Correct Answer: 23 : 15

Solution : The ratio of the ages of father to his son = 5 : 3
Let the age of the father = $5x$
The age of the son = $3x$
Product of their ages = 960
⇒ $(5x)(3x) = 960$
⇒ $15x^2 = 960$

Correct Answer: Maharashtra

Solution : The correct option is Maharashtra

Maharashtra accounts for around half of all the land in India that is used for jowar cultivation, with Karnataka, Andhra Pradesh, Tamil Nadu, and Maharashtra being the top four states in terms of production. Bajra: It is cultivated in areas

Correct Answer: QBWV

Solution : Given:
P_RSPG_SP_LSPM_S

To fill the series we have to divide it – P_RS / PG_S / P_LS / PM_S
Let's check each option –
First option: CWZO; PCRS / PGWS / PZLS / PMOS (No, repeated pattern

Correct Answer: 45°

Solution :
In a circle with centre O and diameter EF, if the two chords AE = AF, then they form an isosceles triangle.
Also, we know that the angle in a semicircle is 90°.
$⇒\angle EAF = 90°$
Let $\angle AEF = \angle AFE = x$

Correct Answer: To reduce differences and reconcile.

Solution : The correct choice is the fourth option.

To bridge the gap means to connect two things or make the difference between them smaller, which is correctly given in the fourth option, which states, "to reduce differences and reconcile".

Correct Answer: South-westerly

Solution : The correct answer is South-westerly.

The southeast trade winds are caused by the warm subtropical areas of the southern oceans. They blow in a south-westerly direction as they pass the equator. The Coriolis effect and Ferrel's law are the primary causes of these trade winds.

Correct Answer: Three

Solution : Given:
JOURNAL 

When the letters of JOURNAL are arranged in alphabetical order, the letter cluster formed is AJLNORU.
The letter which is fourth from the left is N. (AJLNORU)
The letter which is second from the right is R. (AJLNORU)
Letters

Correct Answer: $\frac{2^{256}-1}{3}$

Solution : $(2^2 + 1) (2^4 + 1) (2^8 + 1) (2^{16} + 1) ........ (2^{128} + 1)$
Divide by $(2^2 - 1)$ in numerator and denominator
= $\frac{1}{(2^2 - 1)}[(2^2 - 1)(2^2 + 1) (2^4 + 1) (2^8 + 1) (2^{16} + 1) ........ (2^{128} +

Correct Answer: 52 cm

Solution :
In a rhombus, the diagonals bisect each other at right angles.
Therefore, we can form a right-angle triangle using half of each diagonal as the sides. 
Let the half diagonals as $a$ and $b$.
$⇒a = \frac{10}{2} = 5 \text{ cm}$
$⇒b = \frac{24}{2}

Correct Answer: 7760

Solution : The winning candidate got 42680 votes, which was 55% of the total valid votes.
The total valid votes = $\frac{42680}{0.55}$ = 77600 votes
The candidate who stood third received only 10% of the total valid votes.
The number of valid votes received by the third