1
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83

A man has 7 relatives (4 women and 3 men). His wife also has 7 relatives (3 women and 4 men). In how many ways can they invite 3 women and 3 men so that 3 of them are man's relatives and 3 of them are his wife's relatives?

A

340

B

484

C

485

D

469

2
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83

A triangle $PQR$ is such that 3 points lie on the side $PQ$, 4 points on $QR$ and 5 points on $RP$ respectively. Triangles are constructed using these points as vertices. What is the number of triangles so formed?

A

205

B

206

C

215

D

220

3
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83

If $\log{a} = p$, $\log{c} = 2p$ and $\log{e} = 3p$, then what is $(ace)^\frac{1}{p}$ equal to?

A

$bd^2 f^3$

B

$bdf$

C

$b^3 d^2 f$

D

$b^2 d^2 f^2$

4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83

If $\sqrt{2}$ and $\sqrt{3}$ are roots of the equation $a_0 + a_1 x + a_2 x^2 + a_3 x^3 + x^4 = 0$ where $a_0, a_1, a_2, a_3$ are integers, then which one of the following is correct?

A

$a_2 = a_3 = 0$

B

$a_2 = 0$ and $a_3 = -5$

C

$a_0 = 6$, $a_3 = 0$

D

$a_1 = 0$ and $a_2 = 5$

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