RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A batsman in his 11th inning makes a score of 69 and their by increasing his average by 1. What is his average after the 11th inning?
A.58
B.59
C.68
D.69
Answer: B.59
Explanation: 10x + 69 = 11(x + 1)
x = 58 + 1 = 59
Answer:B
Question: A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
A.27
B.98
C.27
D.60
Answer: D.60
Explanation: CP = SP + 1CP = SP - g
800 + x = 980 - 2x
3x = 180 => x = 60
Answer:D
Question: In how many different number of ways 7 boys and 4 girls can sit on a shopa which can accommodate 3 persons?
A.800
B.900
C.200
D.990
Answer: D.990
Explanation: Option 'D'
11p3 = 11x10x9 = 990
Question: Sun Life Insurance company issues standard, preferred and ultra-preferred policies. Among the company's policy holders of a certain age, 50 are standard with the probability of 0.01 dying in the next year, 30 are preferred with a probability of 0.008 of dying in the next year and 20 are ultra-preferred with a probability of 0.007 of dying in the next year. If a policy holder of that age dies in the next year, what is the probability of the decreased being a preferred policy holder?
A.0.1591
B.0.2727
C.0.375
D.0.2767
Answer: B.0.2727
Explanation: Explanation :
The percentage of three different types of policy holders and the corresponding probability of dying in the next 1 year are as follow :
Type, Standard, Preferred, Ultra-Preferred
Percentage	, 50	, 30, 20
Probability, 0.01 , 0.008, 0.007
The expected number of deaths among all the policy holders of the given age [say P] during the next year.
=>T×(50×0.01/100)+(30×0.008/100)+(20×0.007/100).
=>T×(0.88/100).
Where T= Total number of policy holder of age P
If any of these policy holders (who die during the next year) is picked at random, the probability that he is a preferred policy holder is :-
=>((30x0.88xT)/100)/ (Tx(0.88/100)).
=>24/88.
=>3/11.
=>0.2727.
Answer : B
Question: A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
A.25 kmph
B.32 kmph
C.40 kmph
D.38 kmph
Answer: B.32 kmph
Explanation: S = (100 + 300)/45 = 400/45 * 18/5 = 32 kmph
answer :B
Question: Nine friends are planning to attend a concert. If another friend also goes with them, they will get a group discount on their tickets. If the new total price of the tickets with the group discount is the same as the original total price of the tickets without the group discount, how much is the discount?
A.5%
B.10%
C.20%
D.25%
Answer: B.10%
Explanation: Let x be the original price of one ticket.
The total original cost is 9x.
The new cost is 10y, where y is the discounted price of one ticket.
9x = 10y
y = 9x/10 = 0.9x which is a discount of 10%.
The answer is B.
Question: A certain sum of money is divided among A, B and C so that for each Rs. A has, B has 65 paisa and C 40 paisa. If C's share is Rs.40, find the sum of money?
A.228
B.267
C.911
D.205
Answer: D.205
Explanation: A:B:C = 100:65:40
= 20:13:8
8 ---- 40
41 ---- ? => Rs.205
Answer: D
Question: A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?
A.2.91 m
B.3 m
C.5.82 m
D.None of these
Answer: B.3 m
Explanation: Explanation:
Area of the park = (60 x 40) m2 = 2400 m2
Area of the lawn = 2109 m2
Area of the crossroads = (2400 - 2109) = 291
Let the width of the road be x metres. Then,
60x + 40x - x2 = 291
=> x2 - 100x + 291 = 0
=> (x - 97)(x - 3) = 0
=> x = 3
Answer: B
Question: 15.06 * 0.000001 = ?
A.15060000
B.0.001506
C.0.01506
D.1.506e-05
Answer: D.1.506e-05
Explanation: Explanation:
Clearly after decimal 8 digits should be there.
Option D
Question: How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
A.720
B.420
C.450
D.350
Answer: A.720
Explanation: Explanation:
The word 'LOGARITHMS' has 10 different letters.
Hence, the number of 3-letter words(with or without meaning) formed by using these letters =10X9X8
=720
ANSWER IS A
Question: A fish tank is half full of water. If 10 gallons of water were added, the tank would be 7/8 full. What is the capacity of the tank (in gallons)?
A.11 3/7
B.22 3/7
C.26 2/3
D.30 3/8
Answer: C.26 2/3
Explanation: Solution -
Let capacity of tank be X gallons.
