Question map
Not attempted
Correct
Incorrect
★
Bookmarked
Loading…
Q33
(CAPF/2018)
Science & Technology › Basic Science (Physics, Chemistry, Biology) › Quantitative aptitude topics
Answer Verified
If the number 22 *54 x46 x 10s ic610 x 1512 x814 x2016 xlOie x2S20 is divisible by 10n, then which one of the following is the maximum value of n?
Result
Your answer:
—
·
Correct:
D
Explanation
To find the maximum value of n for 10^n, we calculate the total exponent of 5 in the product (since the exponent of 2 is higher). The fives are derived from: 5^4 (4 fives), 10^8 (8 fives), 15^12 (12 fives), 20^16 (16 fives), 10^18 (18 fives), and 25^20 = (5^2)^20 (40 fives). Summing these: 4 + 8 + 12 + 16 + 18 + 40 = 98. The number of 2s in the prime factorization is 124. Thus, the number of pairs (2, 5) is 98, making n = 98.
How others answered
Each bar shows the % of students who chose that option.
Green bar = correct answer, blue outline = your choice.
Community Performance
Out of everyone who attempted this question.
50%
got it right
✓ Thank you! We'll review this.