RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A 420 meter long train crosses a platform in 60 seconds while it crosses a signal pole in 30 seconds. What is the length of the platform?
A.120
B.840
C.350
D.420
Answer: D.420
Explanation: Speed = [420 / 30] m/sec =14 m/sec.
Let the length of the platform be x meters.
Then, x + 420/ 60 = 14
x + 420 = 840 è x = 420m. Answer: D
Question: The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
A.18 2/81%
B.18 2/11%
C.18 3/11%
D.18 1/11%
Answer: B.18 2/11%
Explanation: 13 CP = 11 SP
11 --- 2 CP
100 --- ? =>18 2/11%
Answer: B
Question: "I am five times as old as you were, when I was as old as you are", said a man to his son. Find out their present ages, if the sum of their ages is 64 years.
A.47 years and 28 years.
B.40 years and 24 years.
C.48 years and 27 years.
D.46 years and 26 years.
Answer: B.40 years and 24 years.
Explanation: Let the present age of the man be ’a’ and son be ’b’,
Given, a + b = 64 or b = (64 - a)
Now the man says "I am five times as old as you were, when I was as old as you are",
So, a = 5[b - (a - b)]
We get 6a = 10b,
Substitute value for b,
6a = 10(64 - a),
Therefore a = 40, b = 24.
ANSWER:B
Question: If 12% of x is equal to 6% of y, then 18% of x will be equal to how much % of y ?
A.7%
B.9%
C.11%
D.12%
Answer: B.9%
Explanation: We have ,
12% of X = 6% of Y
=> 2% of X = 1% of Y
=>(2 x 9)% of X = ( 1 x 9)% of Y
Thus, 18% of X = 9% of Y.
ANSWER:B
Question: Train G and H, 455 miles apart, are traveling toward each other at constant rates and in the same time zone. If train G left at 4 pm traveling at a speed of 60 miles per hour, and train H left at 5:45 pm and traveling at 45 miles per hour, then at what time would they pass each other?
A.9.05Am
B.9.11pm
C.8.05pm
D.7.05pm
Answer: D.7.05pm
Explanation: First, since G has a headstart then in that 1hr45min or 1.75hrs he travels 105 miles
Then remaining distance to be traveled will be 455 - 105 = 350 miles
Now, using relative rates (105)(t) = 350
This gives 10/3 hours
Now 5.45pm + 10/3 hours gives us 9.05pm
Hence answer is D
Question: a milkman makes a profit of 20% on the sale of milk. If he were to add 10% water to the milk, by what % would his profit increase?
A.50 %
B.60 %
C.70 %
D.80 %
Answer: B.60 %
Explanation: let he sells 100 lit of milk @ 120 rs. means his cost price must b 100 to gain 20% profit.
Nw he adds 10% milk ie total milk z 110 lit.
Now he will get 132 rs. by selling 110 lit f milk (120*110/100)
total profit = 32 rs
increased profit =12 rs
%age increase= 12/20= 60 %
ANSWER:B
Question: If n is a positive integer and the greatest common divisor of n and 16 is 4, and the greatest common divisor of n and 15 is 3, which of the following is the greatest common divisor of n and 48?
A.12
B.18
C.24
D.30
Answer: A.12
Explanation: The greatest common divisor of n and 16 is 4 --> n is a multiple of 4 but not a multiple of 8.
The greatest common divisor of n and 15 is 3 --> n is a multiple of 3 but not a multiple of 5.
48=2*3*8 is divisible by 12. therefore the greatest common divisor is 12
A
Question: Out of three numbers, the first is twice the second and is half of the third. If the average of the three numbers is 70, the three numbers in order are?
A.60, 120, and 30
B.60, 30, and 120
C.30, 60, and 120
D.30, 120, and 60
Answer: B.60, 30, and 120
Explanation: Let the numbers be 2x, x and 4x
(2x + x + 4x)/3 = 70
7x/3 = 70
x = 30
The numbers in order are 60, 30, and 120
The answer is B.
