Correct Answer: UVX

Solution : Let's check the options –

First option: UVX; U + 1 = V; V + 2 = X
Second option: BCD; B + 1 = C; C + 1 = D
Third option: HIJ; H + 1 = I; I + 1 = J
Fourth

Correct Answer: than

Solution : The first option is the correct answer.

The sentence is making a comparison between two situations: standing at the North or South Pole and standing on the Equator. When making comparisons in English, we often use the word "than" to introduce the second part of

Correct Answer: $\frac{8}{27}$

Solution : Given: $p=\frac{5}{18}$
So, $27p^{3}–\frac{1}{216}–\frac{9}{2}p^{2}+\frac{1}{4}p$
Putting the value of $p=\frac{5}{18}$ in the expression,
= $27×(\frac{5}{18})^{3}–\frac{1}{216}–\frac{9}{2}×(\frac{5}{18})^{2}+\frac{1}{4}×\frac{5}{18}$
= $27×(\frac{125}{18×18×18})–\frac{1}{216}–\frac{9}{2}×(\frac{25}{18×18})+\frac{1}{4}×\frac{5}{18}$
= $\frac{125}{216}–\frac{1}{216}–\frac{25}{72}+\frac{5}{72}$
= $\frac{124}{216}–\frac{20}{72}$
= $\frac{124–60}{216}$
= $\frac{64}{216}$
= $\frac{8}{27}$
Hence, the correct answer is $\frac{8}{27}$.

Correct Answer: 75

Solution : Given:
18, 27, 31, 43, 44, 59, 57, ?

Follow the pattern to obtain the missing term –

So, 75 is the missing term in the given series. Hence, the fourth option is correct.

Correct Answer: 12 and 5

Solution : Firstly, we will draw the diagram as per the given instructions –

As we have the shortest distance provided in the question, so applying the Pythagoras theorem in the given options, we can find the values of X and Y.

Let's check the

Correct Answer: Daya Ram Sahni

Solution : The correct answer is Daya Ram Sahni.

The discovery of Harappa by Daya Ram Sahni in 1921 and the excavations conducted under the supervision of Sir John Marshal and Colonel Meke led to the discovery of the Indus Valley Civilisation. Mohenjo-daro, Ropar, and

Correct Answer: 7 : 3

Solution : Given: $21 \tan \theta=20$
⇒ $\tan \theta = \frac{20}{21}=\frac{\text{Perpendicular}}{\text{Base}}$
Let the perpendicular and the base be 20 units and 21 units respectively.
Use the formulas,
$\tan \theta=\frac{\text{Perpendicular}}{\text{Base}}$,
$\sin \theta=\frac{\text{Perpendicular}}{\text{Hypotenuse}}$,
$\cos \theta=\frac{\text{Base}}{\text{Hypotenuse}}$,
Pythagoras's theorem: $\text{Hypotenuse}^2=\text{Base}^2+\text{Perpendicular}^2$
⇒ $\text{Hypotenuse}^2={21}^2+{20}^2$
⇒ $\text{Hypotenuse}^2=441+400$
⇒ $\text{Hypotenuse}^2=841$
⇒ $\text{Hypotenuse}=\sqrt{841}$
⇒

Correct Answer: Gopal Krishna Gokhale

Solution : The correct option is Gopal Krishna Gokhale

Gopal Krishna Gokhale advocated in 1905 from the Congress platform for "swarajya," or self-government, inside the British Empire, based on the model of self-governing colonies like Australia and Canada. Prominent statesman and social reformer Gokhale was

Correct Answer: unparalleled

Solution : The correct choice is the second option.

Explanation: 

Unparalleled beauty means that the beauty of these destinations is unmatched. It suggests that these destinations are exceptionally beautiful and stand out.

Therefore, the complete sentence is: The State is home to several destinations of unparalleled

Correct Answer: 4

Solution : The correct choice is the fourth option.

The sentence is grammatically accurate and doesn't need any changes. The sentence conveys the idea that Vishal is capable of working out the issues easily.

Therefore, the given sentence requires no improvement.