Correct Answer: Only conclusion (II) follows

Solution : The possible Venn diagram according to the given statements is as follows –

Let's analyse the conclusions –
Conclusion I: No books are keys – From the above diagram, it can be seen that there is no direct relation between books and keys. So, this conclusion does not follow.
Conclusion II: Some papers are keys – From the above diagram, we can see that the circle of papers and keys intersect and have some common area between them. So, this conclusion follows.

So, only conclusion II follows. Hence, the third option is correct.

Correct Answer: Why are you eating the rotten apple?

Solution : The correct answer is the fourth option.

Explanation: In English, when transforming a sentence from passive to active voice, it is crucial to switch the positions of the subject and the object and use the appropriate active verb form. Active voice is the voice in which the subject is the doer

Here, the correct structure in the case of the interrogative present continuous tense is; "Interrogative word + are + subject+ v1+ing + object?"

So, the correct sentence would be: "Why are you eating the rotten apple?"

Correct Answer: R

Solution : Given:
A, C, F, K, ?

In the given series, add consecutive prime numbers to the place value of the letters –
A + 2 = C; C + 3 = F; F + 5 = K; K + 7 = R

So, the missing term is R. Hence, the third option is correct.

Correct Answer: Mahatma Gandhi               

Solution : Given:
Dadabhai Naoroji, Bal Gangadhar Tilak, Lala Lajpat Rai, ?

The order of age of the given freedom fighters is as follows –
Dadabhai Naoroji (04.09.1825) > Bal Gangadhar Tilak (23.07.1856) > Lala Lajpat Rai (28.01.1865)
Let's check the given options –
First option: Mahatma Gandhi→(02.10.1869)
Second option: Jawaharlal Nehru→(14.11.1889)
Third option: Subhash Chandra Bose→(23.01.1897)
Fourth option: Bhagat Singh→(28.09.1907)

So, Mahatma Gandhi is the missing term of the given series. Hence, the first option is correct.

Correct Answer: Table : Furniture

Solution : Given:
Car : Vehicle :: ? (This depicts the relation between things and the category they belong to. Like, a car is a type of vehicle.)

Let's check each option –
First option: Table : Furniture; Table is a type of furniture.
Second option: Profession : Teaching; Teaching is a type of profession but, the order is reversed.
Third option: Figure : Triangle; Triangle is a type of figure but, the order is reversed.
Fourth option: Stationery : Pen; Pen is a type of stationary but, the order is reversed.

So, only the first option follows the same pattern as followed by the given pair. Hence, the first option is correct.

Correct Answer: standard

Solution : The correct choice is the fourth option.

Standard means a level of quality or attainment, and is the appropriate word to fill the blank with, as it helps in correctly conveying the intended meaning that the work of the secretary is of a certain level of quality.

The meanings of the other options are as follows:

• Condition means the state of something.
• Degree means the extent or scope of an action or a condition.
• Capacity means the potential or suitability for storing or holding something.

Therefore, the correct sentence is: I'm very pleased with my new secretary. Her work is of a high standard.

Correct Answer: (2)

Solution : The correct answer is the second option.

"Where" should be replaced with "when" to convey the intended meaning that the speaker learnt about the robbery as soon as they reached the exhibition. "Hardly...when" is the correct correlative conjunction to be used in the sentence.

Therefore, the correct sentence is: "Hardly had I reached the exhibition when I learnt about the major robbery."

Correct Answer: 40 m

Solution :
Let $AB$ be the tower and $CD$ be the pole.
$CD = BE = 10$ m
In $\triangle BCE$,
$\tan$ 30° = $\frac{10}{CE}$
⇒ $\frac{1}{\sqrt3}$ = $\frac{10}{CE}$
⇒ $CE = 10\sqrt3$
In $\triangle ACE$,
$\tan$ 60° = $\frac{h}{CE}$
⇒ $\sqrt3$ = $\frac{h}{10\sqrt3}$
⇒ $h$ = 30
So, the height of tower = 30 + 10 = 40 m
Hence, the correct answer is 40 m.

Correct Answer: D, B, E, A, C

Solution : The third option is correct.

• The sentence starts with (D) to introduce the action of Nishit's thinking.
• (B) follows to specify what Nishit is thinking about, which is the terrible traffic.
• (E) comes next to provide the result of his thinking, which is that he will surely have to deal with it.
• (A) is then used to explain what he will have to deal with, which is the traffic.
• The sentence ends with (C) to provide the context, which is on his way to work.

Hence, the correct order to form a meaningful sentence is D, B, E, A, C.

Correct Answer: 47

Solution : Given:
5 ÷ 8 + 4 × 2 – 9

After interchanging + and –, and × and ÷, the equation becomes –
= 5 × 8 – 4 ÷ 2 + 9
= 5 × 8 – 2 + 9
= 40 – 2 + 9
= 47

So, 47 is the required answer. Hence, the third option is correct.