Question: Three machines operating independently, simultaneously, and at the same constant rate can fill a certain production order in 40 hours. If one additional machine were used under the same operating conditions, in how manyfewerhours of simultaneous operation could the production order be fulfilled?
A.6
B.9
C.10
D.27
Answer: C.10
Explanation: If 3 Machines can do the work in 40 hr then 4 Machines can do the work in 3/4*40 = 30 Hrs. hence time saved will be 10hr
option C is the correct answer
Question: A and B complete a work in 16 days. A alone can do it in 40 days. If both together can do the work in how many days?
A.1.0875 days
B.0.1875 days
C.0.0675 days
D.0.0875 days
Answer: D.0.0875 days
Explanation: 1/16 + 1/40 = 0.0875 days
ANSWER:D
Question: In how many ways can the letters of the word 'LEADER' be arranged?
A.72
B.144
C.360
D.720
Answer: C.360
Explanation: Explanation:
The word 'LEADER' contains 6 letters, namely 1L, 2E, 1A, 1D and 1R.
Required number of ways =	6! / (1!)(2!)(1!)(1!)(1!) =360.
ANSWER IS C
Question: A researcher computed the mean, the median, and the standard deviation for a set of performance scores. If25 were to be added to each score, which of these three statistics would change?
A.The mean only
B.The mean and the median
C.The standard deviation only
D.The median only
Answer: B.The mean and the median
Explanation: The correct answer is B.
Question: A farm has chickens, cows and sheep. There are five times the number of chickens and cows than sheep. If there are more cows than chickens or sheep, and together, cows and chickens have a total of 100 feet and heads, how many sheep live at the farm?
A.5
B.8
C.10
D.4
Answer: D.4
Explanation: Chicken - ch
Cows - C
Sheep -S
ch+C=6S
C> ch and c>s
Each cow has 4 legs and 1 head
Each chicken has 2 legs and 1 head
So 5c+3ch=100 (sum of legs and head)
There are 2 possible solutions to this equation
c=11 and ch=9 or
c=14 and ch=10
Since from first equation where ch+c=5s
The sum of ch and c should be divisbile by 5. 24 is not so the only possible solution is c=11 and ch=9. So s=4
Answer : D
Question: If m is an integer, what is the greatest possible value for m that would still make the following statement true: 11*10^m < 1/10 ?
A. –4
B. –3
C. –2
D. –1
Answer: B. –3
Explanation: Just putting values, the LHS becomes
m =0 --> 11
m =-1 --> 11/10
m =-2 --> 11/100
m =-3 --> 11/1000
Anything lower will be smaller than 11/1000. m =-2, equality doesn't hold but it does for m =-3.
Answer is B.
Question: Two men A and B start from place X walking at 4 1/2 kmph and 5 1/2 kmph respectively. How many km apart they are at the end of 3 1/2 hours if they are walking in the same direction?
A.4 3/9
B.4 3/5
C.4 3/8
D.4 3/2
Answer: C.4 3/8
Explanation: RS = 5 3/2 - 4 1/2 = 1 1/4
T = 3 1/2 h.
D = 5/4 * 7/2 = 35/8 = 4 3/8 km
Answer: C
Question: A shopkeeper mixed 7kg of salt worth Rs.6 per kg, 5kg of salt worth Rs.4 per kg and 6 kg of salt worth Rs.5 per kg. For what amount of money should he sell 4 kg of the mixed variety of salt in order to make a profit of 12½%?
