1
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next items that follow:

Let a1, a2, a3 ... be in AP such that a+ a+ a10 + a15 + a20 + a25 + a30 + a34 = 300.

What is a+ a- a10 - a15 - a20 - a25 + a30 + a34 equal to ?
A
0
B
25
C
125
D
250
2
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next items that follow:

Let a1, a2, a3 ... be in AP such that a+ a+ a10 + a15 + a20 + a25 + a30 + a34 = 300.

What is $\displaystyle \sum_{n=1}^{34} a_n$ equal to ?
A
900
B
1025
C
1200
D
1275
3
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next items that follow:

Let $\rm p=\cos \left(\frac{\pi}{5}\right) \cos \left(\frac{2 \pi}{5}\right) $ and $\rm q=\cos \left(\frac{4 \pi}{5}\right) \cos \left(\frac{8 \pi}{5}\right)$.

What is the value of p + q?
A
$-\frac{1}{2}$
B
$-\frac{1}{4}$
C
0
D
$\frac{1}{2}$
4
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next items that follow:

Let $\rm p=\cos \left(\frac{\pi}{5}\right) \cos \left(\frac{2 \pi}{5}\right) $ and $\rm q=\cos \left(\frac{4 \pi}{5}\right) \cos \left(\frac{8 \pi}{5}\right)$.

What is the value of pq?
A
$-\frac{1}{16}$
B
$-\frac{1}{4}$
C
$\frac{1}{4}$
D
$\frac{1}{16}$
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