DAE MATH-113

Applied Mathematics-I

Chapter 3 : Bi-Nomial Theorem

DAE Common Technologies | First Year

Multiple Choice Questions

Chapter:03 (Bi-Nomial Theorem)

Question 1:

Third term of \({(x + y)}^4\) is:

\(4{x^2}{y^2}\) \(4{x^3}y\) \(6{x^2}{y^2}\) \(6{x^3}y\)

Question 2:

The number of terms in the expansion \({(a + b)}^{13}\) are:

12 13 14 15

Question 3:

The value of \((\begin{smallmatrix} n \\ r \end{smallmatrix})\) is:

\({\frac{n!}{r!(n-r)!}}\) \({\frac{n}{r(n-r)}}\) \({\frac{n!}{r!(n-r)}}\) \({\frac{n!}{(n-r)!}}\)

Question 4:

The second last term in the expansion of \({(a + b)}^7\) is:

\(7{a^6}b\) \(7a{b^6}\) \(7{b^7}\) \(15\)

Question 5:

\((\begin{smallmatrix} 6 \\ 4 \end{smallmatrix})\) will have the value:

10 15 20 25

Question 6:

\((\begin{smallmatrix} 3 \\ 0 \end{smallmatrix})\) will have the value:

0 1 2 3

Question 7:

In the expansion of \({(a + b)}^n\) the general term is:

\((\begin{smallmatrix} n \\ r \end{smallmatrix}){a^r}{b^r}\) \((\begin{smallmatrix} n \\ r \end{smallmatrix}){a^{n-r}}{b^r}\) \((\begin{smallmatrix} n \\ {r-1} \end{smallmatrix}){a^{n-r+1}}{b^{r-1}}\) \((\begin{smallmatrix} n \\ r \end{smallmatrix}){a^{n-r-1}}{b^{r-1}}\)

Question 13:

The value of \((\begin{smallmatrix} n \\ n \end{smallmatrix})\) is equal to:

Zero 1 n -n

Question 16:

Binomial series for \({(1 + x)}^n\) is valid only when:

x < 1 x < -1 |x| < 1 None of these

NOTE
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INSTRUCTOR
MUHAMMAD BIN JAMEEL
BSC ENGG. CIVIL

PBTE | DAE | MATH-113 APPLIED MATHEMATICS-I | MCQs | Chapter : 03 Bi-Nomial Theorem