GRE - Quantitative Reasoning - Inequalities
Sahanawaz Khan 3 months ago Quantitative Reasoning | Algebra | Inequalities
A quant question (more)
QID : 61 - If x + (1/x) = 2, then what is the value of x64 + x121?
Options:
1) 0
2) 1
3) 2
4) – 2
Answer is Option 1) 0
But How?
x+(1/x)=2 x^2-2x+1=0 (x-1)(x-1)=0 x=1 X=1; therefore 1*64 + 1*121 =64+121=185 or Iâ€™m not sure what the question means. In the expression x64 + x121, are the numbers supposed to be exponents? If so, we could evaluate easily: 1^64 + 1^121 = 1+1 = 2.
LEAP Administrator 9 months ago Quantitative Reasoning | Inequalities
If 0 < y < x, then which of the following is a possible value of (more)
If 0 < y < x, then which of the following is a possible value of
I. 8.7
II. 9.2
III. 10.8
A) I only
B) II only
C) III only
D) I and II only
E) II and III only
LEAP Administrator 11 months ago Quantitative Reasoning | Inequalities
r, s, and t are three consecutive odd integers such that r < s < t. (more)
r, s, and t are three consecutive odd integers such that r < s < t.
Quantity A : r s 1
Quantity B : s t − 1
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Since r, s, t are consecutive odd integers and r<s<t
s = r + 2
and t = r + 4
r + s + 1 = r + r + 2 + 1 = 2r + 3
s + t - 1 = r + 2 + r + 4 - 1 = 2r + 5
Quantity B is greater
Option B is correct
LEAP Administrator 11 months ago Quantitative Reasoning | Inequalities
If x<0, which of the following represents a positive number? (more)
If x<0, which of the following represents a positive number?
A) x/|x|
B) |x|/x
C) x|x|
D) -x|x|
E) x|x|
Given x < 0
=> |x| > 0
A) x/|x| = negative / positive = negative
B) |x| / x = positive / negative = negative
C) x|x| = negative * positive = negative
D) -x|x| = - negative* positive = -negative = positive ........... Correct
Option D is correct