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What is the least perfect square which is divisible by each of 21, 36 and 66?
  • a)
    213444
  • b)
    214434
  • c)
    214344
  • 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
To make it a perfect square, it must be multiplied by 7 x 11.
So, required number = 2 * 2 * 3 * 3 * 7 * 7 * 11 * 11 = 213444

 
  • a)
    13.41
  • b)
    20.46
  • c)
    21.66
  • d)
    22.35
Correct answer is option 'D'. Can you explain this answer?

The Bold answered
3√5 + √125 = (3√5)+(√5×5×5) = (3√5)+(5√5)=8√5 =17.88

√80+6√5=(√5×2×2×2×2) + (6√5)
=4√5 + 6√5
=10√5

we know , √5=2.236
10√5=(10×2.236)=22.36 (approximately)

or

10√5=(8√5+2√5)=17.88+(2×2.236)=17.35(approximately)

so the ans is D.

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)+ (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

  • 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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