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 their 10th terms ?
A
11/29
B
22/49
C
33/59
D
44/69
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)

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
3
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Let f(x) be a function satisfying f(x + y) = f(x) f(y) for all x, y ∈ N such that f(1) = 2 :

If $\displaystyle\sum_{x=2}^n$​f(x) = 2044, then what is the value of n ?

A
8
B
9
C
10
D
11
4
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Let x be the mean of squares of first n natural numbers and y be the square of mean of first n natural numbers. If $\frac{\text{x}}{\text{y}} = \frac{55}{42}$, then what is the value of n ?
A
24
B
25
C
27
D
30
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