It's a Question of your Career!

Correct Answer: 68 : 54

Solution : Given:
84 : 72

Subtract the sum of the digits of the first number from the first number to obtain the second number in the given set of numbers –
84 : 72→84 – (8 + 4) = 84 – 12 = 72

Correct Answer: 90 m

Solution : Firstly, we will draw the diagram as per the given instructions –

Now, we have to find the distance between starting and end point –

Therefore, the distance between Kritika's final point and starting point = 40 + 50 = 90 m. Hence, the 

Correct Answer: 3

Solution : Given: The sum of 10 terms of the arithmetic series is 390.
So, $n=10$
The third term of the series is 19.
Let the first term of the series be $a$.
We know, sum of arithmetic progression (A.P.) = $\frac{n}{2}[2a+(n-1)d]$
$n^{th}$ term = $a+(n-1)d$
So,

Correct Answer: 739

Solution : Here, the given equations follows a pattern in which the first number, the middle number and the last number in LHS becomes the units place digit, the hundreds place digit and the tens place digit in the answer part in RHS respectively.

⇒ 4 x

Correct Answer: $\frac{m^{2}}{3}$

Solution : Given: $a+b+c=m$
Squaring both sides, we get,
⇒ $(a+b+c)^{2}=m^{2}$
⇒ $a^{2}+b^{2}+c^{2}+2(ab+bc+ca)=m^{2}$ ------(1) [Using $(a+b+c)^{2} = a^{2}+b^{2}+c^{2}+2(ab+bc+ca)$ ]
$\because\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=0$
⇒ $\frac{bc+ac+ab}{abc}=0$
⇒ $bc+ac+ab=0$
Putting the value of $bc+ac+ab=0$ in equation (1), we have,
⇒ $a^{2}+b^{2}+c^{2}+2(0)=m^{2}$
⇒ $a^{2}+b^{2}+c^{2}=m^{2}$
Dividing by 3, both sides to find the average,

Correct Answer: shake off

Solution : The correct choice is the fourth option.

Explanation: The most appropriate phrasal verb for the blank is "shake off". In this context, "shake off" means "to get rid of" or overcome something, such as an illness or a problem. The sentence implies that Harish

Correct Answer: 1 : 1

Solution : Radius of the sphere = Radius of the cylinder (let it be $r$)
The ratio of the radius to the height of the cylinder = 3 : 4
Volume of Sphere = $\frac{4}{3} \pi r^3$
Volume of Cylinder = $\pi r^2 h$
Let

Correct Answer: Only conclusion I follows

Solution : The possible Venn diagram according to the given statements is as follows –

Let's analyse the conclusions –
Conclusion (I): Some boxes are squares – From the Venn diagram, we can see that the circle representing boxes is completely overlapped by the

Correct Answer: dilution

Solution : The correct answer is dilution.

Dilution is one of the variables that influences an electrolyte's degree of dissociation. An electrolyte loses concentration as it becomes diluted. It suggests that the ions have more space to travel and dissociate from one another. The degree of separation

Correct Answer: Andhra Pradesh

Solution : The correct answer is Andhra Pradesh.

Kuchipudi is one of the eight classical dances of India. It originates from a village named Kuchipudi in the Indian state of Andhra Pradesh. The dance form is characterised by its intricate footwork, graceful movements and subtle