RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: On dividing 127 by a number, the quotient is 5 and the remainder is 2. Find the divisor.
A.25
B.30
C.35
D.40
Answer: A.25
Explanation: d = (D-R)/Q
= (127 - 2)/5
= 125/5 = 25
A
Question: In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
A.190
B.399
C.372
D.389
Answer: B.399
Explanation: Time taken by B run 1000 meters = (1000 * 10)/50
= 200 sec.
Time taken by A = 200 - 10
= 190 sec.
Answer: B
Question: If 5 women or 8 girls can do a work in 84 days. In how many days can 10 women and 5 girls can do the same work?
A.42 days
B.22 days
C.32 days
D.82 days
Answer: C.32 days
Explanation: C
32 days
Given that 5 women is equal to 8 girls to complete a work.
So, 10 women = 16 girls.
Therefore 10 women + 5 girls = 16 girls + 5 girls = 21 girls.
8 girls can do a work in 84 days then 21 girls can do a work in (8*84/21) = 32 days.
Therefore 10 women and 5 girls can a work in 32 days
Question: Which of the following values is the greatest
A.a) 30% of 89
B.b) 22% of 78
C.c) 33% of 67
D.d) 44% of 56
Answer: A.a) 30% of 89
Explanation: Are you sure that you checked the answer key correctly? I just signed up forVeritas(haven't started yet, not until March) but I have access to the materials and the answer key I'm looking at says A
Question: How long will a boy take to run round a square field of side 55 meters, if he runs at the rate of 9km/hr?
A.88sec
B.45sec
C.1min
D.32sec
Answer: A.88sec
Explanation: Speed = 9 km/hr = 9*5/18 = 5/2 m/sec
Distance = 55*4 = 220m
Time taken = 220*2/5 = 88sec
Answer is A
Question: What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years ?
A.1 : 3
B.1 : 4
C.2 : 3
D.Data inadequate
Answer: C.2 : 3
Explanation: Solution
22.20
Let the principal be P and rate of interest be R%.
∴ Required ratio =[(pxRx6/100) / (pxRx9/100)]=6PR/9PR
=6/9=2 : 3 .
Answer C
Question: The proportion of copper and zinc in the brass is 13:7. How much zinc will there be in 100 kg of brass?
A.65 kg
B.35 kg
C.88 kg
D.66 kg
Answer: B.35 kg
Explanation: 7/20 * 100
= 35
Answer:B
Question: If a: b = 3:4, b:c = 7:9, c:d = 5:7, find a:d?
A.5:12
B.7:12
C.3:11
D.5:11
Answer: A.5:12
Explanation: Explanation:
a/d = (3/4)*(7/9)*(5/7) => 5/12
ANSWER IS A
Question: A cistern 7 m long and 5 m wide contains water up to a breadth of 1 m 40 cm. Find the total area of the wet surface.
A.69 m sqaure
B.49 m sqaure
C.52 m sqaure
D.64 m sqaure
Answer: A.69 m sqaure
Explanation: Explanation:
Area of the wet surface =
2[lb+bh+hl] - lb = 2 [bh+hl] + lb
= 2[(5*1.40+7*1.40)]+7*5 = 69 m square
Option A
Question: Laxmi and Prasanna set on a journey. Laxmi moves northwards at a speed of 40kmph and Prasanna moves southward at a speed of 38 kmph. How far will be Prasanna from Laxmi after 60 minutes ?
A.11
B.50
C.78
D.27
Answer: C.78
Explanation: Explanation:
We know 60 min = 1 hr
Total northward Laxmi's distance = 40kmph x 1hr = 40 km
Total southward Prasanna's distance = 38kmph x 1hr = 38 km
Total distance between Prasanna and Laxmi is = 40 + 38 = 78 km.
Answer: C
Question: A rectangular carpet has an area of 60 sq.m. If its diagonal and longer side together equal 5 times the shorter side, the length of the carpet is:
A.5m
B.12m
C.13m
D.14.5m
Answer: B.12m
Explanation: Let, length= x meters and breadth= y meters
Then xy=60 and (x2+y2) + x= 5
Therefore, x=60 and (x2+y2)= (5y-x)2
Or xy=60 and 24y2-10xy=0.
Therefore, 24y2-10*60=0 or y2= 25 or =5.
