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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : What is the Inter Tropical Convergence Zone (ITCZ)?

Option 1: A region with a high annual rainfall.

Option 2: A low-pressure zone located at the equator.

Option 3: A zone where air tends to descend.

Option 4: A high-pressure zone located at the equator.

Team Careers360 20th Jan, 2024

Correct Answer: A low-pressure zone located at the equator.


Solution : The correct option is A low-pressure zone located at the equator.

Encircling the Earth close to the equator is a belt of low pressure known as the Inter-Tropical Convergence Zone (ITCZ). The trade winds from the northern and southern

19 Views

Question : Two circles touch each other externally at any point C. PQ is the direct common tangent to both the circles touching the circles at point P and point Q. If the radii of the circles are 36 cm and 16 cm, respectively, then the length of PQ is:

Option 1: 42 cm

Option 2: 24 cm

Option 3: 48 cm

Option 4: 36 cm

Team Careers360 19th Jan, 2024

Correct Answer: 48 cm


Solution :
$R = 36$ cm
$r = 16$ cm
$\therefore$ PQ = $\sqrt{d^2-(R-r)^2}$
= $\sqrt{(R+r)^2-(R-r)^2}$
= $\sqrt{(R^2+r^2+2Rr-(R^2-2Rr+r^2)}$
= $\sqrt{4Rr}$
= $\sqrt{4×36×16}$
= $48$ cm
Hence, the correct answer is 48 cm.

203 Views

Question : Directions: What should come in place of the question mark (?) in the given series?
48, 100, ?, 1232, 6170

Option 1: 306

Option 2: 280

Option 3: 304

Option 4: 214

Team Careers360 25th Jan, 2024

Correct Answer: 306


Solution : Given:
48, 100, ?, 1232, 6170

In the given series, multiply the numbers with consecutive natural numbers from 2 onwards and add consecutive even numbers from 4 onwards to find the next term.
(48 × 2) + 4 = 96 + 4 = 100;
(100

13 Views

Question : Some staff promised to do a job in 18 days, but 6 of them went on leave. So the remaining men took 20 days to complete the job. How many men were there originally?

Option 1: 55

Option 2: 62

Option 3: 56

Option 4: 60

Team Careers360 18th Jan, 2024

Correct Answer: 60


Solution : Let the total number of men be $x$.
The work is the same. So, $W_1=W_2=1$
Use the following formula to solve the question:
$\frac{M_{1}\times D_{1}}{W_{1}}=\frac{M_{2}\times D_{2}}{W_{2}}$
Where $M_1$ and $M_2$ are men, $D_1$ and $D_2$ are days and $W_1$ and $W_2$ are work done.
$\frac{x×18}{1}=\frac{(x-6)20}{1}$

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Question : The average height of 30 boys out of a class of 50 is 160 cm. If the average height of the remaining boys is 165 cm, the average height of the whole class (in cm) is:

Option 1: 161

Option 2: 162

Option 3: 163

Option 4: 164

Team Careers360 17th Jan, 2024

Correct Answer: 162


Solution : Average height of 30 boys = 160 cm
The average height of the remaining 20 boys = 165 cm
We have to find out the average height of the whole class which is 
= $\frac{30\times 160 + 20\times 165}{50}$
= $\frac{4800 + 3300}{50}$
= $\frac{8100}{50}$

22 Views

Question : If $(4 \sin \theta+5 \cos \theta)=3$, then the value of $(4 \cos \theta-5 \sin \theta)$ is:

Option 1: $3 \sqrt{2}$

Option 2: $4 \sqrt{2}$

Option 3: $2 \sqrt{3}$

Option 4: $2 \sqrt{5}$

Team Careers360 14th Jan, 2024

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 $4\sqrt{2}$.

13 Views

Question : The Constitution (Scheduled Castes and Scheduled Tribes) Orders (Second Amendment) Bill, 2022 applies to:

Option 1: Uttar Pradesh

Option 2: Madhya Pradesh

Option 3: Rajasthan

Option 4: Bihar

Team Careers360 19th Jan, 2024

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

16 Views

Question : In the isosceles triangle ABC with BC is the unequal side of the triangle, and line AD is the median drawn from the vertex A to the side BC. If the length AC = 5 cm and the length of the median is 4 cm, then find the length of BC (in (cm).

Option 1: 5

Option 2: 3

Option 3: 4

Option 4: 6

Team Careers360 24th Jan, 2024

Correct Answer: 6


Solution :
Given: $\Delta ABC$ is an isosceles triangle
Hence, AB = AC = 5cm
From Apollonius's theory, we get,
⇒ $5^2+5^2=2(4^2+DC^2)$
⇒ $25+25=16+DC^2$
⇒ $DC^2=9$
⇒ $DC = 3\ \text{cm} $
Since D is the median point on the side BC.
$\therefore BD = DC =

23 Views

Question : Select the most appropriate synonym of the given word.

Quell

Option 1: Invite

Option 2: Beseech

Option 3: Encourage

Option 4: Suppress

Team Careers360 14th Jan, 2024

Correct Answer: Suppress


Solution : The fourth option is the correct answer.

Quell means to suppress or subdue, typically in the context of suppressing a feeling, disturbance, or uprising. In this case, "suppress" aligns with the idea of quelling, as it involves restraining or putting an end to something.

The

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