Explore topic-wise MCQs in Arithmetic Ability.

This section includes 123 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic Ability knowledge and support exam preparation. Choose a topic below to get started.

1.

You toss a coin AND roll a die. What is the probability of getting a tail and a 4 on the die?

A. 44228
B. 44531
C. 44257
D. 44289
Answer» C. 44257
Discussion
2.

Which of the following questions is a statistical question?

A. Where do the professional sports leagues play?_x005F_x000D_
B. How many professional sports leagues are there?
C. How many hours do the student-athletes at your school spend each week training for a sports league?
D. How many hours of professional training took place over the weekend?_x005F_x000D_
Answer» C. How many hours do the student-athletes at your school spend each week training for a sports league?
Discussion
3.

When two dice are thrown simultaneously, what is the probability that the sum of the two numbers that turn up is less than 12?

A. 35/36
B. 17/36
C. 15/36
D. 13150
Answer» B. 17/36
Discussion
4.

X attempts 94 questions and gets 141 marks. If for every correct answer 4 marks is given, and for every wrong answer 1 mark is deducted, then the number of questions wrongly answered by X is __.

A. 45
B. 47
C. 57
D. 40
Answer» C. 57
Discussion
5.

What is the probabiltiy of getting a mutliple of 2 or 5 when an unbiased cubic die is thrown?

A. 44256
B. 44228
C. 44257
D. 44348
Answer» D. 44348
Discussion
6.

What is the probability that it is either a heart card or diamond card, when a card is drawn from a well shuffled standard pack of 52 playing cards?

A. 1
B. 44228
C. 44289
D. 44256
Answer» C. 44289
Discussion
7.

What is the probability that a number is divisible by 4?

A. 2
B. 44228
C. 44287
D. 1
Answer» C. 44287
Discussion
8.

What is the probability that a leap year selected at random, will contain 53 sundays?

A. 44378
B. 44256
C. 44379
D. 44381
Answer» D. 44381
Discussion
9.

What is the probability that a leap year has 53 Saturdays and 52 Sundays ?

A. 44378
B. 44379
C. 44228
D. 44230
Answer» B. 44379
Discussion
10.

What is the probability that a couple with four children have atleast one girl?

A. 0.0625
B. 0.9375
C. 0.5
D. 0.0257
Answer» C. 0.5
Discussion
11.

What is the probability of getting 53 Mondays in a leap year?

A. 44378
B. 44380
C. 44379
D. 1
Answer» D. 1
Discussion
12.

What is the median of the following list of numbers_x005F_x000D_  _x005F_x000D_ 55, 53, 56, 59, 61, 69, and 31 ?

A. 55
B. 56
C. 59
D. 61
Answer» C. 59
Discussion
13.

Variance of the data 2, 4, 5, 6, 8, 17 is 23.33. Then the variance of 4, 8, 10, 12, 16, 34 will be_x005F_x000D_

A. 11.66
B. 46.66
C. 93.3333
D. 4.83
Answer» D. 4.83
Discussion
14.

Two unbiased coin are tossed. What is the probability of getting atmost one head?

A. 44228
B. 44230
C. 44348
D. 44289
Answer» E.
Discussion
15.

_x005F_x000D_ _x005F_x000D_ _x005F_x000D_ _x005F_x000D_ _x005F_x000D_ Two dice are tossed. The probability that the total score is a prime number is :_x005F_x000D_ _x005F_x000D_ _x005F_x000D_ _x005F_x000D_ _x005F_x000D_

A. 44348
B. 44228
C. 44535
D. 44289
Answer» D. 44289
Discussion
16.

Two dice are tossed. The probability that the total score is a prime number is:

A. 44535
B. 44348
C. 44228
D. 44446
Answer» B. 44348
Discussion
17.

Two dice are rolled simultaneously. Find the probability of getting a total of 9.

A. 44256
B. 44440
C. 44447
D. 44478
Answer» C. 44447
Discussion
18.

Two brother X and Y appeared for an exam. The probability of selection of X is 1/7 and that of B is 2/9. Find the probability that both of them are selected.

A. 23012
B. 41640
C. 23043
D. 44440
Answer» D. 44440
Discussion
19.

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 4 or 15 ?

A. 43617
B. 44472
C. 44476
D. 42887
Answer» C. 44476
Discussion
20.

There are 26 balls marked with alphabetical order A to Z. What is the probability of selecting vowels listed balls?

A. 1
B. 21/26
C. 46143
D. 5
Answer» D. 5
Discussion
21.

There are 10 Letters and 10 correspondingly 10 different Address. If the letter are put into envelope randomly, then find the Probability that Exactly 9 letters will at the Correct Address ?

A. 44470
B. 44440
C. 1
D. 0
Answer» E.
Discussion
22.

The variance of a set of data is 196. Then the standard deviation of the data is_x005F_x000D_

A. -14
B. 14
C. 96
D. 98
Answer» C. 96
Discussion
23.

The variance of a set of data is 169. Then the standard deviation of the data is_x005F_x000D_

A. -13
B. 13
C. 69
D. 84.5
Answer» C. 69
Discussion
24.

The variance of a set of data is 121. Then the standard deviation of the data is

A. -11
B. 11
C. 21
D. 60.5
Answer» C. 21
Discussion
25.

The standard deviation of the set {10, 11, 12, 9, 8} is

A. 1
B. √2
C. 2
D. 2√2
Answer» C. 2
Discussion
26.

The second statement is the ____ of the first._x005F_x000D_  _x005F_x000D_ 1.  P ⇒ Q2.  ~Q ⇒ ~P_x005F_x000D_

A. Converse
B. Inverse
C. Contrapositive
D. Contradiction
Answer» D. Contradiction
Discussion
27.

The probability that z lies between 0 and 3.01

A. 0.4987
B. 0.5
C. 0.9987
D. 0.1217
Answer» B. 0.5
Discussion
28.

The probabiltiy that throw of two dice yields a total of 5 or 6 is:

A. 41671
B. 43221
C. 44289
D. 44287
Answer» C. 44289
Discussion
29.

The probability that a number selected at random from the first 100 natural numbers is a composite number is  ?

