Staff Selection Commission Sub Inspector Exam
Question : Directions: Two statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: Some laces are shoes. Some laces are socks. Conclusions: I. All socks are shoes. II. Some socks are laces.
Option 1: Only conclusion I follows
Option 2: Both conclusions I and II follow
Option 3: Neither conclusion I nor II follows
Option 4: Only 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): All socks are shoes – From the Venn diagram, it is evident that there is no direct relation between socks and shoes.
Question : ABCD is a square. Draw an equilateral $\triangle $PBC on side BC considering BC is a base and an equilateral $\triangle $QAC on diagonal AC considering AC is a base. Find the value of $\frac{\text{area of $\triangle PBC$}}{\text{area of $\triangle QAC$}}$.
Option 1: $\frac{1}{2}$
Option 2: $1$
Option 3: $\frac{1}{3}$
Option 4: $\frac{1}{4}$
Correct Answer: $\frac{1}{2}$
Solution : Let the side length of the square ABCD as $a$. The area of an equilateral triangle with $s$ as side length $=\frac{\sqrt{3}}{4}s^2$ The area of $\triangle $PBC, $=\frac{\sqrt{3}}{4}a^2$ The area of $\triangle $QAC, $=\frac{\sqrt{3}}{4}(a\sqrt{2})^2 = \frac{\sqrt{3}}{4} \times 2a^2 = \frac{\sqrt{3}}{2}a^2$ So, $\frac{\text{Area of $\triangle$PBC}}{\text{Area of
Question : What is Kalbaisakhi?
Option 1: Pre-monsoon showers and thunderstorms
Option 2: Cold waves and rains
Option 3: Snowfall and hail
Option 4: Heatwaves and loo
Correct Answer: Pre-monsoon showers and thunderstorms
Solution : The correct answer is Pre-monsoon showers and thunderstorms.
A kalbaisakhi, also known as a nor'wester or bordoisila in Assam, is a localised rainfall and thunderstorm phenomenon occurring in Bangladesh and Indian states like Bihar, Jharkhand, Odisha, Tripura, Assam and West Bengal.
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).
My father advised me to shun bad peers.
(1) escape
(2) leave
(3) avoid
(4) No Improvement
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 4
Solution : The correct choice is the fourth option.
Explanation:
The word "shun" means to deliberately avoid or ignore, often for moral or social reasons. In the context of advising someone to stay away from negative influences, "shun" is appropriate.
The meanings of the other options are
Question : Select the most appropriate synonym of the given word. Rehabilitate
Option 1: Reinstall
Option 2: Develop
Option 3: Absolve
Option 4: Decline
Correct Answer: Develop
Solution : The correct choice is the second option.
Explanation: The synonym for "rehabilitate" is "develop". In the context of rehabilitation, both terms imply a process of improvement, restoration, or progress. The meanings of the other options are as follows:
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error. A Prime Minister of India / will address / the nation today / on the occasion of Independence Day.
Option 1: A Prime Minister of India
Option 2: the nation today
Option 3: on the occasion of Independence Day
Option 4: will address
Correct Answer: A Prime Minister of India
Solution : The correct choice is the first option.
The use of the indefinite article "a" before "Prime Minister of India" is incorrect. When referring to a specific position, such as the Prime Minister, the definite article "the" should be used.
Therefore, the
Question : The diagonals of two squares are in the ratio of 3 : 7. What is the ratio of their areas?
Option 1: 3 : 7
Option 2: 9 : 49
Option 3: 4 : 7
Option 4: 7 : 3
Correct Answer: 9 : 49
Solution : The area (A) of a square can be expressed in terms of its diagonal by, $A = \frac{d^2}{2}$ If the diagonals of two squares are in the ratio 3 : 7. The ratio of their areas will be the square of the ratio
Question : Directions: In the following question, select the related number from the given alternatives. 423 : 657 :: 534 : ?
Option 1: 678
Option 2: 867
Option 3: 768
Option 4: 876
Correct Answer: 768
Solution : Given: 423 : 657 :: 534 : ?
Here, the difference between the numbers of both pairs is 234. Like, 423 : 657→657 – 423 = 234 Let's check the options – First option: 678; 678 – 534 =144 ≠ 234 Second option: 867; 867
Question : What is not a goal of Five-Year Plans?
Option 1: High Population Growth
Option 2: High GDP Growth
Option 3: Equal benefits to all people
Option 4: Self- Reliance
Correct Answer: High Population Growth
Solution : The correct answer is High Population Growth.
Increasing employment and reducing poverty were prioritised in the fifth five-year plan. The Electricity Supply Act was amended in 1975, and the Central Government was able to engage in the production and distribution of power.
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at line MN as shown.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on Line MN). So, the left side of the reflected image will appear
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