It's a Question of your Career!

Correct Answer: decentralisation

Solution : The Correct Answer is-   decentralisation

People can participate in their own government through the Panchayati Raj System. The first tier or level of democratic government is known as the Panchayati Raj System. India's Panchayat Raj System aims to create democracy at the local level.  The

Correct Answer: 11 km/hr

Solution : Time = 5 hr 30 minutes = 5.5 hours
Distance = Speed $\times$ Time $=8\times5.5=44$ km
According to the question,
The same distance is covered by cycle in 4 hours.
$\therefore$ Speed of the cycle $=\frac{44}{4}=11$ km/hr
Hence, the correct answer is 11 km/hr.

Correct Answer: (2)

Solution : The correct choice to improve the sentence is the second option.

Explanation: This option corrects the verb tense and structure in the sentence. It uses "would have" to indicate a past unreal condition, which matches the use of "if I had requested him to do

Correct Answer: against

Solution : The correct choice to fill in the blanks is the first option.

"Guard against" means to take careful action in order to try to prevent something from happening, and in the context of the sentence, it implies taking careful measures to prevent spelling mistakes.

Therefore,

Correct Answer: 27.71 cm²

Solution : Given: The side of an equilateral triangle = 8 cm
So, the area of the equilateral triangle = $\frac{\sqrt3 a^2}{4}$
= $\frac{\sqrt3× 8^2}{4}$
= $16\sqrt3$
= 16 × 1.732
= 27.71 cm²
Hence, the correct answer is 27.71 cm².

Correct Answer: Thailand

Solution : The correct answer is Thailand.

Thailand qualified for a Women's T20 World Cup competition for the first time. Following the end of the qualification round, Bangladesh was assigned to Group A, while Thailand was assigned to Group B. Thailand's participation in the ICC Women's T20

Correct Answer: Banking of roads

Solution : The correct option is the Banking of roads.

A construction method known as road banking is used to make curving roads safer for vehicles to travel on at faster speeds. The road surface can be carefully tilted to raise the outer edge

Correct Answer: setback

Solution : The correct choice is the fourth option.

All the spellings, except sitback, have been spelt correctly. In this spelling, 'i' should be replaced with 'e'.

Setback: It means a reversal or check in progress.

Therefore, the correct answer is setback.

Correct Answer: $2-\sqrt{3}$

Solution : Given that $\cos \left(2 \theta+54^{\circ}\right)=\sin \theta$ and $0^{\circ}<\left(2 \theta+54^{\circ}\right)<90^{\circ}$
$⇒\cos \left(2 \theta+54^{\circ}\right)=\cos(90^{\circ}-\theta)$
Solving for $\theta$,
$⇒ \left(2 \theta+54^{\circ}\right)= (90^{\circ}-\theta)$
$⇒3 \theta=36^{\circ}$
$⇒\theta=12^{\circ}$
$⇒\tan 5 \theta=\tan \left(60^{\circ}\right)=\sqrt{3}$
$⇒\operatorname{cosec} \frac{5 \theta}{2}=\operatorname{cosec} \left(30^{\circ}\right)=2$
Now, $\frac{1}{\tan 5 \theta+\operatorname{cosec}\frac{5 \theta}{2}}$
$=\frac{1}{\sqrt{3}+2}$
$=\frac{1}{\sqrt{3}+2}\times\frac{2-\sqrt{3}}{2-\sqrt{3}}$
$=2-\sqrt{3}$
Hence, the correct answer is $2-\sqrt{3}$.

Correct Answer: (36, 223, 6)

Solution : Given:
(17, 126, 7); (31, 286, 9)

Here, (17, 126, 7)→(17 × 7) + 7 = 119 + 7 = 126
(31, 286, 9)→(31 × 9) + 7 = 279 + 7 = 286

Let's check each option –
First option: (29, 270,