Correct Answer: DCEB

Solution : Let's check the options –
First option: DCEB; There is only one vowel and three consonants in this option.
Second option: PNQST; This option contains five consonants and no vowels.
Third option: VKHGM; This option contains five consonants and no vowels.
Fourth option: WPZLH; This

Correct Answer: 60°, 40°, 80°

Solution : The sum of all angles of the triangle should be 180°.
From the above-given options, only option 2 satisfies the condition.
Option 2: 60°, 40°, 80°
Sum of angles = 60° + 40° + 80° = 180°
Hence, the correct answer is 60°,

Correct Answer: 2

Solution : We know: $\sin (90^{\circ} -A) = \cos A$ and $\sin^2 A+\cos^2 A = 1$
$\frac{\sin^2 32^{\circ}+\sin^2 58^{\circ}}{\cos^2 32^{\circ}+\cos^2 58^{\circ}}+\sin^2 53^{\circ}+\cos 53^{\circ} \sin 37^{\circ}$
= $\frac{\sin^2 32^{\circ}+\sin^2 (90-32)^{\circ}}{\cos^2 32^{\circ}+\cos ^2 (90-32)^{\circ}}+\sin^2 53^{\circ}+\cos 53^{\circ} \sin (90-53)^{\circ}$
= $\frac{\sin^2 32^{\circ}+\cos^2 32^{\circ}}{\cos^2 32^{\circ}+\sin^2 32^{\circ}}+\sin^2 53^{\circ}+\cos 53^{\circ} \cos 53^{\circ}$
=

Correct Answer: 29 : 22

Solution : Given:
$\frac{x}{y} = \frac{5}{2}$
⇒ $x= \frac{5y}{2}$
We have to find $\frac{8x+9y}{8x +2y}$
Putting the value of x in the above equation,
$\frac{8\times \frac{5y}{2}+9y}{8\times \frac{5y}{2} +2y} = \frac{4\times 5y+9y}{4\times 5y +2y} = \frac{20y+9y}{20y +2y}=\frac{29y}{22y} = \frac{29}{22}$
$\therefore$ The ratio is 29 : 22

Correct Answer: They were irresponsible in performing their duties.

Solution : The correct choice is the fourth option.

The sentence with no spelling error is: They were irresponsible in performing their duties.

The first option contains the incorrect spellings "iresponsible" and "duties" whereas the correct spellings are irresponsible and duties

Correct Answer: 18

Solution : The number of candidates qualified under the Arts discipline in 2010 = 19% of 900 = 171
The number of candidates qualified under the Arts discipline in 2011 = 18% of 850 = 153
$\therefore$ The decrease in the number of candidates qualified under the

Correct Answer: All of the above

Solution : The correct answer is All of the above.

The Presidential form of governance is distinguished by several characteristics. First of all, the President serves a fixed term, assuring steady leadership. Secondly, he is usually elected by public vote, which allows for democratic

Correct Answer: She requested her to pay attention to the details.

Solution : The correct choice is the fourth option.

Indirect speech conveys a report of something that was said or written rather than the exact words that were spoken or written.

The steps of conversion are as follows:

• The

Correct Answer: has grown rapidly

Solution : The correct choice is the second option.

Explanation:
The sentence should be in the present perfect tense ("has grown"), which correctly indicates an action that started in the past (since independence) and continues to the present moment. The auxiliary verb has should be

Correct Answer: 2

Solution : When the given folded paper is unfolded, it will look like –

Hence, the second option is correct.