1
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

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 ?
A
1/3
B
2/5
C
3/4
D
3/5
2
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

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 ?
A
11/29
B
22/49
C
33/59
D
44/69
3
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

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 ?
A
D > d
B
D < d
C
7D > 12d
D
None of the above
4
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Consider the binomial expansion of (p + qx)9 :

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

A
p
B
9p
C
$\frac{1}{\text{p}}$
D
p2
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