June 28, 2022

# Most important algebra questions asked in SSC CGL

In this article , some  important algebra  questions asked in SSC CGL previous year papers  are  discussed with explanations.

1. If

then find

(i)

(ii)

(iii)

(iv)

Sol.   Given   .

Squaring both sides  we get,

. Hence

(i)  Now =

Putting     , we get

=

=1

(ii) =

(iii)  =

= =

(iv)

2.   If , then find the value of .

Sol.  Cubing both the sides , we get

[    ]

[ putting the value of ]

.     Hence

OR

We can use the following formula directly

3. If     then  find   the value of  .

Sol.  Given

Adding 2 both sides we get   . It  can be written as

Taking +ve square root of both sides, we get

Again adding 2 both the sides we get

This implies    . Hence

Now =3   ( from equ. (i) )

Thus

4. If     then find the value of   .

Sol.  To solve the above question you  can use the following formula

(i ) If  then     and

(ii) If   then

Proof. (i ) Given

Squaring both sides we get

.  Now subtracting 2 from both sides we get,

Similarly we can prove that  If   then

Now using the above formula the value of     =  .

5. If   , then find the value of .

Sol.  Dividing the given equation by , we get  .  This implies    ………… (i)

On squaring both sides we get, . It gives      ………………. (ii)

Now cubing both sides  of eqiuation (i), we get  . This implies      …………….(iii)

squaring equation (ii) we get      …………..(iv)

Now . This gives    . Thus

On putting the value of from (iii),   the value of

6. If , then what is the value of .

Sol.   Given that  .

Dividing by , we get . Now squaring both sides we get

.     This implies  .

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