Water level increased to 7/8 from 1/2 when 10 gallons of water added ---> (7/8 - 1/2)*X = 10
X = 80/3 = 26 2/3.
ANS C.
Question: The banker's discount on a bill due 4 months hence at 15% is Rs. 420. The true discount is:
A.400
B.360
C.480
D.320
Answer: A.400
Explanation: T.D.	=	B.D. x 100 / 100 + (R x T)
= Rs.(420 x 100	/ 100 + (15 x 1/3))
= Rs. (420 x 100 / 105)
= Rs. 400.
Correct Answer is A.
Question: A worker is paid a regular rate of Rs.20 for completing a survey. The worker completes 50 surveys per week. For any survey involving the use of her cellphone, she is paid at a rate of that is 10% higher than her regular rate. If she completed 35 surveys involving the use of her cellphone, how much did she get that week?
A.570
B.670
C.1070
D.470
Answer: C.1070
Explanation: amount earned by using her cell phone = 35 * 22 = 770
amount earned as usual = 15 * 20 = 300
Total = 770+300 = 1070
Answer : C
Question: Six students are equally divided into 3 groups, then, the three groups were assigned to three different topics. How many different arrangements Q are possible?
A. 30
B. 60
C. 90
D. 180
Answer: C. 90
Explanation: 90 is the number of ways you can assign 3 teams formed out of 12 people to 3 different tasks.
But now you can order the 3 tasks in 3! ways. T1 T2 T3 or T2 T1 T3.... etc etc.
I was confused between 90 and 540 but since question used the wordarrangementsdecided to go with complete arrangements Q including the order of tasks.
could you explain the highlighted step... i'm getting 90 = 15 * 3!
suppose the students are numbered 1,2,3,4,5,6 and tasks are X,Y and Z
one of the 15 possible ways of forming teams is 12, 34, 56. these teams can be assigned to 3 tasks in 3! = 6 ways
X--	Y--	Z
12--	34--	56
12--	56--	34
34--	12--	56
34--	56--	12
56--	12--	34
56--	34--	12
so the answer should be 15*6 = 90
But now you can fruther decide which task you want to perform first X Y or Z..=C
Question: A batsman in his 19th inning makes a score of 100 and their by increasing his average by 2. What is his average after the 19th inning?
A.58
B.60
C.62
D.64
Answer: D.64
Explanation: 18x + 100 = 19(x + 2)
x = 62 + 2 = 64
Answer:D
Question: A certain lab experiments with white and brown mice only. In one experiment, 2/3 of the mice are white. If there are 13 brown mice in the experiment, how many mice in total are in the experiment?
A.39
B.33
C.26
D.21
Answer: A.39
Explanation: Let total number of mice = M
Number of white mice = 2/3 M
Number of brown mice = 1/3 M = 13
=> M = 39
Answer A
Question: If u r genius solve it:-
40 * 14 = 11
30 * 13 = 12
20 * 12 = 6
10 * 11 = ?
A.1
B.2
C.3
D.4
Answer: B.2
Explanation: B
2
Logic :
40*14=560=5+6+0=11
30*13=390=3+9+0=12
20*12=240=2+4+0=6
So 10*11=110=1+1+0=2
Question: A team of eight 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.665
C.168
D.127
Answer: B.665
Explanation: Explanation:
8 * 84 = 672 â€“ 7 = 665
Answer:B
Question: How many integers are there between 55 and 108, inclusive?
A.51
B.54
C.56
D.57
Answer: B.54
Explanation: I guess the easiest way to answer this is -
Say you have two positive integers, x and y where y > x
Then the number of integers between x and y is given by - (y - x) + 1
In this case, it's (108 - 55) + 1 =54. Option B
Question: 3 of the 4 expressions (1), (2), (3) & (4) given below are exactly equal . Which of the expression is not equal to the other four expressions?
A.(A + B)2 - 4AB
B.(A – B)2 + 4AB
C.A2 + B2 - 4AB + 2AB
D.A2 – B2 + 2B(B – A)
Answer: B.(A – B)2 + 4AB
Explanation: 1) (A + B)2 – 4AB = A2 + 2AB + B2 - 4AB = A2 + B2 - 2AB
2) (A – B)2 + 4AB = A2 – 2AB + B2 + 4AB = A2+ B2 + 2AB
3) A2 +B2 – 4AB + 2AB = A2 + B2 - 2AB
4) A2 – B2 + 2B(B – A) = A2 – B2 + 2B2 – 2AB = A2 + B2 – 2AB
Therefore, (1) = (3) = (4) ≠ (2)
Therefore, expression (2) is wrong
ANSWER IS B
Question: P is three times as fast as Q and working together, they can complete a work in 36 days. In how many days can Q alone complete the work?
