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Staff Selection Commission Combined Graduate Level Exam

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Question : Two concentric circles are of radii 10 cm and 6 cm. Find the length of the chord of the larger circle which touches the smaller circle.

Option 1: 8 cm

Option 2: 16 cm

Option 3: 12 cm

Option 4: 9 cm

Team Careers360 24th Jan, 2024

Correct Answer: 16 cm


Solution :

We have,
OB = 10 cm and OD = 6 cm
Radius perpendicular to the tangent.
$\angle ODB$ = 90º 
Using Pythagoras' theorem in $\triangle ODB$
OB2 = OD+ BD2
⇒ 102 = 6+ BD2

21 Views

Question : A student's marks were wrongly entered as 65 instead of 45. Due to this, the average marks for the class got increased by $\frac{1}{3}$. The number of students in the class is:

Option 1: 40

Option 2: 20

Option 3: 60

Option 4: 30

Team Careers360 21st Jan, 2024

Correct Answer: 60


Solution : Let $n$ be the total number of students and $x$ be the average when the mark is counted as 45.
The average when the mark is counted as 65 is $x+\frac{1}{3}$
Now, $x$ = $\frac{\text{total marks of (n-1)students + 45}}{n}$
⇒ Total marks of $(n-1)$

127 Views

Question : Select the most appropriate ANTONYM of the underlined word.

He was compelled by everyone to join the group.

Option 1: Demur

Option 2: Obscured

Option 3: Confessed

Option 4: Induced

Team Careers360 25th Jan, 2024

Correct Answer: Induced


Solution : The correct choice is the fourth option.

Induced means to succeed in persuading or leading someone to do something opposite to what compelled means. Compelled means force or oblige (someone) to do something.

The meanings of the other options are as follows:

  • Demur means
14 Views

Question : Which food requires a longer small intestine to digest food?

Option 1: Lamb

Option 2: Eggs

Option 3: Grass

Option 4: Chicken

Team Careers360 22nd Jan, 2024

Correct Answer: Grass


Solution : The correct option is Grass.

The length of the small intestine in animals, including humans, is generally related to their diet. Animals that consume a primarily herbivorous diet, such as grass and other plant materials, often have longer small intestines compared to carnivores.

This

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Question : A boat moves downstream at a rate of 8 km/hr and upstream at 4 km/hr. The speed of the boat in still water is:

Option 1: 4.5 km/hr

Option 2: 5 km/hr

Option 3: 6 km/hr

Option 4: 6.4 km/hr

Team Careers360 25th Jan, 2024

Correct Answer: 6 km/hr


Solution : Given: A boat moves downstream at a rate of 8 km/hr and upstream at 4 km/hr.
We know, the speed of the boat in still water
$=\frac{\text{(Downstream speed + Upstream speed)}}{2}=\frac{(8+4)}{2}=\frac{12}{2}$ = 6 km/hr
Hence, the correct answer is 6 km/hr.

55 Views

Question : Select the option that can be used as a one-word substitute for the given group of words.

To give up completely or agree to forgo, especially in favour of another

Option 1: Waive

Option 2: Forfeit

Option 3: Surrender

Option 4: Cosign

Team Careers360 21st Jan, 2024

Correct Answer: Surrender


Solution : The correct choice is the third option.

The word surrender encompasses the act of giving up or yielding to someone or something, often in response to a force, pressure, or circumstance.

It involves relinquishing control, authority, or possession, especially when faced with a situation

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Question : Identify an application in which solar cells are not used.

Option 1: Radio

Option 2: Space probes

Option 3: Lift system

Option 4: Artificial satellites

Team Careers360 25th Jan, 2024

Correct Answer: Lift system


Solution : The correct option is the Lift system.

The lift system does not require solar cells to operate. It works on a combination of mechanical, electrical, and control systems. This system contains a cab that is connected to ropes, cables, or a hydraulic mechanism. Radio,

15 Views

Question : Which of the following is an indirect tax?

Option 1: Capital gains tax

Option 2: Goods and services tax

Option 3: Wealth tax

Option 4: Gift tax

Team Careers360 22nd Jan, 2024

Correct Answer: Goods and services tax


Solution : The correct answer is the Goods and services tax.

A tax on goods and services is known as the goods and services tax or GST. It is an indirect tax that was put in place to take the place of several

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Question : The optimum dissolved oxygen level ( in mg / litre ) required for survival of aquatic organisms is:

Option 1: 4 - 6

Option 2: 2 - 4

Option 3: 8 - 10

Option 4: 12 - 16

Team Careers360 25th Jan, 2024

Correct Answer: 4 - 6


Solution : The correct option is - 4 - 6

Fish and other aquatic species might die when there is not enough oxygen in the water. Water should have at least 4 mg/L of dissolved oxygen to support living things. Nearly all aquatic creatures can

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