A.22.95
B.23.95
C.24.95
D.25.95
Answer: A.22.95
Explanation: 7kg*Rs6---- Rs 42
5 kg*Rs4---- Rs 20
6kg*Rs5---- Rs 30
18kg for Rs--92 cost price of 1 kg=92/18=>Rs5.11111
cost of 4 kg ---- 4*5.11111=Rs 20.4444
Profit=12.5%
SP={(100+Gain%)/100}*CP
={(100+25/2)/100}*20.444
=22.95
ANSWER:A
Question: If 28a+30b+31c=427.
then a+b+c=?.a,b,c are natural numbers
A.6
B.14
C.12
D.45
Answer: B.14
Explanation: have a look on your calender
since,we all knw a year consist of 365 days
february is d only month which has 28 days
4 months in a year has 30 days
and,rest 7 months has 31 days..
so,following d given eq. we can write 28*1 + 30*4 + 31*9..
hence values of a,b and c are 1, 4 and 9 respectively..
a+b+c=14
ANSWER:B
Question: Find the odd one out:
125, 106, 83, 76, 65, 58, 53
A.33
B.83
C.26
D.18
Answer: B.83
Explanation: Explanation:
This sequence represents a series in which from the reverse order a prime number is added:
53+5=58
58+7=65
65+11=76
76+13=89
89+17=106
106+19=125
Hence 83 is the answer.
ANSWER: B
Question: P can complete a piece of work in 18 days & B can do the same piece of work in 15 days. They started working together but after 3 days P left & Q alone completed the remaining work. The whole work was completed in how many days?
A.12 days
B.12.5 days
C.13 days
D.14.5 days
Answer: B.12.5 days
Explanation: Both together worked for 3 days.
In 3 days , P can do = 3 x
1
18
=
1
6
th work
In 3 days, Q can do = 3 x
1
15
=
1
5
th work
In 3 days , work finished =
1
6
+
1
5
=
11
30
Balance work =
19
30
Balance work finished by Q => Time taken by Q to finish the balance work =
19
30
x 15 = 9.5 days
The whole work was completed in 9.5 + 3 = 12.5 days
B
Question: If 4^x = 8^y, then the value of (x/y)-1 is equal to :
A.1/2
B.0
C.1/4
D.3/4
Answer: A.1/2
Explanation: 4^x = 8^y,
2^2x= 2^3y
so
2x=3y
x/y = 3/2
(x/y)-1 = (3/2)-1= 1/2
ANSWER:A
Question: complete the numerical series with the correct number
5+3+2=151022
9+2+4=183652
8+6+3=482466
5+4+5=202541
9+5+5= ?
A.468645
B.454586
C.454585
D.454386
Answer: C.454585
Explanation: Correct Answer : C
number is formed as
5+3+2
5*3 3*2 2*5 = 151022
similarly,
9*5 9*5 (9*5+9*5-5)= 454585
Question: A man can do a job in 15 days. His father takes 20 days and his son finishes it in 25 days. How long will they take to complete the job if they all work together?
A.6.4 days
B.4.4 days
C.5.4 days
D.8.4 days
Answer: A.6.4 days
Explanation: A
6.4 days
1 day work of the three persons = (1/15 + 1/20 + 1/25) = 47/300
So, all three together will complete the work in 300/47 = 6.4 days.-
Question: The edges of three iron cubes are 6cm; 8cm; 10cm respectively. A new cube was made by melting them. Find the edge of the new cube?
A.17
B.19
C.16
D.12
Answer: D.12
Explanation: 63 + 83 + 103
= a3 => a
= 12
Answer:D
Question: The average age of a husband and his wife was 26 years at the time of their marriage. After five years they have a one-year old child. The average age of the family now is :
A.11
B.18
C.21
D.287
Answer: C.21
Explanation: Explanation:
Sum of the present ages of husband, wife and child = (26 * 2 + 5 * 2) + 1 = 63 years.
Required average = (63/3) = 21 years.
Answer: C) 21
Question: A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 33. Find the profit percentage?
A.65%
B.50%
C.59%
D.40%
Answer: A.65%
Explanation: L.C.M of 15 and 12
= 60
CP of 60 articles
= Rs. 100 (25 * 4)
SP of 60 articles
= Rs. 165 (33 * 5)
Profit percentage
= (165 - 100)/100 * 100 = 65%
Answer: A
Question: A soccer team played 158 games and won 40 percent of them. How many games did it win?
