1.

Consider the following statements.A : Remainder when 346 is divided by 33 is 1.B : Remainder when 348 is divided by 35 is 34.C : Remainder when 345 is divided by 35 is 1.Which of the following statement(s) is/are TRUE?1. Only A and C2. Only B and C3. Only A4. Only C

Answer» Correct Answer - Option 3 : Only A

GIVEN:

Three statements.

CALCULATION:

We know that:

For all-natural values of ‘a’ and ‘n’ :

When an is divided by (a – 1), then remainder will always be 1.

When an is divided by (a + 1), then remainder-

  • When ‘n’ is even, then remainder will always be 1.
  • When ‘n’ is odd, the remainder will always be ‘a’.

A:

Remainder when 346 is divided by (34 – 1) = 1

B:

Remainder when 348 is divided by (34 + 1) = 1

C:

Remainder when 345 is divided by (34 + 1) = 34

Hence, only A is TRUE. 


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