Staff Selection Commission Combined Graduate Level Exam
Question : Find the area of the shaded portion of an equilateral triangle with sides 6 units shown in the following figure. A circle of radius 1 unit is centred at the midpoint of a side of the triangle.
Option 1: $\frac{1}{2}\left(9 \sqrt{3}-\frac{11}{7}\right)$ unit$^2$
Option 2: $\frac{1}{4}\left(9 \sqrt{3}-\frac{11}{7}\right)$ unit $^2$
Option 3: $\frac{1}{2}\left(6 \sqrt{3}-\frac{11}{7}\right)$ unit$^2$
Option 4: $\frac{1}{2}\left(9 \sqrt{3}-\frac{22}{7}\right)$ unit$^2$
Correct Answer: $\frac{1}{2}\left(9 \sqrt{3}-\frac{11}{7}\right)$ unit$^2$
Solution : Area of equilateral triangle = $\frac{\sqrt 3}{4}(side)^2$ $= \frac{\sqrt3}{4}(6)^2 = 9\sqrt{3}\ \mathrm{unit}^2$ Area of circle = $\pi r^2 = \pi\ \mathrm{unit^2}$ where $r$ = radius of circle = 1 unit. Area of shaded region = $\frac{1}{2}$ Area of triangle - $\frac{1}{4}$ Area of
Question : The given table shows the number of new employees who joined different categories of employees in an organization and also the number of employees from these categories who left the organization every year since the foundation of the organization in 2015. Study the table and answer the questions that follow.
What was the total number of accountants working in the organization in the year 2019?
Option 1: 110
Option 2: 83
Option 3: 27
Option 4: 193
Correct Answer: 27
Solution : Total number of accountants working in the organization in the year 2019 = 35 – 0 + 26 – 16 + 15 – 5 + 20 – 38 + 14 – 24 = 27 Hence, the correct answer is 27.
Question : Directions: In the following question, find the odd number pair from the given alternatives.
Option 1: 3, 12
Option 2: 2, 6
Option 3: 6, 42
Option 4: 5, 35
Correct Answer: 5, 35
Solution : The pattern followed here is that when the second number is divided by the first number it gives the consecutive natural number of the first number.
Let's check the options — First option: 3 – 12→12 ÷ 3 = 4 Second option: 2 –
Question : Directions: The second number in the given number pairs is obtained by performing certain mathematical operation(s) on the first number. The same operation(s) is/are followed in all the number pairs, except one. Find that odd number pair.
Option 1: (7, 89)
Option 2: (8, 102)
Option 3: (5, 60)
Option 4: (6, 76)
Correct Answer: (5, 60)
Solution : Let's check the options – First option: (7, 89); (7 × 12) + (7 – 2) = 84 + 5 = 89 Second option: (8, 102); (8 × 12) + (8 – 2) = 96 + 6 = 102 Third option: (5, 60); (5
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".
The reason for (1) / his failure is because (2) / he did not work hard (3) / No Error (4)
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 2
Solution : The error lies in the second part of the sentence.
Explanation: The phrase, "the reason for his failure is because" is redundant. Both "the reason" and "because" convey the idea of causation. To correct this redundancy, we should use "the reason for his failure is
Question : Blood group AB has
Option 1: no antigen
Option 2: no antibody
Option 3: neither antigen nor antibody
Option 4: both antigen and antibody
Correct Answer: no antibody
Solution : The correct option is no antibody.
Individuals with blood type AB do not naturally develop antibodies against the ABO blood group antigens. The four major blood types are A, B, AB, and O. Each blood type has different antigens on the surface of
Question : If a + b + c = 0, the value of (a3 + b3 + c3) is:
Option 1: abc
Option 2: 2abc
Option 3: 3abc
Option 4: 0
Correct Answer: 3abc
Solution : Given: a + b + c = 0 a3 + b3 + c3 – 3abc = (a + b + c)(a2 + b2 + c2 – ab – bc – ca) ⇒ a3 + b3 + c
Question : Select the most appropriate one-word substitution for the given words. Safe to drink
Option 1: Delectable
Option 2: Potable
Option 3: Feasible
Option 4: Edible
Correct Answer: Potable
Solution : The second option is the correct choice.
The meaning of the marked option is:
The meanings of the other options are:
Question : Which of the following organisations was established in 1885?
Option 1: Communist Party of India
Option 2: Muslim League
Option 3: East India Organisation
Option 4: Indian National Congress
Correct Answer: Indian National Congress
Solution : The correct answer is the Indian National Congress.
The Indian National Congress was established on December 28, 1885, and it was started by a retired British Civil Servant, A. O Hume. It was founded by a group of educated people in Bombay, with
Question : Pathans in North-West India organised the society of Khudai Khidmatgars, popularly known as Red Shirt, under whose leadership?
Option 1: Muhammad Ali
Option 2: Mukhtar Ansari
Option 3: Khan Abdul Ghaffar Khan
Option 4: Hasrat Mohani
Correct Answer: Khan Abdul Ghaffar Khan
Solution : The correct answer is Khan Abdul Ghaffar Khan.
The Red Shirt movement, also known as Khudai Khidmatgar (Persian for "Servants of God"), was founded in 1930 in India's North-West Frontier Province in support of the Indian National Congress. This organisation was
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