NDA 2016 Paper 2 | Sequence And Series Question 9 | Mathematics

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?

35/243

81/35

243/35

Cannot be determined

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?

8/5

9/5

11/5

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?

$$-$$4

$$-$$6

$$-$$8

$$-$$10

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?

One

Two

Three

Infinitely many

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