A.84
B.63.2
C.104
D.50.8
Answer: B.63.2
Explanation: 40% of 158=x
0.40*158= x
63.2=x
answer :B
Question: Given a bag with 2 red balls and 3 yellow balls, you randomly select one of them, in order. If the second ball you take is yellow, what is the probability that the first one was also yellow?
A.1/2
B.1/5
C.3/4
D.1/3
Answer: A.1/2
Explanation: This is a conditional probability question. Basically we are told that out of 2 balls picked one is yellow and are asked to find the probability of the other one also to be yellow.
So, possible options for this other ball would be: W, W, B, B (as one yellow is already picked)
So the probability for that ball to be yellow too is 2/4=1/2.
Option A
Question: If the difference between the length and breadth of a rectangle is 23 m and its perimeter is 186 m, what is its area?
A.2510
B.2535
C.2530
D.2030
Answer: D.2030
Explanation: length = breadth +23. Therefore,
4× breadth +2×23=186 m
⇒ breadth =35 m
length =35+23=58 m
Area =58×35=2030 m2
Answer is D.
Question: Out of seven given numbers, the average of the first four numbers is 4 and that of the last four numbers is also 4. If the average of all the seven numbers is 3, fourth number is
A.3
B.4
C.7
D.11
Answer: D.11
Explanation: (a+b+c+d)/4=4
=>(a+b+c+d)=16...........(1)
(d+e+f+g)/4=4
=>(d+e+f+g)=16
=>(e+f+g)=16-d...........(2)
Also, (a+b+c+d+e+f+g)/7=3 (Given)
using (1) and (2) equations
16+16-d=21
=> d=11
ANSWER:D
Question: Tough and Tricky questions: Percents.
Over the course of a year, a certain microbrewery increased its beer output by 80 percent. At the same time, it decreased its total working hours by 10 percent. By what percent did this factory increase its output per hour?
A.100
B.200
C.300
D.400
Answer: B.200
Explanation: Lets assume the initial production was 100 litres of beer for 100 hr.
With the 80% increase the total amount of beer production will be 180 litres and with 10 % decrease in total hours will be reduced to 90 hr.
100hr ----> 100 lts
1hr -----> 1 lts
90hr -----> 180 lts
1hr -----> 2 lts
Total Increase in production for 1 hr = 200%
Answer B
Question: Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has 12 different shirts, 10 different pairs of jeans, and 7 pairs of sneakers. If an outfit consists of 1 shirt, 1 pair of jeans, and 1 pair of sneakers, how many different outfits does Jordan have?
A.30
B.840
C.240
D.480
Answer: B.840
Explanation: Total # of outfits = 12 * 10 * 7 = 840
Answer - B
Question: There are 36 students in a certain geometry class. If one third of the students are boys and one fourth of the boys are under six feet tall, how many boys in the class are under six feet tall?
A.3
B.12
C.18
D.24
Answer: A.3
Explanation: Total Students = 36
One third of the students are boys = 1/3*36 = 12
One fourth of the boys are under six feet tall = 1/4*12 = 3 ...
Therefore Number of boys in the class under six feet tall = 3 ... Answer A....
Alternatively... Number of boys in the class under six feet tall = 1/4 of 1/3 of Total Students = 1/4*1/3*36 = 3...
Answer A
Question: Five marbles are randomly selected, one at a time (without return), from a bowl of 100 marbles (20 green, 30 blue, 10 yellow, and 40 black). What is the probability that all five marbles are black? (Answer in lowest terms).
A.201/125
B.9139/1045660
C.11350/146790
D.21/75
Answer: B.9139/1045660
Explanation: Let K = black. The bowl has 40 black marbles (we don't care what color the other marbles are because success is black only), so the probability of getting black is P(K) = 40/100 on the first selected marble.
