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Hello Everyone,

I came across 2 GMATPrep PS Questions which I couldn't solve. I have attached an image which shows the two questions.

Q-1 is regarding co-ordinate geometry. Can we solve it using distance or slope.

Q-2 is operations on rational numbers.. how do we take out values mention like cube root of 4 or 4 root of 4 (dunno how to mention that) (Though I got this ques correct but it was a fluke)

I came across 2 GMATPrep PS Questions which I couldn't solve. I have attached an image which shows the two questions.

Q-1 is regarding co-ordinate geometry. Can we solve it using distance or slope.

Q-2 is operations on rational numbers.. how do we take out values mention like cube root of 4 or 4 root of 4 (dunno how to mention that) (Though I got this ques correct but it was a fluke)

Help will be appreciated.

Thanks a lot,

Cheers, GR

1)

Equation of line passing through P y = -1/sqrt(3) x please observe ratio of y:x = 1:sqrt(3) Hypotenuse = sqrt(3+1) =2 =radius

equation of line passing through Q (Perpendicular to P) is y=sqrt(3)x y:x ratio sqrt(3):1 = sqrt(3)a:a 2= sqrt(sqrt(3)a ^2+a^q) = 2a --> a=1

point Q (1,sqrt(3))

s=1 Ans B _________________

Your attitude determines your altitude Smiling wins more friends than frowning

I came across 2 GMATPrep PS Questions which I couldn't solve. I have attached an image which shows the two questions.

Q-1 is regarding co-ordinate geometry. Can we solve it using distance or slope.

Q-2 is operations on rational numbers.. how do we take out values mention like cube root of 4 or 4 root of 4 (dunno how to mention that) (Though I got this ques correct but it was a fluke)

Help will be appreciated.

Thanks a lot,

Cheers, GR

2) \(M= {4}^{1/2} + {4}^{1/3} + 4^{1/4}\) \(= 2+ 2^{2/3}+2^{2/4}\) = 2+ greater than 1 + greater than 1 = greather than 4

please note that 2^0 it self 1. 2 or 4 power any positive number is greater than 1. No calculations required to solve this problem.

I hope it is clear _________________

Your attitude determines your altitude Smiling wins more friends than frowning

M = 4^1/2+4^1/3+4^1/4 =2 + 4^1/3 + 2^2^1/4 = 2+ 4^1/3+ square root(2) = 2+4^1/3+1.414(if u remember ) = 3.414+some value whihc lies betn 2 and 1.414. so max can be 5.414 and min is 4.414, both of which are >4 ans is E

it is good if u can rem roots of nos. upto 10. makes ur work that much easier here is the list root of 1 = 1 2=1.414 3=1.732 4=2 5=2.24 6=2.44 7=2.64 see the diff is 0.20 bet'n each. 8=2.82 9=3 10=3.16(remember pi?.. its the same)

I found the slope perpendicular to P via O (slope = -1/sqrt(3)), and took the negative reciprical to get the slope of Q (slope = sqrt(3)).

To satisfy the slope of Q, the only coordinates for s,t would be (1, sqrt(3))

Thus, s = 1.

x2suresh wrote:

greatchap wrote:

Hello Everyone,

I came across 2 GMATPrep PS Questions which I couldn't solve. I have attached an image which shows the two questions.

Q-1 is regarding co-ordinate geometry. Can we solve it using distance or slope.

Q-2 is operations on rational numbers.. how do we take out values mention like cube root of 4 or 4 root of 4 (dunno how to mention that) (Though I got this ques correct but it was a fluke)

Help will be appreciated.

Thanks a lot,

Cheers, GR

1)

Equation of line passing through P y = -1/sqrt(3) x please observe ratio of y:x = 1:sqrt(3) Hypotenuse = sqrt(3+1) =2 =radius

equation of line passing through Q (Perpendicular to P) is y=sqrt(3)x y:x ratio sqrt(3):1 = sqrt(3)a:a 2= sqrt(sqrt(3)a ^2+a^q) = 2a --> a=1

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