Question
I. 104x² + 9x - 35 = 0 II. 72y² - 85y +
25 = 0 In the following questions two equations numbered I and II are given. You have to solve both the equations. Give answer :Solution
I. 104x² + 9x - 35 = 0 104x² + 65x - 56x - 35 = 0 13x (8x + 5) – 7(8 x + 5) = 0 (13 x - 7) (8x + 5) = 0 ∴ x = 7/13 , - 5/8 II. 72y² - 85y + 25 = 0 72y² - 40 y - 45y + 25 = 0 8y(9 y – 5) - 5 (9 y – 5) = 0 (8 y - 5)(9 y – 5) = 0 ∴ y = 5/8 , 5/9 Hence, x < y
A fraction becomes 1/6 when 4 is subtracted from its numerator and 1 is added to its denominator. If 2 and 1 are respectively added to its numerator and...
What is the highest possible sum of (u + v) if the number '6u317v4' is divisible by 12?
A man spends 1/7 of his income on food, 3/5 of his income house rent and 1/4 of his income on clothes. If he still has Rs. 200 left with him, his income...
Find the largest four-digit number which when divided by 5, 7, 9, and 12, leaves a remainder 2, 4, 6, and 9 respectively.
Find the difference between minimum and maximum value of 'h' such that '1h9843' is always divisible by 3.
Find the remainder obtained when 34 × 46 × 52 is divided by 25.
- If the 4-digit number p89q is exactly divisible by 9, what is the least value of (p + q)?
'N' is the largest three-digit number that leaves 2 as a remainder when divided by 9, 12 and 5, Find the sum of digits of 'N'.
- When a number is divided by 23, the remainder obtained is 17. What will be the remainder when three times the same number is divided by 23?
- The ratio of the number of boys to the number of girls who are present in a class is 3:2. The number of girls who are absent is 15, which is 25% of the tot...