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UPSC Exam  >  UPSC Test  >  CSAT Preparation  >  Test: Square Root And Cube Root- 2 - UPSC MCQ

Square Root And Cube Root- 2 - Free MCQ Practice Test with solutions, UPSC


MCQ Practice Test & Solutions: Test: Square Root And Cube Root- 2 (10 Questions)

You can prepare effectively for UPSC CSAT Preparation with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Square Root And Cube Root- 2". These 10 questions have been designed by the experts with the latest curriculum of UPSC 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 10 minutes
  • - Number of Questions: 10

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Test: Square Root And Cube Root- 2 - Question 1
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How many two-digit numbers satisfy this property : The last digit (units digit) of the square of the two-digit number is 8 ?

Detailed Solution: Question 1

A number ending in 8 can never be a perfect square.
12 = 1
22 = 4
32 = 9
42 = 16
52 = 25
62 = 36
72 = 49
82 = 64
92 = 81
 

Test: Square Root And Cube Root- 2 - Question 2
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if a = 0.2917, then the value of  is :

Detailed Solution: Question 2

(as 2a<1 take (1−2a))

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Test: Square Root And Cube Root- 2 - Question 3
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A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 59.29, the number of the member is the group is:

Detailed Solution: Question 3

Money collected = (59.29 x 100) paise = 5929 paise.
∴ Number of members = √5929 = 77.

Test: Square Root And Cube Root- 2 - Question 4
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if √7 = 2.645, then find the value of 

Detailed Solution: Question 4



= 
= 1.3225 - 3.78071 + 13.225 
= 10.76679 ≈ 10.77

Test: Square Root And Cube Root- 2 - Question 5
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What is smallest number with which 5400 may be multiplied so that the product is perfect cube? 

Detailed Solution: Question 5

Find prime factors of 5400

5400=2×3×3×3×2×2×5×5

If we group them in the group of 3

5400=(2×2×2)×(3×3×3)×5×5

Here to make group of 3 for 5

We have to multiply 5400 by 5.

Test: Square Root And Cube Root- 2 - Question 6
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The square root of (14 + 2√13)(14 - 2√13) is 

Detailed Solution: Question 6

As we know that  (a²-b²) = (a+b) (a-b)
Therefore 14² - 2²x13 = 144. 
So √144 = 12.

Test: Square Root And Cube Root- 2 - Question 7
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Detailed Solution: Question 7

= [√248+√64]
= √248+8 
= √256 
= 16
 

Test: Square Root And Cube Root- 2 - Question 8
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Detailed Solution: Question 8

√1 9/16 
= √25/16 
= 5/4 
= 1 1/4.
 

Test: Square Root And Cube Root- 2 - Question 9
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Detailed Solution: Question 9

√41-√21+√19-√9
= √41-√21+√19-3
=√41-√21+√16
=√41-√21+4
=√41-√25
=√41-5
=√36
=6
 

Test: Square Root And Cube Root- 2 - Question 10
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Detailed Solution: Question 10

Cube root of (512)/125
= 8/5
Convert it into mixed fraction, we get
= 1 3/5

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About this UPSC Practice Test

This test contains 10 MCQs on Square Root And Cube Root- 2 with detailed solutions for each question. It is part of the CSAT Preparation course on EduRev, designed to align with the current UPSC 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.

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