NDA Mathematics 4 September 2022 | NDA Year Wise Previous Years Questions

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NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

Let P be the sum of first n positive terms of an increasing arithmetic progression A. Let Q be the sum of first n positive terms of another increasing arithmetic progression B.

Let P ∶ Q = (5n + 4) ∶ (9n + 6)

What is the ratio of the first term of A to that of B ?

1/3

2/5

3/4

3/5

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

Let P be the sum of first n positive terms of an increasing arithmetic progression A. Let Q be the sum of first n positive terms of another increasing arithmetic progression B.

Let P ∶ Q = (5n + 4) ∶ (9n + 6)

What is the ratio of their 10th terms ?

11/29

22/49

33/59

44/69

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

Let P be the sum of first n positive terms of an increasing arithmetic progression A. Let Q be the sum of first n positive terms of another increasing arithmetic progression B.

Let P ∶ Q = (5n + 4) ∶ (9n + 6)

If d is the common difference of A, and D is the common difference of B, then which one of the following is always correct ?

D > d

D < d

7D > 12d

None of the above

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the binomial expansion of (p + qx)9 :

What is the value of q if the coefficients of x3 and x6 are equal ?

$\frac{1}{\text{p}}$

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