Foundation PN-3 FBMS Quiz 2

1. If b² – 4ac > 0, is a perfect square, the nature of roots would be

2. For any sum of roots of quadratic equation, ‘a’ represents -

3. For any sum of roots of quadratic equation, ‘b’ represents -

4. When are nature of roots real rather than imaginary?

5. For what values of a and b, the product of roots would be equal to c?

6. In how many different ways can 4 different cars, one of each of the 4 manufacturers, be parked in a parking lane?

7. How many ways can 8 people get vaccinated from 8 vaccinators, assuming no vaccinator is idle?

8. What would be the factorial notation for: 11×10×9×8×7

9. According to De Morgan’s Law: (B ∩ C)′ =        .

10. In Venn diagram, Universal Set is represented by         .

11. When α and β are the roots of 5x² − 7x + 9 = 0 then find the values of α +β + 4

12. Find the square of the difference of the roots of 115+ 5(x² −12x) = 0

13. Find the value of a, if (a – 2)! × 24 = (a + 1)!

14. Find the number of permutations for 15 scooters if 3 scooters are to be considered at a time.

15.

16. If log(7y −5) = 2 , find the value of y.

17. Find the value of the logarithm of 2nd number (b) for 3 consecutive numbers (a, b, c).

18. Evalute [2^(1/3) x 8^(2/3) x 6^(-5/4) x 3^(-3/4) x 9)]/∛16

19. What will be the value of 3⁶×3⁴×3^-2×3^-3×3⁶ ?

20. What will be the value of (9³)² ?

21. If A takes 3 hours to cover a distanceof 60 km, B takes 2 hours to cover a distance of 50 km, how much time would A take more than B to cover 300 km?

22. If Toto covered 240 km at a speed of 40kmph while Scooty covered 180 km at a speed of 60 kmph, which one of them took less time to cover the distance and what was the time taken?

23. y is the yardstick to measure the performance of two vehicles, where y = Speed × Time × Distance. If Time taken by one of the vehicle (1st Vehicle) is increased by 10%, what would be the impact on the yardstick?

24. A cycle travels a distance of 300 m in every second. What is the distance covered in an hour by the cycle?

25. When a Bike had travelled for 78 km in 3 hours 45 minutes in the evening, how much distance would the Bike travelled in 2 hours?