It's a Question of your Career!

Correct Answer: 76

Solution : Given: $x+\frac{1}{x}=2 \sqrt{5}$
⇒ $(x+\frac{1}{x})^2=(2 \sqrt{5})^2$
⇒ $x^2+\frac{1}{x^2}+2=20$
⇒ $x^2+\frac{1}{x^2}=18$ -------------(i)
⇒ $x^2+\frac{1}{x^2}-2=18-2=16$
⇒ $(x-\frac{1}{x})^2=(4)^2$
⇒ $x-\frac{1}{x}=4$ -------------(ii)
So, $x^3-\frac{1}{x^3}$ = $(x-\frac{1}{x})(x^2+\frac{1}{x^2}+x×\frac{1}{x})$
= 4 × (18 + 1)
= 76
Hence, the correct answer is 76.

Correct Answer: 56.26%

Solution : Proportion of water after replacement = Proportion of water before replacement × ($\frac{\text{Volume before addition}}{\text{Volume after addition}}$)^{(number of replacements)} 
⇒ Proportion of water after replacement = $\frac{3}{5} × (\frac{90}{100}$)³ 
= $\frac{2187}{5000}$
So, the volume of water after replacements = $\frac{2187}{5000}$ × 100
=

Correct Answer: 2

Solution : Given,
Three numbers are in the ratio 2 : 3 : 5 and their LCM is 60.
Let the number be $2x$, $3x$, and $5x$.
⇒ LCM of ($2x$, $3x$ and $5x$) $=2 × 3 × 5 × x=30x$
According to the question
$30x =

Correct Answer: 68, 00, 65, 76

Solution : Given:
MAXI

Number representations of each letter –
M→59, 68
A→00, 44
X→65, 78, 97
I→57, 76

Let's check the options –
First option: 76, 56, 34, 57 – M and A cannot be represented by 56 and 34.
Second option: 68,

Correct Answer: 11 : 47

Solution : Given:
7 : 31

Multiply the first number by 4 and then add 3 to it, to get the second number in each pair –
7 : 31→(7 × 4) + 3 = 28 + 3 = 31

Let's check the options –

Correct Answer: ideal

Solution : The third option is the correct answer.

Explanation:
Ideal means perfect or best suited for a particular purpose. In the context of the sentence, describing the park as an ideal place suggests that it is well-suited for strolling and exercising.

The meanings of other options

Correct Answer:

Solution : In the 3D view of dice,
1. Each face out of the three faces in the 3D view should be from all the pairs.
2. Two opposite faces cannot appear adjacently in the 3D view of a folded cube figure.
So, the opposite pairs of faces

Correct Answer: Football

Solution : The correct option is Football.

The word "direct free kick" refers to the sport of football, which is sometimes referred to as soccer worldwide. In football, a team is awarded a direct free kick when the opposing team fouls and the kick can be made

Correct Answer: 155

Solution : Given:
1, 1, 2, 3, 7, 22, ?

Multiply the first two terms and then add 1 to obtain the third term and follow the same pattern for the next term.
(1 × 1) + 1 = 2; (1 × 2) + 1 = 3;

Correct Answer: 1956

Solution : The correct answer is 1956.

Rukmini Devi Arundale was an Indian theosophist, dancer, and choreographer of the Indian classical dance form of Bharatanatyam. She worked for the revival of Bharatanatyam from its original "Sadhir style" prevalent amongst the temple dancers, the Devadasis.