The cost price of 3 exam pads and 2 pencils is Rs. 96, 4 exam pads and 3 pencils cost Rs. 134. Find the total cost (in Rs.) of an exam pad and that of a pencil.
1). 36
2). 38
3). 40
4). 42
Let the cost of one exam pad be x
And the cost of one pencil be y
According to question
⇒ 3x + 2y = 96 ----(1)
⇒ 4x + 3y = 134 ----(2)
Subtract equation (1) from equation (2) we get
⇒ x + y = 38
So, total cost of an exam pad and a pencil is Rs. 38.3. If x – y – √18 = -1 and x + y – 3√2 = 1, what is the value of 12xy(x2 – y2)?
4. Which of the following is not a quadratic equation?
5. If x + y + z = 15 and x2 + y2 + z2 = 77, then find xy + yz + zx.
7. If a - b = -5 and $a^2 + b^2$ = 73, then find ab.
8. If a + b + c = 9 and ab + bc + ca = 18, then what is the value of $a^{3}+b^{3}+c^{3}-3abc$ ?
10. If x2 – 7x + 1 = 0, then the value of \(\frac{{{x^6}\; + \;1}}{{{x^3}}}\;is\)