Staff Selection Commission Sub Inspector Exam
Question : The sides of a triangular field are 120 m, 170 m and 250 m. The cost of levelling the field at the rate of INR 7.40/m2 is:
Option 1: INR 65,120
Option 2: INR 63,640
Option 3: INR 59,200
Option 4: INR 66,600
Correct Answer: INR 66,600
Solution : Sides of triangular field = 120 m, 170 m, and 250 m. Rate = Rs. 7.40/ m$^2$ Area of triangle = $\sqrt{S(S - a)(S - b)(S - c)}$ where semi-perimeter $S = \frac{a + b + c}{2}$, and $a,b,c$ are the sides of the
Question : Compounds with exactly two double carbon-carbon bonds are known as _____________.
Option 1: Terpenes
Option 2: Dienes
Option 3: Tri alkyne
Option 4: Di alkyne
Correct Answer: Dienes
Solution : The correct answer is Dienes.
Dienes is an unsaturated chemical with two carbon atoms joined by double bonds. In the industrial sector, diene is employed as a monomer constituent of complex polymers. Additionally, organic synthesis uses it.
Question : Directions: Priyank ranks 6th from the bottom and 28th from the top in a class. How many students are there in the class?
Option 1: 31
Option 2:
32
Option 3: 33
Option 4: 34
Correct Answer: 33
Solution : Given: Priyank ranks 6th from the bottom and 28th from the top in a class.
In the class, the total no. of students = Rank from top + Rank from bottom – 1 = (28 + 6) – 1 = 34 – 1 = 33
Question : Who among the following has given extraordinary powers during an emergency?
Option 1: Prime Minister
Option 2: The Chief Justice
Option 3: The President
Option 4: The Governor
Correct Answer: The President
Solution : The correct answer is the President.
The Constitution of India empowers the President to take some actions, as specified in Article 352, during a state of emergency. These emergency provisions are outlined in Part XVIII of the Constitution of India, spanning from Article
Question : If a certain sum becomes two times in seven years at Compound Interest, then in how many years will it become eight times?
Option 1: 14 years
Option 2: 21 years
Option 3: 28 years
Option 4: 35 years
Correct Answer: 21 years
Solution : The sum becomes 2 times in 7 years. 2P = P$(1+\frac{r}{100})^7$ using, Amount = P[$(1+\frac{r}{100})^n$], where P is principal, $r$ is the rate of interest compounded annually for $n$ years. ⇒ $1+\frac{r}{100}$ = $2^{\frac{1}{7}}$.....................................(1) Let the sum become 8 times in T years. ⇒
Question : The table below shows the number of trees planted by the government in 4 different years.
Find the ratio between the number of Neem trees planted in the year 2021 and the number of Birch trees planted in the year 2022.
Option 1: 5 : 9
Option 2: 3 : 7
Option 3: 5 : 8
Option 4: 3 : 8
Correct Answer: 5 : 9
Solution : The number of Neem trees planted in the year 2021 = 5000 The number of Birch trees planted in the year 2022 = 9000 Required ratio = 5000 : 9000 = 5 : 9 Hence, the correct answer is 5 : 9.
Question : Directions: In the following question, two statements are given, followed by two conclusions, I and II. You have to consider the two statements to be true, even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements. Statements: I. Some pins are cups. II. No cup is a book. Conclusions: I. Some pins are books. II. Some pins are not books.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Both conclusions follow
Option 4: Neither conclusion I nor conclusion II follows
Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some pins are books – According to the Venn diagram there is no definite relation between pins and books. Therefore, this conclusion
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at 1, 2 and 3 that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
Finished my homework, I went out to play.
(1) The work was finished
(2) Homework completed
(3) Having completed my homework
(4) No Improvement
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : The correct answer is the third option.
Explanation: The original sentence lacks a clear connection between the two actions.
The phrase "Having completed my homework" serves as a participial phrase, effectively linking the completion of homework with the subsequent action of going out to
Question : Directions: If A denotes +, B denotes ×, C denotes –, and D denotes ÷, then what will be the value of the following expression? 17 B 3 A 14 D 7 C 5 = ?
Option 1: 48
Option 2: 38
Option 3: 29
Option 4: 57
Correct Answer: 48
Solution : Given: A denotes +, B denotes ×, C denotes –, and D denotes ÷ 17 B 3 A 14 D 7 C 5 = ?
After replacing the letters with equivalent symbols, the equation becomes – = 17 × 3 + 14 ÷ 7 –
Question : Directions: In the following question, select the related number from the given alternatives. 16 : 256 :: ? : 104
Option 1: 23
Option 2: 33
Option 3: 13
Option 4: 27
Correct Answer: 13
Solution : Given: 16 : 256 :: ? : 104
Like, 16 : 256→256 ÷ 16 = 16; 16 is the factor of 256. Let's check the options – First option: 23; 104 ÷ 23 = 4.52 Second option: 33; 104 ÷ 33 = 3.15 Third option:
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