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

OR

We can use the following formula directly

**3. If then find the value of **

**.**

**Sol. **Given

Adding 2 both sides we get

Taking +ve square root of both sides, we get

Again adding 2 both the sides we get

This implies

Now

Thus

**4. If **

**then find the value of .**

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

(i ) If

(ii) If

Proof. (i ) Given

Squaring both sides we get

Similarly we can prove that If

Now using the above formula the value of

**5. If **

**, then find the value of .**

**Sol. ** Dividing the given equation by

On squaring both sides we get, . It gives

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

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

Now

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

**6. If , then what is the value of **

**.**

**Sol. ** Given that .

Dividing by

. This implies