It's a Question of your Career!

Correct Answer: He killed his wife.

Solution : The correct choice is the third option.

Active voice is the voice where the subject performs the action. When converting a sentence from the passive voice to the active voice, the subject performs the action rather than the action received by the subject.

The structure of the active voice in the case of the simple past tense is: "Singular subject + past form of the verb + object."

Therefore, the sentence in the active voice is: "He killed his wife."

Correct Answer: 25

Solution : Given:
KITE is written as 9 and MAGIC is written as 11.

Multiply the total number of letters in the given word KITE by 2 and add 1 to the resultant number to obtain the required code –
The total number of letters in KITE is 4.
⇒ (4 × 2) + 1 = 8 + 1 = 9
Thus, KITE is coded as 9.
And, MAGIC is written as 11 –
The total number of letters in MAGIC is 5.
⇒ (5 × 2) + 1 = 10 + 1 = 11
Thus, MAGIC is coded as 11.
Similarly, follow the same pattern for FELICITATION –
The total number of letters in FELICITATION is 12.
⇒ (12 × 2) + 1 = 24 + 1 = 25

So, FELICITATION is coded as 25. Hence, the third option is correct.

Correct Answer: $\sec 3 \theta - \tan 3 \theta$

Solution : $\sqrt{\frac{1 – \sin 3 \theta}{1 + \sin 3 \theta}}$
= $\sqrt{\frac{(1 – \sin 3 \theta)(1 – \sin 3\theta)}{(1 + \sin 3\theta)(1 – \sin 3\theta)}}$
= $\sqrt{\frac{(1 – \sin 3\theta)^{2}}{1 – \sin^{2}3\theta}}$
= $\sqrt{\frac{(1 – \sin 3\theta)^{2}}{\cos^{2}3\theta}}$
= $\frac{1 - \sin 3\theta}{\cos 3\theta}$
= $\sec 3\theta  - \tan 3\theta$
Hence, the correct answer is $\sec 3\theta  - \tan 3\theta$.

Correct Answer: a widely remit and a wise legacy.

Solution : The correct choice is the second option.

The error lies in the use of "widely", which should be replaced with "wide". 

"Wide" functions as an adjective that helps modify the noun "remit", which means an area of responsibility and authority. This helps convey the intended meaning that the Supreme Court has a broad and comprehensive scope of authority.

Therefore, the correct sentence is: A key institution is the judiciary, especially the Supreme Court, with a wide remit and a wise legacy.

Correct Answer: investment

Solution : The correct answer is investment.

Any changes to a company's inventory are considered investments. For all inventories that are comparable and intended for use by the entity, a corporation must apply the same cost formula. Using the weighted average cost or Last-in First-out (LIFO) inventory valuation method may lead to differing values for the cost of sales and ending inventory for the inventory accounting system (periodic or perpetual).

Correct Answer: Finance Commission

Solution : The correct option is the Finance Commission.

According to the Indian Constitution, the Finance Commission holds the status of a constitutional entity. with its primary responsibility being to provide recommendations regarding the allocation of financial resources between the central government and state governments. The Planning Commission is categorized as a statutory body.

Correct Answer: 3

Solution : The correct choice is the third option.

Explanation: The phrase will highly appreciated should be replaced with will be highly appreciated to convey the intended meaning. The sentence uses the simple future tense in the passive voice as per the format object + will be + past participle form of the verb + by (agent of action), which is optional.

Therefore, the correct statement would be: "Chandra's good gestures will be highly appreciated."

Correct Answer: 1

Solution : Given: $\left (x+\frac{1}{x} \right)=5$
⇒ $\frac{x^2+1}{x}=5$
⇒ $x^2+1=5x$
Adding $x$ on both sides,
⇒ $x^2+1+x=5x+x$
⇒ $x^2+x+1=6x$
Now, put the value of $x^2+x+1=6x$ in the expression $\frac{6x}{x^{2}+x+1}$
So, $\frac{6x}{x^{2}+x+1}=\frac{6x}{6x}=1$
Hence, the correct answer is 1.

Correct Answer: PORQ

Solution : The third option is the correct answer.

It begins by introducing the subject, (P). Subsequently, it adds details about the manner in which this activity is conducted, (O). Moving on, the sentence highlights one of the positive outcomes, (R). Finally, it expands on the health benefits, (Q).

Therefore, the correct answer is: Engaging in physical activity on a regular basis can improve cardiovascular health, reduce the risk of chronic diseases, and boost mental health. 

Correct Answer: Tabla

Solution : The correct option is Tabla.

Ustad Alla Rakha Qureshi was a renowned Indian Tabla player. He was born on April 29, 1919, and passed away on February 3, 2000. Ustad Alla Rakha collaborated with many prominent musicians, including the famous Sitar player Ravi Shankar and his son, the Sitar virtuoso Ravi Shankar.