Explore Exams
Login Signup
Sign in Open App
SSC CGL Exam  >  SSC CGL Test  >  MCQ: Square Roots and Cube Roots - 2 - SSC CGL MCQ

Square Roots and Cube - 2 - Free MCQ Practice Test with solutions, SSC


MCQ Practice Test & Solutions: MCQ: Square Roots and Cube Roots - 2 (15 Questions)

You can prepare effectively for SSC CGL with this dedicated MCQ Practice Test (available with solutions) on the important topic of "MCQ: Square Roots and Cube Roots - 2". These 15 questions have been designed by the experts with the latest curriculum of SSC CGL 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 15 minutes
  • - Number of Questions: 15

Sign up on EduRev for free to attempt this test and track your preparation progress.

MCQ: Square Roots and Cube Roots - 2 - Question 1
Save

√3100 × √567 ÷ √250 = ? ÷ 8

Detailed Solution: Question 1

√3100 × √567 ÷ √250 = ? ÷ 8

∴ required answer = 670

MCQ: Square Roots and Cube Roots - 2 - Question 2
Save

Which of the following numbers are divisible by 3 but not by 9?

Detailed Solution: Question 2

For this, calculate the sum of digits:
936: Sum of digits = 18 i.e. divisible by 3 and 9.
39987: Sum of digits = 36 i.e. divisible by 3 and 9.
2343: Sum of digits = 12 i.e. divisible by 3, but not by 9.
36: Sum of digits = 9 i.e. divisible by 3 and 9.

Clear all your doubts with EduRev
MCQ: Square Roots and Cube Roots - 2 - Question 3
Save

The least number to be subtracted from 24136 to make it a perfect square

Detailed Solution: Question 3

Let us extract the square root from 24136.

∴ 24136, is 111 more than (155)2.
So if we subtract 111 from 24136, we will get a perfect sq. number.

MCQ: Square Roots and Cube Roots - 2 - Question 4
Save

The difference of the squares of two consecutive even integers is divisible by which of the following integers?

Detailed Solution: Question 4

Let the consecutive integers(even) be 2p and (2p + 2):
= (2p + 2)2 - 2p2 = (2p + 2 + 2p)(2p + 2 -2p)
= 2(4p + 2)
= 4 (2p + 1)
Therefore, divisible by 4.

MCQ: Square Roots and Cube Roots - 2 - Question 5
Save

What is the least number to be added to 2000 to make it a perfect square?

Detailed Solution: Question 5


Clearly, the required least number is 25.

MCQ: Square Roots and Cube Roots - 2 - Question 6
Save

If the number 517 * 324 is completely divisible by 3, then the smallest whole number in place of * will be?

Detailed Solution: Question 6

For this:
= (5 + 1 + 7 + x + 3 + 2 +4)
= 22 + x
Now, 22 + x must be divisible by 3. So, for this x should be 2.
22 + 2 = 24 i.e. divisible by 3

MCQ: Square Roots and Cube Roots - 2 - Question 7
Save

7365 + (5.4)2 + √? = 7437.16

Detailed Solution: Question 7

7365 + 29.16 + √? = 7437.16

√? = 473.16 – 7394.16

√? = 43 = 1849

MCQ: Square Roots and Cube Roots - 2 - Question 8
Save

(74 × √676) − (42 × √?) = 496

Detailed Solution: Question 8

(74 × √676) − (42 × √?) = 496

MCQ: Square Roots and Cube Roots - 2 - Question 9
Save

The three numbers are in the ratio 2 : 3 : 4. The sum of their cubes is 33957. The numbers are,

Detailed Solution: Question 9

Let the ratio of numbers be x.

∴ numbers are 2x, 3x & 4x.

∴ (2x)3 + (3x)3 + (4x)3 = 33957

⇒ 8x3 + 27x3 + 64x3 = 33957

⇒ x3 = 343 ⇒ x = 7

∴ Numbers are 2×7,3×7,4×7

i.e. 14, 21, 28

MCQ: Square Roots and Cube Roots - 2 - Question 10
Save

The area of a circular play ground is   The diameter of the ground is

Detailed Solution: Question 10

r = √144 = 12m

Diameter = 24 m

MCQ: Square Roots and Cube Roots - 2 - Question 11
Save

The square of a natural number when subtracted from its cube results in 48. The number is

Detailed Solution: Question 11

Let the natural number be 'x'.

∴ x3 − x2 = 48

⇒ x2(x - 1) = 48

⇒ 42(4 - 1) = 48

∴ x = 4

MCQ: Square Roots and Cube Roots - 2 - Question 12
Save

255 ÷ 17 ÷ 5 = (?)2

Detailed Solution: Question 12


∴? = √3

MCQ: Square Roots and Cube Roots - 2 - Question 13
Save

(656 ÷ 164)2 = √?

Detailed Solution: Question 13

√? = 42 = 16

∴? = 256

MCQ: Square Roots and Cube Roots - 2 - Question 14
Save

(13)2 − (4)3 - √676 + 2 = (?)2

Detailed Solution: Question 14

169 – 64 – √676 + 2 = (?)2

= 169 – 64 – 26 + 2 = (?)2 = 171 – 90 = 81

∴ ? = 9

MCQ: Square Roots and Cube Roots - 2 - Question 15
Save

1190 ÷ √7225 × ? = 3094 =

Detailed Solution: Question 15

Information about MCQ: Square Roots and Cube Roots - 2 Page
In this test you can find the Exam questions for MCQ: Square Roots and Cube Roots - 2 solved & explained in the simplest way possible. Besides giving Questions and answers for MCQ: Square Roots and Cube Roots - 2, EduRev gives you an ample number of Online tests for practice
Download as PDF

About this SSC CGL Practice Test

This test contains 15 MCQs on MCQ: Square Roots and Cube Roots - 2 with detailed solutions for each question. It is part of the course on EduRev, designed to align with the current SSC CGL syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

Explore more SSC CGL Study Resources

If you found this MCQ: Square Roots and Cube Roots - 2 MCQ Test helpful, you can further enhance your SSC CGL preparation with in-depth courses on EduRev, for all the subjects and topics available in course. The course offers:
  • Video Lectures: covering all the topics of
  • Notes for Revision: offering revision notes, important questions, summaries, flashcards, cheatsheets & more for SSC CGL preparation
  • MCQ Test: variety of questions as per the pattern of SSC CGL exam
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup