Correct Answer: 179.67 cm³

Solution : The diameter of the sphere is equal to the side of the cube.
d = 7 cm
r = $\frac{7}{2}$ cm
The volume of a sphere $= \frac{4}{3}\pi r^3$
$V = \frac{4}{3}\pi \left(\frac{7}{2}\right)^3 = \frac{4×22}{3×7}× \frac{343}{8} = 179.67$
Hence, the correct answer is

Correct Answer: 7.5

Solution :
Let the height of the pole be h and the length of the shadow of the pole = base of the triangle = 18 m
In $\triangle$ABC,
⇒ $\cos \theta =\frac{\text{Base}}{\text{Hypotenuse}}$ = $\frac{12}{13}$
⇒ $\frac{18}{\text{Hypotenuse}}$ = $\frac{12}{13}$
$\therefore$ Hypotenuse = $\frac{18×13}{12}$ = $\frac{39}{2}$ m
Now,

Correct Answer: 5 : 6

Solution : Given: The ratios are given.
Convert the ratios in decimal form and find the greatest ratio.
Option first: 2 : 5
$\frac{2}{5}=0.4$
Option second: 7 : 10
$\frac{7}{10}=0.7$
Option third: 5 : 6
$\frac{5}{6}=0.8$
Option fourth: 1 : 3
$\frac{1}{3}=0.3$
The greatest number

Correct Answer: Annihilation of Caste

Solution : The correct option is the Annihilation of the Caste.

"Annihilation of Caste" is a significant work by B. R. Ambedkar. Originally conceived as a speech for the annual conference of a Hindu reformist group, it was later published as a pamphlet in

Correct Answer: 1, 2, 5, 3, 4

Solution : Given:
1. Pelvic 2. Pentagon 3. Permanent 4. Persistent 5. Perceive

Step 1: The first two letters of each word are the same, that is P and e.
Step 2: The third letter of each word is l, n, r, r,

Correct Answer: 36

Solution : Given: Working 7 hours a day, 18 persons can complete a certain work in 32 days.
Usse the formula, $M_1\times D_1 \times T_1=M_2\times D_2 \times T_2$, where $M_1$, $M_2$, $D_1$, $D_2$, $T_1$ and $T_2$ are the men, days and time respectively.
⇒ $18\times 32 \times

Correct Answer: Alauddin Humayun Shah Bahmani

Solution : The correct answer is Alauddin Humayun Shah Bahmani.

Alauddin Humayun Shah Bahmani was the Sultan of the Bahmani kingdom. He was also known as "Shah Zalim" or "Zalim", which means "Humayun Shah the cruel". He was known for executing people in tortuous

Correct Answer: 550

Solution : Given that $x + y + z = 10$, $xy + yz + zx = 25$, and $xyz = 100$.
Now, $(x + y + z)^2 = x^2 + y^2 + z^2 + 2(xy + yz + zx)$
$⇒100 = x^2 + y^2 + z^2

Correct Answer: Ritu is deficient in calcium.

Solution : The correct choice will be the second option.

The option in which all the words are spelt correctly is: Ritu is deficient in calcium.

Deficient: This word means lacking in a particular quality or quantity, especially in the context of nutrients

Correct Answer: 14:3

Solution : The correct answer is 14:3.

The mass ratio of nitrogen to hydrogen is 14:3. As a result, three hydrogen atoms and one nitrogen atom combine to form a molecule with a molecular weight of 17. Ammonia, or NH₃, is the formula of the compound