x<y<z --> n = x^2 + y^2+ z^2.. then n/(x^2+y^2+z^2) = 1+ z^2/(x^2+y^2)

we know that z^2 = x^2 +y^2.. properties of the right traingle.. therefore that is equal to 1.. Hence 1+1 =2

2) what is the alrgest interger N such that 8 is less than 5 times N is less than 43?

Options: 12, 11, 10, 9, 8

8<5n<43... Only number that satisfies this is 8..

3) Two students took science test and received diff scores b/w 10 and 100. If H equals the higher scores and L equals the lower score and the difference b/w the scores equal the average of the two scores. What is the val of H/L?

Options : 3/2, 2, 5/2, 3, 1/3

H - L = (H+L)/2 .. 2H-2L = H+L.. OR H = 3L.. OR H/L = 3/1 which is not right.. what am i missing??

4) If x = 6/7-5/6+4/5-3/4+2/3-1/2 then x is b/w..

1) -1 and -/2

2) -1/2 and 0

3) 0 and 1/2

4) 1/2 and 1

5) 1 and 3/2

Pls show a simpler way of solving...

PLS SHOW WRKS FOR ALL

This one is like.. multiply pairs with common denominators.. so you will end up with something like 36/42-35/42 + 16/20 -15/20 +4/6-1/6

then you can simplify this to 1/42 +1/20 +1/6 and you can clearly see this is between 0 and 1/2

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