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Narenn
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You’re absolutely right Kevinmum .. Kudos for the reasoning !
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All we can infer from this statement is the sides are not equal and its an obtuse angle triangle. Hence the square of the largest side is greater than the sum of the other two sides.

Here is a quick recap on the properties of sides in a triangle-

Let’s a, b and c are three sides of a triangle. Assume c is the side with greatest length.

Acute Angle Triangle => c^2 c^2 = a^2 + b^2

Obtuse Angle Triangle => c^2 > a^2 + b^2
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Nov 13 - Problem Solving Question 1

Within equilateral triangle A, circle B is inscribed; within circle B, square C is inscribed; within square C, circle D is inscribed; within circle D, square E is inscribed; within square E, circle F is inscribed; finally, within circle F, equilateral triangle G is inscribed.

What is the ratio of the area of triangle A to the area of triangle G?

(A) 4 √2 : 1
(B) 8 : 1
(C) 8 √2 : 1
(D) 16 : 1
(E) 16 √2 : 1

Source: Manhattan Prep | Difficulty : Hard

gmatophobia
Nov 13 - Problem Solving Question 2

The angles in a triangle are x, 3x, and 5x degrees. If a, b, and c are the lengths of the sides opposite to angles x, 3x, and 5x respectively, then which of the following must be true?

I) c > a + b
II) c : a : b = 10 : 6 : 2
III) c^2 > a^2 + b^2

Source: GMAT Club Tests | Difficulty Level: Hard

Nov 14 - PS Question 1

If 1 + x^4 + x^3 + x^2 + x = 80, then the average (arithmetic mean) of x, x^2, x^3, x^4 and x^5 is equal to which of the following?

A. 12x
B. 13x
C. 14x
D. 16x
E. 20x

Source: GMAT Club Tests | Difficulty : Medium
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Nov 14 - DS Question 1

If n is an integer between 2 and 100 and if n is also the square of an integer, what is the value of n?

(1) n is even.
(2) The cube root of n is an integer.

Source: Official Guide | Difficulty : Medium
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Nov 14 - DS Question 1

If n is an integer between 2 and 100 and if n is also the square of an integer, what is the value of n?

(1) n is even.
(2) The cube root of n is an integer.

Source: Official Guide | Difficulty : Medium
All squares between 2 and 100 include 4,9,16,25,36,49,64 and 81.
Statement 1:. There are more than 1 even numbers from the list. So it’s insufficient
Statement 2: the cubes of numbers between 2 and 100include 8,27,64. So we can deduce that n is 64. Sufficient.
Answer is B
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Here is a quick recap on the properties of sides in a triangle-

Let’s a, b and c are three sides of a triangle. Assume c is the side with greatest length.

Acute Angle Triangle => c^2 c^2 = a^2 + b^2

Obtuse Angle Triangle => c^2 > a^2 + b^2
Kudos. I now reason right
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Nov 14 - PS Question 2

If f(x) = x^2 − 5, which of the following statements are true?

I. f(−2) = −|f(−2)|
II. f(1) < |f(−1)|
III. f(2) < |f(2)|

A. I only
B. II only
C. III only
D. I and III only
E. I, II, and III

Source: others (PS Butler) | Difficulty: Medium
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Nov 14 - PS Question 2

If f(x) = x^2 − 5, which of the following statements are true?

I. f(−2) = −|f(−2)|
II. f(1) < |f(−1)|
III. f(2) < |f(2)|

A. I only
B. II only
C. III only
D. I and III only
E. I, II, and III

Source: others (PS Butler) | Difficulty: Medium
E, all 3 are true
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Nov 14 - DS Question 1

Is xy > 25 ?

(1) x + y = 8
(2) (x + y)^2 < 81

Source: GMAT Club Test (PS Butler) | Difficulty: Medium
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Join Manhattan Advanced Quant Masterclass on YouTube --> redirect.php?id=xhf6yc78wz
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Nov 14 - PS Question 2

If n ≤ −5. which of the following has the least value?

A. 1/(n + 3)^2

B. –1/(n + 3)^2

C. 1/(n + 3)

D. 1/(n + 4)

E. 1/(n − 4)

Source: Others (PS Butler) | Difficulty: Medium
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Nov 14 - PS Question 2

If n ≤ −5. which of the following has the least value?

A. 1/(n + 3)^2

B. –1/(n + 3)^2

C. 1/(n + 3)

D. 1/(n + 4)

E. 1/(n − 4)

Source: Others (PS Butler) | Difficulty: Medium
B

B
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Nov 14 - PS Question 2

If n ≤ −5. which of the following has the least value?

A. 1/(n + 3)^2

B. –1/(n + 3)^2

C. 1/(n + 3)

D. 1/(n + 4)

E. 1/(n − 4)

Source: Others (PS Butler) | Difficulty: Medium
D

Narenn
Join Manhattan Advanced Quant Masterclass on YouTube --> redirect.php?id=xhf6yc78wz
Really good session
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Nov 14 - PS Question 1

If 1 + x^4 + x^3 + x^2 + x = 80, then the average (arithmetic mean) of x, x^2, x^3, x^4 and x^5 is equal to which of the following?

A. 12x
B. 13x
C. 14x
D. 16x
E. 20x

Source: GMAT Club Tests | Difficulty : Medium

Topic of the day

Link: Weighted Average and Mixture Problems on the GMAT
Posted By : Veritas Prep Blog | Compiled by : Bunuel

Happy Reading Everyone ! :)
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PS Question 1 - Nov 15

Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and 75 % fescue. If a mixture of X and Y contains 30% ryegrass, what percent of the weight of the mixture is X?

A. 10%
B. 33 1/3%
C. 40%
D. 50%
E. 66 2/3%

Source: Official Guide | Difficulty : Medium
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PS Question 1 - Nov 15

Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and 75 % fescue. If a mixture of X and Y contains 30% ryegrass, what percent of the weight of the mixture is X?

A. 10%
B. 33 1/3%
C. 40%
D. 50%
E. 66 2/3%

Source: Official Guide | Difficulty : Medium
B
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PS Question 1 - Nov 15

Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and 75 % fescue. If a mixture of X and Y contains 30% ryegrass, what percent of the weight of the mixture is X?

A. 10%
B. 33 1/3%
C. 40%
D. 50%
E. 66 2/3%

Source: Official Guide | Difficulty : Medium
B
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