Correct Answer: 392 cm²

Solution : Given: The height of the triangle = 56 cm, and the base = $\frac{1}{4}$ × 56 = 14 cm
Therefore, the area of the triangle
= $\frac{1}{2}$ × Height × Base
= $\frac{1}{2}$ × 56 × 14
= 392 cm²
Hence, the correct answer is 392 cm².

Correct Answer: Rani

Solution : Given:
Vidhi is sitting second to the left of Sriti and is in between Tania and Urusha.

(II) Sriti is not a neighbour to Rani or Tania.

So, Rani is sitting to the immediate right of Priti. Hence, the fourth option is correct.

Correct Answer: 64 km/hr

Solution : Let the distance of each trip be $d$.
For the first trip,
speed = 240 km/hr
$\therefore$ time = $\frac{d}{240}$
For the second trip,
speed = $\frac{240}{2}$ = 120 km/hr
$\therefore$ time = $\frac{d}{120}$
For the third trip,
speed = $\frac{120}{2}$ = 60 km/hr
$\therefore$ time = $\frac{d}{60}$
For the fourth trip,
speed = $\frac{60}{2}$ = 30 km/hr
$\therefore$ time = $\frac{d}{30}$
Average speed = $\frac{\text{total distance}}{\text{total time}}$
= $\frac{d+d+d+d}{\frac{d}{240}+\frac{d}{120}+\frac{d}{60}+\frac{d}{30}}$
= $\frac{4d}{\frac{15d}{240}}$
= $\frac{960}{15}$
= 64 km/hr
Hence, the correct answer is 64 km/hr.

Correct Answer: Neither conclusion follows

Solution : According to the given statements, the Venn diagram is –

Let us analyse the conclusions –
Conclusion I: All S are P – From the Venn diagram, it is evident that the circles representing S and P overlap and have a part of their area in common. So, it can be concluded that some S are P but all S are not P.
Conclusion II:. All L are S – It is a possibility that the circle representing L is completely overlapped by the circle representing S. But this is not definite. So, this conclusion does not follow.

So, neither conclusion follows. Hence, the second option is correct.

Correct Answer: 1 and 4

Solution : Given:
8 × 1 – 9 ÷ 3 + 4 = 30

Replace the given numbers according to the options one by one with the original numbers in the given equation.
First option: 4 and 3
Solving the L.H.S. of the equation –
= 8 × 1 – 9 ÷ 4 + 3
= 8 × 1 – 2.25 + 3
= 8 – 2.25 + 3
= 8.75 ≠ 30
Second option: 1 and 4
Solving the L.H.S. of the equation –
= 8 × 4 – 9 ÷ 3 + 1
= 8 × 4 – 3 + 1
= 32 – 3 + 1
= 30 = R.H.S.
Third option: 3 and 9
Solving the L.H.S. of the equation –
= 8 × 1 – 3 ÷ 9 + 4
= 8 × 1 – 0.34 + 4
= 8 – 0.34 + 4
= 11.67 ≠ ​​​​​​​30​​​​​​​
Fourth option: 8 and 4
Solving the L.H.S. of the equation –
= 4 × 1 – 9 ÷ 3 + 8
= 4 × 1 – 3 + 8
= 4 – 3 + 8
= 9 ≠​​​​​​​ ​​​​​​​30

So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.

Correct Answer: Meghalaya

Solution : The correct answer is Meghalaya.

Meghalaya, Assam, West Bengal, Mizoram and Tripura are the 5 states which share borders with Bangladesh. Meghalaya is a north-eastern state, which is famous for its rich biodiversity.

Correct Answer: Ravinder Singh

Solution : The correct answer is Ravinder Singh.

"I Too Had a Love Story" is an autobiographical novel penned by Ravinder Singh. Serving as the author's debut work, it was initially published in 2008 by Srishti Publishers. Later, in 2012, Penguin India republished the novel. Remarkably, the book sustained its status on India's best-seller list for over six years since its initial release.

Correct Answer: Dullness

Solution : The correct choice is the fourth option.

Glamour refers to charm, attractiveness, or fascination.
Dullness, as the antonym, signifies a lack of charm or excitement, something plain or uninteresting.

The meanings of the other options are as follows:

• Charm represents a quality of attractiveness or delight.
• Magnanimous refers to generosity or a noble spirit.
• An appeal indicates attraction or desirability.

Therefore, the correct answer is dullness.

Correct Answer: Rs. 7700

Solution : Previous price = Rs. 7000
Price increase = 10%
$\therefore$ New price = 7000 + (7000 × $\frac{10}{100}$) = 7000 + 700 = Rs. 7700
Hence, the correct answer is Rs. 7700.

Correct Answer: Mercury

Solution : The correct answer is Mercury.

Mercury is the smallest planet in our solar system. Our solar system consists of 8 planets. Mercury has a very thin atmosphere, almost negligible compared to Earth. The lack of a significant atmosphere contributes to the planet's extreme temperature variations. This planet has no satellites.