1
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
p, q, r and s are in AP such that p + s = 8 and qr = 15. What is the difference between largest and smallest numbers ?  
A
6
B
5
C
4
D
3
2
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following statements for a fixed natural number n:

1. C(n, r) is greatest if n = 2r

2. C(n, r) is greatest if n = 2r - 1 and n = 2r + 1 

Which of the statements given above is/are correct ?

A
1 only 
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
3
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
m parallel lines cut n parallel lines giving rise to 60 parallelograms. What is the value of (m + n) ? 
A
6
B
7
C
8
D
9
4
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Let x be the number of permutations of the word ‘PERMUTATIONS’ and y be the number of permutations of the word ‘COMBINATIONS’. Which one of the following is correct ? 
A
x = y 
B
y = 2x
C
x = 4y
D
y = 4x
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