A. 44230
B. 44257
C. 44228
D. 34/7
Answer» B. 44257
Discussion
30.

The probability that a bowler bowled a ball from a point will hit by the batsman is ¼. Three such balls are bowled simultaneously towards the batsman from that very point. What is the probability that the batsman will hit the ball ?

A. 37/64
B. 27/56
C. 41579
D. 44417
Answer» B. 27/56
Discussion
31.

The probability of success of three students X, Y and Z in the one examination are 1/5, 1/4 and 1/3 respectively. Find the probability of success of at least two.

A. 44287
B. 44228
C. 44348
D. 44256
Answer» D. 44256
Discussion
32.

The probability that a card drawn at random from the pack of playing cards may be either a queen or an ace is:

A. 41518
B. 41579
C. 41306
D. None of these
Answer» D. None of these
Discussion
33.

The probability of occurance of two two events A and B are 1/4 and 1/2 respectively. The probability of their simultaneous occurrance is 7/50. Find the probability that neither A nor B occurs.

A. 25/99
B. 39/100
C. 61/100
D. 17/100
Answer» C. 61/100
Discussion
34.

The odds favouring the event of a person hitting a target are 3 to 5. The odds against the event of another person hitting the target are 3 to 2. If each of them fire once at the target, find the probability that both of them hit the target.

A. 43831
B. 43922
C. 43831
D. 43891
Answer» E.
Discussion
35.

The probabilities that a student will receive an A, B, C or D grade are 0.4, 0.3 , 0.2 and 0.1 respectively. Find the probability that a student will receive Atleast B grade.

A. 0.21
B. 0.3
C. 0.7
D. None of these
Answer» D. None of these
Discussion
36.

The mean of distribution is 11 and the standard deviation is 5. What is the value of the coefficient variation?

A. 0.4545
B. 0.3535
C. 0.2525
D. 0.5555
Answer» B. 0.3535
Discussion
37.

The mean of the data 2, 9, 9, 3, 6, 9, 4 is

A. 33/7
B. 6
C. 43/7
D. 7
Answer» C. 43/7
Discussion
38.

The mean of a distribution is 21 and the standard deviation is 7. What is the value of the coefficient variation?_x005F_x000D_

A. 0.1666
B. 0.6666
C. 0.3333
D. 1
Answer» D. 1
Discussion
39.

The mean of a distribution is 20 and the standard deviation is 4. What is the value of the coefficient variation?

A. 0.1
B. 0.2
C. 0.4
D. 0.6
Answer» C. 0.4
Discussion
40.

The mean of a distribution is 18 and the standard deviation is 4.5. What is the value of the coefficient of variation?

A. 0.5
B. 0.25
C. 1
D. 0.75
Answer» C. 1
Discussion
41.

The mean of a distribution is 15 and the standard deviation is 5. What is the value of the coefficient variation?

A. 0.1666
B. 0.6666
C. 0.3333
D. 1
Answer» D. 1
Discussion
42.

The mean of 20 observations is 19. One more observation is included and the new mean becomes 20. The 21st observation is

A. 20
B. 30
C. 40
D. 42
Answer» D. 42
Discussion
43.

The Manager of a company accepts only one employees leave request for a particular day. If five employees namely Roshan, Mahesh, Sripad, Laxmipriya and Shreyan applied for the leave on the occasion of Diwali. What is the probability that Laxmi priya’s leave request will be approved ?

A. 1
B. 44317
C. 5
D. 44320
Answer» C. 5
Discussion
44.

The letters of the word CASTIGATION is arranged in different ways randomly. What is the chance that vowels occupy the even places ?

A. 0.04
B. 0.043
C. 0.047
D. 0.05
Answer» C. 0.047
Discussion
45.

Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is  ?

A. 16/19
B. 1
C. 44230
D. 17/20
Answer» E.
Discussion
46.

Out of 3 girls and 6 boys a group of three members is to be formed in such a way that at least one member is a girl. In how many different ways can it be done?

A. 64
B. 84
C. 56
D. 20
Answer» B. 84
Discussion
47.

Out of 17 applicants 8 boys and 9 girls. Two persons are to be selected for the job. Find the probability that at least one of the selected persons will be a girl.

A. 19/34
B. 44291
C. 20/34
D. 25/34
Answer» E.
Discussion
48.

One card is drawn from a pack of 52 cards,each of the 52 cards being equally likely to be drawn.Find the probability that the ball drawn is an ace :

A. 41275
B. 44531
C. 41640
D. 42005
Answer» B. 44531
Discussion
49.

One card is drawn from a pack of 52 cards , each of the 52 cards being equally likely to be drawn. Find the probability that the card  drawn is neither a spade nor a king.

A. 0
B. 41518
C. 44228
D. 41365
Answer» C. 44228
Discussion
50.

One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn find the probability the card drawn is red.

A. 44257
B. 44228
C. 18994
D. 13/51
Answer» C. 18994
Discussion