Therefore, x= (60/5)m= 12m. So, length of the carpet = 12m
ANSWER:B
Question: 6, 11, 21, 36, 56, ?
A.65
B.78
C.81
D.97
Answer: C.81
Explanation: The pattern is + 5, + 10, + 15, + 20,...
Answer : C.
Question: In a survey of 335 employees, 104 of them are uninsured, 54 work part time, and 12.5 percent of employees who are uninsured work part time. If a person is to be randomly selected from those surveyed, what is the probability that the person will neither work part time nor be uninsured?
A.38/67
B.8/41
C.9/348
D.1/8
Answer: A.38/67
Explanation: ---------UI----------------NUI-------Total
PT----(12.5/100)*104 = 13----------- --54
NPT---104-13-------------- x--------281
Total--104----------------------------335
we have to find not part time and not uninsured . in other words not part time and insured = x/335 = (281-104+13)/335
= 38/67
Answer is A.
Question: What is the next number in the sequence : 12,15,21,24,30,33,39,51 __?
A.59
B.53
C.57
D.52
Answer: C.57
Explanation: next no. = previous + (sum of digits)
12 + (1+2) = 15
15 + (1+5) = 21
21 + (2+1) = 24
24 + (2+4) = 30
30 + (3+0) = 33
33 + (3+3) = 39
39 +(3+9) = 51
51 + (5+1) = 57
ANSWER:C
Question: To get the more profit, which is the best transaction?
A.C.P. = Rs. 18, profit = Rs. 9
B.C.P. = Rs. 25, profit = Rs. 12
C.C.P.= Rs. 20, profit = Rs. 8
D.C.P.= Rs. 30, profit = Rs. 18
Answer: D.C.P.= Rs. 30, profit = Rs. 18
Explanation: Explanation :
Solution: (A) Profit% = (9*100/18) =50%.
(B) profit% = (12*100/25) = 48%.
(C)profit% = (8*100/20) = 40%.
(D) profit% = (18*100/30) = 60%.
From the above results clearly, (D) is the best transaction.
Answer : D
Question: In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:
A.2700
B.2900
C.3000
D.3100
Answer: A.2700
Explanation: Number of valid votes = 80% of 7500 = 6000.
Valid votes polled by other candidate = 45% of 6000
= 45 divided by 100x6000 =2700
Answer: Option A
Question: Suppose that we have the following set of equations
log2 x + log3 x + log4 x = 20
log4 y + log9 y + log16 y = 16
Compute logx y.
A.0.5
B.1.3
C.1.6
D.2.5
Answer: C.1.6
Explanation: We rewrite the rst equation as
20 = log2 x + log3 x + log4 x
20 =
log x
log 2
+
log x
log 3
+
log x
log 4
20 = log x (log2 10 + log3 10 + log4 10)
Similarly, we obtain that
16 = log y (log4 10 + log9 10 + log16 10)
16 = log y (log2
p
10 + log3
p
10 + log4
p
10)
16 =
1
2
log y (log2 10 + log3 10 + log4 10)
32 = log y (log2 10 + log3 10 + log4 10)
Dividing both equations by each other, we obtain
32
20
=
log y
log x
log2 10 + log3 10 + log4 10
log2 10 + log3 10 + log4 10
8/5
= logx y=1.6
correct answer C
Question: How much time does a train 160 metres long running at 72 km/hr take to pass a pole?
A.8s
B.2.5s
C.7.5s
D.7.6s
Answer: A.8s
Explanation: Explanation:
72 km/hr = 72 * 5/18 = 20 m/s
Speed = distance/time; v = d/t
20 = 160/t
t = 8s
ANSWER: A
Question: 4 dice are thrown simultaneously on the board. Find the probability show the same face.
A.1/113
B.1/117
C.1/216
D.2/113
Answer: C.1/216
Explanation: The total number of elementary events associated to the random experiments of throwing four dice simultaneously is:
=6×6×6×6=64=6×6×6×6=64
n(S)=64n(S)=64
Let XX be the event that all dice show the same face.
X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}
n(X)=6n(X)=6
Hence required probability,
=n(X)n(S)=664=n(X)n(S)=664
=1/216
C
Question: To be eligible for retirement benefits at the Sieman Corporation, the sum of an employee's age, in years, and the number of years employment must be at least 66. If x, where x <66, is a certain employee's age when hired and y is the minimum number of years of employment required for the employee to be eligible for retirement benefits, which of the following equations represents the relationship between x and y?
