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Joined: 19 Nov 2020
Posts: 326
Given Kudos: 64
GRE 1: Q160 V152
How many integers between 13
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Updated on: 29 Jul 2021, 06:58
Updated on: 29 Jul 2021, 06:58
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75% (01:20) correct
25% (01:08) wrong based on 4 sessions
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How many integers between 13 and 217 inclusive are divisible by 7 with the remainder 4?
A) 31
B) 30
C) 29
D) 28
E) 27
A) 31
B) 30
C) 29
D) 28
E) 27
Originally posted by motion2020 on 27 Jul 2021, 15:45.
Last edited by motion2020 on 29 Jul 2021, 06:58, edited 2 times in total.
Last edited by motion2020 on 29 Jul 2021, 06:58, edited 2 times in total.
Re: How many integers between 13
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28 Jul 2021, 00:29
28 Jul 2021, 00:29
1
Range : 13 to 217
A no. with remainder \(4\) after divided by \(7\)
Nos will be 18, 25, 32, ... , 214
In an arithmetic series : T_n \(= a + (n-1)d\)
where,
T_n = \(n^{th}\) term
\(a =\) first term
\(d =\) common difference
\(214 = 18 + (n-1)7\)
\(n = 29\)
Answer C
A no. with remainder \(4\) after divided by \(7\)
Nos will be 18, 25, 32, ... , 214
In an arithmetic series : T_n \(= a + (n-1)d\)
where,
T_n = \(n^{th}\) term
\(a =\) first term
\(d =\) common difference
\(214 = 18 + (n-1)7\)
\(n = 29\)
Answer C
