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Staff Selection Commission Combined Graduate Level Exam

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Question : Disguised unemployment in India is mainly related to:

Option 1: agricultural sector

Option 2: rural area

Option 3: factory sector

Option 4: urban area

Team Careers360 19th Jan, 2024

Correct Answer: agricultural sector


Solution : The correct answer is the agricultural sector.

Agriculture is the primary source of disguised unemployment in India. Agriculture employs the most people in India, accounting for more than half of the total. However, agricultural production is low, and there is an excess of

10 Views

Question : If $(a+b+c)=14$ and $\left(a^3+b^3+c^3-3 a b c\right)=98$, find the value of $(ab+bc+ca)$.

Option 1: 60

Option 2: 64

Option 3: 65

Option 4: 63

Team Careers360 24th Jan, 2024

Correct Answer: 63


Solution : Given that:
$a + b + c = 14$ and $a^3 + b^3 + c^3 - 3abc = 98$
We have to find the value of $ab +bc +ca$
We know that,
$a^3 + b^3+ c^3 - 3abc = 98$
⇒ $(a^2+ b^2+ c^2 -

9 Views

Question : Directions: Select the figure that will replace the question mark (?) in the following figure series.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 23rd Jan, 2024

Correct Answer:


Solution : According to the given figure series –
1. The triangle inside the pentagon moves from top left to top right, then again from top right to top left, and so on.
2. The rectangle inside the pentagon moves from bottom right to bottom left, then again

12 Views

Question : Directions: If A means +, B means ×, C means ÷, and D means –, then the value of the given equation will be 9 A 2 B 6 D 4 C 2 = ?

Option 1: 16

Option 2: 19

Option 3: 27

Option 4: 30

Team Careers360 24th Jan, 2024

Correct Answer: 19


Solution : Given:
9 A 2 B 6 D 4 C 2 = ?

After replacing the letters with mathematical signs, the equation becomes –
= 9 + 2 × 6 – 4 ÷ 2
= 9 + 2 × 6 – 2
= 9 + 12

10 Views

Question : $\theta$ is a positive acute angle and $\sin\theta-\cos\theta=0$, then the value of $\sec\theta+\operatorname{cosec}\theta$ is:

Option 1: $2$

Option 2: $\sqrt{3}$

Option 3: $2\sqrt{2}$

Option 4: $3\sqrt{2}$

Team Careers360 23rd Jan, 2024

Correct Answer: $2\sqrt{2}$


Solution : Given:
$\sin\theta-\cos\theta=0$
⇒ $\sin\theta=\cos\theta$
⇒ $\sin\theta=\sin\;(90°-\theta)$
⇒ $2\theta=90°$
⇒ $\theta=45°$
So, $\sec\theta+\operatorname{cosec}\theta$
$= \sec 45°+ \operatorname{cosec} 45°$
$= \sqrt{2}+\sqrt{2}$
$= 2\sqrt{2}$
Hence, the correct answer is $2\sqrt{2}$.

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