Question
If first and last digit of each number is multiplied and
then the product is added to middle two digits of the number, which resultant number gets repeated? These questions are based on the following set of numbers: Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 6523Â Â Â Â Â Â Â 8462Â Â Â Â Â Â Â 2297Â Â Â Â Â Â Â 5144Â Â Â Â Â Â Â 4739Solution
6523= 6 × 3 + 5 + 2 = 25 8462= 8 × 2 + 4 + 6 = 26  2297= 2 × 7 + 2 + 9 = 25 5144= 5 × 4 + 1 + 4 = 25 4739= 4 × 9 + 7 + 3 = 46
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 5x + 6 = 0
Equation 2: y² - 7y + 12 = 0
I. Â 3y2Â + 13y - 16 = 0
II. 3x2 – 13x + 14 = 0
If x and y satisfy x² + y² = 25 and x + y = 7, find xy.
Roots of the quadratic equation 2x2 + x – 528 = 0 is
I. 3p² - 17p + 22 = 0
II. 5q² - 21q + 22 = 0
The quadratic equation (p + 1)x 2 - 8(p + 1)x + 8(p + 16) = 0 (where p ≠-1) has equal roots. find the value of p.
I. 64x2 - 64x + 15 Â = 0 Â Â Â Â
II. 21y2 - 13y + 2Â =0
I. 3y2 + 16y + 16 = 0
II. 2x2 + 19x + 45 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 21x² - 82x + 80 = 0
Equation 2: 23y² - 132y + 85 = 0
I. x2 + 11x + 30 = 0
II. y2 + 17y + 72 = 0
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