Which of the following statement(s) is/are TRUE?
I. 199 + 299 + 399 + 499 + 599 is exactly divisible by 5
II. 3111 > 1714
Show answer & explanation
Correct answer: A
Explanation
The correct option is 1.
= reminder of (1) .
= reminder of ((−1)49 × 2) reminder of 3.
= reminder of (−3) = reminder of 2.
= reminder of 4.
And,
= reminder of 0.
So, reminder of
= 0.
So, (I) is true.
Now, we can say that :
3411 > 3111.
or, (2 × 17)11 > 3111.
or, 1711 × 24 × 24 × 23 > 3111.
Now, 1711 × 17 × 17 × 17 > 1711 × 24 × 24 × 23.
So, 1711 × 17 × 17 × 17 > 3111.
or, 1714 > 3111.
So, (II) is not correct.
A is correct choice.