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.

Explore topic-wise MCQs in Mathematics.

If the constant term in the expansion of \({\left( {\sqrt x - \frac{k}{{{x^2}}}} \right)^{10}}\) is 405, then what can be the values of k?

If the coefficients of am and an in the expansion of (1 + a)m + n are α and β, then which one of the following is correct?

If the middle term in the expansion of \({\left( {{x^2} + \frac{1}{x}} \right)^{2n}}\) is 184756x10, then what is the value of n

If (1 + 2x - x2)6 = a0 + a1x + a2x2 + ... + a12x12, then what is a0 - a1 + a2 - a3 + a4 - ... + a12 equal to?

How many terms are there in the expansion of (1 + 2x + x2) 5 + (1 + 4y + 4y2) 5 ?

If some three consecutive coefficients in the binomial expansion of (x + 1)n in powers of x are in the ratio 2 : 15 : 70 then the average of these three coefficients is:

In the expansion of (1+ ax)n, the first three terms are respectively 1, 12x and 64x2. What is n equal to?

Let the coefficient of the middle term of the binomial expansion of (1 + x) 2n be α and those of two middle terms of the binomial expansion of (1 + x) 2n - 1 be β and γ. Which one of the following relations is correct?

Find the coefficient of x2 in the expansion of (3 + 2x)7.

In the expansion of (1 + x)50, the sum of the coefficients of odd powers of x is

If the fractional part of the number \(\frac{{{2^{403}}}}{{15}}{\rm{\;is\;}}\frac{{\rm{k}}}{{15}},\) then k is equal to:

If the third term in the binomial expansion of \({{\left( 1+{{x}^{\text{lo}{{\text{g}}_{2}}x}} \right)}^{5}}\) equals 2560, then a possible value of x is: