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How many two digit numbers are divisible by 7?
- a)13
- b)15
- c)11
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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How many two digit numbers are divisible by 7?a)13b)15c)11d)None of th...
CONCEPT:
Let us suppose a be the first term and d be the common difference of an AP. Then the nth term of an AP is given by:an = a + (n - 1) × d.
Note: If l is the last term of a sequence, then l = an = a + (n - 1) × d.
CALCULATION:
Here we have to find two digit numbers which are divisible by 7.
i.e 14, 21,............,98 is an AP sequence with first term a = 14, common difference d = 7 and the last term l = 98.
As we know that, if l is the last term of a sequence, then l = an = a + (n - 1) × d
⇒ 98 = 14 + (n - 1) × 7
⇒ 84 = 7(n - 1)
⇒ 12 = n - 1
⇒ n = 13
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How many two digit numbers are divisible by 7?a)13b)15c)11d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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