It's a Question of your Career!

Correct Answer: $10\sqrt{6}$

Solution : Let the equal sides be $3x$ cm and the third side be $5x$ cm.
By heron's formula, Area of triangle = $\sqrt{s(s-a)(s-b)(s-c)}$
Where, $s=\frac{a+b+c}{2}$
Here, $s=\frac{3x+3x+5x}{2}$
⇒ $s=\frac{11x}2$
So, $\sqrt{\frac{11x}2(\frac{11x}2-3x)(\frac{11x}2-3x)(\frac{11x}2-5x)} = 30\sqrt{11}$
⇒ $\sqrt{\frac{11x}2(\frac{5x}2)(\frac{5x}2)(\frac{1x}2)} = 30\sqrt{11}$
⇒ $\frac{5}{4}\sqrt{11}x^2 = 30\sqrt{11}$
⇒ $x^2 = 24$
⇒

Correct Answer: 6

Solution : Given: The sum of a twice a number and thrice its reciprocal is $\frac{25}{2}$.
Let the number be $x$.
According to the question,
$2x+\frac{3}{x}=\frac{25}{2}$
$\Rightarrow 4x^2+6=25x$
$\Rightarrow 4x^2-25x+6=0$
$\Rightarrow 4x^2-24x-x+6=0$
$\Rightarrow (4x-1)(x-6)=0$
$\Rightarrow (4x-1)=0$ or $(x-6)=0$
$\Rightarrow x=6$ or $\frac{1}{4}$
After checking the options, we

Correct Answer: Fusion reactor

Solution : The correct option is the Fusion reactor.

The magnetic confinement fusion technique is based on a scientific idea known as "magnetic confinement of plasma". In the subject of nuclear fusion research, magnetic confinement fusion is one technique used to try and mimic the

Correct Answer: denounce

Solution : The first option is the correct answer.

The word applaud means to express approval, admiration, or praise, often through enthusiastic clapping or cheering. On the other hand, the antonym denounce entails publicly condemning or criticising or expressing strong disapproval or rejection of someone or something.

Correct Answer: (3)

Solution : The correct choice is the third option.

In this context, when referring to job reservations, it is more appropriate to use "in" to indicate that reservations are related to jobs. "At" is less suitable in this context, as it defines specification.

So, the correct

Correct Answer: Unwise

Solution : The correct choice is the second option.

The word judicious means having, showing, or done with good judgment or sense.

Unwise means not sensible, which makes it the correct antonym.

The meanings of the other options are as follows:

• A criminal is someone who

Correct Answer: 1924

Solution : Given:
$x=-5$ and $y=-7$
$\left(27 x^3-58 x^2 y+31 x y^2-8 y^3\right)$
$= (3x)^3-3×(3x)^2×2y+3×3x×(2y)^2-(2y)^3-4x^2y-5xy^2$
$= (3x-2y)^3-xy(4x+5y)$
$= (3×(-5)-2×(-7))^3-(-5×(-7))(4×(-5)+5×(-7))$
$=-1-35(-20-35)$
$= -1-35(-55)$
$= -1+1925$
$= 1924$
Hence, the correct answer is 1924.

Correct Answer: rain gauge

Solution : The correct option is a rain gauge.

A rain gauge is a meteorological device that records and quantifies the total amount of precipitation, or rainfall, over a given time frame. While rain gauges come in a variety of forms, they are all used

Correct Answer: 3

Solution : The given number is 756896.
Sum of digits in odd places = 7 + 6 + 9 = 22
Sum of digits in even places = 5 + 8 + 6 = 19
Difference in sums = 22 – 19 = 3
If we add

Correct Answer: meteorology

Solution : The correct answer is meteorology.

The study of the atmosphere, atmospheric phenomena, and the influences of the atmosphere on our weather is known as meteorology. A flaming rock hurtling through space is referred to as a meteor in modern times, which is also the root