Staff Selection Commission Combined Graduate Level Exam
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
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
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 ×
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.
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
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;
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: $\frac{3985}{9}$
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 $\frac{2431}{7}$.
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
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
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
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
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
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.
Question : In two types of brass, the ratios of copper to zinc are 8 : 3 and 15 : 7, respectively. If the two types of brass are melted and mixed in the ratio 5 : 2, a new type of brass is obtained. The ratio of copper to zinc in this new type of brass is:
Option 1: 3 : 2
Option 2: 2 : 3
Option 3: 3 : 4
Option 4: 5 : 2
Correct Answer: 5 : 2
Solution : Given: In two types of brass, the ratios of copper to zinc are 8 : 3 and 15 : 7. The two types are melted and mixed in a ratio of 5 : 2. The ratio of copper to zinc in the first
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
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
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)
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
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
And never miss an important update