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Staff Selection Commission Combined Graduate Level Exam

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Question : If 60% of the students in a school are boys and the number of girls is 812, how many boys are there in the school?

Option 1: 1128

Option 2: 1218

Option 3: 1821

Option 4: 1281

Team Careers360 12th Jan, 2024

Correct Answer: 1218


Solution : Let the total number of students be $x$.
Boys = 60%
Girls = 40%
According to the question,
$\frac{40x}{100} = 812$
$\therefore x = 2030$
The total number of students = 2030
Now, number of boys = (total number of students – number of girls)

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Question : At low temperatures, lead behaves as a:

Option 1: semiconductor

Option 2: superconductor

Option 3: insulator

Option 4: conductor

Team Careers360 12th Jan, 2024

Correct Answer: superconductor


Solution : The correct option is a superconductor.

At low temperatures of 7.2 Kelvin, lead exhibits phase transitions towards superconductivity. In 1913, this finding was made. Lead's electrical resistivity falls to zero at this temperature, sometimes referred to as the critical temperature. The transition is so abrupt

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Question : In the given figure, ABC is a right-angled triangle, $\angle$ABC = 90° and $\angle$ACB = 60°. If the radius of the smaller circle is 2 cm, then what is the radius (in cm) of the larger circle?

Option 1: 4

Option 2: 6

Option 3: 4.5

Option 4: 7.5

Team Careers360 24th Jan, 2024

Correct Answer: 6


Solution : Given: ABC is a right-angled triangle. $\angle$ABC = 90°, $\angle$ACB = 60°, and the radius of the smaller circle is 2 cm.

$\angle$ACB = 60° so, $\angle$ACP = $\angle$PCB = 30°
In $\triangle$CPD,
$\sin30°=\frac{PD}{CP}$
⇒ CP = 2 × 2 = 4 cm
In $\triangle$CQE,

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Question : The midpoints of AB and AC of a $\triangle ABC$ are X and Y, respectively. If BC + XY = 18 cm, then the value of BC – XY is:

Option 1: 12 cm

Option 2: 6 cm

Option 3: 8 cm

Option 4: 4 cm

Team Careers360 13th Jan, 2024

Correct Answer: 6 cm


Solution :

In $\triangle ABC$, $XY\parallel BC$ and $XY = \frac{1}{2}BC$.
Given: $BC + XY = 18$ cm
So, $BC + \frac{1}{2}BC = 18$
⇒ $BC = \frac{18}{1.5} = 12$
The length of $BC$ is 12 cm.
$BC - XY = BC - \frac{1}{2}BC = \frac{1}{2}BC$

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Question : Directions: A man walks 7 km towards the south and turns to the left. After walking 5 km, he turns to the right and walks 7 km. In which direction is he now from the starting point?

Option 1: West

Option 2: South

Option 3: South-East

Option 4: North-East

Team Careers360 20th Jan, 2024

Correct Answer: South-East


Solution : Firstly, we will draw the diagram according to the instructions given in the question –

Now, we have to find the direction of the end point from the starting point.

So, he is in the southeast direction from the starting point. Hence, the third option 

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Question : The ratio of the two numbers is 6 : 7 and their HCF is 3. Their LCM is _____.

Option 1: 124

Option 2: 128

Option 3: 122

Option 4: 126

Team Careers360 23rd Jan, 2024

Correct Answer: 126


Solution : Ratio = 6 : 7
HCF = 3
First number = $6\times 3 = 18$
Second number = $7\times 3 = 21$
So, LCM of 18 and 21 = 3 × 6 × 7 = 126
Hence, the correct answer is 126.

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Question : Select the idiom that can correctly replace the underlined part of the given sentence.
I know she really wants the promotion, but she really hit me below the hand by telling the boss about my personal problems.

Option 1: hit me the bricks

Option 2: hit me below the books

Option 3: hit me below the bottle

Option 4: hit me below the belt

Team Careers360 25th Jan, 2024

Correct Answer: hit me below the belt


Solution : The fourth option is the correct choice.

The idiom hit me below the belt means to act unfairly or in an underhanded manner, often by using tactics that are considered beyond the bounds of acceptable behaviour. In the context of the

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Question : Select the sentence with the appropriate use of preposition.

Option 1: By means of rope ladders they scaled the wall.

Option 2: Along with means of rope ladders they scaled the wall.

Option 3: in means of rope ladders they scaled the wall.

Option 4: Of means of rope ladders they scaled the wall.

Team Careers360 20th Jan, 2024

Correct Answer: By means of rope ladders they scaled the wall.


Solution : The sentence with the appropriate use of the preposition is the first option.

Explanation: The preposition by is used to indicate the means or method by which an action is performed. In this context, by means of

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