Staff Selection Commission Sub Inspector Exam
Question : Directions: In a row at a bus stop, A is 7th from the left, and B is 9th from the right. They both interchange their positions. Now A becomes 11th from the left. How many people are there in the row?
Option 1: 10
Option 2: 20
Option 3: 19
Option 4: 18
Correct Answer: 19
Solution : Given: A is 7th from the left, and B is 9th from the right. They both interchange their positions. Now A becomes 11th from the left.
After interchanging the new position of A = 11th from the left Total number of persons = New position
Question : Select the INCORRECTLY spelt word in the given sentence. The Egyptian Pharohs were the Kings of ancient Egypt and were considered as the literal embodiment of God himself.
Option 1: literal
Option 2: ancient
Option 3: pharohs
Option 4: embodiment
Correct Answer: pharohs
Solution : The correct choice is the third option.
Pharaohs (incorrectly spelled as 'Pharohs' in the sentence): This is the correct term for the rulers of ancient Egypt. A pharaoh was considered a powerful political and religious leader, often regarded as a deity or
Question : Select the most appropriate meaning of the given idiom.
To make matters worse.
Option 1: No matter can become worse.
Option 2: Sometimes situation can become worse.
Option 3: Make the situation worse.
Option 4: Matters can be worse.
Correct Answer: Make the situation worse.
Solution : The third option is correct.
To make matters worse means to make a situation even more unpleasant or difficult.
Question : Directions: Which two mathematical signs should be interchanged to make the given equation correct? 15 × 3 ÷ 15 – (45 × 3) – 10 + (13 ÷ 2) = 76
Option 1: ÷ and ×
Option 2: × and +
Option 3: × and –
Option 4: ÷ and +
Correct Answer: ÷ and ×
Solution : Given: 15 × 3 ÷ 15 – (45 × 3) – 10 + (13 ÷ 2) = 76
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: ÷ and × = 15
Question : Select the most appropriate meaning of the given idiom. Speak one’s mind
Option 1: to speak without thinking
Option 2: to speak in an assembly
Option 3: to voice one’s thoughts plainly
Option 4: to put one’s thoughts in writing
Correct Answer: to voice one’s thoughts plainly
Solution : The correct choice is the third option
Explanation: The idiom "speak one’s mind" refers to expressing thoughts or opinions openly and honestly. When someone speaks their mind, they're sharing their genuine thoughts without filtering or holding back. This phrase emphasises the
Question : In $\triangle \mathrm{ABC}, \angle \mathrm{A}=68^{\circ}$. If I is the incentre of the triangle, then the measure of $\angle B I C$ is:
Option 1: 124°
Option 2: 68°
Option 3: 148°
Option 4: 54°
Correct Answer: 124°
Solution :
In $\triangle ABC$, $\angle A = 68^{\circ}$ $\angle BIC = 90^{\circ} + \frac{\angle A}{2}$ $= 90^{\circ} + \frac{68^{\circ}}{2}$ $= 90^{\circ} + 34^{\circ}$ $= 124^{\circ}$ Hence, the correct answer is $124^{\circ}$.
Question : A sum of Rs 27,000 is divided into two parts A and B such that the simple interest at the rate of 15% p.a. on A and B after two years and four years, respectively, is equal. The total interest (in Rs) received together from A and B is:
Option 1: 9,600
Option 2: 5,400
Option 3: 18,000
Option 4: 10,800
Correct Answer: 10,800
Solution : Let $x$ be the principal for part A and $y$ be the principal for part B. So, according to the question $\frac{x×15×2}{100}$ = $\frac{y×15×4}{100}$ ⇒ $x: y$ = 2 : 1 Divide 27000 in the ratio of 2 : 1 ⇒ $x$ = $\frac{2}{3}$ ×
Question : If $\sec A - \tan A = p$, then find the value of $\sec A$.
Option 1: $\frac{p^2-1}{p^2+1}$
Option 2: $\frac{\mathrm{p}^2+1}{\mathrm{p}^2-1}$
Option 3: $\frac{\mathrm{p}^2+1}{\mathrm{p}}$
Option 4: $\frac{\mathrm{p}^2+1}{2 \mathrm{p}}$
Correct Answer: $\frac{\mathrm{p}^2+1}{2 \mathrm{p}}$
Solution : $\sec A - \tan A = p$ $\frac{1}{\cos A} - \frac{\sin A}{\cos A} = p$ $\frac{(1-\sin A)^2}{(\cos A)^2} = p^2$ $\frac{(1-\sin A)^2}{1-\sin^2 A} = p^2$ $\frac{(1-\sin A)^2}{(1-\sin A)(1+\sin A)} = p^2$ $\frac{1-\sin A}{1+\sin A}= p^2$ $1-\sin A = p^2 + p^2\sin A$ $\sin A
Question : Directions: In the following question, find the odd number from the given alternatives.
Option 1: 625
Option 2: 50625
Option 3: 225
Option 4: 3375
Correct Answer: 3375
Solution : Let's check the given options – First option: 625; (25)² = 625 Second option: 50625; (225)² = 50625 Third option: 225; (15)² = 225 Fourth option: 3375 is not a square of any number.
So, 3375 differs from the other three options as it is
Question : Parts of the following sentence have been given as options. One of them may contain an error. Select the part that contains the error from the given options. If you don’t find any errors, mark ‘No error’ as your answer.
We feed the horse oats for a week because it had eaten all the hay.
Option 1: No error
Option 2: it had eaten all the hay
Option 3: We feed the horse oats
Option 4: for a week because
Correct Answer: We feed the horse oats
Solution : The error lies in the third option.
The word "fed" is the correct past tense form of the verb "feed" to match the past tense context of the action.
Therefore, the correct sentence is: We fed the horse oats for
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