1
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
2
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is $\displaystyle\sum_{r=0}^n$2C(n, r) equal to ?
A
2n
B
3n
C
22n
D
32n
3
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
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 ratio of the coefficients of middle terms in the expansion (when expanded in ascending powers of x)?

A
pq
B
p/q
C
4p/5q
D
1/(pq)
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12