🧪 Mathematics MCQ Quiz Hub

1. A man can row 4.5 km an hour in still water but takes twice as long to row up a stream as down it. What is the rate of stream in km/h
1.5
2.25
3
3.75

2. If a man takes two hours to row 3 km upstream or 15 km downstream then the speed of current is:
1
2
3
4

3. A man can row 1 km upstream in 20 minutes and downstream in 15 minutes. What is the speed of the current?
1 km/h
2 km/h
1/2 km/h
1/4 km/h

4. A man rows 1 km upstream in 20 minutes and 1 km downstream in 15 minutes. What is his speed of rowing in still water?
2.5
3
3.5
4

5. A man rowing a boat covers an average distance of 7.5 km/hr. What is the distance covered after 40 minutes:
5
10
20
15

6. A man can row down a 10 mile stream in 2 hours and up in 5 hours. What is the average speed in miles per hour?
1 3?7
3 1?2
2 6?7
3

7. A man travel in his yacht downstream at d knots and returns the same distance upstream at u knots. What is his average rate for the round trip if the length of stream is 1:
du/21
dtu/21
Idu/(d+2)
2du/(d+u)

8. Imran speed of rowing in still water is 9 km/h and he finds that it takes him twice as long to row up as to row down the river. Find the speed of water in the river.
3
3 km/h
1 km/h
1

9. Speed of water in certain river is 2 km/h and it takes a boat thrice as long to row up as to row down the river. Find the speed of the boat in still water.
10 km/h
8 km/h
6 km/h
4 km/h

10. Find the value of the function x3+2+5 at = 2
15
17
18
19

11. 7n2 - 7n + 5 - (3n + 7n2) =
5 + 10n
10n - 5
?10n + 5
45 - 10n

12. If a = 3 b = -1 c = 2 which is true (I) a+b+c = 4 (II) 3a + 5b = 4 (III) 2c - 5a = 6
I only
II only
I and III
I and II

13. (7x-49) / (x-7) =
x-7
x
7
7x

14. 4x2 + 16x + 36 is equivalent to?
4(x2+4x+4)
4(x+4) (x+4)
4x (x+4+9)
4 (x2+4x+9)

15. (8/Z)+(6/Z) x (40/Z) =? If Z=2
27
32
60
64

16. (a+b)2 + (b+c)2 =
a2 + 2b2 + 2ab + c2 + 2bc
a2 + b2 + c2 + 2ab + 2bc
a2 - b2 + c2 + 2ab + 2bc
2a2 + 2b2 + 2c2 + ab + bc

17. (ab x (a+b)))/(1/a+1/b) = ? If a = 1 b = 2
3 ? 8
8 ? 4
11 ? 8
8 ? 2

18. If 9/a = 7/a2 then a = ?
7 ? 9
9 ? 7
7
9

19. If b = -3 and a = 2 then a2 + b2 + 2ab = ?
?17
?16
?7
16

20. If a x 51 x 48 x 54 = 16 x 17 x 18 then a =
1 ? 27
1 ? 250
25
27

21. (x2yz + xy2z + xyz2) / xyz
xy+xy+yz
xy+yz+zx
x+y+z
x2+y2+z2

22. (a+b)2 + (a-b)2 =
2(a2+b2)
2(a2+2b2)
4ab
4(a+b)

23. If x = 5 y=4 z=3 then which of the following is true? (I) x+y+z = 11 (II) x+y-z = -6 (III) x+Y+z = 12 (IV) -x+y-z = -4
I and II
III and IV
all
none

24. (12a2 - 144a) / (a-12) = ?
12a
12a2
11a
144axa

25. (9/a)+(21/a)x(36/a)=? If a = 3
80
120
100
87

26. (x+y)2 + (y+z)2 =
x2+y2+z2+2xy+4yz
x2+y2+z2+4xy+2yz
x2+2y2+z2+2y(x+z)
x2+2y2+z2+2x(y+z)

27. If 17-m = 12-n then m-n =?
5
4
3
2

28. (p2-q2) / (p+q) = 50 then p-q = ?
25
45
49
50

29. (x+y)2 - (x-y)2 =
2(x2-y2)
2(x2+y2)
2x2-2y2-2xy
4xy

30. If 12/m = 15/m2 then m =
5?4
3?5
?5?3
?3?5

31. If x = (p+q)/(p-q) then x-1 = ?
q/p-q
2q/(p+q)
2p(p-q)
2q/(p-q)

32. If p+q = 4 q+r = -2 r+p=3 then p+q+r =?
2?5
5?2
6?2
5

33. If 5a=2b=40c what is the value of 8a+5b in terms of c?
10c
164c
52c
25c

34. If p=10/(q+2) what is value of pq is terms of p?
2(5-P)
10/p
3(p-5)/p
2(p-5)/p

35. Divide (x-y)/(x+y) by (y+x)/(y-x) =
?1
0
1
?(x-y)2/(x+y)2

36. The trinomial x2+x-20 is exactly divisible by:
x-5
x+4
x-10
x-4

37. If a = p + prt they r = ?
(a-1) / t
(a-p) / pt
a-p-pt
a/t

38. (a3+b)2 - (a3-b)2 +
?4a3b
0
(2ab)2
4a3b

39. If (5w)(5x) = 5y/5z what is z in terms of w x and y?
y/wx
y-w-x
w+x-y
y-wx

40. What is the sum of 3x3 + 7x2 - 7 and 5x2+8x-9?
3x3 + 12x2 + 8x - 16
8x3 + 7x2 - 16
3x3 + 5x2 + 8x - 2
none

41. Subtract 5x2-9x-10 from 8x2+10x-25
3x2 + x + 15
3x2 - 19x - 15
?3x2 - 19x + 15
13x2 + x - 35

42. (1000002)2 - (999998)2
2000000
1000000
4000000
4

43. If (1/x-x)2 = 50 what is the value of 1/x2+x2
2
48
52
can not be determined

44. can not be determined
4x2-30x+86
5x2-7x-56
?x2-34x-86
x2+34x+86

45. If 1/x+1/y=1/z and xy = z what is the average of x and y?
0
1?2
1
z/2

46. If a2-b2 = 21 and a2+b2=29 which of the following could be the value of ab? I- -10 II- 5?2 III- 10
I only
II only
III only
I and III only

47. If a2+b2 = 8 and (a-b)2 = 4 what is the value of ab?
1
2
?2
3

48. Which of the following is equal to (z+1/z)2-(z-1/z)2?
0
4
1/z2-z2
2/z2-2z2

49. What is the value of a2-b2/a-b when a = 12.3 and b = 13.2?
30
25.5
20
37.6

50. If x2 - y2 = 58 and x-y=4 what is the average of x and y?
13
27
2
3.6