Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

Simplify ( 5 × 5 × 5 × 5 × 5 )5 ×(5 × 5 × 5 )5 ÷ 5 = (125)? .

Options:

15

21

13

14

Correct Answer:

13

Explanation:

 (5 × 5 × 5 × 5 × 5 )5 × (5 × 5 × 5)÷ 5 = (125)?

= (5 × 5 × 5)5 × (5 × 5)5 × (125)5 ÷ 5 = (125)?

= (125)10 × 125 × 125 × 51 × 52 = (125)?

= (125)10 + 2 + 1 = (125)?

= (125)13 = (125)?

? = 13