Correct Answer: INR 2 lakh

Solution : The correct option is INR 2 lakh.

The amount of insurance coverage available for accidental death under the Pradhan Mantri Suraksha Bima Yojana (PMSBY) is INR 2 lakh. The PMSBY is a government-backed insurance scheme that provides accidental death and disability coverage at an affordable premium.

Correct Answer: 15 overs/h

Solution : The correct option is 15 overs/h.

In Test cricket, the International Cricket Council (ICC) has set a minimum required over rate of 15 overs per hour. According to the ICC playing conditions, if a team fails to meet this required overrate, they may face penalties, including fines for the captain and potential suspension for repeat offences.

Correct Answer: $2 \sqrt{5}$

Solution : Given: 
$a-\frac{1}{a}=4$
Squaring both sides, we get,
⇒ $a^2+\frac{1}{a^2}-2=16$
⇒ $a^2+\frac{1}{a^2}=16+2$
⇒ $a^2+\frac{1}{a^2}=18$
Adding 2 on both sides, we get,
⇒ $a^2+\frac{1}{a^2}+2=18+2$
⇒ $(a+\frac{1}{a})^2=20$
$\therefore a+\frac{1}{a}=2\sqrt5$
Hence, the correct answer is $2\sqrt5$.

Correct Answer: $\frac{\sqrt3}{2}$

Solution : $\frac{\tan\theta +\cot\theta }{\tan\theta -\cot\theta }=2$
Use rule of componendo and dividendo i.e. If $\frac{a}{b}=\frac{c}{d}$ then, $\frac{a+b}{a-b}=\frac{c+d}{c-d}$. we have,
⇒ $\frac{\tan\theta +\cot\theta +\tan\theta -\cot\theta}{\tan\theta +\cot\theta -\tan\theta +\cot\theta}=\frac{2+1}{2-1}$
⇒$\frac{2\tan\theta}{2\cot\theta} = 3$
⇒ $\tan^2\theta=3$
⇒ $\sin^2\theta= 3\cos^2\theta$
⇒ $\sin^2\theta= 3(1-\sin^2\theta)$
⇒ $4\sin^2\theta= 3$
⇒ $\sin\theta=\frac{ \sqrt3 }{2}$
Hence, the correct answer is $\frac{ \sqrt3 }{2}$.

Correct Answer:

Solution : In the 3D view of dice,
1. Each face out of the three faces in the 3D view should be from all the pairs.
2. Two opposite faces cannot appear adjacently in the 3D view of a folded cube figure.
So, the opposite pairs of faces are as follows –

(6 ⇔ 4), (3 ⇔ 1), and (5 ⇔ 2) are the opposite pairs of faces.

Thus,

is possible and will be formed by folding the dice. Hence, the second option is correct.

Correct Answer: (2)

Solution : The error is in the second option: eat his meat.

The part "and eat his meat" contains an error. The possessive adjective "his" is used to indicate that something belongs to or relates to a male and is not used with the plural form of animals. Instead, the plural pronoun "their" is used in the correct context to match the plural noun "animals".

Therefore, the correct sentence should be "The lions kill the animals and eat their meat".

Correct Answer: Manipuri

Solution : The correct answer is Manipuri.

Kumari Laitjonam Ebampisok Devi, a Manipuri dance maestro from Hojai, received the Kalaguru Bishnu Rabha Award in 2019. The award was presented by Chief Minister Sarbananda Sonowal at a ceremony held on June 20 in Rongjuli, Goalpara district, as part of the Bishnu Rabha Divas.

Correct Answer: $-\frac{2}{3}$

Solution : $5 \frac{1}{3}-\left\{4 \frac{1}{3}+\left(3 \frac{1}{3} \div \overline{2 \frac{1}{3}-\frac{1}{3}}\right)\right\}$
$=\frac{16}{3}-\left\{ \frac{13}{3}+\left( \frac{10}{3} \div \overline{\frac{7}{3}-\frac{1}{3}}\right)\right\}$
$=\frac{16}{3}-\left\{ \frac{13}{3}+\left( \frac{10}{3} \div 2\right)\right\}$
​​​​​​​$=\frac{16}{3}-\left\{ \frac{13}{3}+( \frac{5}{3})\right\}$
​​​​​​​$=-\frac{2}{3}$
Hence, the correct answer is ​​​​​​​$-\frac{2}{3}$.

Correct Answer: 149

Solution : If the remainder in each case is the same.
7306 – 6454 = 852
8797 – 7306 = 1491
8797 – 6454 = 2343
HCF of 852, 1491, and 2343:

HCF = 213
So, the greatest number, $d$ = 213

Remainder, $r$ = 64
$\therefore d - r$ = 213 – 64 = 149
Hence, the correct answer is 149.

Correct Answer: MAQYV

Solution : Given:
CAGES is written as NADYB.

Subtract consecutive natural numbers from the place values of each letter of CAGES and then reverse them to get the required code –
C – 1 = B; A – 2 = Y; G – 3 = D; E – 4 = A; S – 5 = N
BYDAN→NADYB
Thus, CAGES is coded as NADYB.
Similarly, follow the same pattern for WATER –
W – 1 = V; A – 2 = Y; T – 3 = Q; E – 4 = A; R – 5 = M
VYQAM→MAQYV

Thus, WATER is coded as MAQYV. Hence, the first option is correct.