A.2x+2y=66
B.x+y=66
C.x+2y=66
D.2x+y=66
Answer: C.x+2y=66
Explanation: We are told that when a certain employee was hired he was x years old and that the he needed minimum y years to be eligible for benefits.
Now,after y years of employment, when the employee will be be eligible for benefits, the employee will be x+y years old and will have y years of employment, thus{age after y years}+{employment years}=(x+y)+y=x+2y=66.
Answer: C
Question: A girl sold a book at a profit of 7%. Did she sold it for Rs.7.50 more, 22% would have been gained. Find the CP?
A.30%
B.40%
C.50%
D.55%
Answer: C.50%
Explanation: 50%
C
Question: The ratio of the ages of a man and his wife is 4:3. After 4 years,the ratio will be 9:7.If at the time of marriage the ratio was 5:3,then how many years ago were they married ?
A.8
B.10
C.12
D.14
Answer: C.12
Explanation: let the present ages of the man and his wife be 4x and 3x
then (4x+4)/(3x+4)= 9/7
[since given that after four years their ages will be 9/7]
by solving it we have x=8
so their present ages are 32 and 24 respectively
now suppose if they were married X years ago,
then (32-X)/(24-X)=5/3
by solving it we have 2X=24
so X=12
so they were married 12 years ago
ANSWER:C
Question: The center of a circle lies on the origin of the coordinate plane. If a point (x, y) is randomly selected inside of the circle, what is the probability that x > y?
A.1/8
B.1/6
C.3/8
D.1/2
Answer: D.1/2
Explanation: The line y=x divides the circle into two equal areas.
All the points below the line y=x satisfy the condition that x > y.
The answer is D.
Question: The least number which when increased by 8 each divisible by each one of 24, 32, 36 and 54 is :
A.427
B.859
C.869
D.856
Answer: D.856
Explanation: Solution
Required number = (L.C.M. of 24, 32, 36, 54) - 8 = 864 - 8 = 856. Answer D
Question: The ratio of the ages of Anil and his son at present is 7 : 3. Six years hence, the ratio of the ages of the Anil's wife and the son will be 2 : 1. Find the ratio of the present ages of Anil and his wife?
A.6:9
B.6:5
C.6:8
D.6:2
Answer: D.6:2
Explanation: Let the present ages of Anil and his son be 7x and 3x years respectively.
Let the present age of the son's mother be m years.
(m + 6) / (3x + 6) = 2/1
m + 6 = 6x + 12 => m = 6x + 6
Ratio of the present ages of Anil and the son's mother = 7x / (6x + 6).
This cannot be found uniquely.
Answer:D
Question: What will be the remainder when (27^27) + 27 is divided by 28?
A.22
B.20
C.24
D.26
Answer: D.26
Explanation: x^n + 1 will be divisible by x+1 only when n is odd
27^27+1 will be divisible by 27+1
(27^27+1)+26, when divided by 28 will give 26 as remainder
Answer is D
Question: A certain industrial loom weaves 0.128 meters of cloth every second. Approximately how many seconds will it take for the loom to weave 25 meters of cloth?
A.205
B.200
C.180
D.195
Answer: D.195
Explanation: Explanation :
Let the required number of seconds be x
More cloth, More time, (direct proportion)
Hence we can write as
Cloth0.128:25}::1:x
⇒0.128x=25
⇒x = 25/128 = 25000/128 = 3125/16 ≈ 195. Answer : Option D
Question: Sakshi invests a part of Rs. 12,000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1320, how much does he invest in 12% stock at Rs. 120?
A.s. 4000
B.s. 4500
C.s. 5500
D.s. 6000
Answer: D.s. 6000
Explanation: Let investment in 12% stock be Rs. x.
Then, investment in 15% stock = Rs. (12000 - x).
12/120 * x + 15/125 * (12000- x) = 1320
x/10 + 3/25(12000-x) = 1320
5x + 72000 - 6x = 1320 x 50
x = 6000.
Answer = D
Question: Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
A.26 sec
B.28 sec
C.48 sec
D.72 sec
Answer: C.48 sec
Explanation: Relative speed = 45 + 30 = 75 km/hr.
75 * 5/18 = 125/6 m/sec.
Distance covered = 500 + 500 = 1000 m.
