The sum of all two-digit numbers which, when divided by 4, yield unity as a remainder is
Explanation:
The given number are 13, 17 …….. 97.
This is an A.P. with first term 13 and common difference 4.
Let the number of terms be n.
Then 97 = 13 + (n – 1)4
⇒ 4n = 88
⇒ n = 22
∴ Sum of the numbers = n/2 × [First term + Last term] = 22/2 × [13 + 97] = 11 × 110 = 1210.
Hence, option (c).
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