RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A corporation four time of its annual bonus to 35 of its employees. What percent of the employees’ new bonus is the increase?
A.5%
B.12%
C.25%
D.75%
Answer: D.75%
Explanation: Let the annual bonus be X.
A corporation triples its annual bonus.
So new bonus = 4X.
Increase = 4X-X =3X
The increase is what percent of the employees’ new bonus
= (3X/4X)*100
= 75%
Hence D.
Question: A can do a piece of work in 4 hours . A and C together can do it in just 2 hours, while B and C together need 3 hours to finish the same work. In how many hours B can complete the work ?
A.10 hours
B.12 hours
C.16 hours
D.18 hours
Answer: B.12 hours
Explanation: Explanation:
Work done by A in 1 hour = 1/4
Work done by B and C in 1 hour = 1/3
Work done by A and C in 1 hour = 1/2
Work done by A,B and C in 1 hour = (1/4)+(1/3) = 7/12
Work done by B in 1 hour = (7/12)–(1/2) = 1/12
=> B alone can complete the work in 12 hour
Option B
Question: A trailer carries 3, 4 and 6 crates on a trip. Each crate weighs no less than 100 kg. What is the maximum weight of the crates on a single trip?
A.100
B.625
C.600
D.7500
Answer: A.100
Explanation: Max No. of crates=6.
Max Weight=100Kg
Max. weight carried = 6*100=100Kg=A.
Question: Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 162. If the ratio of his marks in English and Maths is 3:5, find his marks in Science?
A.20
B.24
C.18
D.15
Answer: C.18
Explanation: S:E = 1:3
E:M = 3:5
------------
S:E:M = 3:9:15
3/27 * 162 = 18
ANSWER C
Question: Which of the following numbers is the biggest => [-6/7 , -7/8 , -9/10 , -12/13 , -34/35]
A.-6/7
B.-7/8
C.-9/10
D.-12/13
Answer: A.-6/7
Explanation: Another way to solve this question :
[-6/7 , -7/8 , -9/10 , -12/13 , -34/35] can be written as
-1+1/7, -1+1/8, -1 + 1/10, -1+1/13, -1+1/35
Now, in order to make the number larger, we need to add something larger to -1.
In first option, we can see 1/7 is the largest of all the other given
Hence, A
Question: The sum of the heights of two high-rises is x feet. If the second high rise is 37 feet taller than the first, how tall will the first high rise be ?
A.(x+z)/2 + 37
B.2x−(37+z)
C.(x−37)/2 + z
D.(x - 37 )/2
Answer: D.(x - 37 )/2
Explanation: I will note h1 the height of high-rise 1 and h2 the height of high-rise 2. SO:
h1 + h2 = x
and h12= h21+ 37 =>
h1 + h1+ 37 = x => 2h1 = x-37 =? h1 = (x-37)/2
, CORRECT ANSWER D
Question: A shopkeeper sold an article offering a discount of 5% and earned a profit of 42.5%. What would have been the percentage of profit earned if no discount had been offered?
A.28.5
B.27.675
C.30
D.50
Answer: D.50
Explanation: Giving no discount to customer implies selling the product on printed price. Suppose the cost price of the article is 100.
Then printed price = 100Ã—(100+42.5)/(100âˆ’5)=150
Hence, required % Profit = 150 â€“ 100 = 50%
Answer D
Question: There are 10 books on a shelf: 5 English books, 4 Spanish books and 2 Portuguese books. What is the probability of choosing 2 books in different languages?
A.31/90
B.3/10
C.1/3
D.38/45
Answer: D.38/45
Explanation: Probability = Favourable outcome / Total Outcome = 1- (Unfavourable outcome / Total Outcome)
Favourable Outcomes
Case-1: One book is English (out of 5 English books) and one book is Spanish (out of 4 Spanish books) i.e. 5C1*4C1
Case-2: One book is Spanish (out of 4 Spanish books) and one book is Portuguese (out of 2 Portuguese books) i.e. 4C1*2C1
Case-3: One book is English (out of 8 English books) and one book is Portuguese (out of 2 Portuguese books) i.e. 8C1*2C1
Total favourable Outcomes = 5C1*4C1+4C1*2C1+5C1*2C1 = 20+8+10 = 38
Total Possible Outcomes = 10C2 = 45
i.e. Probability = 38/45
D
Question: 3 people gave you 5 dollars. How many dollars do you have in all
A.15
B.17
C.0
D.67
Answer: A.15
Explanation: If 3 people give you 5 dollars you will have 15
3x5=15 A
Question: In a maths test, students were asked to find 5/16 of a certain number. One of the students by mistake found 5/6th of that number and his answer was 200 more than the correct answer. Find the number.
