It's a Question of your Career!

Correct Answer: 6.5

Solution : Let the number be $x$.
According to the question,
$(x + \frac{1}{2})\times 3=21$
⇒ $(x + \frac{1}{2}) =\frac{21}{3}=7$
⇒ $x =7- \frac{1}{2}$
$\therefore x =6.5$
Hence, the correct answer is 6.5.

Correct Answer: $2,-\frac{1}{2}$

Solution : Given: $2(x^{2}+\frac{1}{x^{2}})-(x-\frac{1}{x})-7=0$
We know that, $x^{2}+\frac{1}{x^{2}} = (x-\frac{1}{x})^2+2$
⇒ $2[(x-\frac{1}{x})^2+2]-(x-\frac{1}{x})-7=0$
Put $x-\frac{1}{x}=t$
⇒ $2t^2+4-t-7=0$
⇒ $2t^2-t-3=0$
⇒ $2t^2-3t+2t-3=0$
⇒ $t(2t-3)+1(2t-3)=0$
⇒ $(2t-3)(t+1)=0$
$\therefore t=\frac{3}{2}$ or, $ -1$
Now if,
$x-\frac{1}{x}=\frac{3}{2}$
⇒ $2x^2-2=3x$
⇒ $2x^2-3x-2=0$
⇒ $2x^2-4x+x-2=0$
⇒ $2x(x-2)+1(x-2)=0$
⇒ $(x-2)(2x+1)=0$
$\therefore x = 2$ or,

Correct Answer: C. N. R. Rao

Solution : The correct option is C. N. R. Rao.

Renowned Indian scientist Professor C. N. R. Rao, affiliated with the Jawaharlal Nehru Centre for Advanced Scientific Research in Bangalore, was honoured with the inaugural 2022 Sheikh Saud International Prize for Materials Research.

Correct Answer: QJ

Solution : Given:
MN, NM, OL, PK, ?

The pattern is as follows –
First letter of the series→M + 1 = N; N + 1 = O; O + 1 = P; P + 1 = Q
Second letter of the series→N – 1 = M;

Correct Answer: 2

Solution : The second part of the sentence has an error.

Note that "for" should be replaced with the preposition "on" to correctly convey the idea of congratulating someone for their achievement.

The correct sentence should be: "We must go and congratulate him on his brilliant success."

Correct Answer: 15

Solution : The number that divides 784 and leaves a remainder of 4 = 784 – 4 = 780
The number that divides 857 and leaves a remainder of 2 = 857 – 2 = 855
The greatest number that divides both 780 and 855 is their

Correct Answer: (1)

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

The verb help is typically followed by a gerund (-ing form of a verb) when it is used to express that someone can't avoid or refrain from doing something. In this context, the action is laughing,

Correct Answer: Ashtadhyayi

Solution : The correct answer is Ashtadhyayi.

The grammar of classical Sanskrit was established by this work. Each of its eight parts is divided into quarter sections. Panini's most notable composition is titled Astadhyayi or Astaka. In this work, Panini distinguishes between the common language of

Correct Answer: INR 13,000

Solution : Let $x$ be the cost of an LED TV and $y$ be the cost of a mobile phone.
$2x + y = 31000$ ------------(i)
$x + 2y = 35000$
⇒ $x = 35000 – 2y$ ------------(ii)
Substituting (ii) in (i),
$2(35000 - 2y) +

Correct Answer: They also show problem behaviours, like physical aggression and cheating.

Solution : The correct choice is the third option.

Explanation: In this sentence, all the words are correctly spelled. The words behaviours, aggression, and suggestions are spelled according to British English spelling.

So, the correct sentence would