Correct Answer: 6 : 25

Solution : Here, we have,
$\frac{p}{q} =\frac{4}{5}, \frac{q}{r} =\frac{3}{4}, \frac{r}{s} = \frac{2}{5}$
Now first, take 
$\frac{p}{q} =\frac{4}{5}$ and $\frac{q}{r} =\frac{3}{4}$
As q is common in both. So, it should be equal for both 
Multiply $\frac{p}{q}$ by 3 and $\frac{q}{r}$ by 5
$So,\frac{p}{q} =\frac{4×3}{5×3}$ and $\frac{q}{r}=\frac{3×5}{4×5}$

Correct Answer: $\left[\frac{1}{80}\right]$

Solution : Given:
$\left[\frac{1}{97}\right]:\left[\frac{1}{63}\right]::\left[\frac{1}{114}\right] :?:: \left[\frac{1}{89}\right]:\left[\frac{1}{55}\right]$

Subtract 34 from the denominator of the first number, to obtain the second number –
Like, $\left[\frac{1}{97}\right]:\left[\frac{1}{63}\right]$→$\left[\frac{1}{97-34}\right] = \left[\frac{1}{63}\right]$
And, $\left[\frac{1}{89}\right]:\left[\frac{1}{55}\right]$ → $\left[\frac{1}{89-34}\right]=\left[\frac{1}{55}\right]$
Similarly, follow the same pattern for $\left[\frac{1}{114}\right]$ –
⇒ $\left[\frac{1}{114-34}\right]=\left[\frac{1}{80}\right]$

So, $\left[\frac{1}{80}\right]$ is the required number in the

Correct Answer: Pataliputra

Solution : The correct answer is Pataliputra

King Ashoka organised the third Buddhist council, which took place in Pataliputra in 250 B.C. Moggaliputta Tissa presided over the council. This assembly led to the expulsion of heretics and the establishment of Theravada as the orthodox school.

Correct Answer: 740

Solution : Market tax = 26%
The income from the market tax in a year = INR 260 crores
So, 26% is equivalent to INR 260 crores.
⇒ (100 – 26) = 74% is equivalent to $\frac{260×74}{26}$ = 740 crores
Hence, the correct answer is 740.

Correct Answer: 6%

Solution : Given: Time = $6\frac{1}{4}$ = $\frac{25}{4}$ years
Simple Interest = $\frac{3}{8}\text{P}$
According to the question
SI = $\frac{\text{P×R×T}}{100}$, where $P$ is principal, $T$ is time in years and $R$ is the rate of interest per annum.
⇒ $\frac{3}{8}\text{P}$ = $\frac{\text{P×R×25}}{100×4}$ 
⇒ $\text{R}$ = 6%
Hence,

Correct Answer: basketball

Solution : The correct answer is basketball

In basketball, dribbling is the authorized technique of continuously bouncing the ball on the floor using one hand at a time. This skill enables players to maintain possession of the ball while in motion, whether walking or running and is

Correct Answer:

Solution : Given:
There are 70 students in a class out of them, 50 students like cricket, 35 like both cricket and football and some like only football.

While considering one circle for cricket and another circle for football, we can say that 35 will be in the

Correct Answer:

Solution : According to the given figures –
1. The shapes are increased by 1 in each box from the first figure to the end.
2. The shapes are increased by adding one side in the shape as a circle changes to a three-sided figure; triangle, triangle changes

Correct Answer: indolent

Solution : The correct choice is the third option.

Industrious is used to describe someone who is hard-working and diligent.

Indolent is used to describe someone who is lazy and avoids exertion. This makes it the correct antonym for "industrious".

The meanings of the other options

Correct Answer: $3\sqrt{5}$

Solution :
Given: AB = 12 and AC = 8
Let CD = $a$.
We know that,
$AC×AD = AB^2$
⇒ $8×(8+a) = 12^2$
⇒ $64+8a = 144$
⇒ $8a = 80$
$\therefore a = 10$
So, CD = 10
Now, in $\triangle ABD, \angle B =