1
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
How many terms are there in the expansion of (3x - y)4(x + 3y)4 ?  
A
9
B
12
C
15
D
17
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 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
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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