It's a Question of your Career!

Correct Answer: 82

Solution : Given:
21 : 3 :: 574 : ?

Like, 21 : 3→21 ÷ 7 = 3
Similarly, for 574 : ?→574 ÷ 7 = 82

So, 574 is related to 82. Hence, the second option is correct.

Correct Answer: economic development

Solution : The correct answer is economic development.

The "Bombay Plan" was a unique economic plan created by a group of business leaders and experts in January 1944 for India. At first, it was just shared privately among a few people. However, due to the

Correct Answer: 2

Solution : Taking dice positions 1 and 2 with 1 as the common face.

Moving clockwise from the common face with 1 –

So, the opposite pairs are –

Therefore, the opposite face of the C is 2. Hence, the second option is correct.

Correct Answer: 21

Solution : According to the question,
$\frac{3a+4b}{2}>50$
$\Rightarrow3a+4b>100$
$\Rightarrow3a+\frac{4a}{2}>100 (\because a = 2b)$
$\Rightarrow3a+2a>100$
$\Rightarrow5a>100$
$\Rightarrow a>20$
$\therefore$ Minimum value of $a = 21$
Hence, the correct answer is 21.

Correct Answer: 68.6

Solution : The sum of 10 numbers is 686.
$\therefore$ The average of these 10 numbers $=\frac{\text{Sum of all the observations}}{{\text{Total number of observations}}}=\frac{686}{10}= 68.6$
Hence, the correct answer is 68.6.

Correct Answer: with

Solution : The correct choice is the third option.

The preposition with is the correct choice in this sentence because it is used to indicate the manner in which someone adjusts or accommodates himself. In this case, with suggests that she is trying to adapt to her

Correct Answer: 240

Solution : Let the numbers be x and y.
So, x³ – y³ = 6272 and (x – y) = 8
Cubing both sides of the given expression, (x – y) = 8,
⇒ (x – y)³ = 8³
⇒ x³ –

Correct Answer: 60°, 40°, 80°

Solution : The sum of all angles of the triangle should be 180°.
From the above-given options, only option 2 satisfies the condition.
Option 2: 60°, 40°, 80°
Sum of angles = 60° + 40° + 80° = 180°
Hence, the correct answer is 60°,

Correct Answer: South

Solution : In the evening, the Sun will be in the West direction and the shadow will fall in the East direction. So, according to the information, the diagram will be as follows –

Now, the direction and distance diagram according to the question is as

Correct Answer: 2

Solution : We know: $\sin (90^{\circ} -A) = \cos A$ and $\sin^2 A+\cos^2 A = 1$
$\frac{\sin^2 32^{\circ}+\sin^2 58^{\circ}}{\cos^2 32^{\circ}+\cos^2 58^{\circ}}+\sin^2 53^{\circ}+\cos 53^{\circ} \sin 37^{\circ}$
= $\frac{\sin^2 32^{\circ}+\sin^2 (90-32)^{\circ}}{\cos^2 32^{\circ}+\cos ^2 (90-32)^{\circ}}+\sin^2 53^{\circ}+\cos 53^{\circ} \sin (90-53)^{\circ}$
= $\frac{\sin^2 32^{\circ}+\cos^2 32^{\circ}}{\cos^2 32^{\circ}+\sin^2 32^{\circ}}+\sin^2 53^{\circ}+\cos 53^{\circ} \cos 53^{\circ}$
=