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Staff Selection Commission Sub Inspector Exam

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Question : Directions: When a number is added to its next number and another number that is four times its next number, the sum of these three numbers is 95. Find the number.

Option 1: 16

Option 2: 14

Option 3: 17

Option 4: 15

Team Careers360 25th Jan, 2024

Correct Answer: 15


Solution : Let, the number be x
According to the question –
x + (x + 1) + 4(x + 1) = 95
By solving the above equation –
6x + 5 = 95 
6x = 95 – 5
6x = 90
x = 90 ÷ 6

9 Views

Question : If 40% of $\frac{4}{5}$ of $\frac{3}{4}$of a number is 48, then what is 1% of the same number?

Option 1: 20

Option 2: 2

Option 3: 10

Option 4: 1

Team Careers360 25th Jan, 2024

Correct Answer: 2


Solution : Let the number be $x$.
According to the question,
40% of $\frac{4}{5}$ of $\frac{3}{4}$ of $x$ = 48
⇒ $x=48\times \frac{100}{40}\times\frac{5}{4} \times \frac{4}{3}$
⇒ $x = 200$
So, 1% of 200 = 2
Hence, the correct answer is 2.

5 Views

Question : Directions: Which answer figure will complete the question figure?

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 25th Jan, 2024

Correct Answer:


Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –

Hence, the second option is correct.

13 Views

Question : The origins of Indian music can be traced to

Option 1: Rigvedic Samhita

Option 2: Yajurvedic Samhita

Option 3: Samvedic Samhita

Option 4: Atharvavedic Samhita

Team Careers360 25th Jan, 2024

Correct Answer: Samvedic Samhita


Solution : The correct option is Samvedic Samhita.

Indian music may be traced back to the Samvedic Samhita. The Samvedic Samhitas are the four Vedas, Hinduism's sacred books. The Samaveda is one of the four Vedas and is a compilation of originally sung hymns. These

22 Views

Question : Select the most appropriate option that can substitute the underlined segment in the given sentence
I will be gone to buy a cupboard which will fit under the stairs.

Option 1: am going to buy

Option 2: will going to buy

Option 3: am going to buying

Option 4: will be buy

Team Careers360 25th Jan, 2024

Correct Answer: am going to buy


Solution : The first option is correct.

In this context, the correct phrase to use is I am going to buy, which indicates the speaker's intention or plan to purchase a cupboard. The future simple tense is used to express a future action or

6 Views

Question : Select the most appropriate ANTONYM of the given word.
Vigorous

Option 1: Buoyant

Option 2: Sturdy

Option 3: Frall

Option 4: Robust

Team Careers360 25th Jan, 2024

Correct Answer: Frall


Solution : The third option is correct.

Vigorous refers to being full of physical strength, energy, or determination. On the other hand, frail describes something or someone that is physically weak or delicate, lacking in strength and robustness.

The meanings of the other options are as follows:

17 Views

Question : The average of $n$ observations is 40. If one observation of value 80 is added, then the average of all the observations is 41. What is the value of $n$?

Option 1: 40

Option 2: 39

Option 3: 38

Option 4: 43

Team Careers360 25th Jan, 2024

Correct Answer: 39


Solution : Given: The average of $n$ observations is 40.
One observation of value 80 is added, and then the average of all the observations is 41.
The initial number of observations = $\frac{\text{(The new observation – The new average)}}{\text{The change in average}}$
⇒ $n=\frac{80–41}{1}$
⇒ $n=39$

46 Views

Question : Choose the most appropriate meaning of the underlined phrase.
He was carried off his feet when he was declared to have won the prize.

Option 1: Was wild with excitement

Option 2: Was dizzy

Option 3: Became delirious

Option 4: Danced on his toes

Team Careers360 25th Jan, 2024

Correct Answer: Was wild with excitement


Solution : The correct choice is the first option.

Explanation: The phrase "carried off his feet" is an idiom that expresses a state of being overwhelmed with a particular emotion, often excitement or joy. In this context, the intended meaning is that the person

21 Views

Question : The value of $\frac{\sin A}{\cot A+\operatorname{cosec} A}-\frac{\sin A}{\cot A-\operatorname{cosec} A}+1$ is:

Option 1: $\frac{1}{2}$

Option 2: $3$

Option 3: $0$

Option 4: $2$

Team Careers360 25th Jan, 2024

Correct Answer: $3$


Solution : $\frac{\sin A}{\cot A+\operatorname{cosec} A}-\frac{\sin A}{\cot A-\operatorname{cosec} A}+1$
$=\frac{\sin A}{\frac{\cos A}{\sin A}+\frac{1}{\sin A}}-\frac{\sin A}{\frac{\cos A}{\sin A}-\frac{1}{\sin A}}+1$
$=\frac{\sin^2 A}{\cos A+1}-\frac{\sin^2 A}{\cos A-1}+1$
$=\frac{\sin^2 A}{1+\cos A}+\frac{\sin^2 A}{1-\cos A}+1$
$=\sin^2 A[\frac{1}{1+\cos A}+\frac{1}{1-\cos A}]+1$
$=\sin^2 A[\frac{2}{1-\cos ^2A}]+1$
$=\sin^2 A[\frac{2}{\sin ^2A}]+1$
$=2+1$
$=3$
Hence, the correct answer is $3$.

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