A.125
B.280
C.384
D.400
Answer: C.384
Explanation: Explanation:
Let the number be x.
5*x/6 = 5*x/16 + 200
25*x/48 = 200
x = 384
ANSWER: C
Question: The Red Hotel has booked 1/4 of its rooms. The Blue Hotel has Has three times the capacity of the red hotel but has only booked 1/8 of its rooms. If all the bookings from the Red Hotel switched to the Blue Hotel, What fraction of the Blue Hotel's rooms would be booked?
A.2/8
B.3/4
C.7/16
D.5/24
Answer: D.5/24
Explanation: We will pretend that the Red Hotel has a total of 8 rooms. This means that the Blue Hotel would have 24 rooms. From this, we can deduce that there is 2 bookings at the Red Hotel and 3 bookings at the Blue Hotel. If the two bookings from the Red Hotel moved to the blue hotel that would mean a total of 5 bookings at the Blue Hotel. This would make 5 of the 24 rooms would be filled. (Answer: D)
Question: A coin is weighted so that the probability of heads on any flip is 0.4, while the probability of tails is 0.6. If the coin is flipped 5 times independently, which of the following represents the probability that tails will appear no more than twice?
A.(0.4)^5 + 5(0.4)^4(0.6) + 10(0.4)^3(0.6)^2
B.(0.6)^5 + 4(0.6)^4(0.4) + 6(0.6)^3(0.4)^2
C.(0.6)^5 + 3(0.6)^4(0.4) + 2(0.6)^3(0.4)^2
D.(0.6)^5 + 2(0.6)^4(0.4) + (0.6)^3(0.4)^2
Answer: A.(0.4)^5 + 5(0.4)^4(0.6) + 10(0.4)^3(0.6)^2
Explanation: Probability of Head, P(H) = 0.4
Probability of Tail, P(T) = 0.6
Tail will appear NO more than twice
i.e. favourable cases
2 Tails and 3 Heads, Probability = 5C2*(0.4)^3*(0.6)^2
1 Tail and 4 Heads, Probability = 5C1*(0.4)^4*(0.6)^2
0 Tail and 5 Heads, Probability = (0.4)^5
Required Probability = Sum of all Favourable cases = (0.4)^5 + 5(0.4)^4(0.6) + 10(0.4)^3(0.6)^2
Answer: option A
Question: train start from mumbai to delhi at 12.00am with speed of 60km/hr another train starts from delhi to mumbai at 1.30 with speed of 80km/hr find time when they meet.
A.5am
B.6am
C.7am
D.8am
Answer: B.6am
Explanation: 1 train 12.00 = 60km ; 2 train 1.30 = 80km;
1 train travel till 1.30 = 90 km.
1 2
150 80 -2.30
210 160 3.30
270 240 4.30
330 320 5.30
360 360 6.00
so they meat at 6am
ANSWER:B
Question: What is the smallest positive integer x such that 720-x is the cube of a positive integer
A.5
B.7
C.47
D.9
Answer: D.9
Explanation: Given 738-x is a perfect cube
so we will take 729 = 9*9*9
738-x = 729
x =738-729 = 9
correct option is D
Question: In a candy dish the ratio of red to yellow candies is 2:5, the ratio of red to green candies is 3:8, and the ratio of yellow ot blue candies is 9:2.what is the maximum total number T of yellow and green candies combined if the maximum combined number of red and blue candies is fewer than 85?
A.144
B.189
C.234
D.279
Answer: D.279
Explanation: Given that Red is to yellow is 2:5, Red is to green is 3:8 and Yellow is to blue is 9:2.
Therefore, the total number of red, yellow, blue and green balls will be 18x, 45x, 10x and 48x respectively, where x is a constant.
If the combined number of red and blue balls is fewer than 85, i.e. max 84 balls, then the maximum number of yellow and green balls will be 279.
(10x+18x) < 85.
28x < 85, i.e. 28x <= 84 (Since number of balls cannot be in fraction). Thus, x<=3.
(45x+48x) = 93x.
Max (93x) T= 279.
Answer is D.
Question: A is half good a work man as B and together they finish a job in 32 days. In how many days working alone B finish the job?
