À doubt from the quiz.

[Saptadweepa Ganguly]

A set of five different positive integers has a mean (average) of 20 and a median of 18. What is the greatest possible integer in the set?

Select one:
a. 35
b. 25
c. 20
d. 60
e. 63

How to solve this question ?

What is a median ?

 

[Srijit Mukherjee]

The total sum of 5 integers is 100 (20 x 5 =100). Also, the middle number  (the median) is 18.

Say the numbers are a < b< 18 < c < L, where L is the largest number. Observe that a + b + 18 + c + L = 100.

So, a + b +c + L = 82. Also, the maximum value of L will be when a,b, c are smallest.

So, L will be maximum if a = 1, b =2,  and c = 19. i.e. the maximum value of L can be 60.

[Aritra]

i think i have already told you tomorrow in class

[Madhav Garg]

<p>The positive integers x,yx,y and zz satisfy x×y=14,y×z=10x×y=14,y×z=10 and z×x=35z×x=35</p><p><br />What is the value of x+y+z?</p>

[Kanishk Sharma]

<p>@ Madhav</p><p>we know, xy=14 => y=14/x  ; zy=1o => z . 14/x =10 =>z/x = 10/14 =5/7</p><p>=> z=5 ; x=7</p><p>substituting the value of x in xy=14,</p><p>we get y=2</p><p>=> x+y+z= 5+2+7 = 14</p>

[Author]

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