It's a Question of your Career!

Correct Answer: DKNEFC

Solution : Given: 
ABROAD is written as DFORDH, and ACCESS is written as DGECVW.

Add 3 and 4 in the place value of the first two and last two letters and interchange the position of the third and fourth letter of ABROAD, to get the required code

Correct Answer: so

Solution : The third option is the correct answer.

"So" is a conjunctive adverb that is used to refer back to the action mentioned earlier in the sentence, which is "climbing the tree". It connects the failure to the attempted action.

Therefore, the complete sentence is: "Each

Correct Answer: $4 \sqrt{2}$

Solution : $(4 \sin \theta+5 \cos \theta)=3$
Squaring both sides, we get,
$⇒16 \sin^2 \theta+25 \cos^2 \theta+40\sin\theta\cos\theta=9$
$⇒16(1-\cos^2 \theta)+25(1-\sin^2 \theta) + 40\sin\theta\cos\theta= 9$
$⇒16-16\cos^2\theta+25-25\sin^2\theta+40\sin\theta\cos\theta=9$
$⇒16\cos^2\theta+25\sin^2\theta-40\sin\theta\cos\theta=16+25-9$
$⇒(4\cos\theta)^2+(5\sin\theta)^2-2\times 5\sin\theta \times 4\cos\theta=32$
$⇒(4\cos\theta - 5\sin\theta)^2 = 32$
$⇒(4\cos\theta - 5\sin\theta) = \sqrt{32}=4\sqrt{2}$
Hence, the correct answer is $4\sqrt{2}$.

Correct Answer: $\left(2-{e}^2\right) ^\frac{3}{2}$

Solution : Given,
$\cot^2θ = 1 - e^2$
Consider,
$\operatorname{cosec} θ + \cot^3θ \sec θ$
$=\frac{1}{\sinθ} + \frac{\cos^3θ}{\sin^3θ}\frac1{\cosθ}$
$=\frac{\sin^2θ+\cos^2θ}{\sin^3θ}$
$=\frac{1}{\sin^3θ}$ [As $\sin^2θ+\cos^2θ=1$]
$=\operatorname{cosec^3}θ$
Also, we know that,
$\operatorname{cosec^2}θ=1+\cot^2θ$
⇒ $\operatorname{cosec^2}θ=1+1-e^2$
⇒ $\operatorname{cosec^2}θ=2-e^2$
⇒ $\operatorname{cosec}θ=(2-e^2)^{\frac12}$
⇒ $\operatorname{cosec^3}θ=(2-e^2)^{\frac32}$
Hence, the correct answer is $(2-e^2)^{\frac32}$.

Correct Answer: Only I

Solution : I. Ratio of the number of bikes A sold by C1 to the number of bikes D sold by C2 
= 50 : 110
= 5 : 11
II. The average number of bikes A, B, D and E sold by C1
= $\frac{50+30+80+100}{4}$

Correct Answer: School

Solution : Given:
A scientist is related to the laboratory.

The first term is a professional and the second term is the workplace –
A scientist is a professional and a laboratory is a workplace or environment.
Similarly, a teacher is a professional and a school is

Correct Answer: 7 days

Solution : Given: 42 persons can consume 144 kg of wheat in 15 days.
Let in $x$ days 30 persons consume 48 kg of wheat.
We know that $\frac{M1D1}{W1}=\frac{M2D2}{W2}$
According to the question,
$\frac{42×15}{144}=\frac{30×x}{48}$
⇒ $x=7$
Hence, the correct answer is 7 days.

Correct Answer: Uttar Pradesh

Solution : The correct option is Uttar Pradesh.

On March 28, 2022, the Constitution (Scheduled Tribes and Scheduled Castes) Orders (Second Amendment) Bill, 2022, was presented to the Lok Sabha. The purpose of the bill is to modify the Constitution (Scheduled Castes) Order, 1950 (SC

Correct Answer: granules

Solution : The correct answer is the fourth option.

When one thinks of sugar used in cookies, coffee, or cereal, it is commonly in the form of small, individual pieces or crystals. "Granules" refer to small, often microscopic particles or crystals, making it the most appropriate choice.

Correct Answer: R

Solution : Given:
P is shorter than Q but taller than R.
R < P < Q
R is shorter than S.
R < S

So, as per the above data, R is the shortest. Hence, the third option is correct.