Math, asked by geniusno0001, 10 months ago

if a number contains 50 digits then the square of the number must contain 99 or 100 digits.
True or False.
with examples
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Answers

Answered by Anonymous
4

Answer:

21. Both are true

Usually, the square of the number with n digits is either of 2n or 2n-1 digits.

22. Pythagorean triplet is when sum of the squares of the lowest two digits is equal to the square of the third digit.

In the options given, Only in option d):

(8)^2 + (15)^2 = (17)^2

=> 64 + 225 = 289

=> 289 = 289

Answer:- (d)

23. In the AP:

a = 51

d = 1

l = 99

l = a + (n-1)d

=> 99 = 51 + (n-1)1

=> 48 = n - 1

=> n = 49

sum:

s = n/2(a + l)

=> s = 49/2(51+99)

=> s = 49/2(150)

=> s = 49×75

=> s = 3675

Answer:- (b) 3675

24. According to the property told in question 21, answer should be:

(c) 1005

25. Pythagorean triplet is: 2m, m^2 - 1, m^2 + 1, where largest number is m^2 + 1:

=> m^2 + 1 = 101

=> m = 10

Numbers:- 2m = 20, 99, 101

(a) is correct.

______

Answered by ksrinivasreddy70766
2

Answer:

Both are true.

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