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Staff Selection Commission Combined Graduate Level Exam

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Question : Directions: By Interchanging the given two numbers which of the following equations will be correct?
7 and 3

Option 1: 3 ÷ 1 – 7 × 2 + 4 = 8

Option 2: 3 × 2 + 7 – 6 ÷ 3 = 18

Option 3: 3 + 7 × 4 – 6 ÷ 2 = 20

Option 4: 7 + 3 × 2 – 4 ÷ 1 = 13

Team Careers360 15th Jan, 2024

Correct Answer: 7 + 3 × 2 – 4 ÷ 1 = 13


Solution : Given:
7 and 3

Replace the given numbers in the options one by one with the original numbers in the given equation.
First option: 3 ÷ 1 – 7 × 2 + 4 = 8

9 Views

Question : Directions: Which of the following interchanges of signs would make the given equation correct?
100 + 100 × 50 – 2 ÷ 3 = 51

Option 1: + and ÷

Option 2: + and –

Option 3: – and ×

Option 4: ÷ and ×

Team Careers360 14th Jan, 2024

Correct Answer: + and ÷


Solution : Given:
100 + 100 × 50 – 2 ÷ 3 = 51

On interchanging the mathematical signs as directed in the options –
First option: + and ÷
⇒ 100 ÷ 100 × 50 – 2 + 3 = 51
Solving the L.H.S.

18 Views

Question : Directions: Which letter cluster will replace the question mark (?) to complete the given series?
ACFD, CFHG, ?, GLLM, IONP

Option 1: EIJK

Option 2: EIJJ

Option 3: FIJJ

Option 4: EJJK

Team Careers360 11th Jan, 2024

Correct Answer: EIJJ


Solution : Given:
ACFD, CFHG, ?, GLLM, IONP

Add 2 and 3 alternately to the place value of each letter of the previous term to obtain the next term in the series.
 ACFD→A + 2 = C; C + 3 = F; F + 2 = H;

11 Views

Question : If $x+\frac{1}{x}=17,$ what is the value of $\frac{x^{4}+\frac{1}{x^{2}}}{x^{2}-3x+1}\; ?$

Option 1: $\frac{2431}{7}$

Option 2: $\frac{3375}{7}$

Option 3: $\frac{3375}{14}$

Option 4: $\frac{3985}{9}$

Team Careers360 17th Jan, 2024

Correct Answer: $\frac{2431}{7}$


Solution : Given: $x+\frac{1}{x}=17$
$⇒x^{2}+1=17x$
$⇒x^{2}-3x+1=14x$
Also, $x^{3}+\frac{1}{x^{3}}=(x+\frac{1}{x})^{3}-3(x)(\frac{1}{x})(x+\frac{1}{x})$
$⇒x^{3}+\frac{1}{x^{3}}=17^{3}-3(1)(17)=4862$
Now, $ \frac{x^{4}+\frac{1}{x^{2}}}{x^{2}-3x+1}$
= $\frac{x^{4}+\frac{1}{x^{2}}}{14x}$
= $\frac{x^{3}+\frac{1}{x^{3}}}{14}$
= $\frac{4862}{14}$
= $\frac{2431}{7}$
Hence, the correct answer is $\frac{2431}{7}$.

154 Views

Question : If INR 72 amounts to INR 104.4 in 3 years, what will INR 120 amount to in 5 years at the same rate percent per annum?

Option 1: INR 450

Option 2: INR 330

Option 3: INR 210

Option 4: INR 215

Team Careers360 10th Jan, 2024

Correct Answer: INR 210


Solution : Given: INR 72 amounts to INR 104.4 in 3 years.
Principal amount P1 = INR 72, total amount A1 = INR 104.4 and time T1 = 3 years
Simple Interest = 104.4 – 72 = INR 32.4
Let the rate of

37 Views

Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.

In the $19^{\text {th }}$ century, there was an industrial revolution in Europe. As a result, millions of people left the (1) ______and went to work in big factories in cities. Today, it is the reverse. In several major cities, people have started moving out. Why? They want a cleaner, (2)______ environment. There are fewer jobs in 'heavy' industries like steel and power generation. (3) _______, there are more jobs in service industries like banking, tourism and food delivery. Besides, modern transport and communications have made it easier for people to (4)______ to work or even work from home. The result of this revolution in the 21st century will be 'spread cities' - cities are growing fast, but (5)________, away from city centres and people are choosing to live 40, 50 or 60 kilometres away.

Select the most appropriate option to fill in blank no.1.

Option 1: cities

Option 2: colonies

Option 3: villages

Option 4: countries

Team Careers360 3rd Jan, 2024

Correct Answer: villages


Solution : The most appropriate choice is the third option.

Explanation: The sentence explains the movement of people from rural areas (villages) to cities during the Industrial Revolution in the 19th century.

  • Cities: This doesn't fit the context, as the passage discusses people leaving the cities

4 Views

Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.

He is the talk ________.

Option 1: of the town

Option 2: for the town

Option 3: about the town

Option 4: over the town

Team Careers360 11th Jan, 2024

Correct Answer: of the town


Solution : The first option is the correct answer.

Talk of the town means a person or thing that many people in a town, city, etc., are talking about interestingly or excitingly. The other options do not fit the sentence properly and make no sense.

16 Views

Question : Which of the following is not mentioned as a Fundamental Right in the Constitution of India?

Option 1: Right to education

Option 2: Right to property

Option 3: Right to freedom

Option 4: Right against exploitation

Team Careers360 7th Jan, 2024

Correct Answer: Right to property


Solution : The correct option is the Right to property.

The property right was initially recognised as a fundamental right under Article 19(1)(f) of the Constitution of India, which guaranteed the right to acquire, hold, and dispose of property. However, the 44th Amendment Act

3 Views

Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".

Unfortunately (I did not pass in) the examination

(1) I did not pass over

(2) I did not overcome

(3) I did not pass

(4) No Improvement

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 10th Jan, 2024

Correct Answer: (3)


Solution : The sentence can be improved using the third option.

This is the correct choice, as no preposition is used after "pass" or "fail" to maintain formality in the sentence. Thus, "in" should be omitted.

Therefore, the correct sentence is: Unfortunately, I did not pass the

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