If tan x = \(\frac { -1 }{ \sqrt { 5 } } \) and x lies in the IV quadrant, then the value of cos x is ___________

(a)

\(\sqrt { \frac { 5 }{ 6 } } \)

(b)

\(\frac { 2 }{ \sqrt { 6 } } \)

(c)

\(\frac { 1 }{ 2 } \)

(d)

\(\frac { 1 }{ \sqrt { 6 } } \)

cos 35⁰ + cos 85⁰ + cos 155⁰ = _______________

(a)

0

(b)

\(\frac { 1 }{ \sqrt { 3 } } \)

(c)

\(\frac { 1 }{ \sqrt { 2 } } \)

(d)

cos 275⁰

The value of sin 20° sin 40° sin 60° sin18° is _______________

(a)

\(\frac{-3}{16}\)

(b)

\(\frac{3}{16}\)

(c)

\(\frac{5}{16}\)

(d)

\(\frac{-5}{16}\)

If (A + B) = \(\frac{\pi}{4}\), (cot A - 1) (cot B - 1) = _______________

(a)

0

(b)

-2

(c)

2

(d)

1

The value of tan^-1 (1) + cos^-1(\(\frac{-1}{2}\)) + sin^-1(\(\frac{-1}{2}\)) _______________

(a)

\(\frac{\pi}{4}\)

(b)

\(\frac{5\pi}{4}\)

(c)

\(\frac{3\pi}{4}\)

(d)

\(\frac{\pi}{2}\)

\(\frac { sin{ 10 }^{ o }-cos{ 10 }^{ o } }{ { cos }^{ o }+{ sin }10^{ o } } \) is _______________

(a)

tan 35^o

(b)

\(\sqrt{3}\)

(c)

tan 75^o

(d)

1

The number of ways to average the letters of the word CHEESE are _________

(a)

120

(b)

240

(c)

720

(d)

6

If ⁿP_r = 720, ⁿC_r = 120 then r is _________

(a)

2

(b)

4

(c)

3

(d)

5

The number of ways in which we can arrange 4 letters of the word "MATHEMATICS" is given by  _________

(a)

136

(b)

2454

(c)

1680

(d)

192

How many arrangements can be made out of letters of words "ENGINEERING"  _________

(a)

11!

(b)

\({{11!}\over{{(3!)}^{2}{(2!)}^{2}}}\)

(c)

\({{11!}\over{3!2!}}\)

(d)

\({{11!}\over{3!}}\)