Staff Selection Commission Combined Graduate Level Exam
Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation. 45 * 86 * 23 * 36 * 18 * 2021
Option 1: ×, +, –, ÷, =
Option 2: +, –, ×, ÷, =
Option 3: –, ×, +, ÷, =
Option 4: +, ×, –, ÷, =
Correct Answer: +, ×, –, ÷, =
Solution : Given: 45 * 86 * 23 * 36 * 18 * 2021
Replace the * sign given in the equation with the assigned signs in the options. Let's check the options – First option: ×, +, –, ÷, = ⇒ 45
Question : If $m+n=1$, then the value of $m^{3}+n^{3}+3mn$ is equal to:
Option 1: 0
Option 2: 1
Option 3: 2
Option 4: 3
Correct Answer: 1
Solution : Given: $m+n=1$ Cubing both sides, we get $(m+n)^3=1^3$ ⇒ $m^3+n^3+3mn(m+n)=1$ Putting the value of $(m+n)$ ⇒ $m^3+n^3+3mn(1)=1$ Thus, $m^3+n^3+3mn=1$ Hence, the correct answer is 1.
Question : If $x+ \sqrt{5} = 5+\sqrt{y}$ are positive integers, then the value of $\frac{\sqrt{x}+y}{x+ \sqrt{y}}$ is:
Option 1: 1
Option 2: 2
Option 3: $\sqrt{5}$
Option 4: 5
Solution : Given: $x+ \sqrt{5} = 5+\sqrt{y}$ By comparing rational and irrational numbers, we get ⇒ $x = 5$ and $\sqrt{y} = \sqrt{5}$ ⇒ $y = 5$ By putting the values of $x$ and $y$ in the given expression, $ \frac{\sqrt{x}+y}{x+ \sqrt{y}}$ $=\frac{\sqrt{5}+5}{5+ \sqrt{5}}$ $= 1$ Hence,
Question : Directions: After arranging the given words according to dictionary order, which word will come in the Fourth position? 1. Agenda 2. Agentry 3. Ageism 4. Ageist 5. Agency
Option 1: Ageist
Option 2: Agenda
Option 3: Agentry
Option 4: Agency
Correct Answer: Agenda
Solution : Given: 1. Agenda 2. Agentry 3. Ageism 4. Ageist 5. Agency
Step 1: Compare the first, second, and third letters of each word. Since all the words start with the same letter A and are followed by g and e, then move on to
Question : Direction: Study the bar graph given below, which shows the percent distribution of total expenditures of a company under various expenses, and answer the question.
If the total expenditure of the company is INR 20 crores, then the ratio of expenditure on transport to that on salary is:
Option 1: 5 : 4
Option 2: 4 : 5
Option 3: 5 : 8
Option 4: 8 : 5
Correct Answer: 5 : 8
Solution : The total expenditure of the company is INR 20 crores. Expenditure on transport = 12.5% = $\frac{12.5}{100} \times 2000000$ = 250000 Expenditure on salary = $\frac{20}{100} \times 2000000$ = 400000 The ratio of transport costs to salary = 250000 : 400000 = 5
Question : Ten thaats or scales, belong to which system of music?
Option 1: Hindustani music
Option 2: Folk music
Option 3: Chinese music
Option 4: Western music
Correct Answer: Hindustani music
Solution : The correct option is Hindustani music.
Ragas are derived from a set of ascending notes known as thaats. The 'thaat' method was developed in Hindustani music to categorise the enormous number of ragas that are present in the genre. Vishnu Narayan Bhatkhande, a
Question : Direction: In this question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices, given below. The columns and rows of Matrix (I) are numbered from 0 to 4 and that of Matrix (II) are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g. 'A' can be represented by 02,10, etc., and 'B' can be represented by 57, 65, etc. Similarly, you have to identify the set for the word.
FADE
Option 1: 76, 02, 75, 32
Option 2: 68, 20, 57, 14
Option 3: 55, 33, 65, 23
Option 4: 89, 10, 96, 41
Correct Answer: 76, 02, 75, 32
Solution : Given:
'FADE' Number representations of each letter: F → 55, 76, 97, 68, 89 A → 10, 41, 02, 33, 24 D → 75, 56, 87, 69, 99 E → 20, 01, 32, 43, 14
Option first: 76, 02, 75, 32 All
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
Mobile phones are so importance these days that they are no longer luxury items but have become a necessity.
(1) a necessity.
(2) so importance these days
(3) no longer
(4) No Error
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the second option of the question.
The word importance is a noun, but in this context, we need an adjective to describe mobile phones. The correct adjective is important to convey that mobile phones are significant or essential. So, the
Question : The monthly income of Mr. Roy is Rs.18,000. He took a loan of Rs.30,000 on simple interest for 3 years at the rate of 5% per annum. The amount that he will be paying as a simple interest in 3 years is what percentage of his monthly salary?
Option 1: 30%
Option 2: 35%
Option 3: 20%
Option 4: 25%
Correct Answer: 25%
Solution : Given, The monthly income of Mr. Roy is Rs. 18,000. He took a loan of Rs. 30,000 on simple interest for 3 years at the rate of 5% per annum. The simple interest incurred on Rs. 30,000 at 5% p.a for 3 years $=\frac{30000 \times
Question : The cost of apples is increased by 20% and then decreased by 20%. What is the net percentage decrease?
Option 1: 4%
Option 2: 3%
Option 3: 5%
Option 4: 6%
Correct Answer: 4%
Solution : Let the price of apples be Rs. 100. After the increase, the price = 100 × 120% = Rs. 120 After the decrease, the price = 120 × 80% = Rs. 96 ⇒ Decrease = 100 – 96 = Rs. 4 Net percentage decrease =
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