NDA 2016 Paper 2 | Sequence And Series Question 11 | Mathematics

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

NDA 2016 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

What is the largest interior angle of the polygon?

160$$^\circ$$ only

195$$^\circ$$ only

Either 160$$^\circ$$ or 195$$^\circ$$

Neither 160$$^\circ$$ nor 195$$^\circ$$

NDA 2016 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

If $${x^{\ln \left( {{y \over z}} \right)}}.{y^{\ln {{(xz)}^2}}}.{z^{\ln \left( {{x \over y}} \right)}} = {y^{4\,\ln \,y}}$$ for any x > 1, y > 1 and z > 1, then which one of the following is correct?

$$\ln y$$ is the GM of $$\ln x$$, $$\ln x$$, $$\ln x$$ and $$\ln z$$

$$\ln y$$ is the AM of $$\ln x$$, $$\ln x$$, $$\ln x$$ and $$\ln z$$

$$\ln y$$ is the HM of $$\ln x$$, $$\ln x$$, $$\ln x$$ and $$\ln z$$

$$\ln y$$ is the AM of $$\ln x$$, $$\ln x$$, $$\ln z$$ and $$\ln z$$

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