A.16
B.48
C.88
D.55
Answer: B.48
Explanation: P = 3Q
P + Q = 3Q + Q = 4Q
These 4Q people can do the work in 36 days, which means Q can do the work in 144 days.
Hence, P can do the work in 48 days.
Answer:B
Question: Difference between two numbers is 5, six times of the smaller lacks by 8 from the four times of the greater. Find the numbers?
A.5,1
B.7,3
C.9,8
D.11,6
Answer: D.11,6
Explanation: Explanation:
x – y = 5
4x – 6y = 8
x = 11 y = 6
D)
Question: A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
A.12
B.13
C.15
D.16
Answer: C.15
Explanation: 2 day work = 1/20*2=1/10
A+B+C 1 day work = 1/10
work done in 3 days = 1/5
1/5 work is done in 3 days
whole work will done in (3*5)=15 days
Question: Some of 10%-intensity red paint is replaced with 20% solution of red paint such that the new paint intensity is 15%. What fraction of the original paint was replaced?
A.2/5
B.2/3
C.1/2
D.1/3
Answer: C.1/2
Explanation: Let total paint = 1
Let amount replaced = x
10 (1-x) + 20x = 15
x = 1/2
ANSWER:C
Question: Solve x2 â€“ 7x = 0
A.0,7
B.1.7
C.2.7
D.3,7
Answer: A.0,7
Explanation: This quadratic factors easily: Copyright Â© Elizabeth Stapel 2002-2011 All Rights Reserved
x2 â€“ 7x = 0
x(x â€“ 7) = 0
x = 0 or x â€“ 7 = 0
x = 0 or x = 7
The solution is x = 0, 7
ANSWER A
Question: The ratio of the present ages of P and Q is 3:4. 5 years ago, the ratio of their ages was 5:7. Find the their present ages?
A.30, 40
B.30, 46
C.30, 29
D.31, 40
Answer: A.30, 40
Explanation: Their present ages be 3X and 4X.
5 years age, the ratio of their ages was 5:7, then (3X - 5):(4X - 5) = 5:7
X = 35 - 25 => X = 10.
Their present ages are: 30, 40.
Answer: A
Question: Three business people wish to invest in a new company. Each person is willing to pay one third of the total investment. After careful calculations, they realize that each of them would pay $2,200 less if they could find two more equal investors. How much is the total investment in the new business?
A.$11,000
B.$50,000
C.$16,500
D.$ 6,600
Answer: C.$16,500
Explanation: Total Investment between 5: (x/5)
Total investment including 2200 less between 3 people(x-(2200*3))/3
Set both eq. equal to each other.
16,500
Answer C)
Question: In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?
A.15
B.77
C.25
D.18
Answer: C.25
Explanation: A scores 60 while B score 40 and C scores 30.
The number of points that C scores when B scores 100 = (100 * 30)/40 = 25 * 3 = 75.
In a game of 100 points, B gives (100 - 75) = 25 points to C.
Answer:C
Question: A car dealer has only blue and white cars in his show room. He has 24 blue cars and 30 white cars. He wants to have 60% more blue cars then white. How many whites cars does he have to sell to achieve his sales goal?
A.12
B.13
C.14
D.15
Answer: C.14
Explanation: We can use simple arithmetic to solve this problem by testing our answers.
Lets test B:
If he sold 13 white cars:
24 blue cars and 17 white cars for a total of 41 cars
24/41=58.5% not quite our answer
Lets test C
If he sold 14 white cars
24 blue cars and 16 white cars for a total of 40 cars
24/40=60%
Our answer is C
Question: if x:y = 1:5, then find the value of
(7x+3y):(2x+y)
A.14:5
B.15:5
C.16:5
D.22:7
Answer: D.22:7
Explanation: Explanation:
let x = 1k and y = 5k, so
=7(k)+3(5k)/ 2(k)+1(5k)
=22k/7k
=22:7
Option D
Question: If the arithmetic mean of seventy five numbers is calculated, it is 35. If each number is increased by 5, then mean of new number is?
