Correct Answer: North-East

Solution : Given:
Sonal stands to the north of Amar and to the west of Mahi.

Therefore, Mahi stands North-East of Amar. Hence, the third option is correct.

Correct Answer: Only II

Solution : Given:
× and +, 7 and 4
I. 7 × 8 + 4 – 6 ÷ 3 = 57
II. 4 × 8 – 9 ÷ 3 + 7 = 3

Replacing the given numbers and signs in the options one by one with

Correct Answer: Malwa

Solution : The correct answer is Malwa.

The Malwa Plateau geologically refers to the volcanic highland north of the Vindhya Range. It is connected to both the west and east drainage systems.

Correct Answer: wherever

Solution : The correct choice is the first option.

Explanation: "Wherever" is the appropriate word here, indicating that a sincere person consistently generates goodwill in any place or situation they find themselves in. It signifies a broad range of locations or circumstances.

Therefore, the correct sentence

Correct Answer: Celebrate

Solution : The third option is the correct answer.

Lament means to complain or express grief. A word that is appropriately opposite in meaning is celebrate, which means to acknowledge a happy day or event with an enjoyable activity.

The meanings of the other options are as

Correct Answer: Five

Solution : The correct answer is Five.

As of 2022, India shares its border with Bangladesh through five Indian states. These states are:

1. West Bengal
2. Assam
3. Meghalaya
4. Tripura
5. Mizoram

These states are located along the northeastern and eastern borders of India and share a boundary with

Correct Answer: 174 runs

Solution : Let the lowest score in one inning be $x$ runs.
Highest score in an inning = ($x$ + 172) runs
The average of 40 innings = 50 runs
⇒ Total runs in 40 innings = 40 × 50 = 2000
The average of the

Correct Answer: 2

Solution : Given: $(1+\sec20°+\cot70°)(1 – \operatorname{cosec}20°+\tan70°)$
= $(1+\sec20°+\tan20°)(1-\operatorname{cosec}20°+\cot20°)$
= $(1+\frac{1}{\cos20°}+\frac{\sin20°}{\cos20°})(1–\frac{1}{\sin20°}+\frac{\cos20°}{\sin20°})$
= $(\frac{\cos20°+1+\sin20°}{\cos20°})(\frac{\sin20°–1+\cos20°}{\sin20°})$
= $\frac{(\sin20°+\cos20°)^{2}–1^{2}}{\cos20°\sin20°}$
= $\frac{\sin^{2}20°+\cos^{2}20°+2\sin20°\cos20°–1}{\cos20°\sin20°}$
= $\frac{2\sin20°\cos20°}{\cos20°\sin20°}$
= $2$
Hence, the correct answer is 2.

Correct Answer: $112 \sqrt{3}$

Solution : Given, $x+\frac{1}{x}=-14$
Squaring both sides, we get,
⇒ $x^2+\frac{1}{x^2}+2=196$
⇒ $x^2+\frac{1}{x^2}=196-2=194$
Subtracting 2 from both sides, we get,
$x^2+\frac{1}{x^2}-2=194-2$
⇒ $(x-\frac{1}{x})^2=192$
⇒ $x-\frac{1}{x}=-\sqrt{192}$ [as $x<-1$]
Now $x^2-\frac{1}{x^2}$
$=(x-\frac{1}{x})(x+\frac{1}{x})$
$=(-\sqrt{192})\times (-14)$
$=8\sqrt3\times 14 = 112\sqrt3$
Hence, the correct answer is $112\sqrt3$.

Correct Answer: 6 metres

Solution : Given: The angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower.
$ \angle C$ and $ \angle D$ are complementary.
We know that $\tan\theta=\frac{\text{Perpendicular}}{\text{Base}}$ and $\tan