Because selection is (without return), the P(K) has changed for following selections. Now, there are 99 marbles and black is dependent upon whether first marble was black, or not... and so on.... Therefore, conditional probability! The probability that event B occurs, given that event A has already occurred is:
Formula = P(A\B) = P(A and B)/P(B).
P(A\B) = (40/100)(39/99)(38/98)(37/97)(36/96) = 78960960/9034502400 = 9139/1045660
Answer: B
Question: If the largest three digit number is subtracted from the smallest five digit number, then the remainder is
A.1
B.9000
C.9001
D.90001
Answer: C.9001
Explanation: Solution
Required remainder	= (10000 - 999)
=9001
Answer C
Question: Look at this series: 15, __, 27, 27, 39, 39, ... What number should fill the blank?
A.51
B.39
C.23
D.15
Answer: D.15
Explanation: Explanation: In this simple addition with repetition series, each number in the series repeats itself, and then increases by 12 to arrive at the next number.
Answer: Option D
Question: What is the present worth of Rs. 132 due in 2 years at 5% simple interest per annum
A.110
B.120
C.130
D.140
Answer: B.120
Explanation: Explanation:
Let the present worth be Rs.x
Then,S.I.= Rs.(132 - x)
=� (x*5*2/100) = 132 - x
=� 10x = 13200 - 100x
=� 110x = 13200
x= 120
Answer: B
Question: With what number must 0.580 be multiplied in order to obtain the number 580?
A.100
B.1,000
C.10,000
D.100,000
Answer: B.1,000
Explanation: Explanation: The decimal must be moved three places to the right. To do this, we must multiply by a number with three zeroes. The correct answer is 1000.The decimal must be moved three places to the right. To do this, we must multiply by a number with three zeroes. The correct answer is 1000.
Answer : (B)
Question: For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum of all the integers between 100 and 200?
A.4545
B.5050
C.6525
D.4352
Answer: B.5050
Explanation: sum = 100*101/2 = 50*101 = 5050
Answer is B
Question: In the reading room of a library, there are 25 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not have even a single reader?
A.17
B.16
C.15
D.14
Answer: A.17
Explanation: 1+2+3+4+5+6+7+8 = 36
so, 8 spots are occupied by users
25-8 = 17,
ANSWER:A
Question: Whats the next number in this number series ?
18, 46, 94, 63, 52, ?
A.23
B.12
C.34
D.61
Answer: D.61
Explanation: D
61
Reversed digits of squares of number in descending order.
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
A.9
B.10
C.12
D.20
Answer: B.10
Explanation: Due to stoppages, it covers 9 km less.
Time taken to cover 9 km = (9/54 x 60) min = 10 min.
Answer:B
Question: How many different possible permutations can be made from the word ‘VULLAT’ such thatthe vowels are never together?
A.120
B.200
C.240
D.260
Answer: C.240
Explanation: The word ‘BULLAT’ contains 6 letters of which 1 letter occurs twice = 6! / 2! = 360
No. of permutations possible with vowels always together = 5! * 2! / 2! = 120
No. of permutations possible with vowels never together = 360-120 = 240.
C
Question: Consider a set S given as {11,22,33,44,55,66,77,88,99} . If each element of the data set is multiplied by -6 then by what factors will the Mean,Variance and Standard Deviation respectively change ?
A.-6,-6,-6
B.-6,6,6
C.1,1,1
D.-6,36,6
Answer: D.-6,36,6
Explanation: Mean: If all values are multiplied by -6 then their sum will also be multiplied by -6 so Mean will also get -6
Variance:
Variance is equal to (Sum of (Square of (the difference between mean and individual values))/Total number of values
When we multiply all the values by -6 then the difference between the mean and the individual values also gets multiplied by -6 and the square of that difference becomes 36. So, the variance gets multiplied by a factor of 36
SD:
Standard Deviation is the square root of variance so sqrt(36)=6. So SD gets multiplied by a factor of 6.
