Useful for those preparing for Entrance Test of Class 11

1. Math Quiz General
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2. 1. What is the value of x if 2, x and 8
are in continued proportion?

3. As 2:x::x:8
x^2 = 16
So, x= 4, -4

4. 2. What is the outer surface area of a
hollow cylinder with radius ‘r’ and
height ‘h’?

5. As the cylinder is hollow, it has only
the curved surface area.
So, it is 2ᴨrh

6. 3. What is the value of ɑ+β if ɑ & β are
the roots of 3x^2 +5x -2 =0?

7. 3(x^2 +5x/3 - ⅔)=0 gives
(x-ɑ) (x-β) = x^2 +5x/3 - ⅔
x^2 -(ɑ+β)x+ɑβ =x^2 +5x/3 - ⅔
ɑ+β= -5/3

8. 4. What is quotient when the product
of any two expressions is divided by
LCM?

9. For any two expressions a & b
a*b = HCF*LCM
So, (a*b)/LCM = HCF

10. 5. What is the union of two
non-collinear rays with same common
end point?

11. Angle

12. 6. Which of the following is equal to
(1+sinA)?
2cos^2 (A/2) -1
1- 2sin^2 (A/2)
(sin A/2 +cos A/2)^2
(cos A/2 -sin A/2)^2

13. (1+sinA)=
sin^2 A/2+cos^2 A/2+ 2sinA/2 cos A/2
= (sin A/2 +cos A/2)^2

14. 7. What kind of matrix has its
determinant 0?

15. Singular Matrix

16. 8. Let A, B & X are matrices. What is the
value of X if XA=B?

17. (B)(A^-1)

18. 9. What is the spread or scatter-ness of
observations called in a statistical data?

19. Dispersion
Or Deviation

20. 10. There are special measures used to
indicate where most values in a
statistical distribution fall. What are
such measures of determining typical
value of a data set called ?

21. Measures of Central Tendency

22. 11. Which one is true according to
theorem of alternendo if a:b::c:d?
b:a::d:c
a:c::b:d
a:d::b:c
a+b=c+d

23. b:a::d:c is Intertendo
a:c::b:d is Alternendo
(a+b):b::(c+d):d is Componendo
(a-b):b::(c-d):d is Dividendo

24. 12. For x, y & z, if x>y & y>z then x>z.
What is this property called?
Anti-reflective; Anti-symmetry;
Transitive; Multiplication

25. x≮ x & x≯ x is Anti-reflective;
x<y ⇒y≮ x is Anti-symmetry;
x>y & y>z ⇒ x>z is Transitive;
x<y & z>0 ⇒xz<yz is Multiplication

26. 13. What are the factors of
a(a-b+c)-bc ?

27. (a-b)(a+c)

28. 14. Tickets numbered 1 to 20 are mixed up
and then a ticket is drawn at random. What is
the probability that the ticket drawn has a
number which is a multiple of 3 or 5?

29. Here, S = {1, 2, 3, 4, ...., 19, 20}.
Let E = event of getting a multiple of 3 or 5
= {3, 6 , 9, 12, 15, 18, 5, 10, 20}.
Hence, P(E) = n(E)/n(S) = 9/20.

30. 15. Which of the following is incorrect?

31. The correct difference law is

32. 16. For any two real numbers x and y, lx+yl is
equals to lxl+lyl
equals to x+y
less than or equals to x+y
less than or equals to lxl+lyl

33. lx+yl is
less than or equals to lxl+lyl

34. 17. The interval satisfying 3≤2x-1≤5 is
[2,3]
(2,3)
[3,5]
(3,5)

35. 3≤2x-1≤5
3+1≤2x≤5+1
4/2≤x≤6/2
Hence, correct answer is [2,3]

36. 18. Let f:[0,∞)→[0,2] be defined by
f(x)=(2x)/(1+x), then f is
One to one
Onto
Both
Neither

37. One to one
???

38. 19. What is equal to f(2) if f(x) is a continuous
function and takes only rational values and
f(0) =3?
5, 0, 1, None

39. Since f(x) is a continuous function and attains only rational
values, f(x) must be a constant function i.e. f(x) =3
Hence f(2) =3
So the option for answer is NONE

40. 20. For which angle the given equation is correct?

41. abcosx = absinx gives
x= 45 degrees