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Test: Squares And Square Roots- 2


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20 Questions MCQ Test NCERT Mathematics for CAT Preparation | Test: Squares And Square Roots- 2

Test: Squares And Square Roots- 2 for Quant 2022 is part of NCERT Mathematics for CAT Preparation preparation. The Test: Squares And Square Roots- 2 questions and answers have been prepared according to the Quant exam syllabus.The Test: Squares And Square Roots- 2 MCQs are made for Quant 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Squares And Square Roots- 2 below.
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Test: Squares And Square Roots- 2 - Question 1

Four-fifth of one-eighth of 3/4th of A is 64. What is the cube root of 3/5th of A? 

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

Test: Squares And Square Roots- 2 - Question 2

Find the least number that must be subtracted from 5607 so as to get a perfect square.

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

Square of 75 is 5625 square of 74 is 5476 so use must get 5476

5607 - x is 5476

x is 131

Square root of 5476 is 74

Test: Squares And Square Roots- 2 - Question 3

What will be the number of zeros in the square of 60?

Detailed Solution for Test: Squares And Square Roots- 2 - Question 3

The square of 60 is 3600. Therefore, the number of zeroes is 2. 

Test: Squares And Square Roots- 2 - Question 4

How many natural numbers lie between 92 and 102?

Detailed Solution for Test: Squares And Square Roots- 2 - Question 4

Between 92 and 102
Here, n = 9 and n + 1 = 10
∴ Natural number between 92 and 102 are (2 × n) or 2 x 9, i.e. 18.

Test: Squares And Square Roots- 2 - Question 5

Find the square of 39.

Detailed Solution for Test: Squares And Square Roots- 2 - Question 5

(40-1)= 1600+1-80 = 1521

Test: Squares And Square Roots- 2 - Question 6

Without adding, find the sum. 1 + 3 + 5 + 7 + 9 + 11 + 13

Detailed Solution for Test: Squares And Square Roots- 2 - Question 6

Total consecutive odd numbers (n) = 7 

We know that, Sum = n2

= 72

= 49

Hence, the correct answer is 49 

Test: Squares And Square Roots- 2 - Question 7

Find the square root of 729.

Detailed Solution for Test: Squares And Square Roots- 2 - Question 7

The square root of 729 is 27.

Test: Squares And Square Roots- 2 - Question 8

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- 2 - Question 8

Test: Squares And Square Roots- 2 - Question 9

If a number has 1 or 9 in the unit’s place, then it’s square ends in ________.

Detailed Solution for Test: Squares And Square Roots- 2 - Question 9

If a number has 1 or 9 in the unit’s place, then it’s square ends in 1

Test: Squares And Square Roots- 2 - Question 10

None of the square numbers end with _________ at unit’s place.

Detailed Solution for Test: Squares And Square Roots- 2 - Question 10

According to the Property 1, A number having 2, 3, 7 or 8 at it's unit's place is never a perfect square. In other words, no square number ends in 2, 3, 7 or 8. 

Test: Squares And Square Roots- 2 - Question 11

________ is the inverse operation of square.

Detailed Solution for Test: Squares And Square Roots- 2 - Question 11

The inverse of squaring a number is square root. 

Test: Squares And Square Roots- 2 - Question 12

Find the perfect square numbers between 50 and 60.

Detailed Solution for Test: Squares And Square Roots- 2 - Question 12

Since we have 72=49 and 82=64.There is no perfect square between 50 and 60.

Test: Squares And Square Roots- 2 - Question 13

What is the least perfect square which is divisible by 2, 4 and 6?

Detailed Solution for Test: Squares And Square Roots- 2 - Question 13

LCM of 2,4,6= 2×1×2×3=12
Least perfect square which is a multiple of 12 is 36.

Test: Squares And Square Roots- 2 - Question 14

2025 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of plants in each row.

Detailed Solution for Test: Squares And Square Roots- 2 - Question 14

Let the number of rows be x
Thus, the each row contains x plants.
The total number of plants in the garden = number of rows × number of plants in each rows
Thus,
   2025=x×x
=>x=2025
=>x=  3×3×3×3×5×5
​       =3×3×5
        =45
Thus, there are 45 rows and each row contains 45 plants.

Test: Squares And Square Roots- 2 - Question 15

Find the greatest 4-digit number which is a perfect square.

Detailed Solution for Test: Squares And Square Roots- 2 - Question 15

By division method we find the root of 9999 and we get the remainder 198.So subtracting 198 from 9999 we get 9801 as the greatest 4-digit perfect square. 

Test: Squares And Square Roots- 2 - Question 16

What will be the number of zeros in the square of 400?

Detailed Solution for Test: Squares And Square Roots- 2 - Question 16

Square of 400 = 160000

Hence, the number of zeroes is 4 

Test: Squares And Square Roots- 2 - Question 17

What is smallest number with which 5400 may be multiplied so that the product is perfect cube? 

Detailed Solution for Test: Squares And Square Roots- 2 - Question 17

∛(5400 x 5) = 30

Test: Squares And Square Roots- 2 - Question 18

The largest perfect square between 4 and 50 is

Detailed Solution for Test: Squares And Square Roots- 2 - Question 18

The square of 7 is the largest number between 4 to 50.

Test: Squares And Square Roots- 2 - Question 19

Without adding,find the sum of 1+3+5+7+9+11+13+15+17+19

Detailed Solution for Test: Squares And Square Roots- 2 - Question 19

Total consecutive odd numbers = 10

Thus n = 10

Therefore sum = n × n

= 10× 10 = 100

Test: Squares And Square Roots- 2 - Question 20

Find the square root of 529.

Detailed Solution for Test: Squares And Square Roots- 2 - Question 20

Square root of 529 is 23

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