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All questions of Square Root and Cube Root for Interview Preparation Exam

Can you explain the answer of this question below:

  • A:

    0.1

  • B:

    10

  • C:

    10000

  • D:

    1000

The answer is C.

Juhi Desai answered
Squaring both side,
⇒ 0.000256 x a = 2.56
⇒ a = 2.56/0.000256
⇒ a = 10000
 
 
Clear all your doubts with EduRev

The square root of 16641 is
  • a)
    129
  • b)
    121
  • c)
    211
  • d)
    229
Correct answer is option 'A'. Can you explain this answer?

Nikita Singh answered
Step 1:
  • We now need to obtain the digital root of the number. Here's how you do it:
  • Split the number up and add each digit together:
    1 + 6 + 6 + 4 + 1 = 18
  • If the answer is more than one digit, you would add each digit of the answer together again:
    1 + 8 = 9
  • What is the digital root of number 16,641?
    Answer: 9
Step 2:
  • So now we know the digital root of 16,641 is 9. Is 9 in the list of digital roots that are always a square root (1, 4, 7 or 9)?
  • Answer: YES, 9 is in the list of digital roots that are always perfect squares. We can conclude that 16,641 could be a perfect square!
Factoring
  • OK, so now we know that 16,641 could be a perfect square. We have to find the factors of the number to be sure.
  • Here are all of the factors of 16,641:
    (1 x 16,641) (3 x 5,547) (9 x 1,849) (43 x 387) (129 x 129)
Hence the answer is 129.
 

Can you explain the answer of this question below:

  • A:

  • B:

    7/36

  • C:

    36/7

  • D:

The answer is c.

Meera Rana answered
► Using identity, (a-b)2 = a2 + b2 - 2ab
► Here a = √7 and b = 1/√7
 
= (√7)2 + (1/√7)2 - 2. √7.1/√7
= 7 + 1/7 - 2
= 5 + 1/7
= 36/7

The least perfect square, which is divisible by each of 21, 36 and 66 is:
  • a)
    213444
  • b)
    214344
  • c)
    214434
  • d)
    231444
Correct answer is option 'A'. Can you explain this answer?

Ishani Rane answered
L.C.M of 21,36,66=2772
Now, 2772=2*2*3*3*7*11
Hence to make it a perfect square , it must be multiplied by 7*11
∴ The required number is 2^2*3^3*7^2*11^2 
= 213444

If the product of three consecutive positive integers is 15600 then the sum of the squares of these integers is 
  • a)
    1777
  • b)
    1785
  • c)
    1875
  • d)
    1877
Correct answer is option 'D'. Can you explain this answer?

Aravind Mehta answered
Finding the Consecutive Integers
To determine three consecutive positive integers whose product equals 15600, we can denote them as n, n+1, and n+2.
Calculating the Approximate Value of n
1. Start with the equation: n(n + 1)(n + 2) = 15600.
2. To estimate n, we can take the cube root of 15600.
- The cube root of 15600 is approximately 24.
- Thus, we can start checking integers around this value.
Testing Consecutive Integers
1. Testing n = 24:
- The integers are 24, 25, and 26.
- Their product: 24 * 25 * 26 = 15600 (correct).
Calculating the Sum of Squares
Now, we need to find the sum of the squares of these integers:
1. The integers are 24, 25, and 26.
2. Calculating the squares:
- 24^2 = 576
- 25^2 = 625
- 26^2 = 676
Summing the Squares
- Now, add these squares together:
- 576 + 625 + 676 = 1877.
Conclusion
The sum of the squares of the integers 24, 25, and 26 is 1877.
Thus, the correct answer is option 'D'.

The cube root of 0.000729 is
  • a)
    0.09
  • b)
    0.9
  • c)
    0.21
  • d)
    0.11
Correct answer is option 'A'. Can you explain this answer?

Elite Coaching Classes answered
To find the cube root of 0.000729, we recognize that 0.000729 can be expressed as (0.09)3.
Therefore, the cube root of 0.000729 is 0.09, which confirms that option 1 (0.09), is the correct answer.

  • a)
    2.24
  • b)
    1.24
  • c)
    1.34
  • d)
    2.34
Correct answer is option 'D'. Can you explain this answer?

EduRev CAT answered
Step 1:
We know,
22 = 4 and 2.52 = 6.25

So, 5.4756 lies between 4 and 6.25.
Hence, √5.4756 lies between 2 and 2.5.
Step 2:
Try 2.34:
(2.34)2 = (2.3 + 0.04)2

= (2.3)2 + 2 × 2.3 × 0.04 + (0.04)2

= 5.29 + 0.184 + 0.0016
= 5.4756
Step 3:
Since (2.34)2 = 5.4756,

therefore √5.4756 = 2.34

Option (d) is correct.

  • a)
    0.1
  • b)
    10
  • c)
    10000
  • d)
    1000
Correct answer is 'C'. Can you explain this answer?

Janhavi Yadav answered
Squaring both side,
⇒ 0.000256 x a = 2.56
⇒ a = 2.56/0.000256
⇒ a = 10000
 
 

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