A.98 days
B.21 days
C.48 days
D.18 days
Answer: C.48 days
Explanation: WC = 1:2
2x + x = 1/32 => x = 1/96
2x = 1/96 => 48 days
Answer:C
Question: How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
A.22
B.28
C.25
D.77
Answer: C.25
Explanation: D = 100 + 150 = 250
S = 36 * 5/18 = 10 mps
T = 250/10 = 25 sec
Answer: C
Question: At Veridux Corporation, there are 250 employees. Of these, 90 are female, and the rest are males. There are a total of 40 managers, and the rest of the employees are associates. If there are a total of 160 male associates, how many female managers are there?
A.40
B.20
C.25
D.30
Answer: A.40
Explanation: 250 Employees:
90 Male, 160 Female
40 Managers, 210 Associates
160 Male Associates implies 50 Female Associates which means the remaining 40 females must be Managers
A. 40
Question: A tradesman sold an article at a loss of 10%. If the selling price had been increased by $50, there would have been a gain of 10%. What was the cost price of the article ?
A.$100
B.$250
C.$200
D.$150
Answer: B.$250
Explanation: Let C.P. be $x
then, (110% of x)-(90% of x) = 50 or 20% of x=100
x/5 = 50
x=250
C.P. = $250
correct option is B
Question: Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:
A.39, 30
B.41, 32
C.42, 33
D.43, 34
Answer: C.42, 33
Explanation: Let their marks be (x + 9) and x.
Then, x + 9 =	56	/100(x + 9 + x)
=25(x + 9) = 14(2x + 9)
= 3x = 99
=x = 33
So, their marks are 42 and 33.
ANSWER IS C
Question: Larry, Michael, and Peter have five donuts to share. If any one of the men can be given any whole number of donuts from 0 to 5, in how many different ways can the donuts be distributed?
A. 21
B. 42
C. 120
D. 504
Answer: A. 21
Explanation: Larry, Michael, and Peter have five donuts to share.to get the answer, see how can we get sum5with 3 numbers.
1) 0,0,5 = 3 combinations or 3! /2!
2) 0,1,4 = 6 combinations or 3!
similarly
3) 0,2,3 = 6 combinations
4) 1,1,3 = 3 combination
5) 2,2,1 = 3 combination
total =21=A
Question: If n is a natural number, then (6n2 + 6n) is always divisible by:
A.6 only
B.12 only
C.6 and 12 both
D.by 18 only
Answer: C.6 and 12 both
Explanation: (6n^2 + 6n) = 6n(n + 1), which is always divisible by 6 and 12 both, since n(n + 1) is always even.
Answer C) 6 and 12 both.
Question: What is the average of all the multiples of ten from 10 to 200 inclusive?
A.90
B.95
C.100
D.105
Answer: D.105
Explanation: The multiples of ten from 10 to 190 inclusive would be an evenly spaced set with 19 terms - 10, 20, 30,.......190
So average = (First term + Last Term)/2 = (10 + 200)/2 = 210/2 = 105
Hence, the correct answer is D.
Question: Jill has 28 gallons of water stored in quart, half-gallon, and one gallon jars. She has equal numbers of each size jar holding the liquid. What is the total number of water filled jars?
A.3
B.6
C.48
D.12
Answer: C.48
Explanation: Let the number of each size of jar = wthen 1/4w + 1/2w + w = 28 1 3/4w = 28w=16The total number of jars = 3w =48Answer: C
Question: Three candidates contested an election and received 1136, 7636 and 15628 votes respectively. What percentage of the total votes did the winning candidate got?
A.55%
B.64%
C.57%
D.58%
Answer: B.64%
Explanation: Total number of votes polled = (1136 + 7636 + 15628) = 24400
So, Required percentage = 15628/24400 * 100 = 64%
ANSWER : B
Question: How many seconds will a 500 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ?
A.33
B.87
C.30
D.88
Answer: C.30
Explanation: Explanation:
Distance = 500 m
Speed of the train relative to man= ( 63 - 3 ) km/hr = 60 km/hr
= m/s = m/s
Time taken to pass the man = distance/speed = sec = 30 sec
Answer: C) 30
Question: What will be the fraction of 10%
A.1/10
B.1/50
C.1/75
D.1/25
Answer: A.1/10
Explanation: Explanation:
10*1/100 = 1/10
Option A
Question: A computer factory produces 3024 computers per month at a constant rate, how many computers are built every 30 minutes assuming that there are 28 days in one month?
A.2.25.
B.3.125.
C.4.5.
D.5.225.
