Correct Answer: 16, 21 

Solution : Given:
1, 1, 6, 6, 11, 11, 16, ___, ___

Follow the pattern to find the missing term –

So, 16 and 21 are the missing terms in the series. Hence, the second option is correct.

Correct Answer: 30

Solution : From the given histogram, the number of students who obtained less than 200 marks is 30.
Hence, the correct answer is 30.

Correct Answer: 55 : 9

Solution : Number of employees in the marketing department = $\frac{24}{100} \times 800$ = 192
Total number of Males = 165
Total number of Females = 192 –165 = 27
∴ Required ratio = 165 : 27 = 55 : 9
Hence, the correct answer

Correct Answer: Study of ants

Solution : The correct answer is the Study of ants.

Myrmecology is a discipline of entomology that focuses on the scientific study of ants.
The scientific study of bees is known as Melittology.

Correct Answer: 100008

Solution : Given: Divisor = 108
The smallest six-digit number is 100000.
Divide 100000 by 108,
Quotient = 925, Remainder = 100
Required number = 100000 + (108 – 100) = 100008.
Hence, the correct answer is 100008.

Correct Answer: Aquarium

Solution : The correct option is the Aquarium.

Aquariums are controlled habitats that mimic underwater environments and often house aquatic plants and animals. While efforts are made to simulate natural circumstances, aquariums are frequently intended for public viewing and teaching, with a concentration on certain marine

Correct Answer: To make imaginary schemes

Solution : The correct answer is the third option.

The idiom "Build castles in the air" means to create elaborate and unrealistic plans, dreams, or schemes that are unlikely to be realised. It implies investing time and energy into ideas that are not grounded

Correct Answer: cock

Solution : The third option is correct.

Cock and bull story is an idiomatic expression that refers to a fabricated or unbelievable tale or explanation.
While fox and wolf are also animals, they do not collocate with the phrase cock and bull story.

Rooster is a

Correct Answer: 3

Solution : Use the formula below,
Simple Interest = $\frac{\text{Principal×Rate×Time}}{100}$
Let the number of years be $x$.
Simple Interest on Rs. 2600 at the Rate of $6\frac{2}{3}$% interest is,
= $\frac{2600×\frac{20}{3}×x}{100}$
= $\frac{520x}{3}$
= $x$ should be 3, 6, 9..... for the exact number.
So, the least

Correct Answer: –1

Solution : To solve $(a^{2}-ax)$, we first need to calculate the value of $a$:
$a= \frac{\sqrt{x+2}+\sqrt{x-2}}{\sqrt{x+2}-\sqrt{x-2}} \times \frac{\sqrt{x+2}+\sqrt{x-2}}{\sqrt{x+2}+\sqrt{x-2}} = \frac{2x+2\sqrt{x^2-4}}{4}= \frac{x+\sqrt{x^2-4}}{2}$
⇒ $2a=x+\sqrt{x^2-4}$
⇒ $2a-x=\sqrt{x^2-4}$
Squaring both sides, we have,
⇒ $4a^2+x^2-4ax=x^2-4$
⇒ $a^2-ax=-1$
Hence, the correct answer is –1.