Question

40. Find the remainder when 163+173+183+193 is divided by 70?

• A. (a) 1
• B. (b) 2
• C. (c) 0
• D. (d) 3 ​​​​​​​

Answer 1

The correct option is C

(c) 0

Ans 40: (c) Sol: We know that: a³+ b³ = (a+b) (a² – ab + b²); Clubbing 16 & 19 together and 17 & 18 together, (a+b) in both the cases becomes 35. Now, the other bracket in total has odd number in each of them respectively, hence when added, odd+odd = even. Thus the numerator is an even multiple of 35. Therefore, the remainder will be 0.