Answer: A.2.25.
Explanation: Number of hours in 28 days = 28*24
Number of 30 mins in 28 days = 28*24*2
Number of computers built every 30 mins = 3024/( 28*24*2) = 2.25
Answer A
Question: A train travels 290 km in 4.5 hours and 400 km in 5.5 hours.find the average speed of train.
A.80 kmph
B.69 kmph
C.70 kmph
D.90 kmph
Answer: B.69 kmph
Explanation: As we know that Speed = Distance / Time
for average speed = Total Distance / Total Time Taken
Thus, Total Distance = 290 + 400 = 690 km
Thus, Total Speed = 10 hrs
or,Average Speed = 690/10
or, 69 kmph.
ANSWER:B
Question: 6 men or 6 women can do a piece of work in 20 days. In how many days will 12 men and 8 women do the same work?
A.12/9 days
B.6 days
C.82/8 days
D.22/76 days
Answer: B.6 days
Explanation: 6M = 6W ---- 20 days
12M + 8W -----?
12W + 8 W = 20W ---?
6W ---- 20 20 -----?
6 * 20 = 20 * x => x = 6 days
Answer:B
Question: In an election, candidate Douglas won 54 percent of the total vote in Counties X and Y. He won 62 percent of the vote in County X. If the ratio of people who voted in County X to County Y is 2: 1, what percent of the vote did candidate Douglas win in County Y?
A.25%
B.28%
C.32%
D.38%
Answer: D.38%
Explanation: given voters in ratio 2:1
let X has 200 votersY has 100 voters
for X 62% voted means 62*200=124 votes
combined for XY has 300 voters and voted 54% so total votes =162
balance votes=162-124=38
As Y has 100 voters so 38 votes means 38% of votes required
Ans D
Question: An engineer undertakes a project to build a road 10 km long in 150 days and employs 30 men for the purpose. After 50 days, he finds only 2 km of the road has been completed. Find the (approximate) number of extra men he must employ to finish the work in time.
A.22
B.30
C.15
D.18
Answer: B.30
Explanation: 30 workers working already
Let x be the total men required to finish the task in next 100 days
2 km done hence remaining is 8 km
Also, work has to be completed in next 100 days (150 - 50 = 100)
We know that, proportion of men to distance is direct proportion
and, proportion of men to days is inverse proportion
Hence, X = (30 * 8 * 50) / (2 *100)
thus, X = 60
Thus, more men needed to finish the task = 60-30=30
Answer : B
Question: Can you find the last number in the number sequence given below?
10 : 10 : 20 : 45 : 110 : 300 : ?
A.920
B.930
C.940
D.950
Answer: B.930
Explanation: Solution:
930
Explanation:
New number = Last number * multiplication factor (increased by 0.5 every time) + sum factor (increased by 5 every time)
10
10 * 0.5 + 5 => 10
10 * 1.0 + 10 => 20
20 * 1.5 + 15 => 45
45 * 2.0 + 20 => 110
110 * 2.5 + 25 => 300
300 * 3.0 + 30 => 930 , desired answer
Answer B
Question: When a number is divided by 6 &then multiply by 12 the answer is 9 what is the no.?
A.4.5
B.5
C.4.8
D.5.6
Answer: A.4.5
Explanation: if $x$ is the number, x/6 * 12 = 9
=> 2x = 9
=> x = 4.5
A
Question: A completes a work in 4 days and B complete the same work in 12 days. If both of them work together, then the number of days required to complete the work will be?
A.3 days
B.11 days
C.21 days
D.22 days
Answer: A.3 days
Explanation: If A can complete a work in x days and B can complete the same work in y days, then, both
of them together can complete the work in x y/ x+ y days
Therefore, here, the required number of days = 4 Ã— 12/ 16 = 3 days.
Option 'A'
Question: What is the dividend. divisor 17, the quotient is 9 and the remainder is 5
A.145
B.148
C.150
D.153
Answer: D.153
Explanation: D = d * Q + R
D = 17 * 9 + 5
D = 153 + 5
D = 158
Question: On a certain transatlantic crossing, 20 percent of a ship's passengers held round-trip tickets and also took their cars abroad the ship. If 50 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the ship's passengers held round-trip tickets?
A.33.3%
B.40%
C.50%
D.60%
Answer: B.40%
Explanation: 0.20P = RT + C
0.5(RT) = no C
=> 0.50(RT) had C
0.20P = 0.50(RT)
RT/P = 40%
Answer - B
Question: Two quarts containing 7⁄8 water and 1/8 formula are mixed with three quarts containing 7⁄10 water and 2⁄10 formula. Approximately what percent of the combined five-quart mixture is water?
