Considering the positions on the number line shown, which of the following could be a value for x? A. 5/3 B. 3/5 C. -2/5 D. -5/2 E. none [spoiler]Source: majortests.com[/spoiler]

x^3 1 B is out x x^3 D is also out pick E

kvcpk wrote:x^3 1 B is out x x^3 D is also out pick E I didn't get how you threw C out.

im a little confused by kvcpk's reasoning. my thinking is the following: (-2/5) < (-8/125) < (4/25); which would mean that x<x^3<x^2

sanju09 wrote: I didn't get how you threw C out. Yeah.. I think I missed something there.. C should be the answer.

Actually C and D both can be true........ C as explained earlier, D we are not told that x>0 or all numbers are to the right of zero Hence when x = -0.4, x^3 = - 0.064, x^2 = 0.16 which also satisfies the diagram...........

mj78ind wrote:Actually C and D both can be true........ C as explained earlier, D we are not told that x>0 or all numbers are to the right of zero Hence when x = -0.4, x^3 = - 0.064, x^2 = 0.16 which also satisfies the diagram........... How is D true, my friend?

sanju09 wrote:mj78ind wrote:Actually C and D both can be true........ C as explained earlier, D we are not told that x>0 or all numbers are to the right of zero Hence when x = -0.4, x^3 = - 0.064, x^2 = 0.16 which also satisfies the diagram........... How is D true, my friend? My bad it is B and C both can be true....... B says x = 0.6, x^3 = 0.216, x^2 = 0.36 .... hence works C says x = -0.4 x^3 = -0.064 x^2 = 0.16 ..... hence works

mj78ind wrote:sanju09 wrote:mj78ind wrote:Actually C and D both can be true........ C as explained earlier, D we are not told that x>0 or all numbers are to the right of zero Hence when x = -0.4, x^3 = - 0.064, x^2 = 0.16 which also satisfies the diagram........... How is D true, my friend? My bad it is B and C both can be true....... B says x = 0.6, x^3 = 0.216, x^2 = 0.36 .... hence works C says x = -0.4 x^3 = -0.064 x^2 = 0.16 ..... hence works Why do you feel that B works?

sanju09 wrote:mj78ind wrote:sanju09 wrote:mj78ind wrote:Actually C and D both can be true........ C as explained earlier, D we are not told that x>0 or all numbers are to the right of zero Hence when x = -0.4, x^3 = - 0.064, x^2 = 0.16 which also satisfies the diagram........... How is D true, my friend? My bad it is B and C both can be true....... B says x = 0.6, x^3 = 0.216, x^2 = 0.36 .... hence works C says x = -0.4 x^3 = -0.064 x^2 = 0.16 ..... hence works Why do you feel that B works? Good ques ......... I do not know .... It should be C (unless i changed a few quant rules) Thanks

If x>0 x>x^3>x^2 x=a/b,x^3=a^3/b^3,x^2=a^2/b^2 x>x^3 a/b>a^3/b^3 a.b^3>a^3.b-->Eqn1 x^3>x^2 a^3.b^2>a^2.b^3-->Eqn2 If x x^3>x x=a/b,x^3=a^3/b^3,x^2=a^2/b^2 x^2>x^3 -->Eqn3 x^3>x--Eqn 4 A.5/3 5.27 27.5,Eqn 1 satisfied 27.25 -0.4,Eqn3 satisfied -0.064>-0.4,Eqn 4 satisfied -2/5 possible D.-5/2=-2.5 6.25>-15.625,Eqn 3 satisifed -15.625<-2.5,Eqn 4 not satisifed Only C works for both values of x