Required time = 1000 * 6/125 = 48 sec.
Answer:C
Question: A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
A.79.7 km/hr
B.89.2 km/hr
C.79.3 km/hr
D.79.2 km/hr
Answer: D.79.2 km/hr
Explanation: Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 8 => x = 8y
(x + 264)/20 = y
y = 22
Speed = 22 m/sec = 22 * 18/5 = 79.2 km/hr.
Answer: D
Question: A small table has a length of 12 inches and a breadth of b inches. Cubes are placed on the surface of the table so as to cover the entire surface. The maximum side of such cubes is found to be 4 inches. Also, a few such tables are arranged to form a square. The minimum length of side possible for such a square is 48 inches. Find b.
A.8
B.16
C.24
D.32
Answer: B.16
Explanation: From the info that the maximum sides of the cubes is 4, we know that the GCF of 12 (=2^2*3) and "b" is 4 (=2^2), so "b"=2^x, where x>=2.
From the second premise, we know that the LCM of 12 (2^2*3) and "b" is 48 (2^4*3), so "b"=2^4 or 2^4*3 (16 or 48).
Combining 2 premises shows the answer is B(16).
Question: Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 450 players took part in that tournament.
How many matches were played?
A.449 matches.
B.88 matches.
C.77 matches.
D.66 matches.
Answer: A.449 matches.
Explanation: Solution:
449 matches.
The number of matches will always sum up to one less than the number of players in a knock out tournament. You may calculate it in any manner. Thus 449 matches were played.
Answer A
Question: The average of 11 results is 51, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
A.A)46
B.B)45
C.C)66
D.D)76
Answer: B.B)45
Explanation: 1 to 11 = 11 * 51 = 561
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 – 561 = 45
Answer:B
Question: W is the set of all positive integers x such that x^2 is a multiple of both 27 and 375. Which of the following integers must be a divisor of every integer x in W?
I. 9
II. 15
III. 27
A.I only
B.II only
C.I and II only
D.I and III only
Answer: C.I and II only
Explanation: Ans: C
W->{x} where x^2 is a multiple of both 27 and 375 means 3^3 and (5^3)*3
means x must contain 3^2 and 5^2
so with these conditions we know that 9=3^2 and 15=3*5 both have required factors for the divisibility of lowest int for x which is 9*25
but 27 is not a divisor because it can't divide 9*25 fully.
so Ans : C
Question: Tom purchased 8kg of apples at the rate of 70 per kg and 910 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
A.A)1110
B.B)1045
C.C)1055
D.D)1060
Answer: A.A)1110
Explanation: Cost of 8 kg apples= 70 × 8 = 560.
Cost of 10 kg of mangoes = 55 × 10 = 550.
Total cost he has to pay = 560 + 550 = 1110.
A)
Question: A large box contains 17 small boxes and each small box contains 25 chocolate bars. How many chocolate bars are in the large box?
A.250
B.350
C.425
D.550
Answer: C.425
Explanation: The number of chocolate bars is equal to
17 * 25 = 425
correct answer C
Question: If you multiply all the numbers on your mobile phone except 0 and 9, what is the answer?
A.25869
B.48586
C.40320
D.58964
Answer: C.40320
Explanation: We have to multiply 1 to 8 to find the answer.
Therefore 1*2*3*4*5*6*7*8=40320
Answer is C
Question: Jamboree and GMAT Club Contest Starts
QUESTION #40:
How many words (with or without meaning) can be formed using all the letters of the word “SELFIE” so that the two E’s are not together?
A. 660
B. 600
C. 500
D. 300
Answer: A. 660
Explanation: The question is asking the total number of arrangements possible with the letters of the word “SELFIE” where two E’s are not together.
Arrangements when two E’s are not together = Total arrangements - Arrangements when two E’s are together
In total there are 6 letters but two are identical. so we can arrange in 6! ways. but we divide for those objects that are identical. so divide by 2!. Hence,
Total arrangements = 6!/2!
Now two E's are coupled together. Consider this couple (EE) as one letter. apart from this there are 4 more letters. so we can arrange these 5 different objects in 5! ways.
Two E's can arrange themselves in 2! ways, but we divide for those objects that are identical. so divide by 2!. so arrangement for E's would be 2!/2!.
Hence, Arrangements when two E’s are together = 5! * (2!/2!)
