Two sentries were on duty outside a barracks. One faced up the road to watch for anyone approaching from the North. The other looked down the road to see if anyone approached from the South. Suddenly one of them said to the other, “Why are you smiling?” How did he know that his companion was smiling?
Answer: Although the guards were looking in opposite directions, they were not back to back. They were facing each other.
Solution:
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How do you calculate 1+2+3+4+5+6+7+8+9+10 quickly?
Answer: 55
Solution:
Answer : 55
The series “1+2+3+4+5+6+7+8+9+10” can be considered as the sum of the first 10 Natural numbers.
The generalized formula to find the sum of first N natural numbers is
(N * (N + 1) ) /2
For the series given, the value of N is 10
So substituting value of N in the generalized formula
( 10 * (10 + 1) ) / 2
= (10 * 11 ) / 2
= 110/2
Correct answer = 55
Answer : 55
The series “1+2+3+4+5+6+7+8+9+10” can be considered as the sum of the first 10 Natural numbers.
The generalized formula to find the sum of first N natural numbers is
(N * (N + 1) ) /2
For the series given, the value of N is 10
So substituting value of N in the generalized formula
( 10 * (10 + 1) ) / 2
= (10 * 11 ) / 2
= 110/2
Correct answer = 55