Explore topic-wise MCQs in Mathematics.

This section includes 12 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 fourth term of (x 5y)96?

A. 125 <sup>96</sup>C<sub>3</sub> x<sup>93</sup> y<sup>3</sup>
B. 625 <sup>96</sup>C<sub>3</sub> x<sup>93</sup> y<sup>4</sup>
C. 625 <sup>96</sup>C<sub>4</sub> x<sup>92</sup> y<sup>4</sup>
D. 125 <sup>96</sup>C<sub>4</sub> x<sup>92</sup> y<sup>4</sup>
Answer» B. 625 <sup>96</sup>C<sub>3</sub> x<sup>93</sup> y<sup>4</sup>
Discussion
2.

What is the coefficient of the middle term of (z + y)3x, if 3x is considered to be even and the middle term is the 4th term?

A. <sup>7</sup>C<sub>3</sub>
B. <sup>6</sup>C<sub>2</sub>
C. <sup>6</sup>C<sub>3</sub>
D. <sup>7</sup>C<sub>2</sub>
Answer» B. <sup>6</sup>C<sub>2</sub>
Discussion
3.

What is the middle term of (xyz + 3)80?

A. <sup>80</sup>C<sub>41</sub> (xyz)<sup>41</sup> (3)<sup>39</sup>
B. <sup>80</sup>C<sub>40</sub> (xyz)<sup>40</sup> (3)<sup>40</sup>
C. <sup>80</sup>C<sub>39</sub> (xyz)<sup>39</sup> (3)<sup>40</sup>
D. <sup>80</sup>C<sub>41</sub> (xyz)<sup>41</sup> (3)<sup>40</sup>
Answer» C. <sup>80</sup>C<sub>39</sub> (xyz)<sup>39</sup> (3)<sup>40</sup>
Discussion
4.

If the general term is 91C2 x89, what is the expansion?

A. (x)<sup>91</sup>
B. (x 2)<sup>90</sup>
C. (x 1)<sup>91</sup>
D. (x + 1)<sup>90</sup>
Answer» D. (x + 1)<sup>90</sup>
Discussion
5.

What is the value of n if the middle term (x + 2y)2n + 1 is the 19th term?

A. 33
B. 34
C. 35
D. 38
Answer» D. 38
Discussion
6.

What is the even value of n, if the middle term of (a + b)2n 3 is 11?

A. 12
B. 10
C. 20
D. 22
Answer» B. 10
Discussion
7.

Which of the following values of n are possible, if the middle term of (x + 3y)n is the fifth term.

A. 6, 7 or 8
B. 7, 8 or 10
C. 7, 8 or 9
D. 8, 9 or 10
Answer» D. 8, 9 or 10
Discussion
8.

What is the middle term of (x2 + x)3?

A. 3x<sup>4</sup>
B. 6x<sup>4</sup>
C. 4x<sup>4</sup>
D. 3x<sup>6</sup>
Answer» B. 6x<sup>4</sup>
Discussion
9.

What is the middle term of (4 + 2x)6?

A. 11240 x<sup>2</sup>
B. 10240 x<sup>3</sup>
C. 12240 x<sup>4</sup>
D. 10340 x<sup>4</sup>
Answer» C. 12240 x<sup>4</sup>
Discussion
10.

Which term will be the middle term of (xyz x)2n?

A. (n + 1)<sup>th</sup> term
B. (n + 2)<sup>th</sup> term
C. n<sup>th</sup> term
D. (n 1)<sup>th</sup> term
Answer» B. (n + 2)<sup>th</sup> term
Discussion
11.

What is the value of n, if the coefficients of the second term of (x y)3 is equal to the third term of the expansion (x + y)n?

A. 2
B. 3
C. 4
D. 5
Answer» C. 4
Discussion
12.

What is the general term of (x y)xy?

A. <sup>x y</sup>C<sub>r</sub> (x<sup>xy r</sup> . y<sup>r</sup>)
B. <sup>xy</sup>C<sub>r</sub> (x<sup>x y r</sup> . -y<sup>r</sup>)
C. <sup>xy</sup>C<sub>r</sub> (x<sup>xy r</sup> . -y<sup>r</sup>)
D. <sup>x y</sup>C<sub>r</sub> (x<sup>x y r</sup> . y<sup>r</sup>)
Answer» D. <sup>x y</sup>C<sub>r</sub> (x<sup>x y r</sup> . y<sup>r</sup>)
Discussion