Correct Answer: Only I

Solution : The correct answer is only I.

Solstice is the day when the Earth is tilted to its maximum towards the Northern or Southern side. In the Northern Hemisphere, the Winter Solstice is usually observed on December 21 or 22, whereas the summer solstice

Correct Answer: Bibliography

Solution : The first option is correct.

The most appropriate one-word substitution for the given group of words a list of source materials that are used or consulted in the preparation of a work or that are referred to in the text is bibliography.

A bibliography

Correct Answer: 126 km

Solution : The speed of a boat in still water = 20 km/hr
Speed of river = 8 km/hr
Upstream speed = 20 – 8 = 12 km/hr
Downstream speed = 20 + 8 = 28 km/hr
Let $x$ be the distance.
Time taken to cover

Correct Answer: $\frac{5}{1512}$

Solution : Let the number be 81$x$ and 81$y$ 
 81$x$ + 81$y$ = 1215
⇒ $x + y = \frac{1215}{81}$ = 15
 Pair of $x+ y$ = (1,14), (2,13), (4,11), and (7,8)
⇒ $x = 7$ and $y = 8$
First number = 81 × 7 =

Correct Answer: 461.58 cubic feet

Solution : The volume $V$ of a cone, where $r$ is the radius and $h$ is the height.
$V = \frac{1}{3} \pi r^2 h$
$= \frac{1}{3} \times 3.14 \times (7)^2 \times 9$
$= 461.58$
Hence, the correct answer is 461.58 cubic feet.

Correct Answer: 12

Solution : Given:
1, 5, ?, 22, 35

The difference between each consecutive term is increasing by 3 –
1 + 4 = 5
5 + (4 + 3) = 5 + 7 = 12
12 + (7 + 3) = 12 + 10 = 22
22

Correct Answer: 2,544

Solution : Let P be the principal.
We know, $\text{Total Amount}=\text{Principal}×(1+\frac{\text{Rate}}{100})^{\text{Time}}$
$\text{P}(1 +\frac{r}{100})^4$ = 7562 -----------------(1)
$\text{P}(1 +\frac{r}{100})^5$ = 8469.44  -------------(2)
Dividing (2) by (1) we get,
$(1 +\frac{r}{100}) = \frac{846944}{756200}$
$⇒\frac{r}{100} = 1.12 - 1$
$\therefore r = 12$
Compound Interest $=10,000 × [(1 + \frac{12}{100})^2

Correct Answer: 32.9 m

Solution :
Given, AB = 45 m
In $\triangle$ABC
$\tan$ 45° = $\frac{\text{AB}}{\text{BC}}$
⇒ 1 = $\frac{45}{\text{BC}}$
⇒ BC = 45 m
In $\triangle$ABD
$\tan 30° = \frac{\text{AB}}{\text{BD}}$
⇒ $\frac{1}{\sqrt{3}} = \frac{45}{\text{BD}}$
⇒ BD = $45\sqrt{3}$
Also, BD = CD + BC
⇒ $45\sqrt{3}$ = CD

Correct Answer: 2

Solution : Given:
$\frac{\sqrt{24}+\sqrt{216}}{\sqrt{96}}$
= $\frac{2\sqrt{6}+6\sqrt{6}}{4\sqrt{6}}$
= $\frac{8\sqrt{6}}{4\sqrt{6}}$
= $2$
Hence, the correct answer is 2.

Correct Answer: 5

Solution : A number is divisible by 9 if the sum of its digits is divisible by 9. 
Given a 4-digit number x58y, the sum of its digits is x + 5 + 8 + y = (x + y) + 13.
For the number to be