It's a Question of your Career!

Correct Answer: $\frac{1}{6}$

Solution : $\sin 10^{\circ}- \frac{4 }{ 3} \sin ^3 10^{\circ}$
$=\frac{1}{3}(3\sin 10^{\circ}- 4 \sin ^3 10^{\circ})$
$=\frac{\sin3(10^{\circ})}{3}$ [$\because \sin 3 \theta = 3\sin \theta - 4 \sin 3 \theta$]
$=\frac{\sin30^{\circ}}{3}$
$=\frac{\frac{1}{2}}{3}$
$=\frac{1}{6}$
Hence, the correct answer is $\frac{1}{6}$.

Correct Answer: reached

Solution : The correct choice is the second option.

The verb reach is a transitive verb, and it takes an object directly. Hence, the preposition used after the reached, which is the past form of the verb is not required, and thus should be omitted.

Therefore,

Correct Answer: None can be formed

Solution : In the 3D view of dice,
1. Each face out of the three faces in the 3D view should be from all the pairs.
2. Two opposite faces cannot appear adjacently in the 3D view of a folded cube figure. So, the

Correct Answer: (i)

Solution : We know, Single equivalent discount = $(a+b-\frac{a×b}{100}$)%, where $a$% and $b$% are successive discounts.
i) Two successive discounts of 15%:
The effective discount,
$= 15 + 15 - \frac{15×15}{100} = 27.75$%
ii) A discount of 20% followed by a discount of 10%:
The effective discount,

Correct Answer: UVFGOPTU

Solution : Given:
BULL : CDVWMNMN :: SHOT : TUIJPQUV :: TENS : ?

Add 1 and 2 to the place value of each letter of BULL, to obtain their related letter cluster –

Thus, BULL is related to CDVWMNMN.
And, SHOT : TUIJPQUV –

Thus, SHOT

Correct Answer: Guide

Solution : The correct answer is Guide.

Indian author R. K. Narayan published his English-language first book, The Guide, in 1958. The Sahitya Akademi, India's National Academy of Letters, awarded Narayan the 1960 Sahitya Akademi Award for English for the book. Like most of his works, this

Correct Answer: SGWTTIPTNR

Solution : Given:
SCOOTER : SGWSTIZ :: AEROPLANE : FPDPUUYMJ :: HELICOPTER : ?

Like, for SCOOTER; S + 7 = Z; C + 6 = I; O + 5 = T; O + 4 = S; T + 3 = W; E + 2 = G;

Correct Answer: $2y(x - 3y)$

Solution : Given expression,
$(x - 2y)(y - 3x) + (x + y)(x - y) + (x - 3y)(2x + y)$
= $xy-3x^2-2y^2+6xy+x^2-y^2+2x^2+xy-6xy-3y^2$
= $2xy-6y^2$
= $2y(x-3y)$
Hence, the correct answer is $2y(x-3y)$

Correct Answer: 189

Solution : Given expression, 
$\frac{\sqrt[3]{-2744} \times \sqrt[3]{-216}}{\sqrt[3]{\frac{64}{729}}}$
= $\frac{\sqrt[3]{-14\times-14\times-14}\times\sqrt[3]{-6\times-6\times-6}}{\sqrt[3]{\frac{4\times4\times4}{9\times9\times9}}}$
= $\frac{-14\times(-6)}{\frac{4}{9}}$
= $\frac{14\times6\times9}{4}$
= 189
Hence, the correct answer is 189.

Correct Answer: INR 200 bank cheque

Solution : The correct answer is an INR 200 bank cheque.

The government's money, known as fiat money, is not supported by tangible goods like gold or silver. Examples of fiat money are paper currency, coins, and demand drafts, but the INR 200