Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

The value of remainder when

$(128 × 138 × 24 × 50 × 236 ×19)$ is divided by 9 is :

Options:

8

7

5

0

Correct Answer:

0

Explanation:

The correct answer is Option (4) → 0

$128→1+2+8=11→11\,mod\,9=2$

$138→1+3+8=11→12\,mod\,9=3$

$24→2+4=6→6\,mod\,9=6$

$50→5+0=5→5\,mod\,9=5$

$236→2+3+6=11→11\,mod\,9=2$

$19→1+9=10→10\,mod\,9=1$

$⇒(2×3×6×5×2×1)\,mod\,9$

$⇒2×3=6$

$⇒6×6=36≡0\,mod\,9$