Question 31

A child was asked to add first few natural numbers (i.e. 1 + 2 + 3 + …) so long his patience permitted. As he stopped, he gave the sum as 575. When the teacher declared the result wrong, the child discovered he had missed one number in the sequence during addition. The number he missed was

Solution

If the child adds all the numbers from 1 to 34, the sum of the numbers would be 1+2+3+...+34 = 34*35/2 = 595
Since the child got the sum as 575, he would have missed the number 20.

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CAT 2002 QA Question

A child was asked to add first few natural numbers (i.e. 1 + 2 + 3 + …) so long his patience permitted. As he stopped, he gave the sum as 575. When the teacher declared the result wrong, the child discovered he had missed one number in the sequence during addition. The number he missed was

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