Staff Selection Commission Sub Inspector Exam
Question : Directions: In the following question, a piece of paper is folded and cut as shown below in the question figure. From the given option figures, indicate how it will appear when opened.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : When the given paper is unfolded, it will look like –
Hence, the first option is correct.
Question : Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error".
Several visitors are (1) / expected to visit the (2) / trade fair this weekend. (3) / No Error (4)
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 4
Solution : The fourth option is the correct choice.
The sentence is grammatically correct. It means that several visitors are anticipated or expected to attend the trade fair this weekend.
Therefore, the given sentence contains no errors.
Question : A person invested a sum of INR 10,500 at $x$% per annum at simple interest and a sum of INR 13,500 at $(x + 2)$% p.a. at simple interest. If the total interest earned on both investments for 3 years is INR 7,650, then the rate of interest on the first investment is:
Option 1: 8%
Option 2: 8.5%
Option 3: 9%
Option 4: 9.5%
Correct Answer: 9.5%
Solution : Given: 1st principal = INR 10,500 Rate of interest = $x$% 2nd principal = INR 13,500 Rate of interest = $(x + 2)$% Time = 3 years The total simple interest = INR 7,650 We know that, Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$
Question : Water cycle refers to
Option 1: an integrated attempt to recycle water in relatively arid regions
Option 2: the constant movement of water from the ocean to land and back to the ocean once again
Option 3: scientific management of water in areas excessively plagued with waterlogging
Option 4: water distribution in relatively dry areas
Correct Answer: the constant movement of water from the ocean to land and back to the ocean once again
Solution : The correct answer is a constant movement of water from ocean to land and back to ocean once again.
The water cycle, also known as the hydrologic cycle, is
Question : Two circles of radii 5 cm and 3 cm intersect each other at A and B, and the distance between their centres is 6 cm. The length (in cm) of the common chord AB is:
Option 1: $\frac{4 \sqrt{13}}{3}$
Option 2: $\frac{2 \sqrt{14}}{3}$
Option 3: $\frac{2 \sqrt{13}}{3}$
Option 4: $\frac{4 \sqrt{14}}{3}$
Correct Answer: $\frac{4 \sqrt{14}}{3}$
Solution :
Given, AP = 5 cm, AQ = 3 cm and PQ = 6 cm Let PM = x, ⇒ MQ = (6 – x) In $\triangle$AMP (PA)$^2$ = (AM)$^2$ + (PM)$^2$ ⇒ 52 = (AM)$^2$ + x$^2$ ⇒ (AM)$^2$ = 25 – x$^2$
Question : Directions: In the following question, some parts of the sentence may have error. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error".
He commanded me (1) / as if he was (2) / my husband. (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.
There is an error in the auxiliary verb usage in the sentence. The auxiliary verb "was" should be replaced with "were" to convey the intended meaning that the person commanded the speaker as if he
Question : Which of the following religious groups annually celebrates the "Paryushana Parva" for self-purification and uplift by adhering to the ten universal virtues in practical life?
Option 1: Sikhs
Option 2: Hindus
Option 3: Jains
Option 4: Parsis
Correct Answer: Jains
Solution : The correct option is Jains.
The Jain community is a religious group that observes the ten universal qualities in daily life and celebrates the "Paryushana Parva" every year as a means of self-purification and elevation. One of the most prominent and important Jain holidays,
Question : A sum amount doubles in 8 years by simple interest. Then the rate of simple interest per annum is:
Option 1: 10%
Option 2: 12.5%
Option 3: 15%
Option 4: 20%
Correct Answer: 12.5%
Solution : Let the sum be $P$. Time, $n$ = 8 years Total amount for 8 years = $2P$ Simple Interest = total amount – sum = $2P – P$ = $P$ Simple Interest after $n$ years = $\frac{PnR}{100}$ where $P$ is principal and $R$ is the
Question : Directions: In the following question, the given sentence has four parts marked P, Q, R, and S. Choose the part of the sentence with the error and select it as your answer. If there is no error, select "No Error (S)" as your answer.
The government need to adopt (P) / a multi-year expenditure outlook (Q) / while preparing the budget. (R) / No Error (S)
Correct Answer: 1
Solution : The correct choice is the first option.
Explanation: There is an error in the subject-verb agreement in the sentence. The verb need should be replaced with needs to convey the intended meaning that the government should adopt a multi-year expenditure outlook when preparing the
Question : If $x^2-3 x+1=0$, then the value of $\left(x^4+\frac{1}{x^2}\right) \div\left(x^2+1\right)$ is:
Option 1: 5
Option 2: 6
Option 3: 9
Option 4: 7
Correct Answer: 6
Solution : Given: $x^2-3 x+1=0$ ⇒ $x^2+1=3x$................................(1) Dividing both sides by $x$, we get: ⇒ $x+\frac{1}{x}=3$...................(2) Now, cubing both sides, ⇒ $(x+\frac{1}{x})^3=3^3$ ⇒ $x^3+\frac{1}{x^3}+3(x\times\frac{1}{x})(x+\frac{1}{x})=27$ ⇒ $x^3+\frac{1}{x^3}+3\times3=27$ ⇒ $x^3+\frac{1}{x^3}=18$.....................(3) $\therefore$ The value of $\left(x^4+\frac{1}{x^2}\right) \div\left(x^2+1\right)$ $=\frac{\left(x^4+\frac{1}{x^2}\right)}{\left(x^2+1\right)}$ $=\frac{\left(x^4+\frac{1}{x^2}\right)}{3x}$ $=\frac{x^4}{3x}+\frac{1}{3x\times x^2}$ $=\frac{x^3}{3}+\frac{1}{3\times x^3}$ $=\frac{1}{3}(x^3+\frac{1}{x^3})$ Putting the values, we get $=\frac{1}{3}\times18=6$
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