RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: How many different 4-digit numbers can be written using the digits 1 to 8 without repetition such that the number always contains the digit 2?
A.360
B.560
C.760
D.840
Answer: D.840
Explanation: The most restrictive case. We should have a two.
No repetition. Numbers range from 1 to 8.
= 1*7*6*5 = 210 ways we can write if '2' is in the first position.
= 4*(210)
=840 ways.
Another method.
Without restriction for 8 digits- 8*7*6*5 = 1680 Ways we can write.
Without restriction for 7 digits- 7*6*5*4 = 840 Ways.
With restriction = 1680 - 840 = 840 Ways.
ANSWER:D
Question: Six years ago, P was half of Q in age. If the ratio of their present ages is 3:4, what will be the total of their present ages
A.A)21
B.B)34
C.C)45
D.D)25
Answer: A.A)21
Explanation: Explanation:
Let the present age of P and Q be 3x and 4x respectively.
Six years ago, P was half of Q in age
=> 2(3x – 6) = (4x – 6)
=> 6x – 12 = 4x – 6
=> 2x =6
=> x = 3
7x=7*3=21
Answer: Option A
Question: I sold a book at a profit of 10%. Had I sold it for $100 more, 15% would have been gained. Find the cost price?
A.$2000
B.$2500
C.$3000
D.$3120
Answer: A.$2000
Explanation: 115% of cost - 110% of cost = $100
5% of cost = $100
cost = 100*100/5 = $2000
Answer is A
Question: Persons A and B. Person A picks a random no. from 1 to 1000.Then person B picks a random no. from 1 to 1000. What is the probability of B getting no. greater then what A has picked.
A.0.3995
B.0.4995
C.0.5995
D.0.6995
Answer: B.0.4995
Explanation: Probability of A choosing 1 and B greater = (1/1000)*(999/1000);
Probability of A choosing 2 and B greater = (1/1000)*(998/1000);
Probability of A choosing 3 and B greater = (1/1000)*(997/1000); ...;
Probability of A choosing 998 and B greater = (1/1000)*(2/1000);
Probability of A choosing 999 and B greater = (1/1000)*(1/1000);
Total = (1/1000)*(1/1000)*(999+998+997+...+2+1) = (1/1000)*(1/1000)*(999*1000/2) = 0.4995
ANSWER:B
Question: In a Shop, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
A.70%
B.50%
C.100%
D.60%
Answer: A.70%
Explanation: CP.= Rs. 100. => Profit = Rs. 320, S.P. = Rs. 420.
New C.P. = 125% of Rs. 100 = Rs. 125
New S.P. = Rs. 420.
Profit = Rs. (420 - 125) = Rs. 295.
Req = (295/420*100) == > 70%
ANSWER A
Question: What is the square root of 625, divided by 5?
A.9
B.36
C.5
D.6
Answer: C.5
Explanation: Square root is a number times itself
Square root of 625=25, 25/5=5
(C)5
Question: In a senior secondary school, 80 students play hockey or football. The number that play football is 5 more than twice the number that play hockey. If the 15 students play both games and every student in the school playsat least one game, find:
The number of students that play football?
A.10
B.15
C.20
D.30
Answer: B.15
Explanation: number who play hockey ---- x
number who play football -- 2x+5
x + 2x+5 = 80
x = 25
so 25 play hockey, 55 play football, and 15 play both
Answer is B
Question: The average of first 10 prime numbers is?
A.12.5
B.12.4
C.12.9
D.12.3
Answer: C.12.9
Explanation: Sum of 10 prime no. = 129
Average = 129/10 = 12.9
Answer: C
Question: Sandy had $210 left after spending 30% of the money she took for shopping. How much money did Sandy take along with her?
A.$240
B.$300
C.$360
D.$420
Answer: B.$300
Explanation: Let the money Sandy took for shopping be x.
0.7x = 210
x = 300
The answer is B.
Question: 4 apple and 3 mangoes costs rs.34, 2 mangoes and 5 oranges costs 49, 3 oranges and 6 apples costs 54. What is the price of 1 apple?
A.151/19
B.151/17
C.151/18
D.151/16
Answer: A.151/19
Explanation: 4A+3M = 34 -----(1)
2M+5O = 49 -----(2)
3O+6A = 54 -----(3)
from (2) and (3)
30A-6M = 123 -----(4)
from (1) and (4)
A = 191/38
substituting in (1) and (3)
M= 88/19
O = 151/19
ANSWER:A
Question: By how much is three-fifth of 390 greater than four-seventh of 210 ?
