Javatpoint Logo
Javatpoint Logo

Aptitude Algebraic Expressions Test Paper 1


1) If x2+Apti Algebraic Expressions= 34,x+Apti Algebraic Expressionsis equal to

  1. 3
  2. 4
  3. 5
  4. None of these

Answer: D

Explanation:

Adding 2 to the L.H.S and R.H.S of the equation:

x2+2+Apti Algebraic Expressions=34+2[∵(a+b)2=a2+b2+2ab]

(x+Apti Algebraic Expressions)2= 36

(x+Apti Algebraic Expressions)= +6,-6


2) The value of x in the equation: 16x +Apti Algebraic Expressions= 8 is

Apti Algebraic Expressions


Answer: A

Explanation:

16x+Apti Algebraic Expressions=8

Apti Algebraic Expressions=8

16x2+1=8x

=>16x2+1-8x=0

=>(4x-1)2=0

=>x = Apti Algebraic Expressions


3) The equation whose roots are 4 and 5, is

  1. x2+9x-20=0
  2. x2+9x+20=0
  3. x2-9x+20=0
  4. x2-9x-20=0

Answer: C

Explanation:

The required equation is:
x2-(sum of roots)x+product of roots=0
=>x2-(4+5)x+4 5=0
=>x2-9x+20=0


4) The perimeter of a rectangle is 48 meters, and its area is 135 m2. The sides of the rectangle are

  1. 15 m, 9m.
  2. 19m, 5m.
  3. 45m, 3m.
  4. 27m, 5m.

Answer: A

Explanation:

Let the sides of the rectangle be x and y meters respectively. Then
2x + 2y = 48
2 (x+y) = 48
x+y = 24
y = 24 -x

We have, xy = 135
So, x (24 - x) = 135
24x - x2 = 135
x2 -24x + 135 = 0
x2 - 9x - 15x + 135 = 0
(x-9) (x -15) = 0
x = 9 m or 15 m
So, when x = 9m, y = 24 - 9 = 15m
And when x = 15, y = 24 -15 = 9 m
So, the sides of rectangle are 15m and 9m.


5) The roots of the equation (x + 3) (x - 3) = 160 are

  1. + 13
  2. 13, 13
  3. + 12
  4. 12, 12

Answer: A

Explanation:

(x + 3) (x - 3) = 160
x2 - 9 = 160
x2 = 169
x = +13, - 13


Aptitude Algebraic Expressions Test Paper 2
Aptitude Algebraic Expressions Test Paper 3
Aptitude Algebraic Expressions Test Paper 4





Please Share

facebook twitter google plus pinterest

Learn Latest Tutorials


B.Tech / MCA