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

Test: Square Root And Cube Root- 2 - UPSC MCQ


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10 Questions MCQ Test - Test: Square Root And Cube Root- 2

Test: Square Root And Cube Root- 2 for UPSC 2024 is part of UPSC preparation. The Test: Square Root And Cube Root- 2 questions and answers have been prepared according to the UPSC exam syllabus.The Test: Square Root And Cube Root- 2 MCQs are made for UPSC 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Square Root And Cube Root- 2 below.
Solutions of Test: Square Root And Cube Root- 2 questions in English are available as part of our course for UPSC & Test: Square Root And Cube Root- 2 solutions in Hindi for UPSC course. Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free. Attempt Test: Square Root And Cube Root- 2 | 10 questions in 10 minutes | Mock test for UPSC preparation | Free important questions MCQ to study for UPSC Exam | Download free PDF with solutions
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 for Test: Square Root And Cube Root- 2 - 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 for Test: Square Root And Cube Root- 2 - 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 for Test: Square Root And Cube Root- 2 - 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 for Test: Square Root And Cube Root- 2 - 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 for Test: Square Root And Cube Root- 2 - 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 for Test: Square Root And Cube Root- 2 - 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 for Test: Square Root And Cube Root- 2 - Question 7

= [√248+√64]
= √248+8 
= √256 
= 16
 

Test: Square Root And Cube Root- 2 - Question 8
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Detailed Solution for Test: Square Root And Cube Root- 2 - 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 for Test: Square Root And Cube Root- 2 - 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 for Test: Square Root And Cube Root- 2 - Question 10

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

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