Mathematics – Class 11 Practice Test 5

1. If x>7 then -x>-7 is ___________

2. 7>5 is ______________________

3. ax + b > 0 is _____________________

4. Find the number of 5 letter words which can be formed from word PULSE if repetition is allowed.

5. Which one is the complete set of values of x satisfying log _x2 (x + 1) > 0?

6. Find the number of 4 letter words which can be formed from word PULSE if repetition is allowed.

7. Find the number of words which can be made using all the letters of the word IMAGE. If these words are written as in a dictionary, what will be the rank of MAGIE?

8. If x₁, x₂ are real roots of ax² – x + a = 0. Then, find the set of all values of parameter ‘a’ for which |x₁ – x₁| < 1?

9. The longest side of a triangle is 2 times the shortest side and the third side is 4 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.

10. If x is a whole number and 10x≤50 then find solution set of x.