A.90
B.100
C.110
D.114
Answer: D.114
Explanation: Explanation:
3/5 of 390 - 4/7 of 210 = 234 - 120 = 114.
Answer: D
Question: What is the median from the below series
77, 72, 68, 76, 78, 88, 84, 86, and 81
A.72
B.76
C.78
D.77
Answer: C.78
Explanation: Ordering the data from least to greatest, we get:
68, 72, 76, 77, 78, 81, 84, 86, 88
The median numbers was 78. (Four number were higher than 78 and four were lower.)
C
Question: How many of the integers between 10 and 40 are even ?
A.21
B.20
C.15
D.10
Answer: C.15
Explanation: Number start between 10 to 40 is 30 numbers
half of them is even..which is 15
ANSWER:C
Question: Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
A.7
B.8
C.6
D.9
Answer: D.9
Explanation: 1/10 + 1/15 - 1/x = 1/18
x = 9
Answer: D
Question: If x is an integer, then y(y – 1)(y – l) must be evenly divisible by three when l is any of the following values EXCEPT
A.-4
B.-3
C.-2
D.2
Answer: C.-2
Explanation: We have the product of 3 integers: (y-1)y(y-l).
Note that the product of 3 integers is divisible by 3 if at least one multiple is divisible by 3. Now, to guarantee that at least one integer out of y, (y – 1), and (y – l) is divisible by 3 these numbers must have different remainders upon division by 3, meaning that one of them should have remainder of 1, another reminder of 2 and the last one remainder of 0, so be divisible by 3.
Next, if l=-2 then we'll have (y-1)x(y+2)=(y-1)x(y-1+3) --> which means that (y-1) and (y+2) will have the same remainder upon division by 3. Thus for l=-2 we won't be sure whether (y-1)x(y-l) is divisible by 3.
Answer: C.
Question: A customer asks the clerk for a paintbrush and a bucket of whitewash for a total price of B dollars. If the paintbrush costs 100 cents less than twice the price of a bucket of whitewash, what is the price of half a bucket of whitewash in dollars?
A.(B + 2)/2.
B.(B + 2)/5.
C.(2B + 200)/3.
D.(B + 2)/3.
Answer: B.(B + 2)/5.
Explanation: P = 2w - 100
thus total price in cents as given should be
2w-200 +w = 100B
3w - 200 = 100 B
3w = 100 B+200
3w =b+2 (in dollars)
w/2 = (b+2)/6
Ans:B
Question: If a lies in the range (-5,4) then which of the following statements must be true?
A.a^4 >a^3 > a^2 > a
B.a > a^2 > a^3 > a^4
C.a^4 > a^2 > a^3 >a
D.a^2 > a^4 > a^3 >a
Answer: D.a^2 > a^4 > a^3 >a
Explanation: consider any number from the given range (-5, +4)..let a=-1/2
then a^2= 1/4
a^3=-1/8
a^4=1/16
so we have a^2>a^4>a^3>a
Ans D
Question: Choose the missing terms out of the given alternatives.
BY, CX, DW, EV, FU, ?
A.EF
B.GH
C.GT
D.DW
Answer: C.GT
Explanation: C
GT
The first letter moves one step forward. The second letter moves one step backward.
Question: If 63 percent of a class answered the first question on a certain test correctly, 50 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
A.24%
B.27%
C.30%
D.33%
Answer: D.33%
Explanation: 63% answered the first question correctly and 20% answered neither correctly.
Then 17% missed the first question but answered the second question correctly.
Then the percent who answered both correctly is 50% - 17% = 33%.
The answer is D.
Question: A bicycle wheel has a diameter of 0.66m. How many complete revolutions does it make in 1km?
A.246
B.448
C.1408
D.482
Answer: D.482
Explanation: 1 revolution = 3.14 * diameter.
Number of revolutions in 1km = 1000m / ( 3.14 * 0.66m ) = 482.5. Hence 482 complete revolutions.
Answer D
Question: If the length of an edge of cube M is thrice the length of an edge of cube N, what is the ratio of the volume of cube N to the volume of cube M?
