Question
Four of the following five are alike in a certain way
and hence they form a group. Which one of the following does not belong to that group? Study the following information carefully to answer the given question: Six persons J, K, L, M, N, and O are like different cities i.e. Delhi, Mumbai, Bangalore, Chennai, Kolkata and Hyderabad and also like different fruits viz. Banana, Grapes, Mango, Apple, Orange and Guava but not necessarily in the same order. J likes Mumbai but not like Mango and Guava fruit. The one who likes Chennai is also likes Apple fruit. N likes Hyderabad but not like Mango fruit. O likes Grapes fruit. K likes Kolkata but not like Guava fruit. L likes neither Chennai nor Orange. O does not like Delhi. K does not like Mango. The one who likes Mumbai does not like Banana fruit.Solution
J likes Mumbai but not like Mango and Guava. The one who likes Chennai is also likes Apple. N likes Hyderabad but not like Mango. O likes Grapes. K likes Kolkata but not like Guava. From the given statements, L likes neither Chennai nor Orange fruit. O does not like Delhi. K does not like Mango fruit. The one who likes Mumbai does not like Banana fruit. So, the final arrangement –
I. p2 - 19p + 88 = 0  Â
II. q2Â - 48q + 576 = 0
What will be the product of smaller roots of both equations.Â
I. 12y2 + 11y – 15 = 0
II. 8x2 – 6x – 5 = 0
I. 2y2 – 19y + 35 = 0
II. 4x2 – 16x + 15 = 0
I. x2 + 24x + 143 = 0
II. y2 + 12y + 35 = 0
I. 27x6-152x3+125=0
II. 216y6Â -91y3+8=0
I. 8x² + 2x – 3 = 0
II. 6y² + 11y + 4 = 0
I. x2-2x- √5x+2√5 = 0
II. y2-√3 y- √2 y+ √6 = 0
...I. 2x2 – 25x + 33 = 0
II. 3y2 + 40y + 48 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 29x² - 137x + 108 = 0
Equation 2: 31y² - 146y + ...