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Staff Selection Commission Combined Graduate Level Exam

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Question : If PT is a tangent at T to a circle whose centre is O and OP = 17 cm and OT = 8 cm, find the length of the tangent segment PT.

Option 1: 13 cm

Option 2: 14 cm

Option 3: 16 cm

Option 4: 15 cm

Team Careers360 22nd Jan, 2024

Correct Answer: 15 cm


Solution :
Let the tangent drawn from point P to the circle meet it at point T.
Let O be the centre of the circle
Given, OP = 17 cm and OT = 8 cm
We know that tangent makes a right angle with radius at

19 Views

Question : Select the INCORRECTLY spelt word.

Option 1: Sabbatical

Option 2: Confluence

Option 3: Sinhaleese

Option 4: conform

Team Careers360 24th Jan, 2024

Correct Answer: Sinhaleese


Solution : The third option is correct.

The incorrectly spelt word in the given options is sinhaleese. The correct spelling is sinhalese, referring to the people or language of Sri Lanka.

15 Views

Question : If the force applied on the object is in the direction opposite to the direction of motion, the speed of the object_____.

Option 1: increases

Option 2: stops

Option 3: decreases

Option 4: no effect

Team Careers360 22nd Jan, 2024

Correct Answer: decreases


Solution : The correct option is decreases.

If the force applied on the object is in the direction opposite to the direction of motion, the speed of the object will decrease. This is because the force is acting against the motion, causing deceleration or slowing down.

15 Views

Question : Select the sentence with the appropriate use of adverb of frequency.

Option 1: Radha goes to Nagpur with great affection.

Option 2: Radha goes to Nagpur for her office work.

Option 3: Radha often goes to Nagpur.

Option 4: Radha goes to Nagpur to meet her uncle.

Team Careers360 25th Jan, 2024

Correct Answer: Radha often goes to Nagpur.


Solution : The correct choice is the third option.

The adverb of frequency always describes how often something occurs, either in definite or indefinite terms. For example: weekly, monthly, yearly, often, rarely, etc.

So, as we can see in option three, there

8 Views

Question : Three cubes of iron whose edges are 6 cm, 8 cm, and 10 cm, respectively, are melted and formed into a single cube. The edge of the cube formed is:

Option 1: 12 cm

Option 2: 14 cm

Option 3: 16 cm

Option 4: 18 cm

Team Careers360 24th Jan, 2024

Correct Answer: 12 cm


Solution : Given: The edges of three cubes are 6 cm, 8 cm, and 10 cm.
Let the edge of the unknown cube be a.
According to the question,
Volume of the 1st cube + Volume of the 2nd cube + Volume of the 3rd cube

28 Views

Question : Which part of the Indian Constitution deals with the Directive Principles of State Policy?

Option 1: Part I

Option 2: Part III

Option 3: Part IV

Option 4: Part V

Team Careers360 23rd Jan, 2024

Correct Answer: Part IV


Solution : The Correct Answer is-  Part IV

Part IV of the Indian Constitution contains a set of rules known as the Directive Principles of State Policy. The application of the Directive Principles is outlined in Article 37 of the Indian Constitution. These tenets seek to

28 Views

Question : A man travelled a distance of 99 km in 9 hours. He travelled partly on foot at the rate of 9 km/hr and partly on bicycle at the rate of 18 km/hr. What is the distance (in km) travelled on foot?

Option 1: 36

Option 2: 54

Option 3: 63

Option 4: 45

Team Careers360 21st Jan, 2024

Correct Answer: 63


Solution : Let the time travelled on foot be $x$ hours, and the time travelled on bicycle is = $(9-x)$ hours
So, the distances travelled on foot and bicycle are 9x km and 18(9 – x) km, respectively.
Here, $9x + 18(9-x) = 99$
⇒ $9x =

9 Views

Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".

William Shakespeare is the greatest of (all other) writers.

(1) all the

(2) any other

(3) the other

(4) No Improvement

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Team Careers360 22nd Jan, 2024

Correct Answer: 1


Solution : The first option is appropriate because 'greatest' is the superlative degree of the adjective 'great' and should be followed by 'all the' rather than 'all other' which makes the sentence contextually correct. All the other options fall out of context.

Therefore, the correct statement should

22 Views

Question : Directions: In the following question, select the related number from the given alternatives.
243 : 819 :: 163 : ?

Option 1: 487

Option 2: 563

Option 3: 572

Option 4: 593

Team Careers360 22nd Jan, 2024

Correct Answer: 487


Solution : Given:
243 : 819 :: 163 : ?

Like, 243 : 819→243 + (2 × 4 × 3)2 = 243 + 242 = 243 + 576 = 819
Similarly, 163 : ?→163 + (1 × 6 × 3)2 = 163 + 18

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