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Math MCQ Question and answer - Equations and Inequalities
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1. If a = 2b 3b=4c and 5c=6a-7 what is the value of c?
7?11
16
8?2
1?4
2. If 3212=4a-3 what is the value of a?
65
75
33
60
3. If 2y-5x=5 what is the smallest integral value of x for which y>100?
32
20
14
45
4. If a-8 = 10 - 2a then a = ?
-2
2
0
6
5. If p-11 -2p=13-5p then p=?
-4
-1
1
6
6. If x/2+x/3=1/2+1/3 then x = ?
1?3
2?3
1
2
7. If 3x+y=10 and x+y=6 then x = ?
1
2
3
4
8. If 2x+y=10 and x+y=7 then y = ?
3
4
5
9
9. If x2+3x+2 = 0 then which of the following are possible values of x? I- 1 II- (-1) III- (-2)
I only
II only
III only
II and III only
10. If 0 < a < b < 1 which of the following is (are) true I- a-b is negative II- 1/ab is positive III- 1/b-1/a is positive
I only
II only
III only
I II &amp; III
11. If x and y are negative and z is positive which of the following is (are) true I- x-y<="" y="" iii-="" 1="" z<="" td="">
I only
II only
III only
I &amp; II only
12. If x<="" td="">
y+z &lt; 2x
x+y &lt; z
x-y &lt; y-z
x+y &lt; 2z
13. p<q<="" td=""></q
6p &lt; 8q
9q &gt; 11r
12r &gt; 12p
none
14. If x>y>z which of the following cannot be true.
y+z &lt; x
2x &gt; y+z
2z &gt; x+y
none
15. If -7<a<y<="" td=""></a
13
11
15
16
16. In the above question what is the minimum integral value of y+x.
-12
-13
-14
-15
17. If a ? -b (a2-b2)/(a-b) = 40 then a+b =
20
60
400
40
18. If n = 4 and m = 7 then 1/n + 1/nm
1?14
2?7
3?7
4?15
19. 21d2 - 7d + 8 - 4d (2d-3) =
14d2+8
13d2+5d-8
8d-8
13d2+5d+8
20. (x+4)(x-5) = 10 then x is?
6
-5
both
none
21. (a10-c2)2 - (a10+c2)2 =
a20+c4
0
a10+c2
?4a10c2
22. If 1 ? -m then (12-m2)/(1+m) = 23 then 1-m =
15
25
23
13
23. If x2 -16<0 which of the following must be true.
x &gt; -4
x &lt; 4
x &lt; -4
?4 &lt; x &lt; 4
24. If y2-25<0 which of the following cannot be true.
y ? -4
y &lt; -2
y ? + 1
y ? 5
25. 7x2-4x+4-9x(2x-3)
11x2-2x
12x2+19+4
?11x2+23x+4
?11x2-18+4
26. If L#N then (LM-LN)/(N-M)=
L
M
O
?L
27. Which of the following is equivalent to 9x2-6x-3
(9x-3)(x-1)
(3x+1)2
(9x+3)(x-1)
(3x-1)2
28. (x4+y)2+(x4-y)2=
2(x6+y2)
4(x8-y4)
3(x5-y3)
2(x8+y2)
29. If 1 = m + mt2 then t =
(m-1)/t
(1-m)/mt
(1+m)/n
?(1-m)/m
30. The binomial x2-30 is exactly divisible by
x+5
x-3
x-5
x+1
31. If x is an even integer and 4x < 64 and 3x > 24 then x can be equal to
15
8
16
14
32. If a<b<c<="" td=""></b<c
a/c
a/b
b/a
c/a
33. If 6x = 2y = 3z then 9x + 5y =
10 z
12 z
15 z
18 z
34. If m > 1 and mn + 3 = 3-n then n =
?6/(m+1)
6/(1-m)
6/(m-1)
0
35. If r ? -s and a = (r-s) / (r+s) +1 then a + 1=
2r / (r+s) + 1
(r-s+1) / (r +s)
(2r-2s) / (r+s)
2s / (r+s)
36. If x = 2 and y = 3 then (1 / x + 1 / y) / (xy) =
1?9
5?36
36?5
9
37. If x > 1 and a / b = 1 - 1 / x then b/a =
x
x - 1
x ?1/x
x/(x-1)
38. Which of the following is equivalent to : 3x2 + 18x + 27
3 (x2 + 6x +3)
3(x+3)(x+6)
3(x+3)2
3x (x+6+9)
39. If an inlet pipe fills a tank in 10 hrs then part of tank filled in 1 hr.
1?5
1?10
1?15
1?8
40. If part of tank filled in one hour = 1/10 then time required to fill the tank.
8
12
10
15
41. If an inlet pipe fills a tank in 10 hrs and another inlet pipe fills the same tank in 5 hrs then time required to fill the tank when both pipes are opened.
10?3
3?10
1?3
3
42. If an outlet pipe empties a full tank in 20 hrs then part of tank emptied in one hour.
3?20
2?5
1?10
1?20
43. An inlet pipe can fill a tank in 10 hrs and an outlet pipe empties the same full tank in 20 hrs. The time required to fill the tank when both pipes are opened.
10
20
30
35
44. If A can do a piece of work in 10 days then part of work done by him in one day.
2?5
3?8
1?10
3?7
45. If As 1 days work = 1/20 then time required to finish the job (in days)
20
10
25
30
46. If A can do a job in 10 days another person B can do the same job in 20 days then time required to do the job when both of them working todether.
1?30
3?20
1?10
20?3
47. Alia can complete an assignment in 5 days and Babar can complete the same assignment is 20 days. The time taken by both Alia and Babar to complete the assignment working together is
3 days
5 days
4 days
2 days
48. Asghar can do a job in 60 days. And both Asghar and Babar can do the same job in 20 days working together. Babar alonge can do the some job in
30 days
60 days
28 days
45 days
49. X can do a job in 16 days Y can do the same job in 20 days X Y and Z can do the job in 7.5 days. Alone Z can do the same job in
100 days
120 days
80 days
48 days
50. Ahmar works twice as fast as Bina. If Bina can complete a work in 30 days the number of days taken by Ahmar and Bina to complete the work working together is
16 days
24 days
20 days
10 days
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