NDA 2016 Paper 2 | Sequence And Series Question 13 | Mathematics

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$$^\circ$$.

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 $$\ln z$$

NDA 2016 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

Read the following information carefully and answer the questions given below.

Given that $${\log _x}y,\,{\log _z}x,\,{\log _y}z$$ are in GP, xyz = 64 and x³, y³ and z³ are in AP.

Which one of the following is correct?

x, y and z are

in AP only

in GP only

in both AP and GP

Neither in AP nor in GP

NDA 2016 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

Read the following information carefully and answer the questions given below.

Given that $${\log _x}y,\,{\log _z}x,\,{\log _y}z$$ are in GP, xyz = 64 and x³, y³ and z³ are in AP.

Which one of the following is correct?

xy, yz and zx are

in AP only

in GP only

in both AP and GP

Neither in AP nor in GP

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