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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : In $\triangle$PQR, the angle bisector of $\angle$P intersects QR at M. If PQ = PR, then what is the value of $\angle$PMQ?

Option 1: 75°

Option 2: 80°

Option 3: 70°

Option 4: 90°

Team Careers360 26th Jan, 2024

Correct Answer: 90°


Solution :
In $\triangle$PQR, PQ = PR
⇒ $\angle$Q = $\angle$R = b
PM is the angle bisector of $\angle$P.
$\angle$QPM = $\angle$RPM = a
Apply angle sum property in $\triangle$PQR,
⇒ $\angle$P + $\angle$Q + $\angle$R = 180°
⇒ $\angle$P + b + b = 180°

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Question : A class is divided into two sections, with 20 students in one section and 30 students in the other. The pass percentages for these sections are 80% and 60%, respectively. What is the pass percentage for the entire class?

Option 1: 60%

Option 2: 68%

Option 3: 70%

Option 4: 78%

Team Careers360 27th Jan, 2024

Correct Answer: 68%


Solution : The number of students who passed
= 80% of 20 + 60% of 30
= $\frac{80 × 20}{100}$ + $\frac{60 × 30}{100}$
= 16 + 18
= 34
Now, the pass percentage of the entire class
= $\frac{\text{Number of students passed}}{\text{Total students}}$ × 100
=

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Question : Directions: In the following question, select the odd one from the given alternatives.

Option 1: AG

Option 2: CE

Option 3: BF

Option 4: GF

Team Careers360 26th Jan, 2024

Correct Answer: GF


Solution : Let's check the options –
First option: AG; A→1, G→7, A + G = 1 + 7 = 8
Second option: CE; C→3, E→5, C + E = 3 + 5 = 8
Third option: BF; B→2, F→6, B + F = 2 + 6

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Question : Air is said to be saturated when -

Option 1: It contains the maximum content of water vapour.

Option 2: Its pressure is minimum.

Option 3: Its thickness is maximum.

Option 4: It blows over the barren land.

Team Careers360 27th Jan, 2024

Correct Answer: It contains the maximum content of water vapour.


Solution : The correct option is It contains the maximum content of water vapour.

Nitrogen makes up 78% of the gas in the air, oxygen 21%, followed by argon and carbon dioxide in trace amounts. Water vapour is present in

15 Views

Question : Directions: Select the option figure in which the given figure is embedded. (rotation is NOT allowed)

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 27th Jan, 2024

Correct Answer:


Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of all the option figures, the given question figure is embedded only in the third option figure.

Hence, the third option is correct.

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Question : Directions: If the 20th of March 2001 is Tuesday, then what will be the day of the week on the 23rd of April 2021?

Option 1: Friday

Option 2: Tuesday

Option 3: Monday

Option 4: Wednesday

Team Careers360 27th Jan, 2024

Correct Answer: Friday


Solution : Given:
The 20th of March 2001 is Tuesday.

Number of days from 21st of March 2001 to 20th of March 2021 –
365 × 20 = 7300; add 5 days for leap years (2004, 2008, 2012, 2016, and 2020) = 7300 + 5 = 7305

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Question : Improve the underlined part of the sentence. Choose ‘No improvement’ as an answer if the sentence is grammatically correct.

The dog chased the ball into the neighbour’s yard.

Option 1: No Improvement

Option 2: has chasing the ball

Option 3: chase the ball

Option 4: chasing the ball

Team Careers360 26th Jan, 2024

Correct Answer: No Improvement


Solution : The correct choice is the first option.

The given sentence is in the past tense. It doesn't need any improvement, as it uses the correct verb form to maintain grammatical accuracy and report the event correctly that has happened in the past.

Therefore,

29 Views

Question : If $9\sqrt{x}=\sqrt{12}+\sqrt{147}$, then $x$ =?

Option 1: 5

Option 2: 3

Option 3: 2

Option 4: 4

Team Careers360 26th Jan, 2024

Correct Answer: 3


Solution : $9\sqrt{x} = \sqrt{12} + \sqrt{147}$
⇒ $9\sqrt{x} = 2\sqrt{3} + 7\sqrt{3}$
⇒ $9\sqrt{x} = 9\sqrt{3}$
$\therefore x = 3$
Hence, the correct answer is 3.

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