1
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
What is the remainder when 7- 6n is divided by 36 for n = 100?
1
0
2
1
3
2
4
6
2
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Direction : Consider the following for the items that follow :  

Let (8 + 3√7) 20  = U + V and (8 - 3√7) 20  = W, where U is an integer and 0 < V < 1.

What is V + W equal to? 
1
8
2
4
3
2
4
1
3
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Direction : Consider the following for the items that follow :  

Let (8 + 3√7) 20  = U + V and (8 - 3√7) 20  = W, where U is an integer and 0 < V < 1.

What is the value of (U + V)W? 
1
1/2
2
1
3
3/2
4
2
4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

What is the coefficient of $x^{10}$ in the expansion of $(1-x^2)^{20}\left(2-x^2-\frac{1}{x^2}\right)^{-5}$?

A

-1

B

1

C

10

D

Coefficient of $x^{10}$ does not exist

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