Question
Who among the following goes for seminar on 25th
June? Study the following information carefully and answer the given questions: There are ten persons namely A, B, C, D, E, F, G, H, I and J. They go for seminars on 12th and 25th of different months i.e., January, March, April, June and July but not necessarily in the same order. G goes for seminar in the month which have odd number of days but not in January. Four persons goes for seminar between G and H. E did not go for seminar on an even date. G goes for seminar before H. I goes for seminar in the month which has odd numbers of days. D goes for seminar on an even date of the month which has even number of days after E. A goes for seminar just before E. Only two persons goes for seminar between I and J. F goes for seminar just after C but not in April and January. Only three persons goes for seminar between B and F. E and F goes for seminar on the same date but different months.Solution
G goes for seminar in the month which have odd number of days but not in January. Four persons goes for seminar between G and H. G goes for seminar before H. We will have two cases: If G goes for seminar on 12th March, then H will goes for seminar on 25th June. If G goes for seminar on 25th March, then H will goes for seminar on 12th July.
A goes for seminar just before E. E did not go for a seminar on an even date. F goes for seminar just after C but not in April and January. Only three persons goes for seminar between B and F. E and F goes for seminar on the same date but different months. If F goes for seminar on 25 th July, then B will goes for seminar on 25 th April and C will goes for seminar on 12 th July. E will goes for seminar on 25 th January. If F goes for seminar on 12th June, then B will goes for seminar on 12th March and C will goes for seminar on 25th April but this case will get discarded as we cannot place E.
I goes for seminar in the month which has odd numbers of days. D goes for seminar on an even date of the month which has even number of days after E. Only two persons goes for seminar between I and J. I goes for seminar on 25th March. J goes for seminar on 12th June. D goes for seminar on 12th April. 
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 40x + 300 = 0
Equation 2: y² - 30y + 216 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 97x² - 436x + 339 = 0
Equation 2: 103y² - 460y + 357 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 4x² - 12x + 9 = 0
Equation 2: 2y² + 10y + 12 = 0
I. 5x2 – 18x + 16 = 0
II. 3y2 – 35y - 52 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 30x + 221 = 0
Equation 2: y² - 28y + 189 = 0
I. 35x² - 24x – 35 = 0
II. 72y² - 145y + 72 = 0
I. y/16 = 4/yÂ
II. x3 = (2 ÷ 50) × (2500 ÷ 50) × 42 × (192 ÷ 12)
I. 3q² -29q +18 = 0
II. 9p² - 4 = 0
The roots of x² − (k+3)x + (3k − 1) = 0 are real and distinct, and the larger root exceeds the smaller by 5. Find k.
I. 7x + 8y = 36
II. 3x + 4y = 14