Correct Answer: main street at

Solution : The correct answer is the fourth option.

In the given sentence, the underlined portion should be replaced with "main street at" to make it grammatically correct.

The original sentence uses the word mainly which is an adverb meaning mostly or primarily. However, in

Correct Answer: 24 : 19

Solution : Total income in years M and N = 850 + 350 = 1200
Total expenditure in years J, K, and L = 350 + 250 + 350 = 950
So, the required ratio = 1200 : 950 = 24 : 19
Hence, the

Correct Answer: Revange

Solution : The solution is the second option.

Explanation: The correct spelling of the word for retaliation or vengeance is revenge, not "revange". The letter "a" is the incorrect vowel in this context. It must be replaced with the vowel "e" to get the correct spelling. 

Spelling

Correct Answer: $36^{\circ}$

Solution : Sides of a pentagon, $n$ = 5
Each interior angle of a pentagon = $(\frac{2×5-4}{5})×90^{\circ}$ = $6 × 18^{\circ}$ = $108^{\circ}$
External angle of a pentagon = $\frac{360^{\circ}}{5}$ = $72^{\circ}$
Difference = $108^{\circ}$ – $72^{\circ}$ = $36^{\circ}$
Hence, the correct answer is $36^{\circ}$.

Correct Answer: 240

Solution : Given: The sum of two numbers is 520.
Let the bigger number be $a$ and the smaller number be $(520 - a)$.
The bigger number is decreased by 4% and the smaller number is increased by 12%.
So, $a×\frac{96}{100}=(520 - a)×\frac{112}{100}$
⇒ $96a=(520 - a)×112$

Correct Answer:

Solution : Here the pattern is as follows –
1. The line rotates by 45° clockwise.
2. The number of circles on the line increases by 2.
Therefore, the following figure will complete the given pattern –

Hence, the second option is correct.

Correct Answer: Sycophant

Solution : The correct choice is the third option.

Explanation:

A sycophant is someone who uses excessive flattery, praise, or bootlicking to gain favour or advantage from a person in authority. This term specifically captures the idea of someone who seeks to ingratiate himself with others

Correct Answer: $33\frac{1}{3}\%$

Solution : Given: The selling price (SP) of an article is $1\tfrac{1}{3}$rd of the cost price (CP).
Gain percentage $=\frac{\text{Selling price – Cost price}}{\text{Cost price}}×100$
Gain percentage $=\frac{\frac{4}{3}×\text{CP}-\text{CP}}{\text{CP}}×100=(\frac{4}{3}-1)×100=\frac{100}{3}\%=33\frac{1}{3}\%$
Hence, the correct answer is $33\tfrac{1}{3}\%$.

Correct Answer: (43 – 82)

Solution : Let's check each option –
First option: 55 – 107→(55 × 2) – 3 = 110 – 3 = 107
Second option: 43 – 82→(43 × 2) – 3 = 86 – 3 = 83 ≠ 82
Third option: 64 – 125→(64 ×

Correct Answer: 2

Solution : Given: $\frac{(381+119)^2+(381-119)^2}{(381)^2+(119)^2}$
Let $a=381\ and\ b= 119$
$\frac{(a+b)^2+(a-b)^2}{(a)^2+(b)^2}$
= $\frac{(a^2+b^2+2ab)+(a^2+b^2-2ab)}{a^2+b^2}$
= $\frac{a^2+b^2+a^2+b^2}{a^2+b^2}$
= $\frac{2(a^2+b^2)}{a^2+b^2}$
= $2$
Hence, the correct answer is 2.