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This question belongs to Arithmetic Ability Number System
Number System
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What is the sum of all two digit numbers that gives a remainder of 3 when they are divided by 7?

Answer & Solution
Correct Answer: Option B
The two digit number which gives a remainder of 3 when divided by 7 are:
10, 17, 24 ..... 94.
Now, these number are in AP series with
1st Term, a = 10;
Number of Terms, n = 13;
Last term, L = 94 and
Common Difference, d = 7.
Sum,
$$\eqalign{ & = \left\{ {{\text{n}} \times \frac{{{\text{a}} + {\text{L}}}}{2}} \right\} \cr & = 13 \times 52 \cr & = 676 \cr} $$
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5 Comments
Lokesh Reddy
Lokesh Reddy 2 years ago
676%7 remainder is 4 wrong answer
Sajjad Hyder112
Sajjad Hyder112 4 years ago
Mozahid Mallika we are taking n 13 because 7÷(91) is 13 and 3 is reminder
Sajjad Hyder112
Sajjad Hyder112 4 years ago
Mozahid Mallika we are taking n 13 because 7÷(91) is 13 and 3 is reminder
Trc Boys
Trc Boys 6 years ago
How many two dijit numbers are there, which leave remainder 3 on dividing by 8?
Mozahid Mallik
Mozahid Mallik 8 years ago
Why i take number of terms ,n=13 ? why not any other number of terms?