So, answer will be D.
Question: A committee has 4 men and 6 women. What are the number of ways of selecting 2 men and 4 women from the given committee?
A.75
B.90
C.105
D.120
Answer: B.90
Explanation: The number of ways to select two men and four women = 4C2 * 6C4 = 6 * 15 = 90
The answer is B.
Question: Two men are walking towards each other alongside a railway track. A freight train overtakes one of them in 20 seconds and exactly 10 minutes later meets the other man coming from the opposite direction. The train passes this man is 18 seconds. Assume the velocities are constant throughout. How long after the train has passed the second man will the two men meet?
A.89.7 minutes
B.90 minutes
C.90.3 seconds
D.91 seconds
Answer: B.90 minutes
Explanation: Explanation :
Let ‘L’ be the length of train, ‘x’ be the speed of the first man, ‘y’ be the speed of the second man and ‘z’ be the speed of the train.
=>20=1/(z−x) and
=>18=1/(z+x)
=>z=10x+9y.
Distance between the two men =600(z+y).
Time = (600(z+y)-600(x+y))/(x+y).
=>600(9x+9y)/(x+y).
=> 90 minutes.
Answer : B
Question: A boat travels 32 km downstream in 8 hours and 24 km upstream in 12 hours. Find the speed of the boat in still water and the speed of the water current.
A.3 km/hr, 1 km/hr
B.5 km/hr, 4 km/hr
C.1 km/hr, 6 km/hr
D.2 km/hr, 1 km/hr
Answer: A.3 km/hr, 1 km/hr
Explanation: Downstream speed=32km/8hrs
=4kmph
upstream speed=24km/12hrs
=2kmph
speed of boat=avg of downstream and upstream speeds
speed of boat=(4+2)/2kmph
=3kmph.
current speed=half of the difference of downstream and upstream speeds
currend speed=(4-2)/2kmph
=1kmph
ans is 3km/hr,1km/hr
ANSWER:A
Question: Population of a colony of ants is increasing by 20% per day. If the population on Monday was 3000, on which day of that week the population would be 5184 ?
A.Wednesday
B.Thursday
C.Monday
D.sunday
Answer: B.Thursday
Explanation: Monday - 3000, Tuesday = 3000+(3000*.20)= 3600
wednesday = 3600+(3600*.20) = 4320
Thursday = 4320+(4320*.20) = 5184
ANSWER:B
Question: A bag contains 10 red and 6 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
A.4/7
B.2/3
C.5/8
D.1/4
Answer: C.5/8
Explanation: Total number of balls = 10+6 = 16
number of white balls = 10
Probability = 10/16 = 5/8
Answer is C
Question: A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits $ 1600 each in 1st month and 7th month of a year. At the end of the year, the amount he would have gained by way of interest is?
A.121
B.50
C.100
D.160
Answer: A.121
Explanation: Amount = (1600)* (1 + (5/2*100))^2
Amount = 1600 * (41/40) * (41/40) = 1681 ------(for investment in 1st month) Amount = 1600 * (41/40) = 1640 -----(for investment in 7th month) Total Amount = 1681 + 1640 = 3321 Interest = 3321-3200 = 121.............. Ans -A
Question: If q and r are both odd numbers B, which of the following must also be odd?
A.q – r
B.(q + r)^2
C.q(q + r)
D.(qr)^2
Answer: D.(qr)^2
Explanation: We're told that q and r are both ODD numbers B. We're asked which of the following must also be odd.
IF...
q = 1
r = 3
Answer A) q – r = 1-3 = -2 NOT odd
Answer B) (q + r)^2 = (1+3)^2 = 16 NOT odd
Answer C) q(q + r) = (1)(4) = 4 NOT odd
Answer D) (qr)^2 = (3)^2 = 9 This IS ODD
Answer E) q/r = 1/3 NOT odd
Final Answer:
D
Question: The words mentioned below have been arranged in a particular order.