A.2/13
B.1/27
C.1/5
D.1/9
Answer: B.1/27
Explanation: The length of cube N = 1;
The length of cube M = 3;
The ratio of the volume of cube N to the volume of cube M = 1^3/3^3 = 1/27
Answer : B
Question: A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is
A.40
B.30
C.55
D.73
Answer: A.40
Explanation: A
40
Let distance = x km and usual rate = y kmph.
Then, x/y - x/(y+3) = 40/60 --> 2y (y+3) = 9x ----- (i)
Also, x/(y-2) - x/y = 40/60 --> y(y-2) = 3x -------- (ii)
On dividing (i) by (ii), we get: x = 40.
Question: N is a positive integer. When N + 1 is divided by 9, the remainder is 1. What is the remainder when N is divided by 9?
A.0
B.5
C.4
D.3
Answer: A.0
Explanation: N+1 = 9a+1
i.e. N+1 = 10, 19, 28, 37, ... etc.
i.e. N = 9, 18, 27, 36, ... etc.
When N is divided by 9 Remainder is always 0
Answer: A
Question: An association of mathematics teachers has 1,260 members. Only 525 of these members cast votes in the election for president of the association. What percent of the total membership voted for the winning candidate if the winning candidate received 65 percent of the votes cast?
A.75%
B.58%
C.42%
D.27.08%
Answer: D.27.08%
Explanation: Total Number of members = 1260
Number of members that cast votes = 525
Since , winning candidate received 65 percent of the votes cast
Number of votes for winning candidate = (65/100)*525 = 341.25
Percent of total membership that voted for winning candidate = (341.25/1260)*100 = 27.08%
Answer D
Question: A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/5-inch increase in the length of the shoe. If the largest size of this shoe is 20% longer than the smallest size, how long, in inches, is the shoe in size 15?
A.8.6
B.9.8
C.10.4
D.11.2
Answer: C.10.4
Explanation: Let x be the length of the size 8 shoe.
Then 0.2x = 9/5
x = 9 inches
The size 15 shoe has a length of 9 + 7/5 = 10.4 inches
The answer is C.
Question: A sealed envelope contains a card with a single digit written on it. Three of the following statements are true and one is false.
I. The digit is 1.
II. The digit is not 2.
III. The digit is not 9.
IV. The digit is 8.
Which one of the following must necessarily be correct?
A.III
B.I
C.IV
D.II
Answer: A.III
Explanation: Three of the given statements are true. So both II and III are correct, and the given number is one of 1 or 8. So option A is correct.
Answer:A
Question: The numerator of a certain fraction is 8 less than the denominator. If 3 is added to the numerator and 3 is subtracted from the denominator, the fraction becomes 3/4. Find the original fraction?
A.24.5
B.28.5
C.30
D.Data inadequate
Answer: C.30
Explanation: Explanation:
Let C.P. be Rs. 100.
Then, S.P. = Rs. 123.50
Let marked price be Rs. x. Then, 95/100 x = 123.50
x = 12350/95 = Rs. 130
Now, S.P. = Rs. 130, C.P. = Rs. 100
Profit % = 30%.
Answer: Option C
Question: In a certain company 20% of the men and 40% of the women attended the annual company picnic.If 40% of all the employees are men .What % of all the employee went to the picnic?
A.32%
B.34%
C.35%
D.36%
Answer: A.32%
Explanation: total men in company 40% means total women in company 60%(assume total people in company 100%)
no of men employees attended picnic=40x(20/100)=8
no of women employees attended picnic=60x(40/100)=24
total percentage of employees attended the picnic=8+24=32%
ANSWER:A
Question: 12 men take 18 days to complete a job whereas 12 women in 18 days can complete 1/3 of the same job. How many days will 10 men and 8 women together take to complete the same job?
A.6
B.13 1â„2
C.17
D.Data inadequate
Answer: C.17
Explanation: 12 M Ã— 18 = 12 W Ã— 18 Ã— 3/1
\ w = 1/3 M
10M + 8W = 10M + 8 Ã— 1/3M = 12 2/3 M
\12 2/3 men can complete the same work
in 12Ã—18/12 2/3=17days
Answer C
Question: The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 5 months, find for how much time did Q invest the money?
A.11
B.10
C.99
D.28
Answer: B.10
Explanation: Explanation:
7*5: 5*x = 7:10
x = 10
Answer: B
Question: Tickets numbered from 1 to 20 are mixed and then a ticket is selected randomly. What is the probability that the selected ticket bearsa number which is a multiple of 3?
