Correct Answer: Herbert Spencer

Solution : The correct option is Herbert Spencer 

According to Herbert Spencer's "Social Statics" (1851), the state is the progeny of evil and carries all the characteristics of its ancestors. It exists as a result of crime. Herbert Spencer, a British philosopher and sociologist, was a

Correct Answer: Vincent Smith

Solution : The correct answer is Vincent Smith.

Akbar founded the Din-i Ilahi religion in 1582. Birbal was reportedly the only Hindu supporter of that initiative, but it failed because the people were not interested in this. Author Vincent Smith referred to the Din-i Ilahi

Correct Answer: Rs. 1,250

Solution : Given:
A man bought a watch at a 10% discount. If he had bought it at a 20% discount, he would have gotten the watch for Rs. 125 less.
Here (20 – 10) = 10% is equivalent to Rs. 125
So 100% is equivalent

Correct Answer: 2525

Solution : Given: $\left (x+\frac{1}{x} \right)=5$
Squaring both sides, we get,
$⇒\left (x+\frac{1}{x} \right )^{2}=5^{2}$
$⇒x^{2}+\frac{1}{x^{2}}+2=25$
$⇒x^{2}+\frac{1}{x^{2}}=23$
Also, $\left ( x+\frac{1}{x} \right )^{3}=5^{3}$
$⇒x^{3}+\frac{1}{x^{3}}+3(x)(\frac{1}{x})(x+\frac{1}{x})=125$
$⇒x^{3}+\frac{1}{x^{3}}+3(1)(5)=125$
$⇒x^{3}+\frac{1}{x^{3}}=110$
Now, $(x^{3}+\frac{1}{x^{3}})( x^2+\frac{1}{x^2})=x^{5}+\frac{1}{x^{5}}+x+\frac{1}{x}$
$⇒110\times 23=x^{5}+\frac{1}{x^{5}}+5$
$\therefore x^{5}+\frac{1}{x^{5}} = 2525$
Hence, the correct answer is 2525.

Correct Answer: 7 years

Solution : Given, Principal Amount, $P$ = Rs. 10200
The amount received after interest = Rs. 19125
Rate of interest, $R$ = 12.5%
Let the time taken for the amount to become Rs. 19125 be $T$ years 
Simple interest here = Rs. (19125 – 10200) =

Correct Answer: Both P and Q will reach at the same time

Solution : Two runners P and Q run in a circular track of length with speeds 6 m/s and 10 m/s.
The time they meet for the first time $=\frac{\text{Length of Circular Track}}{\text{Relative Speed}}$
$= \frac{500}{10 + 6}

Correct Answer: Secondary pollutant

Solution : The correct option is secondary pollutant.

Chemically, peroxyacetyl nitrate has the formula C₂H₃NO₅ It is a major contributor to smog and a secondary pollutant. Through a sequence of chemical processes involving volatile organic chemicals, nitrogen oxides, and sunlight, peroxyacetyl

Correct Answer: 0

Solution : Given: $a+b+c = 0$
Solution:
$\frac{1}{(a+b)(b+c)}+\frac{1}{(b+c)(c+a)}+\frac{1}{(c+a)(a+b)}$
Taking the LCM, we get
= $\frac{(c+a)+(a+b)+(b+c)}{(a+b)(b+c)(c+a)}$
= $\frac{2(a+b+c)}{(a+b)(b+c)(c+a)}$
Substituting the value of $(a+b+c)$ in the equation:
= $\frac{2\times 0}{(a+b)(b+c)(c+a)}$
= 0
Hence, the correct answer is 0.

Correct Answer: Only conclusion III follows

Solution : According to the given statements, the following Venn diagram can be drawn –

Let's check each conclusion –
Conclusion I: Some houses are factories – As per the above Venn diagram, it is clear that there is no direct relation between houses

Correct Answer: Megasthenes

Solution : The correct option is Megasthenes.

The author of Indica, an account of India under the reign of the Maurya dynasty, was Megasthenes. The original text of 'Indica' has been lost, but fragments of it survive in the works of later Greek and Latin authors. These