Staff Selection Commission Combined Higher Secondary Level Exam
Question : If $a+b=3$ and $a b=2$, then what is the value of $2 a^3+2 b^3$?
Option 1: 25
Option 2: 27
Option 3: 18
Option 4: 20
Correct Answer: 18
Solution : Given, $a+b=3$ and $a b=2$ Consider, $a+b=3$ Cubing both sides, $(a+b)^3 = 3^3$ ⇒ $a^3 + b^3 + 3ab(a+b) = 27$ ⇒ $a^3 + b^3 + 3\times 2\times 3 = 27$ [Putting the given values] ⇒ $a^3 + b^3 + 18 = 27$ ⇒ $a^3
Question : How many members are there in the Public Accounts Committee?
Option 1: 22 members
Option 2: 28 members
Option 3: 30 members
Option 4: 20 members
Correct Answer: 22 members
Solution : The correct answer is 22 members.
The Public Accounts Committee is a parliamentary committee which is formed every year. It is responsible for discussing the reports of the Comptroller and Auditor General of India. It has 22 members, out of which 15 are from
Question : Directions: How many triangles are there in the given figure?
Option 1: 16
Option 2: 10
Option 3: 12
Option 4: 15
Correct Answer: 15
Solution : The given figure can be labelled as shown below –
In the above-labelled figure, there are 15 triangles. They are ADL, AEK, AFB, AGC, BFL, CGK, ABC, AHI, BJH, CJI, HIJ, ACK, ABL, ADB, ACE.
Hence, the fourth option is correct.
Question : The following sentence has been divided into four segments. Identify the segment that contains a grammatical error. Have you ever / wondered / where does / oysters come from?
Option 1: wondered
Option 2: oysters come from?
Option 3: where does
Option 4: Have you ever
Correct Answer: where does
Solution : The correct choice is the third option.
In this interrogative sentence, the correct form should be "where do" instead of "where does" to maintain agreement between the subject and the verb. The subject "oysters" is plural, and the verb "come" should also be in
Option 2: 18
Option 3: 15
Option 4: 17
Correct Answer: 16
Solution : The given figure can be labelled as shown below – Now in the above figure, there are a total of 16 triangles. They are ABI, BCI, CDI, DAI, ABC, ADC, BCD, BAD, EFI, FGI, GHI, HEI, EFG, EHG, FGH, FEH.
Therefore, there are 16 triangles
Question : Select the most appropriate idiom for the following statement. The manager was punished for his negligence in work.
Option 1: Bid defiance
Option 2: Burn one’s boats
Option 3: Bolt from the blue
Option 4: Bring to book
Correct Answer: Bring to book
Solution : The fourth option is the correct answer.
Bring to book is an idiom that means to hold someone accountable for his actions, which aligns with the context of the manager being punished for negligence at work.
The meanings of other options are as
Option 1: 8
Option 3: 11
Option 4: 9
Correct Answer: 11
In the above-labelled figure, there are a total of 11 triangles. They are CDA, EFB, CDG, FEG, ACG, BGF, GAB, GDE, GCF, DGF, EGC.
Hence, the third option is correct.
Question : Directions: In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows the given statements. Statements: I. Some red are black. II. No white is black. Conclusions: I. No black is white. II. No white is red. III. No black is red.
Option 1: Neither conclusion follows
Option 2: All conclusions follow
Option 3: Only conclusion I follows
Option 4: Both conclusions II and III follows
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): No black is white – From the Venn diagram, it is evident that there is a negative relation between black and white.
Question :
Which one of the following is an indicator of air pollution?
Option 1:
Cycas
Option 2:
Algae
Option 3: Bryophytes
Option 4: Lichens
Correct Answer: Lichens
Solution : The correct option is - Lichens
Rocks, trees, arid earth, metal, and concrete are just a few examples of the natural and man-made habitats where lichens can be found. Since they depend entirely on the atmosphere for their nutrients, they are significant as indicator species
Question : Three pipes A, B, and C can fill a tank in 6 hours. After working together for 2 hours, C is closed and A and B fill the tank in 8 hours. The time (in hours) in which the tank can be filled by pipe C alone is:
Option 1: 10
Option 2: 12
Option 3: 8
Correct Answer: 12
Solution : Time taken by A, B, and C together to fill the tank = 6 hours Part of the tank filled by A, B, and C together in an hour = $\frac{1}{6}$ Part of the tank filled by A, B, and C together in the first
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