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Correct Answer: $\frac{10}{27}$

Solution : Given: $3x^{2}+5x+3=0$
$3x^2 + 3=-5x$
Dividing by $3x$ on both sides,
$x+\frac{1}{x} = -\frac{5}{3}$
As $(a+b)^3 = a^3 + b^3 +3ab(a+b)$
$\therefore$ $x^3 + \frac{1}{x^3} = (\frac{-5}{3})^3 - 3\times \frac{-5}{3}$
= $\frac{-125}{27}+5$
= $\frac{–125+135}{27}=\frac{10}{27}$
Hence, the correct answer is $\frac{10}{27}$.

Correct Answer: 36

Solution : Given: The radius of a cylinder is increased by 25%.
Volume of the cylinder = $\pi r^2 h$
Let $h$ be the initial height, $r$ be the initial radius, $H$ be the final height and the new radius will be $\frac{125}{100}r$ = $\frac{5}{4}r$.
According to

Correct Answer: 3 : 2

Solution : Let the numbers be $a$ and $b$.
Given: $a-b=24$............(equation 1)
$a+b=120$............(equation 2)
Adding equation 1 and 2, we get:
$2a=144$
⇒ $a=72$
Putting the value of $a$ in equation 2, we get:
$72+b=120$
⇒ $b=48$
$\therefore a:b=72:48$
$=3:2$
Hence, the correct answer is

Correct Answer: 1879

Solution : The correct answer is 1879.

Walther Flemming initially came up with the name "chromatin" in 1879 to describe the component within the nucleus that absorbs specific nuclear stains when treated. Flemming developed a novel approach for staining salamander embryo cells using aniline dyes generated from

Correct Answer: was smooth as the most timid of

Solution : The correct choice is the third option.

"As" is used to denote quality. It is used when a sentence contains adjectives in the positive and comparative forms.

In the given question, "as__as" should be used to compare the smoothness

Correct Answer: 4, 3, 5, 2, 1

Solution : Given:
1. Sound 2. Socks 3. Shock 4. Sharp 5. Snooker

Step 1: Compare the first letter of each word. Since all the words start with the same letter S, so, move on to the next letter.
Step 2: The

Correct Answer: 2

Solution : $(1 \div 23) \text { of }[2\{3+4(35 \div 7)\}]=y$
⇒ $y=(\frac{1}{23})\times[2\{3+4(\frac{35}{7})\}]$
⇒ $y=(\frac{1}{23})\times[2\{3+4(5)\}]$
⇒ $y=(\frac{1}{23})\times[2\{3+20\}]$
⇒ $y=(\frac{1}{23})\times[2(23)]$
$\therefore y=2$
Hence, the correct answer is 2.

Correct Answer: day and night are of equal length

Solution : The correct answer is day and night are of equal length.

When the sun is directly above the equator, neither of the poles is facing towards the sun. As a result, the entire earth has equal days and

Correct Answer: 5 and 3

Solution : Given:
8 × 3 ÷ 4 + 9 – 5 = 16

Let's check the options –
First option: 3 and 4
⇒ 8 × 4 ÷ 3 + 9 – 5 = 16
Solving the L.H.S. of the equation –
= 8

Correct Answer: 91 days, 182 days, 364 days

Solution : The correct answer is 91 days, 182 days, 364 days.

The Indian Government issues Treasury Bills (T-bills) in three tenors: 91 days, 182 days, and 364 days. These represent the maturity periods, indicating the time for the government to