A.43
B.40
C.87
D.77
Answer: B.40
Explanation: A.M. of 75 numbers = 35
Sum of 75 numbers = 75 * 35 = 2625
Total increase = 75 * 5 = 375
Increased sum = 2625 + 375 = 3000
Increased average = 3000/75 = 40.
Answer:B
Question: The denominator of a fraction is 6 greater than the numerator. If the numerator and the denominator are increased by 1, the resulting fraction is equal to 4â„5. What is the value of the original fraction?
A.17/23
B.23/29
C.29/35
D.31/37
Answer: B.23/29
Explanation: Let the numerator be x.
Then the denominator is x+6.
x+1 / x+7 = 4/5.
5x+5=4x+28.
x=23.
The original fraction is 23/29.
The answer is B.
Question: An article is bought for Rs.600 and sold for Rs.1000, find the gain percent?
A.73 1/3%
B.63 1/3%
C.33 1/3%
D.66.66%
Answer: D.66.66%
Explanation: Explanation:
600 ---- 400
100 ---- ? => 66.66%
Answer:D
Question: The function f is defined by subtracting 25 from the square of a number and the function c is defined as the square root of one-half of a number. If c(f(x))=10, then which of the following is a possible value of x?
A.-15
B.-5
C.0
D.5
Answer: A.-15
Explanation: f(x) = x^2-25
c(x) = sqrt(x/2) not sqrt(x)/2, because the question clearly says its square root of (half of the number).
c(f(x)) = 10
c(x^2-25) =10
sqrt((x^2-25)/2) = 10
=> (x^2-25)/2 = 100
=>x^2 = 225
=> x = 15 or -15
Answer is A.
Question: Seven years ago the average age of a family of 2 members was 25 years. A child has been born. due to Which the average age of the family is 23 years today. What is the present age of the child?
A.7 years
B.5 years
C.3 years
D.8 years
Answer: B.5 years
Explanation: Explanation:
Average of the family of two numbers
7 years ago = 25
= (25+ 7) * 2 = 64 years
Average age of the family of three members at present = 23 years
= 23 * 3 = 69 YEARS
Age of child = 69 - 64 = 5 years
Answer: Option B
Question: A machine puts c caps on bottles in m minutes. How many hours will it take to put caps on b bottles
A.60bm/c
B.bm/60c
C.bc/60m
D.60b/cm
Answer: B.bm/60c
Explanation: Explanation:
Substitute sensible numbers and work out the problem. Then change the numbers back to letters. For example if the machine puts 6 caps on bottles in 2 minutes, it will put 6 /2 caps on per minute, or (6 /2) x 60 caps per hour. Putting letters back this is 60c/m.If you divide the required number of caps (b) by the caps per hour you will get time taken in hours. This gives bm/60c
Answer: B
Question: How many positive integers less than 100 are there such that they are multiples of 13 or multiples of 12 but not both?
A.15
B.16
C.17
D.18
Answer: A.15
Explanation: for 13: 13...91=13*7 = 7
for 12: 12...96=12*8 =8
but there is no integer 13*12. so
N=(7)+(8)=15
A
Question: On the xy-coordinate plane, point A lies on the y-axis and point B lies on the x-axis. Points A, B, and C form a right triangle with a 90-degree angle at point C and the triangle has an area of 30. If AC is parallel to the x-axis, and BC is parallel to the y-axis, which of the following could be the coordinates of point C?
A.(−2, 30)
B.(−4, 12)
C.(6, −9)
D.(9, −8)
Answer: A.(−2, 30)
Explanation: The area of the triangle formed will be:
1/2 * base * height =
1/2 * |(X-coordinate of point C)| * |(Y-coordinate of point C)| = 30
Thus |product of coordinates of point C| = 60
The answer is A.
Question: Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill cistern. How much time will be taken by A to fill the cistern separately?
A.1 hr
B.2 hrs
C.6 hrs
D.8 hrs
Answer: C.6 hrs
Explanation: Let the cistern be filled by pipe A alone in x hours.
Then, pipe B will fill it in (x + 6) hours.
1/x + 1/(x + 6) = 1/4
x2 - 2x - 24 = 0
(x - 6)(x + 4) = 0 => x = 6.
