Question
I. 3y² - 7 y + 2= 0 II. 24x² + 26 x
– 5= 0 In the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer.Solution
I. 3y² - 7 y + 2= 0 3y² - y - 6 y + 2= 0 y (3 y – 1) – 2(3 y – 1) = 0 (y – 2) (3 y – 1) = 0 ∴ y = 2, 1/3 II. 24x² + 26 x – 5= 0 24x² - 4 x + 30 x – 5= 0 4 x(6 x – 1) + 5 (6 x – 1) = 0 (4 x + 5) (6 x – 1) = 0 ∴ x = 1/6, -5/4 Hence, x<y
What is the largest three-digit number that, when divided by both 13 and 17, leaves a remainder of 12 in each case?
- Suppose '68472m' is divisible by 6 but not divisible by 5. Find the value of (m × 3 - 2).
Sum of squares of three consecutive numbers is 1589. Find the sum of first and third number.
Gaurav ate in a restaurant and got a membership discount of 30% on the original bill amount but he has to pay 9% as service tax and 8% service charge on...
The average marks scored by boys and girls in a class are 48 and 32, respectively. The total marks obtained by the entire class is 1680, with 40 student...
- What is the largest value of 'k' that makes the number '415k27' divisible by 3?
A number gives a remainder 34 when divided by 391. What remainder will it leave when divided by 17?
- The sum of two numbers is 90 whereas the sum of their reciprocals is (30/11). Find the square of the product of the two numbers.
- When a number is divided by 63, it leaves a remainder of 34. What would be the remainder when this number is divided by 9?
The sum of a positive number 'A' and its square is 420. Find the value of (A2 - 7A).