It's a Question of your Career!

Correct Answer: $5\frac{5}{23}$ hours

Solution : Hourly work done by A = $\frac{1}{6}$
Hourly work done by B = $\frac{1}{8}$
Hourly work done by C = $\frac{1}{10}$
The tank can be filled by A, B, and C
= $\frac{1}{6}+\frac{1}{8}-\frac{1}{10}$
= $\frac{20+15-12}{120}$
= $\frac{23}{120}$
The tank can be filled in $\frac{120}{23}=5\frac{5}{23}$

Correct Answer: 4 × 3 – 1 + 8 ÷ 2 = 9

Solution : Given:
÷ and ×, 1 and 3

Let's check the options –
First option: 6 ÷ 3 – 1 + 4 × 2 = 5
On replacing the numbers and mathematical signs, the equation becomes

Correct Answer: CD

Solution : Let's check the options –

First option: BD; B + 2 = D
Second option: CD; C + 1 = D
Third option: DF; D + 2 = F
Fourth option: AC; A + 2 = C

So, the second option is different from the

Correct Answer: $x^4$

Solution : Given: $x^9 \times x^5 \times x^{-4} \times x^0 \times x^{-6}$
$=x^{9+5-4+0-6}$
$=x^{4}$
Hence, the correct answer is $x^{4}$.

Correct Answer: Tibet

Solution : The correct answer is Tibet.

Daocheng Yading Airport is in the county of Daocheng, Garzê Tibetan Autonomous Prefecture, Sichuan Province, China. It is situated in the southeastern section of Sichuan Province, close to the Tibetan border.

Correct Answer: Pritha will been cooking

Solution : The correct choice is the second option.

"Pritha will been cooking" should be replaced with "Pritha will have cooked," indicating the use of the future perfect tense. The future perfect tense is used for those actions that will stand as complete by

Correct Answer: 0.12

Solution : Mean proportional of 0.04 and 0.36
= $\sqrt{0.04 × 0.36}$
= 0.12
Hence, the correct answer is 0.12.

Correct Answer: 2

Solution : Given: $(x^2-2x+1)=0$
⇒ $x^2+1=2x$
Divide the given equation by $x$ on both sides, we get,
⇒ $x+\frac{1}{x}=2$
On squaring the above equation on both sides, we get,
⇒ $x^2+\frac{1}{x^2}+2=4$
⇒ $x^2+\frac{1}{x^2}=2$
On squaring the above equation on both sides, we get,
⇒ $(x^2+\frac{1}{x^2})^2=2^2$
⇒ $(x^4+\frac{1}{x^4})+2=4$

Correct Answer: rigid

Solution : The correct choice is the fourth option.

Flexible is used to describe something that can easily be bent.

Rigid is something that does not lose its shape, even with the application of force. This makes it the correct antonym of the given word.

The

Correct Answer: 18

Solution : Given: $\frac{8+2 \sqrt{3}}{3 \sqrt{3}+5}=a \sqrt{3}–b$
Rationalize the given fraction,
$\frac{(8+2 \sqrt{3})\times(3\sqrt3–5)}{(3 \sqrt{3}+5)\times (3\sqrt3–5)}=\frac{24\sqrt3–40+18–10\sqrt3}{27–25}$
⇒ $\frac{14\sqrt3–22}{2}=7\sqrt3–11$
Now, compare the value with the given expression $a \sqrt{3}–b$, we get,
$7\sqrt3–11=a \sqrt{3}–b$
⇒ $a=7,b=11$
The value of $a + b=7+11=18$.
Hence, the correct answer is 18.