Correct Answer: 17

Solution : Let the three consecutive integers be $x-1, x,x+1$ whose sum equals 51.
According to the question,
$x -1+ x +x+1 = 51$
$3x = 51$
$\Rightarrow x = \frac{51}{3} = 17$
So, the middle number $=x= 17$
Hence, the correct answer is 17.

Correct Answer: 3

Solution : $\frac{x^2}{y z}+\frac{y^2}{z x}+\frac{z^2}{x y}=\frac{x^3+y^3+z^3}{xyz}$
Use identity: If $a+b+c=0$, then $a^3+b^3+c^3=3abc$.
Given, $x+y+z=0$
So, $\frac{x^2}{y z}+\frac{y^2}{z x}+\frac{z^2}{x y}=\frac{3xyz}{xyz}$
= 3
Hence, the correct answer is 3.

Correct Answer:

Solution : As per mirror image properties, closer things appear close to the mirror in reflection.
According to the information provided, if the mirror is placed on the right side of the figure (on line MN), the right of the reflected image will appear as the left, and

Correct Answer: (1)

Solution : The sentence can be improved using the first option.

It is a suitable choice because, in the context of writing or speaking having knowledge of metaphor is more relevant and meaningful than simply having a "use" of metaphor.

Therefore, the correct sentence should be: The

Correct Answer: $–1$

Solution : The angle $1125°$ is co-terminal to the $45°$ angle and also tangent is a periodic function.
So, $\tan 1125°= \tan (6\times 180°+45°) = \tan 45°=1$
$\therefore \tan (–1125°) = – \tan 1125° = –1$
Hence, the correct answer is –1.

Correct Answer: succeed

Solution : The correct choice is the second option.

The word therefore indicates a logical consequence or result based on the preceding statement. In this case, the statement "He is diligent" implies that the person is hardworking and committed. The logical consequence of diligence is often

Correct Answer: $3\frac{3}{5}$

Solution : Given: $5x+\frac{1}{x}=10$
We know that the algebraic identity, $(a+b)^2=a^2+b^2+2ab$.
$5x+\frac{1}{x}=10$
On squaring both sides of the above equation, we get,
$(5x+\frac{1}{x})^2=10^2$
⇒ $25x^2+\frac{1}{x^2}+10=100$
⇒ $25x^2+\frac{1}{x^2}=90$
Divide by 25 on both sides of the above equation, we get,
$x^2+\frac{1}{25x^2}=\frac{90}{25}$
⇒ $x^2+\frac{1}{25x^2}=\frac{18}{5}=3\frac{3}{5}$
Hence, the correct answer is

Correct Answer: A, B and C

Solution : The correct answer is A, B and C.

A former President is entitled to get a pension amount and some perks under the President's Emoluments and Pension (Amendment) Act, 1951. All the former Presidents get Rs. 2.5 lakh pension per month, as

Correct Answer: 12.1 seconds

Solution : Given: The distance of the train is (110 + 132) = 242 m and its speed is 72 km/h.
We know that, $\text{Time}=\frac{\text{Distance}}{\text{Speed}}$
To convert km/h into m/s, we multiply by $\frac{5}{18}$.
72 km/h = $72\times \frac{5}{18}$ m/s
= 20 m/s
So, the time

Correct Answer: (3)

Solution : The sentence can be improved using the third option.

The auxiliary verb "had" is unnecessary in the context of the sentence, and only the simple past form of "take" that is "took" should be used here.

Therefore, the correct sentence is: "I took the papers