It's a Question of your Career!

Correct Answer: 36

Solution : Given:
$4^{10}\times7^{3}\times16^{2}\times11\times10^{2}$
Rewrite this equation with the prime factors.
$(2^{2})^{10}\times7^{3}\times(2^{4})^{2}\times11\times2^{2}\times5^{2}$
= $2^{20+8+2}\times7^{3}\times11^{1}\times5^{2}$
= $2^{30}\times7^{3}\times11^{1}\times5^{2}$
Total number of prime factors = 30 + 3 + 1 + 2 = 36
Hence, the correct answer is 36.

Correct Answer: 28°

Solution : Given: Three angles of a triangle are (2y + 40°), (5y – 60°), and (3y – 80°).
We know that the sum of all three angles of a triangle is 180°.
Then, (2y + 40°) + (5y – 60°) + (3y – 80°) = 180°

Correct Answer: for

Solution : The third option is the correct choice.

• The phrase sue for means to initiate a legal action against someone in a court of law, which fits perfectly in the sentence.
• Other options, like of, on, and to do not convey the intended meaning, are

Correct Answer: 20 years

Solution : Let the sum be P.
Total amount after 10 years = 2P
Simple Interest in 10 years = 2P – P = P
If total amount = 3P,
Simple Interest = 2P
Using the unitary method,
Since, in 10 years interest is P
Therefore,

Correct Answer: Indian Council for Cultural Relations

Solution : The correct answer is Indian Council for Cultural Relations.

The Indian Council for Cultural Relations (ICCR) administers the Jawaharlal Nehru Award for International Understanding, which was created in 1965. Individuals are recognized for their extraordinary contributions towards the advancement

Correct Answer: 2.5

Solution : Let the 10 consecutive integers be $x, (x + 1), (x+2), (x+3), (x+4), (x+5), (x+6), (x+7), (x+8),(x+9)$
Average $=\frac{x+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)+(x+6)+(x+7)(x+8)(x+9)}{10} = \frac{11}{2}$
⇒ $10x + 45 = \frac{11}{2} × 10$
⇒ $10x = 55 - 45$
⇒ $x = \frac{10}{10} = 1$
The Smallest four integers

Correct Answer: Progressive

Solution : The correct option is Progressive.

In a progressive tax system, the marginal tax rate is higher than the average tax rate. As a taxpayer's income increases, they move into higher tax brackets where the rate applied to each additional dollar of income is higher

Correct Answer: 1905

Solution : The correct option is 1905.

India House was established by Shyamji Krishna Varma in 1905 in London. India House became a meeting place for Indian students and activists. In 1909, this house was closed.

Correct Answer: 3

Solution : Given that:
$p^3 + 3p^2 + 3p = 7$
Adding unity to both sides,
$p^3 + 3p^2 + 3p + 1 = 7 + 1$
⇒ $(p+1)^3 = (2)^3$
⇒ $p+1=2$
⇒ $p = 1$
$\therefore p^2 + 2p = 1 + 2 \times 1

Correct Answer:

Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection.
Here, according to the information provided, the mirror is placed on the right side of the figure (on line NM). So, the left side of the reflected image will appear