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Test: Squares And Square Roots- 1 - UPSC MCQ


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10 Questions MCQ Test CSAT Preparation - Test: Squares And Square Roots- 1

Test: Squares And Square Roots- 1 for UPSC 2024 is part of CSAT Preparation preparation. The Test: Squares And Square Roots- 1 questions and answers have been prepared according to the UPSC exam syllabus.The Test: Squares And Square Roots- 1 MCQs are made for UPSC 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Squares And Square Roots- 1 below.
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Test: Squares And Square Roots- 1 - Question 1

Which of the following is a perfect square number?

Detailed Solution for Test: Squares And Square Roots- 1 - Question 1

The answer is 1681 because it is the only number which has it's last digit as a number which a perfect square can have . 9×9=81 the last digit is 1.

Test: Squares And Square Roots- 1 - Question 2

Which of the following would end with digit 1?

Detailed Solution for Test: Squares And Square Roots- 1 - Question 2

Option B is correct because the unit digit of 161 is 1 and if unit digit of any digit ends with 1 the its square will also end with 1.

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Test: Squares And Square Roots- 1 - Question 3

Which of the following is not a perfect square?

Detailed Solution for Test: Squares And Square Roots- 1 - Question 3

Option 1:
√576 = 24

Option 2:
√841 = 29

Option 3:
√778 = 27.89 It is not perfect square

Option D:
√529 = 23

Hence, the answer is option C.

Test: Squares And Square Roots- 1 - Question 4

The smallest even number whose square root and cube root both exists as a natural number is:

Detailed Solution for Test: Squares And Square Roots- 1 - Question 4

The next smallest perfect square is 4.
The next smallest perfect cube is 8.
Since 4 is even, it is the smallest even number whose square root and cube root both exists as a natural number.
Therefore, the answer is (D) 64.

Test: Squares And Square Roots- 1 - Question 5

When a square number ends in _______, the number whose square it is, will have either 4 or 6 in unit’s place.

Detailed Solution for Test: Squares And Square Roots- 1 - Question 5

Test: Squares And Square Roots- 1 - Question 6

 Sum of squares of two numbers is 145. If square root of one number is 3, find the other number.

Detailed Solution for Test: Squares And Square Roots- 1 - Question 6

Test: Squares And Square Roots- 1 - Question 7

Find the perfect square number between 30 and 40.

Detailed Solution for Test: Squares And Square Roots- 1 - Question 7

Since, 1 x 1 = 1

         2 x 2 = 4

         3 x 3 = 9

         4 x 4 = 16

         5 x 5 = 25

         6 x 6 = 36

         7 x 7 = 49

 

Thus, 36 is a perfact square number between 30 and 40.

Test: Squares And Square Roots- 1 - Question 8

All square numbers end with __________ at unit’s place.

Detailed Solution for Test: Squares And Square Roots- 1 - Question 8

The numbers ending with 0 gives 0,numbers ending with 1,9 gives 1, numbers ending with 2,8 gives 4, numbers ending with 3,7 gives 9, numbers ending with 5 gives 5 and numbers ending with 4,6 gives 6. Hence we get only 0,1,4,5,6,9 at the unit's place.

Test: Squares And Square Roots- 1 - Question 9

What is the square root of 0.053361? 

Detailed Solution for Test: Squares And Square Roots- 1 - Question 9

√0.053361
= √(5.3361 × 10(-2))
= √(5.3361) × √(10(-2))
= ±2.31 × 0.1
= ±0.231

Test: Squares And Square Roots- 1 - Question 10

How many numbers lie between square of 12 and 13

Detailed Solution for Test: Squares And Square Roots- 1 - Question 10

122 = 12*12 = 144

132 = 13*13 = 169

Now numbers are between144 and 169 are:

145, 146, 147,.............168

Total number = 24

So total numbers lies between 144 and 169 is 24

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