Mathematics/Math MCQ Question and answer - Basic Algebra Sample Test,Sample questions

Question:
(1000002)2 - (999998)2

1.2000000

2.1000000

3.4000000

4.4


Question:
(12a2 - 144a) / (a-12) = ?

1.12a

2.12a2

3.11a

4.144axa


Question:
(7x-49) / (x-7) =

1.x-7

2.x

3.7

4.7x


Question:
(8/Z)+(6/Z) x (40/Z) =? If Z=2

1.27

2.32

3.60

4.64


Question:
(9/a)+(21/a)x(36/a)=? If a = 3

1.80

2.120

3.100

4.87


Question:
(a+b)2 + (a-b)2 =

1.2(a2+b2)

2.2(a2+2b2)

3.4ab

4.4(a+b)


Question:
(a+b)2 + (b+c)2 =

1.a2 + 2b2 + 2ab + c2 + 2bc

2.a2 + b2 + c2 + 2ab + 2bc

3.a2 - b2 + c2 + 2ab + 2bc

4.2a2 + 2b2 + 2c2 + ab + bc


Question:
(a3+b)2 - (a3-b)2 +

1.?4a3b

2.0

3.(2ab)2

4.4a3b


Question:
(ab x (a+b)))/(1/a+1/b) = ? If a = 1 b = 2

1.3 ? 8

2.8 ? 4

3.11 ? 8

4.8 ? 2


Question:
(p2-q2) / (p+q) = 50 then p-q = ?

1.25

2.45

3.49

4.50


Question:
(x+y)2 + (y+z)2 =

1.x2+y2+z2+2xy+4yz

2.x2+y2+z2+4xy+2yz

3.x2+2y2+z2+2y(x+z)

4.x2+2y2+z2+2x(y+z)


Question:
(x+y)2 - (x-y)2 =

1.2(x2-y2)

2.2(x2+y2)

3.2x2-2y2-2xy

4.4xy


Question:
(x2yz + xy2z + xyz2) / xyz

1.xy+xy+yz

2.xy+yz+zx

3.x+y+z

4.x2+y2+z2


Question:
4x2 + 16x + 36 is equivalent to?

1.4(x2+4x+4)

2.4(x+4) (x+4)

3.4x (x+4+9)

4.4 (x2+4x+9)


Question:
7n2 - 7n + 5 - (3n + 7n2) =

1.5 + 10n

2.10n - 5

3.?10n + 5

4.45 - 10n


Question:
A man can row 1 km upstream in 20 minutes and downstream in 15 minutes. What is the speed of the current?

1.1 km/h

2.2 km/h

3.1/2 km/h

4.1/4 km/h


Question:
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

1.1.5

2.2.25

3.3

4.3.75


Question:
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?

1.1 3?7

2.3 1?2

3.2 6?7

4.3


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

1.5

2.10

3.20

4.15


Question:
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?

1.2.5

2.3

3.3.5

4.4


Question:
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:

1.du/21

2.dtu/21

3.Idu/(d+2)

4.2du/(d+u)


Question:
can not be determined

1.4x2-30x+86

2.5x2-7x-56

3.?x2-34x-86

4.x2+34x+86


Question:
Divide (x-y)/(x+y) by (y+x)/(y-x) =

1.?1

2.0

3.1

4.?(x-y)2/(x+y)2


Question:
Find the value of the function x3+2+5 at = 2

1.15

2.17

3.18

4.19


Question:
If (1/x-x)2 = 50 what is the value of 1/x2+x2

1.2

2.48

3.52

4.can not be determined


Question:
If (5w)(5x) = 5y/5z what is z in terms of w x and y?

1.y/wx

2.y-w-x

3.w+x-y

4.y-wx


Question:
If 1/x+1/y=1/z and xy = z what is the average of x and y?

1.0

2.1?2

3.1

4.z/2


Question:
If 12/m = 15/m2 then m =

1.5?4

2.3?5

3.?5?3

4.?3?5


Question:
If 17-m = 12-n then m-n =?

1.5

2.4

3.3

4.2


Question:
If 5a=2b=40c what is the value of 8a+5b in terms of c?

1.10c

2.164c

3.52c

4.25c


Question:
If 9/a = 7/a2 then a = ?

1.7 ? 9

2.9 ? 7

3.7

4.9


Question:
If a = 3 b = -1 c = 2 which is true (I) a+b+c = 4 (II) 3a + 5b = 4 (III) 2c - 5a = 6

1.I only

2.II only

3.I and III

4.I and II


Question:
If a = p + prt they r = ?

1.(a-1) / t

2.(a-p) / pt

3.a-p-pt

4.a/t


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

1.1

2.2

3.3

4.4


Question:
If a x 51 x 48 x 54 = 16 x 17 x 18 then a =

1.1 ? 27

2.1 ? 250

3.25

4.27


Question:
If a2+b2 = 8 and (a-b)2 = 4 what is the value of ab?

1.1

2.2

3.?2

4.3


Question:
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

1.I only

2.II only

3.III only

4.I and III only


Question:
If b = -3 and a = 2 then a2 + b2 + 2ab = ?

1.?17

2.?16

3.?7

4.16


Question:
If p+q = 4 q+r = -2 r+p=3 then p+q+r =?

1.2?5

2.5?2

3.6?2

4.5


Question:
If p=10/(q+2) what is value of pq is terms of p?

1.2(5-P)

2.10/p

3.3(p-5)/p

4.2(p-5)/p


Question:
If x = (p+q)/(p-q) then x-1 = ?

1.q/p-q

2.2q/(p+q)

3.2p(p-q)

4.2q/(p-q)


Question:
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

1.I and II

2.III and IV

3.all

4.none


Question:
If x2 - y2 = 58 and x-y=4 what is the average of x and y?

1.13

2.27

3.2

4.3.6


Question:
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.

1.3

2.3 km/h

3.1 km/h

4.1


Question:
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.

1.10 km/h

2.8 km/h

3.6 km/h

4.4 km/h


Question:
Subtract 5x2-9x-10 from 8x2+10x-25

1.3x2 + x + 15

2.3x2 - 19x - 15

3.?3x2 - 19x + 15

4.13x2 + x - 35


Question:
The trinomial x2+x-20 is exactly divisible by:

1.x-5

2.x+4

3.x-10

4.x-4


Question:
What is the sum of 3x3 + 7x2 - 7 and 5x2+8x-9?

1.3x3 + 12x2 + 8x - 16

2.8x3 + 7x2 - 16

3.3x3 + 5x2 + 8x - 2

4.none


Question:
What is the value of a2-b2/a-b when a = 12.3 and b = 13.2?

1.30

2.25.5

3.20

4.37.6


Question:
Which of the following is equal to (z+1/z)2-(z-1/z)2?

1.0

2.4

3.1/z2-z2

4.2/z2-2z2


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