Correct Answer: 343

Solution : Given:
729 : 90 :: ? : 56 :: 512 : 72

Like, (729 : 90)→90 = 9 × 10; (9)³ = 729
(512 : 72)→72 = 8 × 9; (8)³ = 512
Similarly, follow the same pattern for (? : 56)→56 =

Correct Answer: Compulsory

Solution : The correct choice is the second option.

The meaning of "compulsory" is the thing that is mandatory or must be done. Additionally, the term "obligatory" refers to something that is not optional but rather required by law or rule. So, both words are quite

Correct Answer: 22

Solution : Given,
2 men and 7 women can complete a work in 28 days
6 men and 16 women can do the same work in 11 days
Use the following formula to solve the question:
$\frac{M_{1}\times D_{1}}{W_{1}}=\frac{M_{2}\times D_{2}}{W_{2}}$
Where $M_1$ and $M_2$ are men, $D_1$ and

Correct Answer: –1

Solution : Given: The distance between the points (4, 8) and $(k, –4)$ is 13.
Since we know that distance formula is $\sqrt{(x_2–x_1)^2+(y_2–y_1)^2}$.
$13=\sqrt{(k–4)^2+(–4–8)^2}$
Squaring both sides of the above equation, we get,
$13^2=(k–4)^2+(–4–8)^2$
⇒ $169=k^2+16–8k+144$
⇒ $k^2–8k–9=0$
⇒ $k^2–9k+k–9=0$
⇒ $k(k–9)+1(k–9)=0$
⇒ $(k–9)(k+1)=0$
⇒ $k=9,–1$
Hence,

Correct Answer: 52.33 cm²

Solution : Given:
The radius of the circle is 10 cm.
Sector is with an angle, $\theta$ = 60°.
Area of the sector = $\pi r^2× \frac{\theta}{360°}$
= $3.14×10^2× \frac{60°}{360°}$
= 52.33 cm²
So, the area of the sector is 52.33 cm².

Correct Answer: Sanjeev said, "I will surely succeed.

Solution : The correct choice is the second option.

Narration Conversion:

• The modal verb would is changed to will in the direct speech.
• The reporting verb said remains the same.
• The third-person pronoun he is changed to the first-person pronoun I.
• The

Correct Answer: $16 \frac{2}{3}$%

Solution : Given:
The cost price of 28 oranges equals the selling price of 24 oranges.
Let the selling price of 1 orange = Rs. 1
So, the cost price of 28 oranges = selling price of 24 oranges = 1 × 24 = 24
Selling

Correct Answer: 11

Solution : Given: Quantity of mixture = 55 litres
 The ratio of fruit juice and water = 4 : 1
Let $x$ litres water be added to make the mixture ratio 2 : 1.
Initial quantity of fruit juice = $\frac{55}{5}×4=44$ litres
Initial quantity of water =

Correct Answer: Sutlej

Solution : The correct option is - Sutlej

Water is transported by the Rajasthan Canal, from the Punjabi Beas and Sutlej rivers across a distance of 640 km. Indira Gandhi Canal is the new name for Rajasthan Canal and it is the longest canal in India.

Correct Answer: Henri Becquerel

Solution : The correct answer is Henri Becquerel 

Henri Becquerel Discovers Radioactivity. In one of the most well-known accidental discoveries in the history of physics, on an overcast day in March 1896, French physicist Henri Becquerel opened a drawer and discovered spontaneous radioactivity.

 Using a method