Arrangements when two E’s are not together = 6!/2! - 5! = 5! * ( 6/2 -1 ) = 120 * 2 = 240.
Option A is correct!
Question: Five men and nine women can do a piece of work in 10 days. Six men and twelve women can do the same work in 8 days. In how many days can three men and three women do the work?
A.20 days
B.23 days
C.26 days
D.21 days
Answer: A.20 days
Explanation: A
20 days
(5m + 9w)10 = (6m + 12w)8
=> 50m + 90w = 48w + 96 w => 2m = 6w => 1m = 3w 5m + 9w = 5m + 3m = 8m
8 men can do the work in 10 days.
3m +3w = 3m + 1w = 4m
So, 4 men can do the work in (10 * 8)/4 = 20 days.
Question: In a series of six consecutive even numbers, the sum of the second and sixth numbers is 24. What is the fourth number?
A.8
B.12
C.6
D.14
Answer: B.12
Explanation: Let the numbers be x, x + 2, x + 4, x + 6, x + 8 and x + 10.
Given (x + 2) + (x + 10) = 24
=> 2x + 12 = 24 => x = 6
The fourth number = x + 6 = 6 + 6 = 12.
ANSWER:B
Question: The total marks obtained by a student in Mathematics and Physics is 50 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together.
A.40
B.26
C.27
D.35
Answer: D.35
Explanation: Let the marks obtained by the student in Mathematics, Physics and Chemistry be M, P and C respectively.
Given , M + C = 50 and C - P = 20 M + C / 2 = [(M + P) + (C - P)] / 2 = (50 + 20) / 2 = 35.Answer:D
Question: Solution X is 30% chemical A and 70% chemical B by volume. Solution Y is 40% chemical A and 60% chemical B by volume. If a mixture of X and Y is 32% chemical A, what percent of the mixture is Solution X?
A.85%
B.80%
C.75%
D.70%
Answer: B.80%
Explanation: The volume of the mixture be X+Y.
0.3X +0.4Y=0.32(X+Y)
X=4Y
X/(X+Y)=4/5=80%.
The answer is B.
Question: In an examination, a student scores 5 marks for every correct answer and loses 2 marks for every wrong answer. If he attempts all 100 questions and secures 290 marks, the number of questions he attempts correctly, is:
A.60
B.80
C.70
D.45
Answer: C.70
Explanation: Let the number of correct answers be x.
Number of incorrect answers = (100 â€“ x).
5x â€“ 2(100 â€“ x) = 290 or 7x = 490 or x = 70.
ANSWER:C
Question: Suppose you flip a fair coin four times. What is the probability that, in four flips, you get at least one head?
A.13/16
B.7/16
C.15/16
D.21/16
Answer: C.15/16
Explanation: Best way of solving an at least 1 type of question is to compute 1 - probability of flipping 0 heads
probability of flipping either a head or a tail = 1/2
probability of flipping 3 tails in a row (1/2)^4
probability of flipping at least 1 head = 1 - (1/2)^4 = 15/16
Answer : C
Question: A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?
A.22.7 kmph
B.12.7 kmph
C.27.6 kmph
D.12.5 kmph
Answer: D.12.5 kmph
Explanation: Let the speed of the man in still water be a kmph and let the speed of the stream be b kmph.
Now 30/(a + b) + 20/(a - b) = 4 and 45/(a + b) + 40/(a - b) = 7
Solving the equation, the speed of man in still water is 12.5 kmph.Answer: D
Question: Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
A.3377
B.1800
C.2776
D.1881
Answer: B.1800
Explanation: Let the required number of bottles be x.
More machines, More bottles (Direct Proportion)
More minutes, More bottles (Direct Proportion)
Machines	6	:	10 :: 270 : x
Time (in minutes)	1	:	4
6 x 1 x x = 10 x 4 x 270
x =	(10 x 4 x 270)
(6)
x = 1800.
View Answer
Answer: B
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
A.20%
B.29%
C.70%
D.27%
Answer: A.20%
Explanation: SP2 = 2/3 SP1
CP = 100
SP2 = 80
2/3 SP1 = 80
SP1 = 120
100 --- 20 => 20%
Answer: A
Question: For each of her sales, a saleswoman receives a commission equal to 20 percent of the first $500 of the total amount of the sale, plus 30 percent of the total amount in excess of $500. If the total amount of one of her sales was $800, the saleswoman’s commission was approximately what percent of the total amount of the sale?
