| Question 1 UGC NET June-2020 Given below are two statements: Statement I: 5 divides n5-n whenever n is a non-negative integer. Statement II: 6 divides n3-n whenever n is a non-negative integer. In the light of the above statements, choose the correct answer from the options given below |
| A – Both Statement I and Statement II are correct |
| B – Both Statement I and Statement II are incorrect |
| C – Statement I is correct but Statement II is incorrect |
| D – Statement I is incorrect but Statement II is correct |
Show Answer With Best Explanation
Answer: A
Explanation:
Statement I: n5 – n
Example : Take n = 2 , 25- 2 = 32 – 2 = 30 , which is divided by 5.
Take n = 3 , 35 – 3 = 243 – 3 = 240 , which is divided by 5.
Statement I is true.
Statement II: n3 – n
Example : Take n = 2 , 23- 2 = 8 – 2 = 6 , which is divided by 6.
Take n = 3 , 33 – 3 = 27 – 3 = 24 , which is divided by 6.
Statement II is true.
| Question 1 UGC NET June-2020 The number of positive integers not exceeding 100 that are either odd or the square of an integer is _. |
| A – 63 |
| B – 59 |
| C – 55 |
| D – 50 |
Show Answer With Best Explanation
Answer : C