Staff Selection Commission Sub Inspector Exam
Question : The following table shows the percentage of marks obtained by five students - V, W, X, Y and Z - in five subjects.
What are the average marks, in percentage, obtained by X?
Option 1: 76.5%
Option 2: 80.5%
Option 3: 82.5%
Option 4: 85.5%
Correct Answer: 82.5%
Solution : According to the question, Total marks obtained by X in all subjects = Maths + Physics + Chemistry + Botany + Hindi Marks obtained in Maths = 70% of 300 = 0.70 × 300 = 210 Marks obtained in Physics = 90% of 300 =
Question : What is the value of $\small \frac{(0.7)^{3}-(0.4)^{3}}{(0.7)^{2}+0.7\times 0.4+(0.4)^{2}}$?
Option 1: 0.3
Option 2: 0.7
Option 3: 0.9
Option 4: 1.1
Correct Answer: 0.3
Solution : Consider, $\frac{(0.7)^{3}-(0.4)^{3}}{(0.7)^{2}+0.7\times 0.4+(0.4)^{2}}$ We know, $a^3-b^3=(a-b)(a^2+ab+b^2)$ $=\frac{(0.7-0.4)((0.7)^{2}+0.7\times 0.4+(0.4)^{2})}{(0.7)^{2}+0.7\times 0.4+(0.4)^{2}}$ $=0.7 - 0.4$ $= 0.3$ Hence, the correct answer is 0.3.
Question : The last Sub-Section (k) on the education of children was added in 2002 as a part of the Fundamental Duties. The same Amendment also introduced______________in the Constitution.
Option 1: Article 48A
Option 2: Article 21A
Option 3: Article 32A
Option 4: Article 11A
Correct Answer: Article 21A
Solution : The correct option is Article 21A.
The 86th Amendment Act of 2002 added Sub-Section (k) to Article 51A, making education of children a fundamental duty. Additionally, it amended Article 21A, introducing the Right to Education (RTE) Act, which mandates free and compulsory education
Question : Select the most appropriate synonym of the given word.
TRIVIAL
Option 1: meaningful
Option 2: superficial
Option 3: warm
Option 4: essential
Correct Answer: superficial
Solution : The correct choice is the second option.
Trivial refers to something that is of little significance, importance, or seriousness.
Superficial conveys a lack of depth or significance. Something superficial is concerned with or only relates to the surface or outer appearance, without delving into
Question : If an amount of Rs. 80 becomes Rs. 96 in 2 years in a bank account which gives simple annual interest, then an amount of Rs. 62,000 will become ________ in the same account after 5 years.
Option 1: Rs. 88,200
Option 2: Rs. 84,600
Option 3: Rs. 82,400
Option 4: Rs. 93,000
Correct Answer: Rs. 93,000
Solution : The formula for simple interest is $SI = \frac{PRT}{100}$ where SI is the interest, P is the principal amount, R is the rate of interest and T is the time. SI = 96 – 80 = 16 ⇒ $16 = \frac{80R×2}{100}$ ⇒ R =
Question : In $\triangle$ABC and $\triangle$PQR, $\angle$B = $\angle$Q, $\angle$C = $\angle$R. M is the midpoint of side QR. If AB : PQ = 7 : 4, then $\frac{\text{area($\triangle$ ABC)}}{\text{area($\triangle$ PMR)}}$ is:
Option 1: $\frac{35}{8}$
Option 2: $\frac{49}{16}$
Option 3: $\frac{49}{8}$
Option 4: $\frac{35}{16}$
Correct Answer: $\frac{49}{8}$
Solution : In $\triangle ABC$ and $\triangle PQR$, $\angle B = \angle Q$ $\angle C = \angle R$ ⇒ $\angle A = \angle P$ ⇒ $\triangle ABC ~ \triangle PQR$ In $\triangle PQR$, Since PM is the median, it divides the triangle into two parts of equal
Question : Who is the author of the novel "The Moor's Last Sigh"?
Option 1: V. S. Naipaul
Option 2: John Keay
Option 3: Kiran Doshi
Option 4: Salman Rushdie
Correct Answer: Salman Rushdie
Solution : The correct answer is Salman Rushdie.
The Moor's Last Sigh is the fifth novel written by Salman Rushdie. It is set in the Indian cities of Bombay and Cochin. The book draws on a variety of historical figures and events, including Boabdil's surrender
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 32, 32, 32, 34, ?, 106, 530
Option 1: 96
Option 2: 38
Option 3: 102
Option 4: 34
Correct Answer: 102
Solution : Given: 32, 32, 32, 34, ?, 106, 530
Add and multiply consecutive numbers alternately, starting from 0 to obtain the next number. 32 + 0 = 32; 32 × 1 = 32; 32 + 2 = 34; 34 × 3 = 102; 102 + 4
Question : Directions: The following diagram shows different views of the same cube. Find out how many spots are contained on the face opposite to that containing 6 spots.
Option 1: 1
Option 2: 3
Option 3: 5
Option 4: 2
Correct Answer: 1
Solution : According to the dice rule, if two or more positions of the same dice are given with two common faces but in different orientations then out of those two common faces the faces that are not common are opposite to each other.
So, the opposite
Question : A can do as much work as B and C together can do, A and B can do a piece of work in 9 hours 36 minutes and C can do it in 48 hours. The time (in hours) that B needs to do the work alone, is:
Option 1: 18 hours
Option 2: 24 hours
Option 3: 30 hours
Option 4: 12 hours
Correct Answer: 24 hours
Solution : 9 hours 36 minutes = $9+\frac{36}{60}=9\frac{3}{5}=\frac{48}{5}$ hours. Work of (A + B) in 1 hour = $\frac{5}{48}$ Work of C in 1 hour = $\frac{1}{48}$ Work of (A + B + C) in 1 hour = $\frac{5}{48}+\frac{1}{48}=\frac{1}{8}$ -------(1) According to the given condition, 1
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