ANSWER:C
Question: what will be the highest no. of students in which 1001 pen and 910 pencil should be distributed so that everyone get equal no. of pen and pencils?
A.91
B.910
C.1011
D.1911
Answer: A.91
Explanation: h.c.f of 910 and 1001=91
answer A
Question: A began business with Rs.45000 and was joined afterwards by B with Rs.5400. When did B join if the profits at the end of the year were divided in the ratio of 2:1?
A.8 months
B.4 months
C.7 months
D.9 months
Answer: C.7 months
Explanation: 45*12 : 54*x = 2: 1
x = 5
12 -5 = 7
Answer:C
Question: Two cans A & B contain 25% & 30 % of milk. If 6 parts of can A and 4 parts of can B acre mixed in a can C. What is the proportion of milk in can C.
A.25%
B.26%
C.27%
D.28%
Answer: C.27%
Explanation: suppose we take 10 lits of solution in tank A and B then
25% of in A is 2.5 lits and 30% in B is 3 lits milk
6 parts of A can have 1.5 lits of milk and 4 parts of B have 1.2 lts of milk so
totally 2.7 lits of milk in c i.e 27%.
ANSWER:C
Question: A group of 1200 persons consisting of captains and soldiers is travelling in a train. For every 15 soldiers there is one captain. The number of captains in the group is
A.85
B.80
C.75
D.70
Answer: C.75
Explanation: Explanation:
Clearly, out of every 16 persons, there is one captain. So, number of captains (1200/16) = 75.
Answer: C
Question: A train 820 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
A.510
B.540
C.480
D.520
Answer: C.480
Explanation: Speed = 78 * 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (820 + x)/60 = 65/3
x = 480 m.
Answer: Option C
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 300 m and they cross each other in 12 sec, then the speed of each train is?
A.11
B.90
C.36
D.99
Answer: B.90
Explanation: Let the speed of each train be x m/sec.
Then, relative speed of the two trains = 2x m/sec.
So, 2x = (300 + 300)/12 => x = 25
Speed of each train = 25 m/sec.
= 25 * 18/5 =- 90 km/hr.
Answer: B
Question: Side of a square is 10 cm. after joining the mid point of all sides makes a another inner square and this process goes to infinite.Find the sum of perimeter of all squares.
A.333
B.278
C.27
D.8
Answer: B.278
Explanation: You can calculate the side of the small square in two ways. Take half of the side which is equal to 5 cm. Using Pythagorean theorem, x2=52+52x2=52+52 ⇒x2=50⇒x2=50 ⇒x=50−−√=52–√=102–√⇒x=50=52=102
In another way, we can equate the squares of the sides of the small square to square of the side which is equal to 10. ⇒x2+x2=102⇒x2+x2=102
⇒2x2=100⇒2x2=100⇒x=50−−√=52–√=102–√⇒x=50=52=102
So if you observe carefully, the side of the small square is 12–√12 part of the side of the bigger square.
So the side of the square inside the small square = 102–√×12–√=102=5102×12=102=5 and so on...
So areas of the perimeters = 4(10+102–√+102+...)4(10+102+102+...)
= 40(1+12–√+12+...)40(1+12+12+...)
The terms in the bracket are in GP withe common ratio of 12–√12
So Sum of the perimeters = 40⎛⎝⎜11−12–√⎞⎠⎟40(11−12) = 40(2–√2–√−1)
Answer:B
Question: If x = 55 + 2q and y = 4q + 41, then for what value of q, x is equal to y ?
A.-14
B.14
C.-7
D.7
Answer: D.7
Explanation: Explanation:
x = y <=> 55 + 2q = 4q + 41 <=> 2q = 14 <=> q = 7.
Answer: D
Question: Which of the following numbers is a perfect square?
A.1266
B.1444
C.2022
D.4034
Answer: B.1444
Explanation: perfect Square never ends with 2, 3, 7 and 8 so straight away you can eliminate 8122 and 2022.
38*38 = 1444
ANSWER:B
Question: The area of a parallelogram is 72 cm^2 and its altitude is twice the corresponding base. What is the length of the base?
A.1 cm
B.3 cm
C.6 cm
D.4 cm
Answer: C.6 cm
Explanation: let base= x cm
height = 2x cm
area = x Ã— 2x=2x^2
area=x Ã— 2x=2x^2
Area is given as 72 cm^2
2x^2=72
x^2=36
x=6 cm
ANSWER:C
Question: If 2 dice as rolled, what is the probability of the total score being 2?
