Correct Answer: 6

Solution : Given: The sum of a twice a number and thrice its reciprocal is $\frac{25}{2}$.
Let the number be $x$.
According to the question,
$2x+\frac{3}{x}=\frac{25}{2}$
$\Rightarrow 4x^2+6=25x$
$\Rightarrow 4x^2-25x+6=0$
$\Rightarrow 4x^2-24x-x+6=0$
$\Rightarrow (4x-1)(x-6)=0$
$\Rightarrow (4x-1)=0$ or $(x-6)=0$
$\Rightarrow x=6$ or $\frac{1}{4}$
After checking the options, we

Correct Answer: Unwise

Solution : The correct choice is the second option.

The word judicious means having, showing, or done with good judgment or sense.

Unwise means not sensible, which makes it the correct antonym.

The meanings of the other options are as follows:

• A criminal is someone who

Correct Answer: meteorology

Solution : The correct answer is meteorology.

The study of the atmosphere, atmospheric phenomena, and the influences of the atmosphere on our weather is known as meteorology. A flaming rock hurtling through space is referred to as a meteor in modern times, which is also the root

Correct Answer: 15

Solution : The angle subtended by an arc at the centre = $84^\circ$
Length of given arc = 22 cm
Let the radius of the circle be $r$.
We know, length of arc = $\frac{\theta}{360^\circ}\times 2\pi r$
As per given condition,
$\frac{84^\circ}{360^\circ}\times 2 \pi r = 22$

Correct Answer: FCB

Solution : Let's check the options –
First option: SRP; S – 1 = R; S – 3 = P
Second option: JIG; J – 1 = I; J – 3 = G
Third option: HGE; H – 1 = G; H – 3 = E
Fourth

Correct Answer: $12$ cm

Solution :

Given: The base of a right pyramid is an equilateral triangle.
Side of a triangle $AB = 10\sqrt3$ cm
The total surface area of a pyramid $= 270\sqrt3$ cm²
$\therefore$ Inradius of a triangle $OE = \frac{\text{side of equilateral triangle}}{2\sqrt3}$
= $\frac{10\sqrt3}{2\sqrt3}=5$ cm

Correct Answer: 297

Solution : Assuming the fourth proportion is $x$.
15 : 55 :: 81 : $x$
⇒ $\frac{15}{55}$ = $\frac{81}{x}$
⇒ $x$ = $\frac{81×55}{15}$
⇒ $x$ = 297
Hence, the correct answer is 297.

Correct Answer: Both I and II

Solution : The correct option is Both I and II.

Large dams often lead to the displacement of communities, including peasants and tribals, due to the inundation of land. This can result in social problems, as the affected people may be displaced without adequate

Correct Answer: 50

Solution : Given:
(10 C 4) A (4 C 4) B 6 = ?

On replacing the letters with mathematical signs, the equation becomes –
= (10 × 4) + (4 × 4) – 6
= 40 + 16 – 6
= 50

Hence, the second option

Correct Answer: Frictional unemployment

Solution : The correct option is Frictional unemployment.

Frictional unemployment, also known as search unemployment, occurs when workers lose their current jobs and are in the process of finding another one. This type of unemployment is often temporary and occurs due to the natural transitions