Correct Answer: 8 : 3

Solution : Let their radii be $x$ and $2x$ and their heights be $h$ and $H$ respectively.
According to the question,
$\frac{V_1}{V_2}=\frac{\frac{1}{3}\pi r_1^2 h_1}{\frac{1}{3}\pi r_2^2 h_2}$
⇒ $\frac{V_1}{V_2}=\frac{r_1^2 h_1}{r_2^2 h_2}$
⇒ $\frac{2}{3}=\frac{x^2 h}{(2x)^2 H}$
⇒ $\frac{2}{3}=\frac{x^2 h}{4x^2 H}$
⇒ $\frac{h}{H}=\frac{8}{3}$
Hence, the correct answer is

Correct Answer: 25

Solution : Given:

• Ramya's rank is 22nd out of 46 students.

This means that there are 21 students ahead of Ramya.

Then, Ramya's rank from the last is 46 – 21 = 25

Hence, the second option is correct.

Correct Answer: 1

Solution : Given:
180 B 36 C 5 A 8 D 32 = ?

On replacing the letters with mathematical signs, the equation becomes –
= 180 ÷ 36 × 5 + 8 – 32
= 5 × 5 + 8 – 32
= 25 + 8

Correct Answer: 38

Solution : Let the unit digit of the number be $y$ and the tens digit be $x$.
Number $= 10x$ + $y$
Product of digits $= x$ × $y = 24$ ---------------(i)
According to the question,
$10x+y+45 = 10y + x$
⇒ $9y-9x= 45$
⇒ $y-x =

Correct Answer: Tigers

Solution : The correct option is tigers.

Mudumalai Sanctuary is one of the prime tiger reserves in Southern India and forms part of the larger Nilgiri Biosphere Reserve. Besides tigers, Mudumalai is also home to a diverse range of wildlife including elephants, leopards, Indian bison (gaur), deer

Correct Answer: Ministry of Consumer Affairs, Food, and Public Distribution

Solution : The correct option is the Ministry of Consumer Affairs, Food, and Public Distribution.

The Bureau of Indian Standards (BIS) is a statutory body in India and operates under the aegis of the Ministry of Consumer Affairs, Food,

Correct Answer: your court

Solution : The correct choice is the first option "your court".

"Your court" is the correct choice to fill the blank with, as it helps in making the correct idiom, "the ball is in your court," which fits perfectly in the sentence. It implies that the

Correct Answer: 28

Solution : According to the question,
$(8-P)(9-P)=(6-P)(2-P)$
$⇒72+P^2-17P=12+P^2-8P$
$⇒9P=60$
$⇒P=\frac{20}{3}$
Mean proportion between $(3P - 6)$ and $(9P - 4)$
= $\sqrt{(3P - 6)(9P - 4)}$
= $\sqrt{(3×\frac{20}{3} - 6)(9×\frac{20}{3} - 4)}$
= $\sqrt{14×56}$
= $28$
Hence, the correct answer is 28.

Correct Answer: 7.2

Solution :

Given: $\triangle$ABC is similar to $\triangle$PQR.
The ratio of the perimeter of $\triangle$ABC and the perimeter of $\triangle$PQR is 24 : 16 and PQ = 4.8 cm.
Since, $\triangle$ABC is similar to $\triangle$PQR,
We know,
The ratio of similar sides of the two similar triangles

Correct Answer: XQPHD

Solution : Given:
Z_WVUSR_ _NMLKI_GF_CB

To fill the series we have to divide the series – Z / _WVU / SR_ _ / NMLK / I_GF / _CB
Let's check each option –
First option: YQOHD; Z / YWVU / SRQO / NMLK /