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1. Find the sum of first 500 odd numbers.
300000 | 25000 | 250000 | 30000 |
2. If you find the sum of the cubes of the first n natural numbers, which n gives you a sum of 4356?
10 | 11 | 12 | 13 |
3. Which one of the following is NOT a sum of cubes of the first n natural numbers?
1 | 23409 | 8521 | 441 |
4. Sum of first n even numbers = ?
Sum of first n odd number + n | Sum of first n natural numbers - Sum of first n odd numbers | Sum of first n odd numbers - n | Sum of first n odd numbers - Sum of first n natural numbers |
5. Among the following relationships, which one is INCORRECT?
Sum of cubes of first n natural numbers = [Sum of first n natural numbers]$^{2}$ | Sum of first n even numbers = Sum of first n odd numbers + n | Sum of first n natural numbers = 2 × Sum of first n even numbers | Sum of squares of first n natural numbers = 2 × Sum of squares of first n even numbers |
6. If you find the sum of the squares of the first n natural numbers, which n gives you a sum of 1240?
12 | 13 | 15 | 18 |
7. Which one of the following is NOT a sum of squares of the first n natural numbers?
420 | 385 | 506 | 650 |
8. The ratio of squares of first n natural numbers to square of sum of first n natural numbers is 17:325. The value of n is:
15 | 25 | 30 | 35 |
9. What is the sum of the squares of the first 20 natural numbers (1 to 20)?
2870 | 5650 | 2000 | 44100 |
10. The sum of the squares of the first 15 positive integers is equal to 1240. What is the sum of the squares of the second 15 positive integers?
2480 | 3490 | 6785 | 8215 |
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