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Consider the following statements. A) Three digit number in which all digits are odd is 300. B) (411 + 411 + 411 + 411) (211 + 211) = 822 C) √121 + √12321 + √1234321 + √123454321 = 12344 Which statement(s) is/are true?

Consider the following statements. A) Three digit number in which all digits are odd is 300. B) (411 + 411 + 411 + 411) (211 + 211) = 822 C) √121 + √12321 + √1234321 + √123454321 = 12344 Which statement(s) is/are true? Correct Answer Only C

Formula:

Number of way using n different digit is = n!

Calculation:

Odd digit is 1, 3, 5, 7, 9

There are 5 numbers,

Number of three digits in which all 3 digit are odd = 5 × 5 × 5 = 125

Statement A is wrong.

(411 + 411 + 411 + 411) (211 + 211)

⇒ 411 (1 + 1 + 1 + 1) 211 (1 + 1)

⇒ 411 × 4 × 211 × 2

⇒ 811 × 8

⇒ 812

Statement B is wrong.

√121 + √12321 + √1234321 + √123454321 = 12344

⇒ 11 + 111 + 1111 + 11111

⇒ 12344

∴ Only statement C is true.

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