1. It is the sum of first 13 consecutive number.
1 + 2 + 3 +--- + 13 = 91
2. The sum of consecutive squares of first 6 numbers is 91.
1^2 + 2^2 + 3^2 +4^2 +5^2 + 6^2 = 91
3. A 6 x 6 square board has 91 square in total.
4. It is a centered cube number.
5. It is a pyramidal number.
6. It is the sum of cubes of two consecutive numbers.
91 = 3^3 + 4^3
7. It is a centered 15 gonal and 30 gonal numbers.
8. The number of days in a quarter year is 91. A year has 52 weeks so a quarter year has 13 weeks, each of 7 days.
9. It is a centered hexagonal number.
1 + 6 + 12 + 18 + 24 + 30 = 91
10. It is the smallest positive integer which can be expressed as the sum of distinct squares in different ways.
91 = 1^2 + 3^2 + 9^2
= 1^2 + 4^2 + 5^2 + 7^2
11. It is a repeated digit on base 9.
91 = (111)9
Dr Rajesh Kumar Thakur
rkthakur1974@gmail.com
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