A.22%
B.24percent
C.25%
D.28%
Answer: B.24percent
Explanation: Total sales =800
Commission = (20/100)*500+ (30/100)*300
=100 + 90
=190
%Commission = (190/800)*100=23.7~ 24%
Answer is B
Question: What is the small positive two digit no. divisible by 3 and such that the sum of its digits is 9?
A.10
B.12
C.14
D.18
Answer: D.18
Explanation: Let xy be the whole number with x and y the two digits that make up the number. The number is divisible by 3 may be written as follows
10 x + y = 3 k
The sum of x and y is equal to 9.
x + y = 9
Solve the above equation for y
y = 9 - x Substitute y = 9 - x in the equation 10 x + y = 3 k to obtain.
10 x + 9 - x = 3 k
Solve for x
x = (k - 3) / 3
x is a positive integer smaller than 10
Let k = 1, 2, 3, ... and select the first value that gives x as an integer. k = 6 gives x = 1
Find y using the equation y = 9 - x = 8
The number we are looking for is 18 and the answer is D. It is divisible by 3 and the sum of its digits is equal to 9 and it is the smallest and positive whole number with such properties.
Question: A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 5% on conveyance. If his savings at the end of the month is Rs. 1500, then his salary per month in rupees is:
A.4000
B.6000
C.8000
D.10000
Answer: D.10000
Explanation: Total expenditure = 40 + 25 + 15 + 5 = 85%
Saving = (100 - 85) = 15%
15/100 × Salary = 1500, Salary = 10000 Rs.
Answer:D
Question: Company C produces toy trucks at a cost of $5.00 each for the first 100 trucks and $3.50 for each additional truck. If 500 toy trucks were produced by Company C and sold for $20.00 each, what was Company C’s gross profit?
A. $7,250
B. $8,500
C. $8,100
D. $8,250
Answer: C. $8,100
Explanation: Cost of 500 trucks: (100 * 5 ) + (400 * 3.5) = 500 + 1400 =$ 1900
Revenue : 500 * 20 = $10000
Profit: 10000 - 1900 = $ 8100
Option C is correct
Question: By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
A.38008
B.38000
C.38005
D.38001
Answer: B.38000
Explanation: CP + CP/8 = 45000
CP = 40000
SP = 40000*(95/100) = 38000
Answer: B
Question: Some pens are divided among A, B, C and D. A gets twice the number of pens that B gets. C gets the same number of pens as D gets. If A gets 25 pens more than D and the ratio of the number of pens that B and C get is 2 : 3, then find the number of pens that D gets ?
A.56 pens
B.76 pens
C.75 pens
D.98 pens
Answer: C.75 pens
Explanation: Let the number of pens that A, B, C and D get be a, b, c and d respectively.
a : b = 2 : 1
a = c + 25
b : c = 2 : 3
a : b : c : d = 4 : 2 : 3 : 3
a,d get 4p, 3p pens
=> 4p - 3p = 25 (given)
p = 25
=> D gets 3p = 3 * 25 = 75 pens.
Answer:C
Question: A certain industrial loom weaves 0.129 meters of cloth every second. Approximately how many seconds will it take for the loom to weave 15 meters of cloth?
A.114
B.115
C.116
D.117
Answer: C.116
Explanation: Let the required number of seconds be x
More cloth, More time, (direct proportion)
Hence we can write as
(cloth) 0.129 : 15 :: 1 : x
=>0.129*x=15
=>x=15/0.129
=>x=116
ANSWER:C
Question: In a sports club with 30 members, 18 play badminton and 19 play tennis and 2 do not play either. How many members play both badminton and tennis?
A.7
B.8
C.9
D.10
Answer: C.9
Explanation: Let x play both badminton and tennis so 18-x play only badminton and 19-x play only tennis. 2 play none and there are total 30 students. hence,
(18-x)+(19-x)+x+2=30
39-2x+x=30
39-x=30
x=9
So 9 members play both badminton and tennis.
C
Question: Two pipes function simultaneously the reservoir will be filled in 12 hours. One pipe fills reservoir 10 hours faster than the other. How many hours does the faster pipe take to fill the reservoir?
A.12
B.99
C.20
D.88
Answer: C.20
Explanation: 1/x + 1/(x + 10) = 1/12
x = 20
Answer: C