Explore topic-wise MCQs in Mathematics Questions and Answers.

This section includes 8 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.

1.

Let ‘*’ be a binary operation defined by a*b=3ab+5. Find 8*3.

A. 1547
B. 1458
C. 1448
D. 1541
Answer» E.
Discussion
2.

Let ‘*’ and ‘^’ be two binary operations such that a*b=a2 b and a ^ b = 2a+b. Find (2*3) ^ (6*7).

A. 256
B. 286
C. 276
D. 275
Answer» D. 275
Discussion
3.

Let ‘*’ be a binary operation defined by a*b=4ab. Find (a*b)*a.

A. 4a2 b
B. 16a2 b
C. 16ab2
D. 4ab2
Answer» C. 16ab2
Discussion
4.

Let ‘&’ be a binary operation defined on the set N. Which of the following definitions is commutative but not associative?

A. a & b=a-b
B. a & b=a+b
C. a & b=ab – 8
D. a & b=ab
Answer» D. a & b=ab
Discussion
5.

Let ‘*’ be defined on the set N. Which of the following are both commutative and associative?

A. a*b=a+b
B. a*b=a-b
C. a*b=ab2
D. a*b=ab
Answer» B. a*b=a-b
Discussion
6.

Let ‘*’ be a binary operation on N defined by a*b=a-b+ab2, then find 4*5.

A. 9
B. 88
C. 98
D. 99
Answer» E.
Discussion
7.

Let a*b=6a4-9b4 be a binary operation on R, then * is commutative.

A. True
B. False
Answer» C.
Discussion
8.

Let a binary operation ‘*’ be defined on a set A. The operation will be commutative if ________

A. a*b=b*a
B. (a*b)*c=a*(b*c)
C. (b ο c)*a=(b*a) ο (c*a)
D. a*b=a
Answer» B. (a*b)*c=a*(b*c)
Discussion