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Staff Selection Commission Sub Inspector Exam

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Question : Directions: Select the option that is related to the third term in the same way as the second term is related to the first term and the sixth term is related to the fifth term.
142 : 108 :: 185 : ? :: 169 : 135

Option 1: 157

Option 2: 148

Option 3: 151

Option 4: 162

Team Careers360 15th Jan, 2024

Correct Answer: 151


Solution : Given:
142 : 108 :: 185 : ? :: 169 : 135

Subtract 34 from the given number to obtain the missing number –
Here, 142 : 108→142 – 34 = 108 
And, 169 : 135→169 – 34 = 135
Similarly, follow the same pattern

31 Views

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

Team Careers360 23rd Jan, 2024

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 –

46 Views

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

Team Careers360 13th Jan, 2024

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

6 Views

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

Team Careers360 18th Jan, 2024

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

13 Views

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: $\frac{4}{3}$

Team Careers360 24th Jan, 2024

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 $\frac{16}{9}$.

20 Views

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

Team Careers360 19th Jan, 2024

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

36 Views

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

Team Careers360 23rd Jan, 2024

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.

81 Views

Question : ______ is the highest peak of the Satpura range.

Option 1: Jarga

Option 2: Dhupgarh

Option 3: Amarkantak

Option 4: Delwara

Team Careers360 19th Jan, 2024

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

19 Views

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

Team Careers360 10th Jan, 2024

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

16 Views

Question : Directions: Select the figure that will replace the question mark (?) in the following figure series.

Option 1:

Option 2:

Option 3:

 

Option 4:

Team Careers360 11th Jan, 2024

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

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