A.1/7
B.2/11
C.3/10
D.4/13
Answer: C.3/10
Explanation: Here, S = [1, 2, 3, 4, …., 19, 20]
Let E = event of getting a multiple of 3 = [3, 6, 9, 12, 15, 18]
P (E) = n (E) / n (S) = 6 / 20 = 3/10
C
Question: Sum of 3 consecutive even no.'s is 26 more than the 1st no. of the series. Find the middle no.?
A.10
B.12
C.16
D.18
Answer: B.12
Explanation: Let the numbers be x, x+2 and x+4 then
x + x+2 + x+4 = x+26
3x + 6 = x + 26
2x = 20
\inline \therefore x = 10
\inline \therefore Middle number = x + 2 = 10+2 = 12
B
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is?
A.3/8
B.3/2
C.3/1
D.3/8
Answer: B.3/2
Explanation: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27 x meters, and length of the second train
= 17 y meters. (27 x + 17 y) / (x + y) = 23 ==> 27 x + 17 y = 23 x + 23 y ==> 4 x = 6 y
==> x/y
= 3/2.
Answer:B
Question: A bookseller has two display windows. She plans to display 2 new fiction books in the left window, and 5 new non-fiction books in the right window. Assuming she can put the five fiction books in any order, and separately, the three non-fiction books in any order, how many total configurations will there be for the two display windows?
A.240
B.72
C.144
D.336
Answer: A.240
Explanation: Two displays books could be arranged n! # of total arrangements are combinations multiplied together,
2!*5! =2*120=240
Answer is A
Question: 12,33,66,88,110,121 which number is wrong in series
A.12
B.33
C.66
D.88
Answer: A.12
Explanation: 12...........
all are multiples of 11 expect 12
ANSWER:A
Question: In a pair of fractions, fraction A is twice the fraction B and the product of two fractions is 2/25. What is the value of fraction A?
A.2/9
B.2/2
C.2/5
D.2/6
Answer: C.2/5
Explanation: Explanation:
A = 2B => B = 1/2 A, so, AB = 2/25
1/2 A2 = 2/25
A2 = 4/25
A = 2/5
Answer:C
Question: At a local appliance manufacturing facility, the workers received a 20% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?
A.83%
B.80%
C.20%
D.17%
Answer: D.17%
Explanation: Let's say he works usually 10 hours and earns 100 per hour.
10 * 100 = 1000
10 * 120 = 1200 (this are the new earnings after the raise)
To figure out how much he needs to work with the new salary in order to earn the original 1000:
1000/120 = 8.3333
So he can reduce his work by 1.6666 hours. Which is >15%.
Answer D.
Question: John can type a set of pages in 5 hours at a constant rate. If John types for 3 hours and Jack does the rest of the job, who works at 2/5 constant rate of John. How long will it take for Jack alone to do the rest of the job?
A.1hrs
B.3hrs
C.4hrs
D.5hrs
Answer: D.5hrs
Explanation: John will do 3/5 in 3 hrs, so John does 3/5 of the work ..
Therefore, Jack will do the remaining 2/5 th work alone..
As the speed of Jack is 2/5 rate of John, Jack will do the 2/5th work in same time that John takes to complete full job...
ans 5
D
Question: If the numbers 1 to 96 are written on 96 pieces of paper, (one on each) and one piece is picked at random, then What is the probability that the number drawn is neither prime nor composite?
A.1/50
B.1/25
C.1/96
D.1
Answer: C.1/96
Explanation: There are 25 primes, 70 composite numbers from 1 to 96. The number
which is neither prime nor composite is 1.
Therefore, required probability = 1/96.
ANSWER:C
Question: A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. If the smaller wheel has made 21 revolutions, what will be the number of revolutions made by the larger wheel?
A.15
B.12
C.21
D.9
Answer: D.9
Explanation: Explanation :
Let the number of revolutions made by the larger wheel be x
More cogs, less revolutions (Indirect proportion)
Hence we can write as
Cogs6:14}::x:21
⇒6×21=14×x⇒6×3=2×x⇒3×3=x⇒x=9. Answer : Option D
Question: 4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat weavers in 8 days ?
A.12
B.14
C.16
D.18
Answer: C.16
Explanation: Explanation:
Please always remember, that what exactly we need to calculate before applying chain formula. As in this question we need to find how many mats, RIGHT !
