The roots of the equation 4x-3*2x+2+32=0 would include-

**Option 1 : 2**,

**3**Option 2 : 1, 2, 3 Option 3 : 1, 2 Option 4 : 4, 8

Given equation is 2^2x – 3.2^x * 2^2 + 32 = 0

2^2x – 12.2^x + 32 = 0

let y = 2^x

y – 12y + 32 = 0

solve y=8 or y=4

2^x = 8

x = 3

and 2^x = 4

x = 2

2 and 3

Ques 82 : Choose the correct answer.

If ax =b, by=c and cz =a, then the value of xyz is:

Option 1 : 0 **Option 2 : 1** Option 3 : 2 Option 4 : 3

By substituting values c^z = a (Eq. i) but we know that c = b^y, so suthis value in Eq. 1, we get b^(yz) = a. (Eq. 2) we also know that b = a^x, again sustituting this in eq. 2 we get a^xyz = a. therefore xyz=1.

Ques 83 : Choose the correct answer.

If x = 1+2*1/2 and y=1-2*1/2, then x^2+y^2 is –

Option 1 : 2 Option 2 : 3 **Option 3 : 6 **Option 4 : 0

Just solve the problem.

Ques 84 : Choose the correct answer.

If 4x+3 = 2x+7, then the value of x is:

Option 1 : 3 Option 2 : 2 **Option 3 : 1 **Option 4 : None of these

Just solve the problem.

Ques 85 : Choose the correct answer.

2x+y = 2*(2)1/2 and 2x-y = 21/2,the value of x is:

**Option 1 : 1 **Option 2 : 2 Option 3 : 3 Option 4 : 4 Option 5 : None of these

Just solve the problem.

Ques 86 : Choose the correct answer.

If x = 8, y = 27, the value of (x4/3+y2/3)1/2 is:

**Option 1 : 5 **Option 2 : 6 Option 3 : 7 Option 4 : 8 Option 5 : None of these

Just solve the problem.

Ques 87 : Choose the correct answer.

If xy = yx and x = 2y, the value of y is:

Option 1 : 1 **Option 2 : 2 **Option 3 : 3 Option 4 : 4 Option 5 : None of these

Just solve the problem.

Ques 88 : Choose the correct answer.

If 2x * 3y = 18 and 22x * 3y= 36, the value of x is:

Option 1 : 0 **Option 2 : 1** Option 3 : 2 Option 4 : 3 Option 5 : None of these

Just solve the problem.

Ques 89 : Choose the correct answer.

What is the value of 50^0 ?

Option 1 : 0 **Option 2 : 1 **Option 3 : 50 Option 4 : None of these

Value of x^0 is always 1.

Ques 90 : Choose the correct answer.

What is the value of 6^-2 ?

**Option 1 : 1/36** Option 2 : 36 Option 3 : -36 Option 4 : None of these