Explore topic-wise MCQs in Mathematics.

This section includes 14 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

What is the real part of (9 + 3i)2?

A. 81
B. 90
C. 54
D. 72
Answer» E.
2.

What is the quotient when x4 + 4x3y + 6x2y + 4xy3 + y4 is divided by (x + y)?

A. (x + y)<sup>3</sup>
B. x<sup>2</sup> + y<sup>2</sup>
C. (x + y)<sup>2</sup>
D. (x + y)
Answer» B. x<sup>2</sup> + y<sup>2</sup>
3.

What is the value of ( frac{101^3-99^3+2969703 3029697}{ 101^2 99^2} )?

A. 1
B. 1/200
C. 1/100
D. 1/50
Answer» E.
4.

What is the value of ( frac{7^3+2^3+84}{7^2-2^2} ) ?

A. 9 ( frac{1}{2} )
B. 9 ( frac{2}{3} )
C. 9 ( frac{1}{3} )
D. 9 ( frac{1}{4} )
Answer» C. 9 ( frac{1}{3} )
5.

What is the answer of ( frac{x^2+y^2+2xy}{x^2-y^2} )?

A. (x y) (x + y)<sup>-2</sup>
B. (x + y) (x y)<sup>-2</sup>
C. (x + y) (x y)<sup>-1</sup>
D. (x y) (x + y)<sup>-1</sup>
Answer» D. (x y) (x + y)<sup>-1</sup>
6.

What is the expansion of the series (xy + 2)2?

A. x<sup>2</sup> + y<sup>2</sup> + 4
B. xy<sup>2</sup> + 4 +2xy
C. x<sup>2</sup>y<sup>2</sup> + 2xy + 4
D. x<sup>2</sup>y<sup>2</sup> + 4xy + 4
Answer» E.
7.

What is the remainder when (4)2n + 1 is divided by 5?

A. 4
B. 1
C. 2
D. 3
Answer» B. 1
8.

What are the coefficients of the first and the last term of (a + b)n?

A. 2
B. 1
C. Coefficients depend on n
D. 3
Answer» C. Coefficients depend on n
9.

What is the real part of (11 + i)3?

A. 1331
B. 1332
C. 1328
D. 1329
Answer» D. 1329
10.

What is the expansion of (x + y)1000?

A. ( Sigma_{r = 0}^{r = 1000} )(1000Cr x<sup>r 1000</sup> y<sup>r</sup>)
B. ( Sigma_{r = 0}^{r = 1000} )(100Cr x<sup>1000 r</sup> y<sup>r</sup>)
C. ( Sigma_{r = 0}^{r = 999} )(1000Cr x<sup>r 1000</sup> y<sup>r</sup>)
D. ( Sigma_{r = 0}^{r = 999} )(1000Cr x<sup>1000 r</sup> y<sup>r</sup>)
Answer» C. ( Sigma_{r = 0}^{r = 999} )(1000Cr x<sup>r 1000</sup> y<sup>r</sup>)
11.

What is the integral part of ( 3 + 1)8?

A. 1558
B. 1551
C. 1552
D. 1556
Answer» D. 1556
12.

What is the remainder when 4103 is divided by 17?

A. 10
B. 14
C. 13
D. 16
Answer» E.
13.

What is the remainder when 848 is divided by 63?

A. 4
B. 2
C. 1
D. 7
Answer» D. 7
14.

What is the coefficient of x2y2 in (x + 1)2 . (x + 1)3?

A. 1
B. 5
C. 2
D. 10
Answer» B. 5