Staff Selection Commission Sub Inspector Exam
Question : The sum of four consecutive even numbers is 748. The smallest among them is:
Option 1: 188
Option 2: 186
Option 3: 184
Option 4: 174
Correct Answer: 184
Solution : Given: The sum of four consecutive even numbers is 748. Let the smallest number be $n$. Then, the four consecutive even numbers are $n, n+2, n+4, n+6$. According to the question, $n+(n+2)+(n+4)+(n+6) = 748$ or, $4n + 12 = 748$ or, $4n = 748 –
Question : Directions: In the diagram below, the faces of dice are shown from two different directions. Which number will be opposite to 4?
Option 1: 2
Option 2: 3
Option 3: 1
Option 4: 5
Correct Answer: 2
Solution : In the given dice, two faces 6 and 1 are common. So, the remaining numbers on the dice are 4 and 2. So, 4 and 2 are the opposite faces of each other in the given dice.
So, the opposite face to the face containing
Question : Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution required’.
The large mansion was over his reaching.
Option 1: No substitution required
Option 2: above his reaching
Option 3: away from reaching
Option 4: beyond his reach
Correct Answer: beyond his reach
Solution : The correct choice is the fourth option.
Explanation: Beyond his reach is the correct choice because it effectively communicates that the large mansion was unattainable or inaccessible to him. It conveys the idea that the mansion was beyond what he could obtain or
Question : If $\cos\theta=\frac{3}{5}$, then the value of $\sin\theta.\sec\theta.\tan\theta$ is:
Option 1: $\frac{9}{16}$
Option 2: $\frac{16}{9}$
Option 3: $\frac{3}{4}$
Option 4: $\frac{4}{3}$
Correct Answer: $\frac{16}{9}$
Solution : Given: $\cos\theta=\frac{3}{5}$ We know, $\cos\theta= \frac{\text{Base}}{\text{Hypotenuse}}$ Let, Base = 3, Hypotenuse = 5 So, Perpendicular = $\sqrt{5^2-3^2}=4$ $\sin\theta.\sec\theta.\tan\theta$ = $\frac{\text{Perpendicular}}{\text{Hypotenuse}}×\frac{\text{Hypotenuse}}{\text{Base}}×\frac{\text{Perpendicular}}{\text{Base}}$ = $\frac{4}{5}×\frac{5}{3}×\frac{4}{3}$ = $\frac{16}{9}$ Hence, the correct answer is $\frac{16}{9}$.
Question : Directions: Four letter clusters have been given, out of which three are alike in some manner and one is different. Select the odd letter cluster.
Option 1: ZSNK
Option 2: VOJG
Option 3: WNDD
Option 4: TMHE
Correct Answer: WNDD
Solution : Let's check each option –
First option: ZSNK; Z – 7 = S; S – 5 = N; N – 3 = K Second option: VOJG; V – 7 = O; O – 5 = J; J – 3 = G Third option: WNDD; W
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 90, 211, 67, 236, ?
Option 1: 143
Option 2: 45
Option 3: 40
Option 4: 38
Correct Answer: 40
Solution : Given: 90, 211, 67, 236, ?
The pattern is as follows –
So, 40 is the missing number of the series. Hence, the third option is correct.
Question : ______ is the highest peak of the Satpura range.
Option 1: Jarga
Option 2: Dhupgarh
Option 3: Amarkantak
Option 4: Delwara
Correct Answer: Dhupgarh
Solution : The correct option is Dhupgarh.
The highest peak of the Satpura range is Dhupgarh. It is located in the Pachmarhi region of Madhya Pradesh, India, and stands at an elevation of 1,350 metres (4,429 feet) above sea level. The Satpura Range is a series of
Question : A sum of Rs. 8,200 was divided among A, B and C in such a way that A had Rs. 500 more than B and C had Rs. 300 more than A. How much was C's share (in Rs.)?
Option 1: 3,100
Option 2: 2,000
Option 3: 2,300
Option 4: 2,800
Correct Answer: 3,100
Solution : Let the share of B as $x$. Then, the share of A is $x + 500$ and the share of C is $x + 500 + 300 = x + 800$ The total sum of Rs. 8,200 is divided among A, B, and C. $⇒x
Question : Directions: Select the figure that will replace the question mark (?) in the following figure series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Here the pattern is as follows — 1. In the given series, the figure is moving 45° in a clockwise direction. 2. The figure is also flipping every time with one rotation. The following figure will complete the given pattern —
Hence, the fourth option is
Question : Study the given pie chart and answer the question that follows. The pie chart shows the expenditure of a family on different items and their savings throughout the year 2021.
If the total income for the year was INR 1,00,000, then the difference in the expenses (in INR) between housing and transport was:
Option 1: 9,500
Option 2: 10,500
Option 3: 9,000
Option 4: 10,000
Correct Answer: 10,000
Solution : Given, Total income for the year was INR 1,00,000 Expenses on Housing = 15% Expenses on Transport = 5% ⇒ Difference = (15% – 5%) of 1,00,000 = 10% of 1,00,000 = $\frac{10}{100}\times100000$ = INR 10,000 Hence, the correct answer is 10,000
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