135% of Rs. 630 = 135/100 * 630 = Rs. 850.50.
S.P. per kg = 850.50/50 = Rs. 16.38 = 16.30.
Answer: D
Question: The value of log5(1/ 125) is
A.3
B.-3
C.1/3
D.-1/3
Answer: B.-3
Explanation: Solution
Let log5(1/125)	= n.
Then, 5n= 1/125
‹=›5n =5-3
n= -3.
Answer B
Question: If the price of an article went up by 20%, then by what percent should it be brought down to bring it back to its original price?
A.16 2/3%
B.16 8/3%
C.16 2/7%
D.16 2/1%
Answer: A.16 2/3%
Explanation: Let the price of the article be Rs. 100.
20% of 100 = 20.
New price = 100 + 20 = Rs. 120
Required percentage = (120 - 100)/120 * 100
= 20/120 * 100 = 50/3 = 16 2/3%.
Answer: A
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.29
B.27
C.18
D.28
Answer: C.18
Explanation: 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
Question: If a trader sold two cars each at Rs. 404415 and gains 15% on the first and loses 15% on the second, then his profit or loss percent on the whole is ?
A.1.44 %
B.2.02 %
C.1.04 %
D.2.25 %
Answer: D.2.25 %
Explanation: Explanation:
SP of each car is Rs. 404415, he gains 15% on first car and losses 15% on second car.
In this case, there will be loss and percentage of loss is given by = [(profit%)(loss%)]/100
= (15)(15)/100 % = 2.25%
ANSWER IS D
Question: 60% of a number is added to 120, the result is the same number. Find the number?
A.300
B.278
C.267
D.266
Answer: A.300
Explanation: (60/100) * X + 120 = X
2X = 600
X = 300
Answer: A
Question: The mean of (54,825)^2 and (54,827)^2 =
A.(54,821)^2
B.(54,821.5)^2
C.(54,820.5)^2
D.(54,826)^2 + 1
Answer: D.(54,826)^2 + 1
Explanation: 54825^2 = (54826-1)^2 = 54826^2 + 1^2 - 2*54826*1
54827^2 = (54826+1)^2 = 54826^2 +1^2 + 2*54826*1
Taking the average of above 2 , we get (54826)^2 +1
hence the answer is D
Question: In how many ways can the letters of the word CREATION be arranged such that all the vowels always appear together?
A.5!*4!
B.8!
C.8!*4!
D.4!*4!
Answer: A.5!*4!
Explanation: The 8 letters can be grouped into 4 consonants and one set of 4 vowels.
The number of ways to arrange 5 units is 5!
Then, for each arrangement, the 4 vowels can be arranged in 4! ways.
The total number of arrangements is 5!*4!
The answer is A.
Question: A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
A.14 years
B.18 years
C.20 years
D.22 years
Answer: D.22 years
Explanation: Let the son's present age be x years. Then, man's present age = (x + 24) years.
(x + 24) + 2 = 2(x + 2)
x + 26 = 2x + 4
x = 22.
answer :D
Question: The average weight of 8 person's increases by 4 kg when a new person comes in place of one of them weighing 55 kg. What might be the weight of the new person?
A.80 kg
B.87 kg
C.90 kg
D.100 kg
Answer: B.87 kg
Explanation: Total weight increased = (8 x 4) kg = 32 kg.
Weight of new person = (55 + 32) kg = 87 kg.
B)
Question: A merchant gains or loses, in a bargain, a certain sum. In a second bargain, he gains 450 dollars, and, in a third, loses 30. In the end he finds he has gained 100 dollars, by the three together. How much did he gain or lose bv the first ?
A.320
B.-340
C.-320
D.348
Answer: C.-320
Explanation: In this sum, as the profit and loss are opposite in their nature, they must be distinguished by contrary signs. If the profit is marked +, the loss must be -.
Let x = the sum required.
Then according to the statement x + 450 - 30 = 100
And x = -320.
Answer C
Question: When the perimeter of a regular polygon is divided by 5, the length of a side is 25. What is the name of the polygon? What is the perimeter?
A.125
B.126
C.127
D.128
Answer: A.125
Explanation: Regular polygon. A polygon with equal sides and equal sides.
Divided by 5 to get the length of a side. It is the pentagon since it has 5 sides.
So p = 5 × s
To get the perimeter, just multiply a side by 5.
Since 25 × 5 = 125, the perimeter is 125.
Answer A
Question: A total of 320 chocolates were distributed among 100 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates. Find the respective number of boys and girls?
A.10,10
B.30,40
C.70, 50
D.20,20
Answer: D.20,20
Explanation: Let the number of boys be x.
Number of girls is 100 - x.
Total number of chocolates received by boys and girls = 2x + 3(100 - x) = 320
=> 300 - x = 320 => x = 20.
So, the number of boys or girls is 20.
ANSWER:D
Question: According to a survey, at least 70% of people like apples, at least 75% like bananas and at least 85% like cherries. What is the minimum percentage of people who like all three?
A.15%
B.20%
C.25%
D.30%
Answer: D.30%
Explanation: It seems that something is wrong with your answer options.
1) minimum applesbananas:
[XXXXXXXXXXXXXX------] - apples
[-----XXXXXXXXXXXXXXX] - bananas
mimimum ab = 70 - (100-75) = 45%
2) minimum (applesbananas)cherries:
[XXXXXXXXX-----------] - applesbananas
[----XXXXXXXXXXXXXXXX] - cherries
mimimum ab = 45 - (100-85) =30%
D
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 sec. The speed of the train is?
A.25 km/hr
B.50 km/hr
C.12 km/hr
D.40 km/hr
Answer: B.50 km/hr
Explanation: Answer: Option B
Speed of the train relative to man = 125/10 = 25/2 m/sec.
= 25/2 * 18/5 = 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.
Question: A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 26 m * 2 m * 0.75 m?
A.26000
B.27782
C.27891
D.25000
Answer: A.26000
Explanation: 26 * 2 * 0.75 = 20/100 * 10/100 * 7.5/100 * x
26 = 1/1000 * x => x = 26000
Answer: A
Question: Rahul can do a work in 3 days while Rajesh can do the same work in 2days. Both of them finish the work together and get $355. What is the share of Rahul?
A.$50
B.$142
C.$60
D.$100
Answer: B.$142
Explanation: Rahul's wages: Rajesh's wages = 1/3 : 1/2 = 2:3
Rahul's share = 355*2/5 = $142
Answer is B
Question: During one month at a particular restaurant, 1/6 of the burgers sold were veggie burgers and 1/3 of the rest of the burgers sold were double-meat. If x of the burgers sold were double-meat, how many were veggie burgers?
A.x/8
B.x/2
C.2x/3
D.3x/5
Answer: D.3x/5
Explanation: Let y be the number of total burgers.
veggie = y/6 , non veggie = 5y/6
1/4 of the rest of the burgers sold were double-meat
=> 5y/6 * 1/3 = double meat = x
=> y/6 = 3x/5 = veggie
Hence D