1
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information carefully and answer the questions given below.

Let a, x, y, z, b be in AP, where x + y + z = 15. Let a, p, q, r, b be in HP, where p$$-$$1 + q$$-$$1 + r$$-$$1 = 5/3.
What is the value of pqr?
A
35/243
B
81/35
C
243/35
D
Cannot be determined
2
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information carefully and answer the questions given below.

The sixth term of an AP is 2 and its common difference is greater than 1.
What is the common difference of the AP, so that the product of the first, fourth and fifth terms is greatest?
A
8/5
B
9/5
C
2
D
11/5
3
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information carefully and answer the questions given below.

The sixth term of an AP is 2 and its common difference is greater than 1.
What is the first term of the AP, so that the product of the first, fourth and fifth terms is greatest?
A
$$-$$4
B
$$-$$6
C
$$-$$8
D
$$-$$10
4
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information carefully and answer the questions given below.

The interior angles of a polygon of n sides are in AP. The smallest angle is 120$$^\circ$$ and the common difference is 5$$^\circ$$.
How many possible values can n have?
A
One
B
Two
C
Three
D
Infinitely many
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