Quant Quiz on “ALGEBRAIC IDENTITIES” for SSC CGL 2016

For the first time SSC 2016 examination will be held in Computer Based pattern and managing time will be one of the important factor while solving the questions. So in order to make students familiar with such a situations we are providing questions in a time based manner , which will help students to manage the time properly.

 

1. If a+b+1=0 then what is the value of(a3+b3+1-3ab) ?

-1
1
3
0
Solution:

∵a+b+c=0⇒a3+b3+c3-3abc=0,
here c=1.

2.

 a
 b
 c
 d
Solution:

3.

-3
3
7
-7
Solution:

4.

113
129
123
126
Solution:

5. If x+ y3=35 and x + y=5, then value of (1/x + 1/y) is

4/7
3/8
5/6
3/5
Solution:

6.

-1
2
1
-2
Solution:

7.

a
b
 0
 2
Solution:

8. If a+b+c=8, then value of (a-4)3+(b-3)3+(c-1)3-3(a-4)(b-3)(c-1) is

2
4
1
0
Solution:

9.

 

16
20
10
5
Solution:

10.

 

51/5
29/5
52/5
39/5
Solution:

11.

 

70
50
110
55
Solution:

12. If a2+b2+c2=2(a-b-c)-3, then what is the value of 2a-3b+4c ?

3
1
2
4
Solution:

13.


19/2
17/2
18/3
15/2
Solution:

14. If (5x2-3y2 ) ∶ xy=11∶2 then what is the positive value of x/y?

5/2
3/2
5/3
7/2
Solution:

15. If ax+by=6, bx-ay=2 and x2+y2=4 then what is (a2+b2) ?

2
4
5
10
Solution:

               

 

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