Correct Answer: cynicism

Solution : The correct choice is the second option.

Explanation: "Cynicism" refers to the belief that people are motivated purely by self-interest, often accompanied by a mocking or sneering attitude. In the context of the sentence, Rajib's habit of sneering at the beliefs of others reflects a cynical attitude, making "cynicism" the most suitable substitute.

The meanings of the other options are as follows:

• Manipulation means controlling or influencing others in a clever or unscrupulous way.
• Certainty means absolute assurance or conviction.
• Cleverness means intelligence or skill in a particular area.

Therefore, the correct answer is cynicism.

Correct Answer: A place of noise and disturbance

Solution : The correct choice will be the first option.

The idiom bear garden is used to describe a place that is disorderly, chaotic, and characterised by loud noise and commotion.
In the context of the given sentence, the use of the bear garden suggests that the accident site had turned into a noisy and chaotic environment as the day progressed.

Therefore, the correct answer will be a place of noise and disturbance.

Correct Answer: 21, 10, 78, 98

Solution : Given:
NOSE

Number representations of each letter –
N→02, 14, 21, 33, 40
O→03, 10, 22, 34, 41
S→59, 66, 78, 85, 97
E→55, 67, 79, 86, 98

First option: 21,10, 78, 98; All the letters of the word NOSE can be represented through this option.
Second option: 13, 22, 66, 56; N and E cannot be represented as 13 and 56 respectively.
Third option: 02, 34, 59, 68; E cannot be represented as 68.
Fourth option: 41, 42, 85, 86; N, O cannot be represented as 41 and 42 respectively.

So, NOSE can be represented by using the codes 21,10, 78, 98. Hence, the first option is correct.

Correct Answer: A big problem everyone is ignoring or afraid to talk about

Solution : The correct choice is the fourth option.

The idiom the elephant in the room is used to refer to a big, obvious problem or issue that everyone is avoiding or ignoring. In the given sentence, the child accuses a relative of inappropriate behaviour, but the parents choose to ignore or avoid addressing this significant issue, behaving as if nothing is wrong.

Therefore, the correct meaning is: "A big problem everyone is ignoring or afraid to talk about."

Correct Answer: $90^{\circ}$

Solution :
Given: Two circles touch each other externally at C, and $\angle CAB = 55^{\circ}$.
Tangents drawn from an exterior point to a circle have equal lengths.
PA = PC
⇒ $\angle PCA= \angle PAC=x$
Also, PC = PB.
⇒ $\angle PBC= \angle PCB=y$
In $\triangle ABC$,  $\angle ABC+ \angle ACB+ \angle BAC=180^{\circ}$.
⇒ $y+x+y+x=180^{\circ}$
⇒ $2(y+x)=180^{\circ}$
⇒ $y+x=90^{\circ}$
⇒ $\angle ACB=90^{\circ}$
Hence, the correct answer is  $90^{\circ}$.

Correct Answer: 14

Solution : Here, Number of cows = Number of herdsmen = X
Let the total no. of legs = L and the total no. of heads = H

A cow has 4 legs and a herdsman has 2 legs.
So, the total number of legs, L = 4X + 2X = 6X
Total number of heads, H = X + X = 2X

Now, according to the given statement, L = 4H – 28
⇒ 6X = 4 (2X) – 28
⇒ 6X = 8X – 28
⇒ 2X = 28
⇒ X = 14

So, the total number of herdsmen is 14. Hence, the fourth option is correct.

Correct Answer: Lactic Acid

Solution : The correct option is Lactic Acid.

Numerous reasons, such as the build-up of metabolic wastes like lactic acid, the exhaustion of energy stores (like ATP), faulty neurotransmitter communication, reduced oxygen delivery, and waste product accumulation, can cause muscle weariness. Inadequate rest, excessive muscle use, and insufficient recovery time in between activities might all be contributing factors.

Correct Answer: INR 1,680

Solution : Use :
Amount = P(1+ $\frac{r}{n}​)^{nt}$, where
r =  interest rate (decimal)
P = Principal
n = number of terms in a year
t =  time period
According to the question
Amount = P(1+ $\frac{r}{n}​)^{nt}$
Now,
⇒ Amount = 8000(1+ $\frac{0.20}{2}​)^{2 × 1}$
= 8000(1+ $0.10)^{2}$
= 8000 × 1.21  = 9680
Compound Interest  = Amount − Principal = 9680 − 8000 = INR 1,680
Hence, the correct answer is INR 1680.

Correct Answer: (4)

Solution : The correct answer is the fourth option "No Improvement" since the sentence is in the reported speech and doesn't need any change.

"They" is the correct plural pronoun that is used in the case of reported speech.

Thus, the correct statement is "He confidently asked the crowd if they thought he was right, and the crowd shouted that they did".

Correct Answer: South, 185 m

Solution : Firstly, we will draw the diagram as per the given instructions –

From the above diagram, the distance between her starting point and the endpoint = 100 + 85 = 185 m
As she can see her shadow now, that means she is facing the west direction (During the morning, the Sun is in the east direction and the shadow falls on the opposite side of the sun, i.e., the west direction.)
Now, on comparing her movement's direction frame with the general direction frame, it can be concluded that the entry gate of her house is facing the south direction.

So, the entry gate of her house faces the south direction and the distance from her current location to her home is 185 m. Hence, the first option is correct.