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QA – Placement Quizzes | Number Divisibility | Question 1

You have to select such 2 digit numbers that are either perfectly divisible by 5 or 9. Find the count of such numbers.

(A)



20

(B)



26

(C)

30

(D)

25


Answer: (B)
Explanation:

Numbers divisible by 5: There are 18 numbers (10, 15, 20, …, 95).

Numbers divisible by 9: There are 10 numbers (18, 27, …, 99).

Numbers divisible by both 5 and 9 (multiples of 45): 45, 90.

Total count = Numbers divisible by 5 + Numbers divisible by 9 – Numbers divisible by both Total count = 18 + 10 – 2 = 26

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