So we will compare everything with "number of mats"
As,
More men, More number of mats (Direct Proportion)
More days, More number of mats (Direct Proportion)
So, it can be solved as,
[Weavers 4 4
Days 8 8]::4:x
=>x∗4∗4=8∗8∗4
=>x=16
Option C
Question: P can finish a work in 18 days. Q can finish the same work in 15 days. Q worked for 10 days and left the job. how many days does P alone need to finish the remaining work?
A.6
B.8
C.7
D.4
Answer: A.6
Explanation: Explanation :
Work done by P in 1 day = 1/18
Work done by Q in 1 day = 1/15
Work done by Q in 10 days = 10/15 = 2/3
Remaining work = 1 – 2/3 = 1/3
Number of days in which P can finish the remaining work = (1/3) / (1/18) = 6
ANSWER:A
Question: How many positive integers less than 100 are neither multiples of 3 or 5.
A.a)30
B.b)31
C.c)32
D.d)53
Answer: D.d)53
Explanation: To answer this Q we require to know
1) multiples of 5 till 100 = 100/5 = 20
2) Multiples of 3 till 100 = 100/3 = 33.33= 33
add the two 20+33=53 ; subtract common terms that are multiple of both 5 and 3..
LCM of 5 and 3 = 15
Multiples of 15 till 100 = 100/15 = 6
so total multiples of 5 and 3 = 53-6 = 47
ans = 100-47 = 53
D
Question: Machine A and machine B are each used to manufacture 330 sprockets. It takes machine A 10 hours longer to produce 330 sprockets than machine B. Machine B produces 10% more sprockets per hour than machine A. How many sprockets per hour does machineAproduce?
A.3.3
B.6.6
C.60
D.100
Answer: A.3.3
Explanation: time taken by B = t
time taken by A = t+10
qty produced by A = q
qty produced by B = 1.1 q
for B: t(1.1q) =330
qt=300
for A: (t+10)(q) = 330
qt+10q=330
300+10q=330
q=3
so A can produce 3/hour.
then B can produce = 3(1.1)=3.3/hour.
A
Question: John started a business, investing Rs.18000. After 3 months and 4 months respectively, Rose and Tom joined him with capitals of 12000 and 9000. At the end of the year the total profit was Rs.3740. What is the difference between Rose ’s and Tom ’s share in the profit?
A.s.340
B.s.362
C.s.370
D.s.382
Answer: A.s.340
Explanation: John : Rose : Tom
Ratio of their investments = 18000 × 12 : 12000 × 9 : 9000 × 8
= 6 : 3: 2
The difference between Rose’s and Tom’s share = 1 share
:.i.e. = Rs. 3740 × 1/11 = Rs.340.
A)
Question: The duplicate ratio of 2:6 is?
A.1:2
B.1:4
C.1:9
D.1:18
Answer: C.1:9
Explanation: 2^2: 6^2 = 4:36=1:9
ANSWER:C
Question: A student appeared in the Mock CAT. The test paper contained 3 sections namely QA, DI and VA. The percentage marks in all VA was equal to the average of percentage marks in all the 3 sections. Coincidentally, if we reverse the digit of the percentage marks of QA we get the percentage marks of DI. The percentage marks in VA scored by student could be:
A.81
B.48
C.66
D.69
Answer: C.66
Explanation: Solution: Let the percentage marks in QA =(10a +b)%
Let the percentage marks in DI = (10b +a)%
Let the percentage marks in VA = x%.
Now, according to the question, we have,
[(10a+b) + x + (10b+a)] /3 = x
→11a + 11b + x = 3x.
or, x = 11(a +b) /2.
Clearly, we can see that the percentage of the VA section will be a multiple of 11.
So, required answer will be 66.
Answer: Option C
Question: A man two flats for $675958 each. On one he gains 11% while on the other he loses 11%. How much does he gain or lose in the whole transaction?