A.60%
B.55%
C.65%
D.77%
Answer: D.77%
Explanation: 7/8 of 2 quarts = 14/8 quarts of water
7/10 of 3 quarts = 21/10 quarts of water
14/8 = 1.75
21/10 = 2.10
Total water = 1.75 + 2.10= 3.85
Total quarts = 5
3.85/5 = 77%
Answer : D
Question: If two letters are chosen at random (without replacement) from the word COMPUTER, what is the probability that none of the letters are vowels?
A.2/7
B.3/7
C.3/14
D.5/14
Answer: D.5/14
Explanation: The number of ways to choose two letters is 8C2 = 28
The number of ways to choose two consonants is 5C2 = 10.
P(no vowels) = 10/28 = 5/14
The answer is D.
Question: The R students in a class agree to contribute equally to buy their teacher a birthday present that costs y dollars. If e of the students later fail to contribute their share, which of the following represents the additional number of dollars that each of the remaining students must contribute in order to pay for the present?
A. y/R
B. y/(R-x)
C. xy/(R-x)
D. ey/(R(R-e))
Answer: D. ey/(R(R-e))
Explanation: y/(R-e)- y/R
if we simplify this we get choice D, which is the correct answer.
Question: The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 20%, then the cost price of the article is:
A.500
B.277
C.466.7
D.297
Answer: C.466.7
Explanation: Explanation:
110% of S.P. = 616
S.P. = (616 * 100)/110 = Rs. 560
C.P = (100 * 560)/120 = Rs. 466.7
Answer:C
Question: One fourth of a solution that was 10 percent oats by weight was replaced by a second solution resulting in a solution that was 16 percent oats by weight. The second solution was what percent oats by weight ?
A.34%
B.24%
C.22%
D.18%
Answer: A.34%
Explanation: EQ can be written as ...
let sol be s... so (3/4)s*(.1)+(1/4)s*t=s*(.16).... we get t(% of oats in 2nd sol)=34%=A
Question: Express a speed of 18 kmph in meters per second?
A.5 mps
B.10 mps
C.6 mps
D.7 mps
Answer: A.5 mps
Explanation: 18 * 5/18
= 5 mps
Answer:A
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.3/95
C.31/10
D.3/55
Answer: B.3/95
Explanation: 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)
= 1x4/20x3/19
= 3/95
Answer: B
Question: An electrical appliances store sold this month 400% more than the average of all the other months in the year. The sales total for this month was approximately what percent of total sales for this year?
A.14%
B.21%.
C.31%.
D.37%.
Answer: B.21%.
Explanation: The average sales for all the other months (11 months) of the year is x.
So, the total sales of those 11 months will be= 11x
Now, this month's sales, which is 400% more than the average of other months' sales, is 5x, (x+400% of x).
Thus, this month's' sales are (5x/16x)*100=31.25% of the total yearly sales. [Total sales=11x+5x=16x]
Answer is B
Question: If m=9^(x−1), then in terms of m, 3^(4x−3) must be which of the following?
A.m/3
B.9m
C.3m^2
D.m^2/3
Answer: C.3m^2
Explanation: m = 9 ^ (X-1)
m = 3 ^ (2x-2)
m^2 = 3 ^ (4x-4)
3m^2 = 3 ^ (4x-3)
Answer C
Question: A can do a piece of work in 12 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in?
A.15 5/8 days
B.10 5/8 days
C.12 5/8 days
D.19 5/8 days
Answer: B.10 5/8 days
Explanation: B
(x â€“ 5)/12 + x/20 = 1
x = 10 5/8 days
Question: the egg vendor calls on his 1st customer and sells his half his eggs and half an egg.to the 2nd customer he sells half of what he had left and half an egg,and to the 3rd customer he sells half of what he had then left and half an egg.by the way he did not break any eggs.in the end 3 eggs were remainig.how many did he start out with?
A.21
B.31
C.41
D.51
Answer: B.31
Explanation: He start out with 31eggs.
In the end, he have 3eggs left.
So,
3*2 +1= 7
7*2 +1= 15
15*2 +1= 31
31eggs he had initially.
ANSWER:B
Question: Consider the formula M = 4c^2/d. If c is doubled and d is increased by a factor of 2, by what factor is M increased?
