It's a Question of your Career!

Correct Answer: 4

Solution : The prime factors of 76050 are 2, 3, 5, and 13.
76050 = 2¹ × 3² × 5² × 13²
So, 76050 is not divisible by 4 out of the given options.
Hence, the correct answer is 4.

Correct Answer: 1st July

Solution : The correct answer is 1st July.

Van Mahotsav Day is celebrated every year in the first week of July that is, from July 1 to July 7. It was initiated in 1950 by K. M. Munshi, then Union Minister of Agriculture and Food, to

Correct Answer: 3

Solution : The error is in part (R) marked by the third option.

Explanation:

In this sentence, "such as" is used instead of "like" to convey the idea that luck is an example or type of thing, rather than a similarity. Such as is used for giving

Correct Answer: rainfall

Solution : The correct option is - rainfall

The maximum and minimum temperatures, temperature range, total and seasonal distribution of precipitation, and other factors are used to classify the climatic zones. The most well-known classification scheme was initially created by Wladimir Koppen based on these parameters.

Correct Answer: –2197

Solution : $\frac{r}{13}+\frac{13}{r}=1$
We know that if $x+\frac{1}{x} = 1$, then $x^3 = -1$
Let $\frac{r}{13} = x$
The equation becomes,
$x+\frac{1}{x} = 1$
⇒ $x^2-x+1=0$
$x^3+1^3=(x+1) (x^2-x+1)$
⇒ $x^3+1^3 =0$
⇒ $x^3 = -1$
⇒ $(\frac{r}{13})^3 = -1$
⇒ $r^3 = -2197$
Hence, the correct answer

Correct Answer: $1$

Solution : Given: $x+y = 2z$
Now, $\frac{x}{x-z}+\frac{z}{y-z}$
$= \frac{x(y-z)+z(x-z)}{(x-z)(y-z)}$
$= \frac{xy−xz+zx−z^2}{xy−xz−zy+z^2}$
$= \frac{xy−z^2}{xy−z(x+y)+z^2}$
$= \frac{xy−z^2}{xy−z(2z)+z^2}$
$= \frac{xy−z^2}{xy−z^2}$
$= 1$
Hence, the correct answer is $1$.

Correct Answer: 4 : 5 : 11

Solution : P invests $\frac{1}{5}$th of the total investment.
Q invests $\frac{1}{4}$th of the total investment.
Taking, LCM (4, 5) = 20
Let the total investment be Rs. 20
P invests $\frac{1}{5}$th of the total investment = $\frac{1}{5}\times 20$ = Rs. 4
Q

Correct Answer: Sodium

Solution : The correct option is Sodium

Sodium is an element with a higher atomic number than fluorine. Sodium has an atomic number of 11 and Fluorine's atomic number is 9. 

Correct Answer: 77088

Solution : The prime factorization of the given numbers is:
$96  = 2^5 \times 3 $
$132  = 2^2 \times 3^1 \times 11^1 \\$
$438  = 2^1 \times 3^1 \times 73^1$
Now, identify the highest powers of each prime factor:
It is $2^5$,$3^1$,$11^1$, and $73^1$
Multiply these

Correct Answer: Conversion of neutrons into protons

Solution : The correct answer is the Conversion of neutrons into protons.

The release of an enormous amount of energy in an atomic bomb explosion is caused by the conversion of neutrons into protons. When a neutron collides with the nucleus of