A.1/12
B.5/12
C.2/3
D.1/3
Answer: A.1/12
Explanation: Using the rules of probability, the likelihood of rolling a 2 would be 1/12, as the total score of rolling a 2 is 1 and 1. Answer: A
Question: Rs. 5887 is divided between Shyam and Ram, such that Shyam's share at the end of 9 years is equal to Ram's share at the end of 11 years, compounded annually at the rate of 5%. Find the share of Shyam.
A.3082
B.2887
C.3087
D.2887
Answer: C.3087
Explanation: Explanation:
Shyam's share * (1+0.05)9 = Ram's share * (1 + 0.05)11
Shyam's share / Ram's share = (1 + 0.05)11 / (1+ 0.05)9 = (1+ 0.05)2 = 441/400
Therefore Shyam's share = (441/841) * 5887 = 3087
Answer: C) 3087
Question: If q and r are negative integers, which of the following statements must be true?
I. (-q)^r is positive.
II. (-q)^(-r) is positive.
III. q^(-r) is positive.
A.None
B.II only
C.I and II
D.I and III
Answer: C.I and II
Explanation: Let's q = -2 and r = -3
I. (-q)^r = (2)^(-3) = 1/(2^3) --> Positive
II. (-q)^(-r) is positive. = 2^3 --> Positive
III. q^(-r) is positive. = -2^3 --> Negative
Answer: C
Question: A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
A.1.7
B.1.4
C.1.2
D.1.5
Answer: D.1.5
Explanation: M = 4.5
S = x
DS = 4.5 + x
US = 4.5 + x
4.5 + x = (4.5 - x)2
4.5 + x = 9 -2x
3x = 4.5
x = 1.5
Answer: D
Question: The sum of three consecutive odd numbers is always divisible by:
I. 2 II. 3 III. 5 IV. 6
A.Only I
B.Only II
C.Only I and II
D.Only II and IV
Answer: B.Only II
Explanation: Let the three consecutive odd numbers be (2x+1), (2x+3) and (2x+5).
Their sum = (6x=9)= 3 (2x+3), which is always divisible by 3.
ANSWER:B
Question: Radha bought a watch for Rs. 144 and got a percentage of profit equal to the cost price of the watch. What is the cost price of the watch?
A.Rs. 72
B.Rs. 78
C.Rs. 80
D.Rs. 90
Answer: D.Rs. 90
Explanation: SP=144
CP=x
profit %=x
C.P.= (100/(100+gain%))*S.P.
x=(100/100+x) *144
x^2+100x=14400
x^2+180x-80x-14400=0
(x+180) (x-80)=0
x=-180
x=80
ANSWER:D
Question: The average of first ten prime numbers which are odd is?
A.15.9
B.15.7
C.15.1
D.15.8
Answer: D.15.8
Explanation: Sum of first 10 prime no. which are odd = 158
Average
= 158/10
= 15.8
Answer:D
Question: In the formula V = 1/(2r)^2, if r is halved, then V is multiplied by?
A.16
B.8
C.4
D.1/8
Answer: C.4
Explanation: Say r=6 => V1 = 1/144
when r=3; V2 = 1/36
V2 = 36*V1.
Answer : C
Question: 1000 men have provisions for 15 days. If 200 more men join them, for how many days will the provisions last now?
A.12.8
B.12.6
C.12.5
D.12.2
Answer: C.12.5
Explanation: 1000*15 = 1200*x
x = 12.5.Answer: C
Question: The value of x is to be randomly selected from the integers from 1 to 9, inclusive, and then substituted into the equation y = x^2 - 4x + 3. What is the probability that the value of y will be negative?
A.1/9
B.2/9
C.1/3
D.4/9
Answer: A.1/9
Explanation: y will only be negative for x=2.
(We can check the values from 1 to 9 to be certain.)
P(y is negative) = 1/9
The answer is A.
Question: Mangala completes a piece of work in 15 days, Raju completes the same work in 35 days. If both of them work together, then the number of days required to complete the work is
A.6 days
B.10 1/2 days
C.8 1/2 days
D.9 days
Answer: B.10 1/2 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.
That is, the required No. of days = 15 Ã— 35/50 = 10 1/2 days.
B