Correct Answer:

Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of all the option figures, the given question figure is embedded only in the second option figure.

Hence, the second option is correct.

Correct Answer: 300

Solution : Here, P = INR 12,300
R = 12%
T = from 22 May 1993 to 2 August 1993 (both days are included)
May = (31 – 22 + 1) days = 10 days
June = 30 days
July = 31 days
August = 2 days
Total time = 10 + 30 + 31 + 2 = 73 days
In years, total time = $\frac{73}{365}$ year
Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$
⇒ Simple interest = $\frac{12300\times 12\times 73}{100\times 365}$
⇒ Simple interest = $\frac{29520}{100}\approx$ INR 300
Hence, the correct answer is 300.

Correct Answer: 8%

Solution : Given: List price = Rs. 1,500
Net price = Rs. 1,242
1st discount = $\frac{10}{100} × 1500$
= 150
Price after 1st discount = 1500 – 150 = 1,350
Difference between price after 1st discount and net price = 1350 – 1242 = 108
2nd discount = $\frac{\text{Difference}}{\text{Price after 1st discount}}×100$
= $\frac{108}{1350}×100$
= 8%
Hence, the correct answer is 8%.

Correct Answer: 50

Solution : Let the cost price of 1 article be P.
Since the profit percent is 20%, the selling price of 1 article is 1.2P.
Given that the cost price of 60 articles is equal to the selling price of $x$ articles.
⇒ 60 × P = $x$ × (1.2P)
⇒ $x$ = 50
Hence, the correct answer is 50.

Correct Answer: To show indifference

Solution : The correct choice is the first option.

Explanation: The idiom "throw cold water on" is an expression used to convey the act of discouraging or dampening enthusiasm or excitement about an idea or plan. The first option, "to show indifference", accurately captures this sense of cooling down or showing a lack of interest or enthusiasm.

Correct Answer: 57

Solution : Given:
66 A 3 D 11 B 43 C 48 D 12 = ?

After replacing the letters with the mathematical signs, we get –
= 66 × 3 ÷ 11 + 43 – 48 ÷ 12
= 18 + 43 – 4
= 61 – 4
= 57

So, 57 is the answer to the given equation. Hence, the first option is correct.

Correct Answer: 28

Solution : The correct answer is 28.

There are 28 states and 8 Union Territories in India as of 2022. The youngest State formed was Telangana in 2014. From 31st October 2019, Jammu and Kashmir state was bifurcated into two union territories: Jammu and Kashmir and Ladakh. Now there are eight union territories, which are Jammu and Kashmir, Ladakh, Chandigarh, Delhi, Puducherry, Andaman and Nicobar, Dadra and Nagar Haveli, Daman and Diu and Lakshadweep.

Correct Answer: 52

Solution : Given: $t^2 - 4t + 1 = 0$
⇒ $t^2 + 1 = 4t$
⇒ $\frac{t^2 + 1}{t} = 4$
⇒ $t + \frac{1}{t} = 4$
On cubing both sides,
$(\frac{t + 1}{t})^3 = 4^3$
Using identity: $(a+b)^{3}=a^{3}+b^{3}+3ab(a+b)$,
We get: $t^3 + \frac{1}{t^3} + 3(t+\frac{1}{t})= 4^3$
⇒ $ t^3 + \frac{1}{t^3}+3(4)=64$
⇒ $t^3 + \frac{1}{t^3}= 64-12=52$
Hence, the correct answer is 52.

Correct Answer: in front of him

Solution : The correct choice is the fourth option.

The phrase "right at the front of him" indicates the location where the friends were exchanging notes, emphasising their proximity to the invigilator. A suitable option to substitute this segment could be "right in front of him," as the "in" preposition is the correct usage to indicate the position of an object that is in front of him.

Therefore, the correct sentence is: The invigilator did not know that the four friends were exchanging notes right in front of him.

Correct Answer: i, iii, iv, ii

Solution : Given:
i. Examination ii. Explicit iii. Expenditure iv. Experience