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A boy added all natural numbers from 1 to 12, however he added one number twice due to which the sum becomes 80. What is the number which he added twice?
3
2
7
8
Let’s break it down:
- The sum of all natural numbers from 1 to 12 is 1+2+...+12.
- Well, the sum formula for the first n natural numbers is n(n+1)/2. So:
12 × 13 / 2 = 78
- He made a mistake and added one number twice, so his total is 80 (which is 2 more than 78).
- So, the number he added twice must be 2, since 78 + 2 = 80.
Now, here are the options:
- 1, 3 — Adding either 1 or 3 doesn’t get us to 80.
- 2 — This fits: if he added 2 twice, sum becomes 80.
- 7 — 78 + 7 = 85, too high.
- 8 — 78 + 8 = 86, again, too high.
So the answer is Option:2, 2.
By: Parvesh Mehta ProfileResourcesReport error
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