Correct Answer: 20

Solution : Pipe A can do 1 unit work = $\frac{1}{12}$ minutes                                   
Pipe B can do 1 unit work = $\frac{1}{15}$ minutes 
Pipe C can do 1 unit work = $-\frac{1}{x}$ minutes
Together they can fill the tank = $\frac{1}{10}$ minutes
Total work = Efficiency × days

Correct Answer: 64 – 81

Solution : Let's check the options –
First option: 16 – 32→16 × 2 = 32
Second option: 20 – 40→20 × 2 = 40
Third option: 64 – 81→64 × 2 = 128 ≠ 81
Fourth option: 81 – 162→81 × 2 = 162

Correct Answer: 63

Solution : Given:

In the first column, 8 × 6 = 48 → 48 ÷ 3 = 16 

In the second column, 4 × 9 = 36 → 36 ÷ 3 = 12 

In the

Correct Answer: subject

Solution : The third option is the correct choice.

In this context, the word subject refers to the topic or matter being discussed or considered. If the person's face revealed signs of being disturbed, the speaker decided to drop or avoid discussing that particular subject to prevent

Correct Answer: $300$

Solution : Given: $\sqrt{\frac{a}{b}}-13=-\sqrt{\frac{b}{a}}-11$
⇒ $\sqrt{\frac{a}{b}} +\sqrt{\frac{b}{a}} = -11 + 13 = 2$
Squaring both sides,
${\frac{a}{b}} +{\frac{b}{a}}+2 = 4$
⇒ ${\frac{a}{b}} +{\frac{b}{a}} = 2$
⇒ ${\frac{a}{b}} = 1$ and since $a+b=10$
So, $a=b=5$
So, $3ab + 4a^2 + 5b^2 = 3 × 25 + 4 ×

Correct Answer: Liberty of thought, expression, belief, faith, and worship

Solution : The correct answer is Liberty of thought, expression, belief, faith, and worship.

The preamble is the introductory part of the constitution that explains the constitution’s philosophy and objectives. The Preamble states that we, the people of India, have

Correct Answer: Terylene

Solution : The correct answer is Terylene.

Polyester fibres, such as terylene, are produced by a chemical reaction called condensation polymerization. This process combines ethylene Glycol and Terephthalic acid (Dimethyl terephthalate) to create a polymer chain with repeating units. Ethylene glycol plays an important role in the

Correct Answer: 8200

Solution : Students placed in all companies in the year 2014 = 19.3 + 13.4 + 13.4 + 11.8 + 7.8 = 65.7 thousands
Students placed in all companies in the year 2012 = 12.6 + 9.8 + 10.4 + 14.9 + 9.8 = 57.5 thousands
$\therefore$

Correct Answer: (3)

Solution : The error lies in the third part of the sentence.

When describing the act of walking, it's more appropriate to use the phrase "by walking" instead of "by walk". The gerund form of the verb "walk" i.e., "walking" should be used.

Therefore, the correct

Correct Answer: REPRIEVE

Solution : Given:

DEPRECIATE

First option: PEACE;

All the letters of the above word are present in the given word DEPRECIATE.

Second option: REPRIEVE; 

The letter R is present two times and V is present once in the above word. But, the letter R is present only