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Staff Selection Commission Combined Graduate Level Exam

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Question : The World's largest island is

Option 1: Greenland

Option 2: Iceland

Option 3: New Guinea

Option 4: Madagascar

Team Careers360 24th Jan, 2024

Correct Answer: Greenland


Solution : The correct option is - Greenland.

The largest island in the world, Greenland is located in the North Atlantic .Ocean.Huge glaciers and vast tundra are two of Greenland's most notable features. The massive ice sheet in the world, second in size only to Antarctica's, is

324 Views

Question : The sum of the cubes of two given natural numbers is 9728, while the sum of the two given numbers is 32. What is the product of the two given numbers?

Option 1: 160

Option 2: 320

Option 3: 240

Option 4: 200

Team Careers360 21st Jan, 2024

Correct Answer: 240


Solution : Let the two numbers be $a$ and $b$,
According to the question,
$a + b = 32$
and, $a^{3}$ + $b^{3} = 9728$
Now,
$(a+b)^{3} = a^{3}+b^{3}+3ab(a+b)$
⇒ $32^{3} = 9728$ + $3ab(32)$
⇒ $ab=\frac{32768 − 9728}{96}$
$\therefore$ $ab = 240$
Hence, the correct answer

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Question : In the given figure, B and C are the centres of the two circles. ADE is the common tangent to the two circles. If the ratio of the radii of both circles is 3 : 5 and AC is 40 cm, then what is the value (in cm) of DE?

Option 1: $3\sqrt{15}$

Option 2: $5\sqrt{15}$

Option 3: $6\sqrt{15}$

Option 4: $4\sqrt{15}$

Team Careers360 24th Jan, 2024

Correct Answer: $4\sqrt{15}$


Solution :

Construct: Draw a line from B to D and C to E.
Given that the ratio of the radius of both the circles is 3 : 5 and AC = 40.
Let $DB = 3x$ and $EC = 5x$.
In $\triangle ABD$ and $\triangle ACE$

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Question : The Mauryan pillar capital found at____ is popularly known as the Lion Capital.

Option 1: Bhabru

Option 2: Bairat

Option 3: Sanchi

Option 4: Sarnath

Team Careers360 14th Jan, 2024

Correct Answer: Sarnath


Solution : The correct option is Sarnath.

The Mauryan pillar capital, popularly known as the Lion Capital, was found at Sarnath, near Varanasi, in the northern Indian state of Uttar Pradesh. This capital is now an iconic symbol of India and is also featured on the national

12 Views

Question : The average score of 40 students in an examination was 25. It was later found that the marks of one student had been wrongly entered as 73 instead of 37. What is the value of the correct average?

Option 1: 24.3

Option 2: 24.1

Option 3: 24.5

Option 4: 24.7

Team Careers360 11th Jan, 2024

Correct Answer: 24.1


Solution : Given: The average score of 40 students was 25.
A wrong entry of 73 marks instead of 37 marks is also included.
Total score of the students ⇒ 40 × 25 = 1000
Difference made by the wrong entry of 73 marks instead of 37

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Question : The number 1254216 is divisible by which of the following numbers?

Option 1: 5

Option 2: 11

Option 3: 16

Option 4: 8

Team Careers360 17th Jan, 2024

Correct Answer: 8


Solution : A natural number is divisible by 5 if its unit’s digit is either 0 or 5.
So, the number 1254216 is not divisible by 5.
A number is divisible by 11 if the difference between the sum of its digits in odd places and the

17 Views

Question : Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2) and (3) which may improve the sentence. Choose the correct alternative in case no improvement is needed your answer is (4).

All his efforts to find his lost child were in vane.

  1. vein
  2. wane
  3. vain
  4. No improvement

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Team Careers360 23rd Jan, 2024

Correct Answer: 3


Solution : The correct improvement for the sentence is the third option.

"Vain" means useless, without success, or futile, which is the intended meaning in this context. This is the appropriate word to use in the sentence.

The meanings of the other options are as follows:

  • Vein
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