A.1
B.2
C.3
D.4
Answer: B.2
Explanation: We have,
M = 4c^2/d
If c is doubled and d is increased by a factor of 2, the formula changes to:
M = 4*{(2c)^2}/(2d)
M = 4*{4c^2}/(2d)
M = 4*[2c^2/d]
At first, M = 4c^2/d
After changing c and d, M = 2*4c^2/d
Hence, M changes by a factor of 2.
Answer = B = 2
Question: A team of seven entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?
A.288
B.581
C.168
D.127
Answer: B.581
Explanation: Explanation:
7 * 84 = 588 - 7 = 581
Answer:B
Question: P beats Q by 125 meter in a kilometer race. Find Q's speed if P's speed is 24 meter/sec.
A.21 meter/sec
B.7 meter/sec
C.14 meter/sec
D.18 meter/sec
Answer: A.21 meter/sec
Explanation: P's speed = 24 m/s
P's distance = 1000m (as it is a km race)
t = 1000/24 = 41.7 sec
Q's distance = 1000-125= 875m
Q's time to complete this distance is also 62.5 sec.
Q's speed = dist/time = 875/41.7 = 21 m/s
Hence A is the answer.
Question: A company plans to assign identification numbers to its employees. Each number is to consist of four different digits from 0 to 9, inclusive, except that the first digit cannot be 0. How many different identification numbers are possible?
A.3,024
B.4,536
C.5,040
D.9,000
Answer: B.4,536
Explanation: No. of ways select first digit (other than 0) * No of wasy select second digit (exclude first digit selected) * no of ways select 3rd digit (exclude first 2) * no of ways to select 4 th digit (excllude first 3 digits)
= 9*9*8*6= 4536
ANSWER:B
Question: 90, 180, 12, 50, 100, 100, ?, 3, 25, 4, 25, 2, 6, 30, 3
A.100
B.85
C.75
D.66
Answer: C.75
Explanation: 30*3=90
6*30=180
6*2=12
25*2=50
4*25=100
25*4=100
3*25=75 ans is 75
ANSWER:C
Question: Of the science books in a certain supply room, 40 are on botany, 45 are on zoology, 90 are on physics, 50 are on geology, and 110 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same area science?
A.186
B.225
C.294
D.302
Answer: C.294
Explanation: The worst case scenario is to remove all the books on botany, zoology, and geology.
Also we can remove 79 books each from physics and chemistry.
The total is 40 + 45 + 50 + 79 + 79 = 293.
The next book removed must either be physics or chemistry, ensuring 80 books in that subject.
The answer is C.
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 8500. He sold both the items together for Rs. 31150. What percentage of profit did he make?
A.30.05%
B.13.15%
C.40%
D.27.15%
Answer: D.27.15%
Explanation: The total CP = Rs. 16000 + Rs. 8500 = Rs. 24500 and SP = Rs. 31150
Profit(%) = (31150 - 24500 )/24500* 100 = 27.15%
ANSWER:D
Question: At a certain college, 60 percent of the total number of students are freshmen. If 40 percent of the fresh-men are enrolled in the school of liberal arts and, of these, 20 percent are psychology majors, what percent of the students at the college are freshmen psychology majors enrolled in the school of liberal arts?
A.4%
B.8%
C.4.2%
D.4.8%
Answer: D.4.8%
Explanation: Let's say there is a TOTAL of100students at this college.
60 percent of the total number of students are freshmen.
# of freshmen = 60% of 100 =60
40 percent of the fresh-men are enrolled in the school of liberal arts...
Number of liberal arts freshmen = 40% of 60 =24
...and, of these, 20 percent are psychology majors...
Number of liberal arts freshmen who are psychology majors = 20% of 24=4.8
What percent of the students at the college are freshmen psychology majors enrolled in the school of liberal arts?
4.8/100= 4.8%
Answer:D
Question: In the coordinate plane, rectangular region R has vertices at (0,0), (0,3), (4,3), and (4,0). If a point in region R is randomly selected, what is the probability that the point's y-coordinate will be greater than its x-coordinate?
A.7/12
B.5/12
C.3/8
D.1/3
Answer: C.3/8
Explanation: Now, rectangle R has an area of 3*4=12. All point that has y-coordinate greater than x-coordinate lie above the line y=xy=x, so in yellow triangle, which has an area of 1/2*3*3=4.5. So, the probability equals to favorable outcomes/total=yellow triangle/rectangle R=4.5/12=3/8.
Answer: C.