It's a Question of your Career!

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.

Correct Answer: $\frac{92}{11}\ \text{hours}$

Solution : Let the capacity of the tank be 120 units (LCM of 15, 20, and 40)
Pipe A fills = $\frac{120}{15}$ = 8 units per hour
Pipe B fills = $\frac{120}{15}$ = 6 units per hour
Pipe C empties = $\frac{120}{40}$ = 3 units per hour
A and B in 2 hours fill (8 + 6) × 2 units of the tank = 28 units of the tank
Remaining units of the tank to be filled = 120 – 28 = 92 units/hour
After 2 hours, C joins.
So, units of the tank filled by A, B, and C = (8 + 6 – 3) = 11 units/hour
So, the time needed to fill the remaining tank = $\frac{92}{11}$ hours
Hence, the correct answer is $\frac{92}{11}\ \text{hours}$.

Correct Answer: C

Solution : The correct option is Vitamin C.

Some vitamin C is lost when vegetables are washed. Because vitamin C is a water-soluble vitamin, it dissolves in water. When you wash vegetables, part of the vitamin C is washed away. The quantity of vitamin C lost during washing is determined by several factors, including the kind of vegetable, the length of time it is washed, and the temperature of the water. Leafy vegetables, such as spinach and kale, lose more vitamin C than root vegetables, such as carrots and potatoes.
 

Correct Answer: $50$%

Solution : Let the principal be Rs. $x$.
Rate of interest = R%
Time = 3 years
Amount = $3\frac{3}{8}=3.375x$
We know, $\text{Total amount}=\text{Principal}×(1+\frac{\text{Rate}}{100})^{\text{Time}}$
$⇒3.375x = x(1 + \frac{R}{100})^{3}$
$⇒3.375 =(1 + \frac{R}{100})^{3}$
$⇒(1 + \frac{R}{100})^{3} = (1.5)^{3}$
$⇒(1 + \frac{R}{100}) = (1.5)$
$⇒\frac{R}{100}=0.5$
$\therefore R=50$%
Hence, the correct answer is $50$%.

Correct Answer: fallen fallen

Solution : The correct answer is fallen fallen.

India is the most populous country in the world. According to the census 2011, both the birth rate and death rate have decreased over time in India. The crude birth rate in India in 1991 was 29.5 while it was 21.8 in the 2011 census, and the death rate came down to 7.1 in 2011 from 9.0 in 1991.

Correct Answer: 15

Solution : $14 : 30 :: 7 : x$
⇒ $\frac{14}{30}=\frac{7}{x}$
⇒ $x = \frac{7\times 30}{14}$
⇒ $x= 15$
Hence, the correct answer is 15.

Correct Answer: 50 cm

Solution : Semi-perimeter of a triangle $= (\frac{\text{Perimeter}}{2})$
= $\frac{100}{2}$
= 50 cm
Hence, the correct answer is 50 cm.