It's a Question of your Career!

Correct Answer: 63

Solution : The product of two numbers is equal to the product of their HCF (Highest Common Factor) and LCM (Least Common Multiple). 
Let the two numbers as a and b, with a = 18 (given). The HCF is 126 and the LCM is 9. 
⇒ a

Correct Answer: 1

Solution : Given:
$4x=\sqrt5+2$
⇒ $\frac{1}{4x}=\sqrt5-2$ (by rationalising)
⇒ $4x - \frac{1}{4x}=(\sqrt5+2)-(\sqrt5-2)$
⇒ $4x - \frac{1}{4x}=\sqrt5+2-\sqrt5+2$
⇒ $4x - \frac{1}{4x}=4$
Dividing both sides by 4, we get,
⇒ $\frac{4x}{4}-\frac{1}{4x×4}=\frac{4}{4}$
$\therefore x - \frac{1}{16x}=1$
Hence, the correct answer is 1.

Correct Answer: Roger Binny

Solution : The correct answer is Roger Binny.

Former cricketer Roger Binny, who played a crucial role in India's 1983 World Cup victory, has assumed the role of President at the Board of Control for Cricket in India (BCCI). Taking over from former Indian cricket

Correct Answer: Father

Solution : As per the given information, the family tree will be as follows –

Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.

So, from the above family tree, the man is the father of that woman. Hence, the 

Correct Answer: (125, 25, 100)

Solution : Given:
(23, 14, 9); (37, 19, 18)

Here, (23, 14, 9)→14 + 9 = 23
(37, 19, 18)→19 + 18 = 37

Let's check the options –
First option: (125, 25, 5)→25 + 5 = 30 ≠ 125
Second option: (125, 100, 5)→100

Correct Answer: 216 cubic metres

Solution : Given:
Side length = 6 m
Volume of the cube = (side)³ = 6³ = 216 cubic metres
Hence, the correct answer is 216 cubic metres.

Correct Answer: 80

Solution : Let the number of the second group be $x$.
According to the question,
$x$ × 50 = 50 × 80
⇒ $x$ = $\frac{50 × 80}{50}$
$\therefore x$ = 80
Hence, the correct answer is 80.

Correct Answer: $2 \sqrt{3}$ cm

Solution : Given: ABC is an equilateral triangle with a side of 12 cm.
The length of the inradius of the equilateral triangle = $\frac{\text{side}}{2\sqrt3}=\frac{12}{2\sqrt3}=2\sqrt3$ cm
Hence, the correct answer is $2\sqrt3$ cm.

Correct Answer: 8 : 5

Solution : 50% of A is equal to 80% of B
⇒ $\frac{50}{100}\times{\text{A}} = \frac{80}{100}\times{\text{B}}$
⇒ 5A = 8B
⇒ A : B = 8 : 5
Hence, the correct answer is 8 : 5.

Correct Answer: 194 : 12

Solution : Let's check the options –
First option: 187 : 11; 187 ÷ 11 = 17; 187 is divisible by 11.
Second option: 194 : 12; 194 ÷ 12 = 16.17; 194 is not divisible by 12.
Third option: 195 : 13; 195 ÷