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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : If ${P}+\frac{1}{{P}}=5$, then what is the value of ${P}^3+\frac{1}{{P}^3}$?

Option 1: 110

Option 2: 95

Option 3: 125

Option 4: 120

Team Careers360 16th Jan, 2024

Correct Answer: 110


Solution : ${P}+\frac{1}{{P}}=5$
Cubing both sides, we get,
$(a+b)^3 = a^3 + b^3 + 3ab(a+b)$
⇒ $({P}+\frac{1}{{P}})^3=5^3$
⇒ $P^3 + \frac{1}{P^3} + 3(P+\frac{1}{P})=125$
⇒ $P^3 + \frac{1}{P^3} + 3(5)= 125$
⇒ $P^3+\frac{1}{P^3}= 125-15$
⇒ $P^3 + \frac{1}{P^3} = 110$
Hence, the correct answer is 110.

13 Views

Question : Directions: In the following question, select the related number from the given alternatives.
7 : 42 :: 8 : ?

Option 1: 50

Option 2: 49

Option 3: 57

Option 4: 48

Team Careers360 22nd Jan, 2024

Correct Answer: 48


Solution : Given:
7 : 42 :: 8 : ?

Multiply the first number of each pair by 6 to obtain the second number.
Like, 7 : 42→7 × 6 = 42
Similarly, for 8 : ?→8 × 6 = 48

So, 8 is related to 48.

131 Views

Question : Anil completed a certain journey by car. If he covered 35% of the distance at 70 km/h, 40% of the distance at 80 km/h and the remaining distance at 50 km/h, his average speed (in km/h) for the entire journey is:

Option 1: $66 \frac{1}{6} $km/h

Option 2: $66 \frac{2}{3} $km/h

Option 3: $66 \frac{1}{3} $km/h

Option 4: $66 \frac{4}{3} $km/h

Team Careers360 15th Jan, 2024

Correct Answer: $66 \frac{2}{3} $km/h


Solution : Let the total distance covered be 100 km.
Distance covered in the first case = 35% of 100 = 35 km
Speed in the first case = 70 km/h
Time taken in the first case = $\frac{1}{2}$ hr
Distance covered in the second

28 Views

Question : In which of the following ways is the aggregate demand function related to the consumption function?
I. They have the same slope C.
II. The aggregate demand function is parallel to the consumption function.

Option 1: Neither I nor II

Option 2: Only II

Option 3: Only I

Option 4: Both I and II

Team Careers360 17th Jan, 2024

Correct Answer: Both I and II


Solution : The correct option is Both I and II.

I. The aggregate demand function and the consumption function may have the same slope (C) as both involve the relationship between income and spending.

II. The aggregate demand function is parallel to the consumption

70 Views

Question : Directions: Select the Venn diagram that best represents the relationship between the following classes.
Indians, Brain specialist, Surgeon

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 21st Jan, 2024

Correct Answer:


Solution : According to the general information, some Indians can be surgeons, some can be brain specialists, and some can be neither surgeons nor brain specialists. So, their circles will overlap each other and have some area in common. On the other hand, some surgeons can also be

32 Views

Question : Select the option that correctly expresses the following sentence in active voice.
This was talked about in the meeting by the officers.

Option 1: The officers were talking about in the meeting.

Option 2: The officers talked about this in the meeting.

Option 3: The officers in the meeting had talked about it.

Option 4: The officers talk about this in the meeting.

Team Careers360 23rd Jan, 2024

Correct Answer: The officers talked about this in the meeting.


Solution : The second option is the correct answer.

In the active voice sentence, the subject (the officers) performs the action of talking (the verb), and this is the receiver of that action.

The structure of the active voice sentence

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