# NATIONAL PRELIMS 2013-14 ORAL QUESTIONS CATEGORY – VI.

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NATIONAL PRELIMS 2013-14 ORAL QUESTIONS CATEGORY – VI

1.Look at the convex polygon How many triangles are formed by drawing all the diagonals from a single vertex?

2. What is the formula to find the area of a trapezoid?

3. Which integer is close to 3 √30 ?

4.Solve for g. 1 = /g+4/ a)g = 3 or g = -5 b)g=-3 or g=5 c)g=3 or g= 5 d)g = -3 or g= -5

5. Divide (-6 z 2 - 18z) by (z+3)

6. Ram takes 5 pages of notes during each hour of class. After attending 7 hours of class how many total pages of notes Ram have in his note book?

7. The median age group of a group of people is 42. The range of their ages was 25. Which shows a possible maximum and minimum age for the group of people? a)12 and 37 b) 22 and 64 c) 25 and 42 d) 35 and 60

8. 9/10 - 8/10 = a) -01 b) 0.1 c) 0.001 d) 1

9. Simplify the radical expression, where n is an odd positive integer. n √x 3n

10. Air is pumped in to a balloon. Its volume changes at a rate of (b 9 ) 3 per minute. Which is another way to write (b 9 ) 3 ?

11. Find the value of ¾(4+2) 2

12. A cylindrical can has a radius of 4.5 centimeters and height of 8 centimeters. Find its volume ?

13. A car travelled 2540 meters in 2 minutes. What is the speed of the car in km per hour?

15. Solve for x. log x ( 1 / 7 ) = - 1 / 3

16. Solve i 69, where i is the imaginary number.

17. What is the derivative of f/g, where f and g are two different functions?

18. log a b = log x a / log x b. True or False?

19. Simplify  7/4 /  3/4

20. A group of 22 scouts go for a trip. They prepare enough food to last 18 days. If 14 additional scouts join at the last minute, how many days will the food last for?

21. ____ is the derivative of log 

22. If you have n objects and take r of them in a particular order then ___ is the number of permutations.

23. Tan x = Opposite side/ Hypotenuse. True or false

24. Mohan puts Rs.600 into an account for school expenses. The account earns 13% interest, compounded annually. How much will be in the account after 5 years? a)Rs.750 b) Rs.910.67 c) Rs.1105.46d) Rs.1123.46

25. Find the derivative of √ 

26. Derivative of cos(x) sin x is cos 2 x – sin 2 x. True or False?

27. Convert the radian measures to degree measure. 2  a)180 b)270 c)360 d)120

28. The formula to calculate the mean of a sample of size 5 is different from the formula to calculate the mean of a sample of size 25

29. F(x) =  8. Find the derivative

30. 30° and  /6 radians are equal. True or False

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