How many three-digit numbers are divisible by 7? 1. 128 2. 124 3. 136 4. 132

Question

KnowledgeBoat · Accepted Answer

The three-digit numbers divisible by 7 form an Arithmetic Progression (A.P.) : 105, 112, 119, ......,994. a = 105 l = 994 d = 7 Let no. of terms be n. ∴ Tn = a + (n - 1)d ⇒ 994 = 105 + (n - 1)7 ⇒ 994 - 105 = (n - 1)7 ⇒ 889 = (n - 1)7 ⇒ = n - 1 ⇒ 127 = n - 1 ⇒ n = 127 + 1 ⇒ n = 128. Hence, option 1 is the correct option.

Mathematics

How many three-digit numbers are divisible by 7?
128
124
136
132

AP

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Mathematics

How many three-digit numbers are divisible by 7?128124136132

AP

Related Questions

Which term of the A.P. 7, 13, 19, 25,….. is 241?40th36th44th45th

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How many three-digit numbers are divisible by 7?
128
124
136
132

Which term of the A.P. 7, 13, 19, 25,….. is 241?
40th
36th
44th
45th

Which term of the A.P. 11, 8, 5, 2, ….. is −148 ?
52nd
54th
55th
57th

How many numbers lying between 20 and 200 are divisible by 4?
43
44
45
46