SHOP, FEAR, BALL, DEAD
Can you find the logic behind the order?
A.58 > 30 > 27 > 14
B.58 > 30 > 27 > 15
C.58 > 30 > 27 > 16
D.58 > 30 > 27 > 17
Answer: A.58 > 30 > 27 > 14
Explanation: Solution:
Here, the alphabets can be re-written to their corresponding numbers:
A = 1, B = 2, C = 3... and so on
SHOP = 19 + 8 + 15 + 16 = 58
FEAR = 6 + 5 + 1 + 18 = 30
BALL = 2 + 1 + 12 + 12 = 27
DEAD = 4 + 5 + 1 + 4 = 14
Now, clearly 58 > 30 > 27 > 14
Thus, the order.
Answer A
Question: 2 no.'s, when divided by 17, leave remainders 13 and 11 respectively. If the sum of those 2 no.'s is divided by 17, the remainder will be
A.5
B.6
C.7
D.8
Answer: C.7
Explanation: (C)
Required remainder = remainder by (13 +11)/17 = 7
Question: If the price of a TV is first decreased by 20% and then increased by 55%, then the net change in the price will be :
A.4% increase
B.24% increase
C.10% decrease
D.6% increase
Answer: B.24% increase
Explanation: Explanation :
Solution: let the original price be Rs. 100.
New final price = 155% of(80% of 100) =Rs. 155/100 * 80/100 * 100 = Rs. 124.
.'. Increase = 24%
Answer : B
Question: Ben and Andrew are partners in a business. Ben is a working partner while Andrew is a sleeping partner. Ben gets 8% of the profit for managing the business, and the rest is divided in proportion to their capitals. If Ben invested 25000 and Andrew invested 38000, what is Ben's share in profit of 3500?
A.1557.8
B.1157.8
C.1540.8
D.3557.8
Answer: A.1557.8
Explanation: The amount Ben gets for managing
= 8% of Rs. 3500 = 280
Remaining profit = 3500 â€“ 280 = 3220
This is to be divided in the ratio 25000 : 38000=25: 38.
Share of Ben = 25/63 of 3220 = 1277.8
â‡’ Total share of Ben = 280 + 1277.8 = 1557.8.
Answer A
Question: The cost of 20 articles is equal to selling price of 10. Find the gain or loss percent?
A.50%
B.100%
C.25%
D.15%
Answer: B.100%
Explanation: C.P. of each article be $1
C.P. of 10 articles = 10
gain% = 10/10*100 = 100%
Answer is B
Question: The area of a triangle is with base 18m and height 6m?
A.88 m2
B.10 m2
C.66 m2
D.54 m2
Answer: D.54 m2
Explanation: 1/2 * 18 * 6 = 54 m2
Answer: D
Question: A person purchased a TV set for Rs. 2000 and a DVD player for Rs. 1000. He sold both the items together for Rs. 6000. What percentage of profit did he make?
A.80%
B.89%
C.100%
D.48%
Answer: C.100%
Explanation: The total CP = Rs. 2000 + Rs. 1000
= Rs. 3000 and SP = Rs. 6000
Profit(%) = (6000 - 3000)/3000 * 100
= 100%
Answer: C
Question: In a restaurant, the profit is 130% of the cost. If the cost increases by 12% but the selling price remains constant, approximately what percentage of the selling price is the profit?
A.30%
B.51%
C.90%
D.100%
Answer: B.51%
Explanation: Explanation :
Let C.P.= Rs. 100. Then, Profit = Rs. 130, S.P. = Rs. 230.
New C.P. = 112% of Rs. 100 = Rs. 112
New S.P. = Rs. 230.
Profit = Rs. (230 - 112) = Rs. 118.
Required percentage = (118 /230 *100) % = 51 % appox
Answer : B