1
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
How many real numbers satisfy the equation |x - 4| + |x - 7| = 15 ?
A
Only one 
B
Only two 
C
Only three
D
Infinitely many
2
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
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
$A=R \backslash\left\{-\frac{5}{3}\right\} \text { and } B=R \backslash\left\{-\frac{2}{3}\right\}$
B
$A=R \text { and } B=R \backslash\left\{-\frac{5}{3}\right\}$
C
$A=R \backslash\left\{-\frac{3}{2}\right\} \text { and } B=R \backslash\{0\}$
D
$A=R \backslash\left\{-\frac{5}{3}\right\} \text { and } B=R \backslash\left\{\frac{2}{3}\right\}$
3
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

α and β are distinct real roots of the quadratic equation x2 + ax + b = 0. Which of the following statements is/are sufficient to find α ? 

1. α + β = 0, α2 + β2 = 2

2. αβ2 = -1, a = 0

Select the correct answer using the code given below :

A
1 only 
B
2 only 
C
Both 1 and 2
D
Neither 1 nor 2
4
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If the sixth term in the binomial expansion of $\left(x^{-\frac{8}{3}}+x^2 \log _{10} x\right)^8$ is 5600, then what is the value of x ? 
A
6
B
8
C
9
D
10
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