NDA Mathematics 16 April 2023 | NDA Year Wise Previous Years Questions

Mathematics

NDA Mathematics 16 April 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following statements :

1. (25)! + 1 is divisible by 26

2. (6)! + 1 is divisible by 7

Which of the above statements is/are correct ?

1 only

2 only

Both 1 and 2

Neither 1 nor 2

NDA Mathematics 16 April 2023

MCQ (Single Correct Answer)

+2.5

-0.83

If z is a complex number such that $\frac{z-1}{z+1}$ is purely imaginary, then what is |z| equal to ?

$\frac{1}{2}$

$\frac{2}{3}$

NDA Mathematics 16 April 2023

MCQ (Single Correct Answer)

+2.5

-0.83

How many real numbers satisfy the equation |x - 4| + |x - 7| = 15 ?

Only one

Only two

Only three

Infinitely many

NDA Mathematics 16 April 2023

MCQ (Single Correct Answer)

+2.5

-0.83

A mapping f : A → B defined as $f(x)=\frac{2 x+3}{3 x+5}, x \in A$ If f is to be onto, then what are A and B equal to ?

$A=R \backslash\left\{-\frac{5}{3}\right\} \text { and } B=R \backslash\left\{-\frac{2}{3}\right\}$

$A=R \text { and } B=R \backslash\left\{-\frac{5}{3}\right\}$

$A=R \backslash\left\{-\frac{3}{2}\right\} \text { and } B=R \backslash\{0\}$

$A=R \backslash\left\{-\frac{5}{3}\right\} \text { and } B=R \backslash\left\{\frac{2}{3}\right\}$