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Staff Selection Commission Combined Graduate Level Exam

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Question : If the sum and difference of two angles are 135° and $\frac{\pi}{12}$, respectively, then the value of the angles in degree measure is:

Option 1: 70° and 65°

Option 2: 75° and 60°

Option 3: 45° and 90°

Option 4: 80° and 55°

Team Careers360 22nd Jan, 2024

Correct Answer: 75° and 60°


Solution : Let the two angles be x and y.
So, x + y = 135°------------------------------(1)
The difference of the two angles is $\frac{\pi}{12}$.
So, x – y = $\frac{\pi}{12}=\frac{180}{12}$ = 15° ---------------------------(2)
Solving equations (1) and (2), we get,
x = 75°
So, y

17 Views

Question : Directions: Select the option in which the given figure is embedded. (Rotation is NOT allowed)

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 20th Jan, 2024

Correct Answer:


Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of the question figure with all the option figures, the given question figure is embedded only in the first option figure.

Hence, the first option is

37 Views

Question : Select the most appropriate synonym of the underlined word in the given sentence.
I could not sleep because I was too eager, so I got up early and dressed.

Option 1: Apathetic

Option 2: Tensed

Option 3: Satisfied

Option 4: Exhilarated

Team Careers360 20th Jan, 2024

Correct Answer: Exhilarated


Solution : The correct option is the fourth option.

Explanation:
Exhilarated means feeling very happy, animated, or excited about something. In the context of the sentence, the speaker couldn't sleep due to being too eager, indicating a high level of excitement or enthusiasm, which aligns well

13 Views

Question : Select the correct passive form of the given sentence.
Harsh has applied for leave.

Option 1: Leave was applied by Harsh.

Option 2: Leave is applied for by Harsh.

Option 3: Leave has been applied for by Harsh.

Option 4: Leave had been applied by Harsh

Team Careers360 21st Jan, 2024

Correct Answer: Leave has been applied for by Harsh.


Solution : The correct choice is the third option.

Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes the subject in the

6 Views

Question : Select the most appropriate ANTONYM of the underlined word.
We lived a very frugal life during our childhood.

Option 1: Reckless

Option 2: Weary

Option 3: Severe

Option 4: Extravagant

Team Careers360 21st Jan, 2024

Correct Answer: Extravagant


Solution : The correct option is the fourth option.

Frugal means to be economical, thrifty, or to live a simple and cost-effective life. In contrast, extravagant refers to spending or living in a lavish, wasteful, or excessive manner.

The meanings of the other options are as follows:

47 Views

Question : Direction: Which of the following interchange of numbers and signs would make the given equation correct?
512 × 64 ÷ 5 + 30 – 50 = 20

Option 1: 50 and 64, + and ×

Option 2: 20 and 30, + and ÷

Option 3: 20 and 50, × and ÷

Option 4: 5 and 20, + and –

Team Careers360 21st Jan, 2024

Correct Answer: 20 and 50, × and ÷


Solution : Given:
512 × 64 ÷ 5 + 30 – 50 = 20

Replace the given symbols and numbers in the options one by one with the original symbols and numbers in the given equation.

Let's check the options –
First

27 Views

Question : Direction: In the following question, select the related number from the given alternatives.

2/3 : 19/29 :: 8/7 : ?

Option 1: 89/79

Option 2: 79/79

Option 3: 79/69

Option 4: 80/70

Team Careers360 23rd Jan, 2024

Correct Answer: 79/69


Solution : Given:

2/3 : 19/29 :: 8/7 : ?

In the given sequence, 2/3 corresponds to 19/29. This relationship can be expressed as 2/3 is to (2 × 10 - 1) / (3 × 10 - 1)

Similarly, when we apply this same logic to the

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