Question
I. 3x² - 15x + 18 = 0 II. 2y² - 8y + 6 =
0 In each of the following questions, two equations are given. You have to solve both the equations to find the relation between x and y.Solution
From equation 1: 3x² - 15x + 18 = 0 Dividing by 3: x² - 5x + 6 = 0 Factorizing: (x - 3)(x - 2) = 0 So, x = 3 or x = 2. From equation 2: 2y² - 8y + 6 = 0 Dividing by 2: y² - 4y + 3 = 0 Factorizing: (y - 3)(y - 1) = 0 So, y = 3 or y = 1. Comparing x and y: • If x = 3 and y = 3, x = y. • If x = 2 and y = 3, x < y. • If x = 2 and y = 1, x > y. Thus, x can be both greater than or less than y. Answer: C
In a division sum, the divisor 'd' is 10 times the quotient 'q' and 5 times the remainder 'r'. If r = 46, the dividend will be
Rs.2420 were divided among A, B, C so that A: B=5 : 4 and B : C = 9 : 10 then C gets
If a dozen apples weigh 1.8 kg in total, how many apples will be there in 3 boxes weighing 23.250 kg each?
If A borrowed Rs. P at x% and B borrowed Rs. Q (>P) at y% per annum at simple interest at the same time, then the amount of their debts will be equal...
The sum of three consecutive even numbers is 28 more than the average of these three numbers. Then the smallest of these three numbers is
A man invested a sum of money at compound interest. It amounted to Rs. 2420 in 2 years and to Rs. 2662 in 3 years. Find the sum.
197 ___ 32 ___ 16² ___ 45 ___ 15 = 6,557
The sum of three positive numbers is 18 and their product is 162. If the sum of two numbers is equal to the third then the sum of squares of the numbers is
906 ___Â 6 ___Â `sqrt1225` Â ___Â 500 ___Â 850 = 4,935
Which of the following is the correct order?