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How many 3 digit numbers are divisible by 7?
  • a)
    125
  • b)
    126
  • c)
    127
  • d)
    128
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
How many 3 digit numbers are divisible by 7?a)125b)126c)127d)128Correc...
3 digits numbers divisible by 7 are: 105, 112, 119, ……, 994
This is an arithmetic progression series in which first term, a = 105, difference, d = 7 and last term Tn = 994
⇒ Tn = a + (n – 1) × d
⇒ 994 = 105 + (n – 1) × 7
⇒ (n – 1) × 7 = 889
⇒ n – 1 = 127
∴ n = 128 three digits numbers are divisible by 7
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Most Upvoted Answer
How many 3 digit numbers are divisible by 7?a)125b)126c)127d)128Correc...
3 digits numbers divisible by 7 are: 105, 112, 119, ……, 994
This is an arithmetic progression series in which first term, a = 105, difference, d = 7 and last term Tn = 994
⇒ Tn = a + (n – 1) × d
⇒ 994 = 105 + (n – 1) × 7
⇒ (n – 1) × 7 = 889
⇒ n – 1 = 127
∴ n = 128 three digits numbers are divisible by 7
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Community Answer
How many 3 digit numbers are divisible by 7?a)125b)126c)127d)128Correc...
3 digits numbers divisible by 7 are: 105, 112, 119, ……, 994
This is an arithmetic progression series in which first term, a = 105, difference, d = 7 and last term Tn = 994
⇒ Tn = a + (n – 1) × d
⇒ 994 = 105 + (n – 1) × 7
⇒ (n – 1) × 7 = 889
⇒ n – 1 = 127
∴ n = 128 three digits numbers are divisible by 7
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How many 3 digit numbers are divisible by 7?a)125b)126c)127d)128Correct answer is option 'D'. Can you explain this answer?
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