Linear Equation Quiz 10

For what value of p does the system of equations 2x – py = 0,3x + 4y = 0 has non zero solution ?

For what value of p will the system of equations 3x + y = 1, (2p – 1)x + (p – 1) y = (2p + 1) has no solution ?

The income of P and Q are in the ratio 3:2 and expenses are in the ratio 5:3. If both save Rs. 200, what is the income of P?

The sum of the digits of a two digit number is 8. If the digits are reversed, the number is decreased by 54. Find the number.

The ratio between a two-digit number and the sum of digits of that number is 4 : 1. If the digit in the unit place is 3 more than the digit in the tenth place. What is that number ?

If (p, p) is the solution of system of equations ax + by + (t – s) = 0 and bx + ay + (s – r) = 0, (a ≠ b) then which of the following must be true ?

If the system of equations 4x – 5y = 6 and -12x + ay = b is inconsistent. Which of the following cannot be the value of b?

The present age of father is three times as old as his son. 5 years ago, the father was four times as old as his son. After 5 years father’s age will be ……………

If x men can do a piece of work in y days, in how many days will z men do the same work ?

In ΔABC if ∠A = x°,∠B = 3x°, ∠C = y° and 3y – 5x = 30 then ΔABC is ………………