Algebra - Online Test
Q2. If x = 11 then 
- 12x4+ 13
- 12
+ 12x – 5 = ?
- 12x4+ 13- 12 + 12x – 5 = ?
Answer : Option C
Explaination / Solution:
x5 – 12x4 + 13x3 + 12x2 + 12x – 5
x5 - 12x4 + 12x3 - 12x2 + 12x – 5 + x3
x5 - 11x4 - x4 + 11x3 + x3 - 11x2 - x2 + 11x + x – 5 + x3
x4 (x-11) - x3 (x-11) + x2 (x-11) – x (x-11) + x-5 + x3
= 11- 5 + (11)3
= 1331 + 6 = 1337
Q3. if a + b + c=0 then the value of
is
is
Answer : Option A
Explaination / Solution:
Q4. 
and 
, the value of 
is
and , the value of is
Answer : Option B
Explaination / Solution:
Q5. if
, then the value of 
equals
, then the value of equals
Answer : Option C
Explaination / Solution:
Q6. The value of x which satisfies the equation
Answer : Option B
Explaination / Solution:
Of the given option,
Q7. If a, b, c are three non-zero real numbers such that a + b + c = 0, and b2
ca, then the value of
s
ca, then the value of s
Answer : Option B
Explaination / Solution:
Q8. If
then the value of 
then the value of
Answer : Option B
Explaination / Solution:
Q9. If a = 25, b = 15, c = –10, then the value of
is
is
Answer : Option D
Explaination / Solution:
Q10. If 
+ 
+ 
= 1 then 
+ 
+ 
= ?
+ + = 1 then + + = ?
Answer : Option D
Explaination / Solution:
+ + = 1
+ + = 1 Let = P = 2
Q = 4
Z = 2018
Then + + = (2/3) + (4/6) + 2018/(2018+1009)
+ + = (2/3) + (4/6) + 2018/(2018+1009) (2/3) + (2/3) + (2/3) = 2
