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Staff Selection Commission Combined Graduate Level Exam

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Question : The amount of insolation received at a place on the surface of the earth depends upon

Option 1: its climate

Option 2: the longitude of the place

Option 3: its latitude

Option 4: the altitude of the place

Team Careers360 23rd Jan, 2024

Correct Answer: its latitude


Solution : The answer is its latitude.

The quantity of insolation (incoming solar radiation) received at a given location on the Earth's surface is determined by its latitude. Latitude affects the angle at which the sun's rays impact the Earth's surface. Near the equator, there

10 Views

Question : Directions: Arrange the following words as per their order in the dictionary.
1. Organ
2. Origin
3. Orient
4. Organic
5. Organise

Option 1: 1, 5, 3, 4, 2

Option 2: 1, 5, 4, 2, 3

Option 3: 1, 4, 5, 3, 2

Option 4: 1, 4, 5, 2, 3

Team Careers360 9th Jan, 2024

Correct Answer: 1, 4, 5, 3, 2


Solution : Given:
1. Organ 2. Origin 3. Orient 4. Organic 5. Organise

Step 1: Since all the words start with the same letter O, so move on to the next letter.
Step 2: The second letter of each word is the

33 Views

Question : Directions: Which of the following numbers will replace the question mark (?) in the given series?
27, ?, 101, 138, 175, 212, 249

Option 1: 64

Option 2: 59

Option 3: 66

Option 4: 72

Team Careers360 12th Jan, 2024

Correct Answer: 64


Solution : Given:
27, ?, 101, 138, 175, 212, 249

Add 37 to each term to get the next term in the series –
27 + 37 = 64; 64 + 37 = 101; 101 + 37 = 138; 138 + 37 = 175; 175 + 37

29 Views

Question : Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error."

At his return (1) / we asked him (2) / many questions. (3) / No Error (4)

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 20th Jan, 2024

Correct Answer: (1)


Solution : The error lies in the first part of the sentence.

It is not correct because, while describing an action that occurred immediately after someone's return, we often use the preposition "on" or the conjunction "when" to indicate the timing.

So, the correct sentence should be:

16 Views

Question : If $\operatorname{cosec} \theta + \operatorname{cot} \theta = m$, find the value of$\frac{m^2 – 1}{m^2 + 1}$

Option 1: $1$

Option 2: $0$

Option 3: $\operatorname{cos} \theta$

Option 4: $\operatorname{–sin} \theta$

Team Careers360 9th Jan, 2024

Correct Answer: $\operatorname{cos} \theta$


Solution : Given:
$\operatorname{cosec} \theta + \cot \theta = m$ ........(i)
Solution:
$\operatorname{cosec}^{2}\theta-\cot^{2}\theta = 1$  (Trigonometric identity)
$⇒(\operatorname{cosec} \theta - \cot \theta)(\operatorname{cosec} \theta + \cot \theta) =1$
$⇒(\operatorname{cosec} \theta - \cot \theta)=\frac{1}{m}$ ...........(ii)
Adding (i) and (ii), we get,
$\operatorname{cosec} \theta + \cot \theta + \operatorname{cosec}

22 Views

Question : Directions: Select the related letter cluster from the given alternatives.
LNPR : TVXZ :: ? : NPRT

Option 1: FHJL

Option 2: FLJH

Option 3: HFLJ

Option 4: JLHF

Team Careers360 24th Jan, 2024

Correct Answer: FHJL


Solution : Given:
LNPR : TVXZ :: ? : NPRT

Here, subtract 8 from the place value of each letter of TVXZ to obtain the required code –
T – 8 = L; V – 8 = N; X – 8 = P; Z – 8 =

5 Views

Question : If $(a+\frac{1}{a})^2=3$, the value of $(a^3+\frac{1}{a^3})$ is:

Option 1: $0$

Option 2: $3(a+\frac{1}{a})$

Option 3: $3(a^2+\frac{1}{a^2})$

Option 4: $1$

Team Careers360 24th Jan, 2024

Correct Answer: $0$


Solution : Given: $(a+\frac{1}{a})^2=3$
The algebraic identity used is $(a+\frac{1}{a})^3=a^3+\frac{1}{a}^3+3(a+\frac{1}{a})$.
$(a+\frac{1}{a})^2=3$ (equation 1)
Take the square root of the given equation, we get,
$(a+\frac{1}{a})=\sqrt{3}$ (equation 2)
Multiplying equation 1 and equation 2, we get,
$(a+\frac{1}{a})^2(a+\frac{1}{a})=3\sqrt{3}$
⇒$(a+\frac{1}{a})^3=3\sqrt{3}$
⇒ $a^3+\frac{1}{a^3}+3(a+\frac{1}{a})=3\sqrt{3}$
⇒ $a^3+\frac{1}{a^3}+3\sqrt{3}=3\sqrt{3}$
⇒ $a^3+\frac{1}{a^3}=3\sqrt{3}–3\sqrt{3}$
⇒ $a^3+\frac{1}{a^3}=0$
Hence, the correct

18 Views

Question : Select the correct indirect form of the given sentence.

She said, "However hard it rains, I have to go to work."

Option 1: She said that however hard it may rained, she have to go to work.

Option 2: She said that however hard it rained, she had to go to work.

Option 3: She said that even if it rains hard, she had to go to work.

Option 4: She said that however hard it might rain, she has to go to work.

Team Careers360 24th Jan, 2024

Correct Answer: She said that however hard it rained, she had to go to work.


Solution : The second option is the correct answer.

Narration Conversion:

  • The reporting verb said remains unchanged, as it is followed by a conjunction and the reported speech.
  • That is used to introduce the reported
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