It's a Question of your Career!

Correct Answer: $6$

Solution : Given: $x^2-2\sqrt{10}x+1=0$
Dividing both sides by $x$, we get,
$⇒x-2\sqrt{10}+\frac{1}{x}=0$
$⇒x+\frac{1}{x}=2\sqrt{10}$
Squaring both sides, we get,
$⇒x^2+\frac{1}{x^2}+2×x×\frac{1}{x}=(2\sqrt{10})^2$
$⇒x^2+\frac{1}{x^2}=38$
Subtracting 2 from both sides, we get,
$⇒x^2+\frac{1}{x^2}-2=38-2$
$⇒x^2+\frac{1}{x^2}-2×x×\frac{1}{x}=36$
$⇒(x-\frac{1}{x})^2=36$
$\therefore x-\frac{1}{x}=\sqrt{36}=6$
Hence, the correct answer is $6$.

Correct Answer: 32%

Solution : Single equivalent discount $=(a+b-\frac{a×b}{100})$%, where $a=15\%$ and $b=20$% are successive discounts.
$\therefore$ Single equivalent discount $=15+20-\frac{15×20}{100}=35-\frac{300}{100}=32$%
Hence, the correct answer is 32%.

Correct Answer: host

Solution : The most appropriate option is the second option.

Explanation:

In the context of events or meetings, "host" means to organise or hold. The U.S. Department of Agriculture and the Environmental Protection Agency host federal pollinator experts, indicating that they organise and hold the annual meeting.

Correct Answer: oxidation of cellulose

Solution : The correct option is the oxidation of cellulose.

The browning of paper in old books is primarily caused by the oxidation of cellulose, a process accelerated by exposure to light, air and moisture. Over time, atmospheric oxygen reacts with cellulose fibres, leading

Correct Answer: 60.18%

Solution : Total marks secured by Hitansh = 67 + 70 + 64 + 55 + 75 = 331
Total marks = 100 + 150 + 100 + 100 + 100 = 550
Hitansh's overall percentage in the examination
= $\frac{331}{550}×100$
= $60.18$%
Hence, the correct answer

Correct Answer: 56

Solution : Given:
W = 46, BAT = 46

Multiply the sum of the positional value of the letters by 2 of BAT, to obtain the required code –
B→2; A→1; T→20
(2 + 1 + 20) × 2 = 23 × 2 = 46
And in,

Correct Answer: 14

Solution : Given: $xy = 48$ and $x^{2}+y^{2} = 100$
We know the algebraic identity, $(x+y)^{2} = x^{2}+y^{2}+2xy$
By substituting the values in the above equation, we get:
$⇒(x+y)^{2} = 100+2×48$
$⇒(x+y) = \sqrt{196}$
$\therefore (x+y) = 14$
Hence, the correct answer is 14.

Correct Answer: (2)

Solution : The error lies in the second part of the sentence.

The clause introduced by "unless" uses the simple present tense and not the simple future tense. Thus, "you will study" should be replaced with "you study". This makes the sentence grammatically correct as per the

Correct Answer: what I was looking for

Solution : The correct choice is the third option.

Explanation: The phrase "what I was looking for" is redundant and unnecessary. The correct form should simply be, "Here is the toy I was looking for". The use of "what" adds unnecessary complexity

Correct Answer: $\frac{200}{3}\%$

Solution : Let the cost price of one box as C and the selling price of one box as S. 
Given that the selling price of 9 boxes is equal to the cost price of 15 boxes.
⇒ 9S = 15C
⇒ S = $\frac{15}{9}$C = $\frac{5}{3}$C