A.1.21%
B.2.56%
C.3.12%
D.4.65%
Answer: A.1.21%
Explanation: In such a case there is always a loss
Loss% = (11/10)^2 = 23/19= 1.21%
Answer is A
Question: Pipes A and B can fill a cistern in 6 and 30 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
A.13
B.10
C.16
D.18
Answer: B.10
Explanation: :
1/6 + 1/30 = 1/5
5 * 2 = 10.Answer:B
Question: T, U, V are 3 friends digging groups in fields. If T & U can complete i groove in 4 days &, U & V can complete 1 groove in 3 days & V & T can complete in 2 days. Find how many days each takes to complete 1 groove individually
A.24/7 days
B.23/7 days
C.22/7 days
D.26/7 days
Answer: A.24/7 days
Explanation: t+u=1/4, u+v=1/3, v+t=1/2
so 2(t+u+v)=1/4+1/3+1/2=3+4+6/12=13/12.
so (t+u+v)= 13/24.
so t = 13/24-1/3 = 13-8/24= 5/24.,
So T takes 24/5 days to complete the work
Similarly, u takes 24 days and v takes 24/7 days
ANSWER:A
Question: If a is a positive integer, then 2^a + 2^(a - 1) =
A.2^a
B.2^(a + 1)
C.-1*(2^a)
D.2a^(a + 1)
Answer: C.-1*(2^a)
Explanation: If a is a positive integer, then 2^a + 2^(a - 1) =
2^a + 2^(a - 1)
2^a(1-2)
-1*(2^a)
Option C is answer
Question: By selling 32 pencils for a rupee a man loses 60%. How many for a rupee should he sell in order to gain 60%?
A.10
B.9
C.8
D.6
Answer: A.10
Explanation: 40% --- 40
160% --- ?
40/160 * 40 = 10
Answer: A
Question: A can give B 90 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
A.120.88
B.120.13
C.111.22
D.120.0
Answer: A.120.88
Explanation: A runs 1000 m while B runs 910 m and C runs 800 m.
The number of meters that C runs when B runs 1000 m,
= (1000 * 800)/910 = 879.12 m.
B can give C = 1000 - 879.12
=120.88m.
Answer:A
Question: Find the unknown term 8,8,6,X,-4, -12
A.2
B.4
C.6
D.8
Answer: A.2
Explanation: 8,8,6,X,-4, -12
i guess each differ in d range of 2
8 - 8 = 0
8 - 6 = 2
6 - 2 = 4
2 - 6 = -4
-4 - 8 = -12
ANSWER:A
Question: The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:
A.15
B.16
C.18
D.25
Answer: B.16
Explanation: Explanation:
Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x.
S.P. of x articles = Rs. 20.
Profit = Rs. (20 - x).
(20-x / x	x 100 = 25)
=2000 - 100x = 25x
125x = 2000
=x = 16.
ANSWER IS B
Question: The sum of ages of 5 children born 3 years different each is 50 yrs. What is the age of the Elder child?
A.8
B.10
C.16
D.18
Answer: C.16
Explanation: Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.
Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50
5x = 20
x = 4.
x+12= 4+12= 16
C
Question: Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour?
A.22
B.88
C.77
D.20
Answer: D.20
Explanation: In 1hr, the bus covers 60 km without stoppages and 40 km with stoppages.
Stoppage time = time take to travel (60 - 40) km i.e 20 km at 60 km/hr.
stoppage time = 20/60 hrs = 20 min.
Answer: D
Question: A child want to buy 3 new toys. If there are 10 toys that satisfy the child's criteria,in how many different ways can the child select the 3 new toys if the order of selection doesn't matter.
A.20
B.120
C.210
D.15
Answer: B.120
Explanation: The number of ways of choosing 3 toys out of 10 are counted by = 10C3 ways = 120
Answer: Option B
Question: A bag contains 6 red, 5 blue and 2 green balls. If 2 balls are picked atrandom, what is the probability that both are red?
A.2/13
B.1/14
C.5/26
D.3/31
Answer: C.5/26
Explanation: P(Both are red),
=6C213C2=6C213C2
=5/26
C
Question: Helen went to the stationers and bought things worth Euro 30, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
A.Euro 15
B.Euro 15.7
C.Euro 19.7
D.Euro 24.7
Answer: D.Euro 24.7
Explanation: Explanation: Let the amount taxable purchases be Euro x.
Then, 6% of x = 30/100
x = (30/100 x 100/6) = 5.
Cost of tax free items = Euro [30 - (5 + 0.30)] = Euro 24.70
Answer: Option D
Question: 22 people are there, they are shaking hands together, how many hand shakes possible,if they are in pair of cyclic sequence.
A.19
B.20
C.21
D.22
Answer: D.22
Explanation: in case of cycle no of handshakes = no of persons
hence ans = 22
ANSWER:D