Correct Answer: Vembanad Lake – Maharashtra

Solution : The correct option is Vembanad Lake – Maharashtra.

Vembanad is a prominent lake in the southern Indian state of Kerala, not Maharashtra. The lake is situated in Alappuzha, Kottayam, and Ernakulam and spans several towns and villages along its shores.

Correct Answer: BGLQ

Solution : Given:
EJOT : ? :: YDIN : VAFK

Subtract 3 from the place value of YDIN to obtain the required code –
Y – 3 = V; D – 3 = A; I – 3 = F; N – 3 = K
Thus, YDIN is

Correct Answer: $-1$

Solution : Given:
$\tan (\alpha+\beta)=\sqrt{3}=\tan 60^{\circ}$
$\tan (\alpha-\beta)=1=\tan 45^{\circ}$
⇒ $\alpha+\beta=60^{\circ}$
and $\alpha-\beta=45^{\circ}$
⇒ $2\alpha=105^{\circ}$
⇒ $\alpha=\frac{105}{2}^{\circ}$
⇒ $6\alpha=6×\frac{105}{2}^{\circ}=315^{\circ}$
Now, $\tan 6\alpha$
= $\tan 315^{\circ}$
= $\tan (360^{\circ}-45^{\circ})$
= $-\tan45^{\circ}$
= $-1$
Hence, the correct answer is $-1$.

Correct Answer: –3

Solution : Given:
+ means ÷, ÷ means –, – means ×, × means +.
24 + 8 ÷ 2 – 6 × 6 = ?

After interchanging the symbols according to the question, the equation becomes –
= 24 ÷ 8 – 2 × 6 +

Correct Answer: $4 \sqrt{3}$

Solution : Given: ABC is an equilateral triangle.
The area of the triangle is $36 \sqrt{3}$.
The area of the equilateral triangle $=\frac{\sqrt3}{4}\times (s)^2$, where $s$ is the sides of the triangle.
The radius of the circle circumscribing the equilateral triangle $=\frac{s}{\sqrt3}$.
⇒ $\frac{\sqrt3}{4}\times (s)^2= 36

Correct Answer: 810

Solution : Marked Price on a book = INR 1,000
Successive discounts of 12% and 8%
For two successive discounts Selling price = $\frac{100-\text{Discount}_1\%}{100}× \frac{100-\text{Discount}_2\%}{100}×$ marked price
Selling Price = $\frac{88}{100}$×$\frac{92}{100}$×1,000 = 809.6 $\approx$ INR 810
Hence, the correct answer is 810.

Correct Answer: would

Solution : The third option is the most appropriate answer.

We often use would to make requests. It is a more polite and indirect form of will.

The meanings of the other options are as follows:

Can is used for informal permission or capacity.

Should suggests an

Correct Answer: Crowded

Solution : The correct answer is the first option.

Crowded refers to a place or area filled with a large number of people or things, suggesting a lack of solitude or loneliness. In the context of the sentence, if the streets are crowded, they are not lonely.

Correct Answer: 154 m²

Solution : Given, the volume of a sphere is $179 \frac{2}{3} = \frac{539}{3}$
Volume of a sphere with radius, $r$ = $\frac{4}{3}\pi r^3$
⇒ $\frac{4}{3}\pi r^3=\frac{539}{3}$
⇒ $\frac{4}{3}\times \frac{22}{7}\times r^3=\frac{539}{3}$
⇒ $r^3=\frac{49\times 7}{4\times 2}$
$\therefore r=\frac{7}{2}$ m
Surface area = $4\pi r^2$
= $4\times \frac{22}{7}\times

Correct Answer: Bombay

Solution : The correct option is Bombay.

The first session of the Indian National Congress was held in Bombay (now Mumbai) in 1885. Session at Gokuldas Tejpal Sanskrit College, now known as Elphinstone College.