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GMATH practice exercise (Quant Class 20) The straight lines given by the equation 2(x^2)=2(y^2)-3xy are: (A) parallel (B) intersecting and they form a 30-degrees angle (C) intersecting and they form a 45-degrees angle (D) intersecting and they form a 60-degrees angle (E) intersecting and they form ...


If (r+1/r)^2 = 5, what is the value of (r^3+1/r^3)^2?

GMATH practice exercise (Quant Class 3) If (r+1/r)^2 = 5, what is the value of (r^3+1/r^3)^2? (A) 7.75 (B) 10 (C) 12.25 (D) 15 (E) 20 $${\left( {r + {1 \over r}} \right)^2} = 5\,\,\,\,\,\left( * \right)$$ $$? = {\left( {{r^3} + {1 \over {{r^3}}}} \right)^2}$$ $$?\,\,\, = \,\,\,{\left[ {\left( {r + ...

by fskilnik@GMATH

Thu Mar 21, 2019 1:10 pm
Forum: Problem Solving
Topic: If (r+1/r)^2 = 5, what is the value of (r^3+1/r^3)^2?
Replies: 2
Views: 588

A dessert recipe calls for 50% melted chocolate and 50% raspberry puree to make a particular sauce. A chef accidentally makes 15 cups of the sauce with 40% melted chocolate and 60% raspberry puree instead. How many cups of the sauce does he need to remove and replace with pure melted chocolate to m...

by fskilnik@GMATH

Thu Mar 21, 2019 12:46 pm
Forum: Problem Solving
Topic: A dessert recipe calls for 50% melted chocolate and 50%
Replies: 2
Views: 625

The straight lines given by the equation 2x^2=2y^2-3xy are:

GMATH practice exercise (Quant Class 20) The straight lines given by the equation 2(x^2)=2(y^2)-3xy are: (A) parallel (B) intersecting and they form a 30-degrees angle (C) intersecting and they form a 45-degrees angle (D) intersecting and they form a 60-degrees angle (E) intersecting and they form ...

by fskilnik@GMATH

Thu Mar 21, 2019 12:08 pm
Forum: Problem Solving
Topic: The straight lines given by the equation 2x^2=2y^2-3xy are:
Replies: 1
Views: 502

If (r+1/r)^2 = 5, what is the value of (r^3+1/r^3)^2?

GMATH practice exercise (Quant Class 3)

If (r+1/r)^2 = 5, what is the value of (r^3+1/r^3)^2?

(A) 7.75
(B) 10
(C) 12.25
(D) 15
(E) 20

Answer: [spoiler]_____(E)__[/spoiler]

by fskilnik@GMATH

Thu Mar 21, 2019 11:43 am
Forum: Problem Solving
Topic: If (r+1/r)^2 = 5, what is the value of (r^3+1/r^3)^2?
Replies: 2
Views: 588

[GMAT math practice question] xy=? 1) (x-2)^2 = -|y-3| 2) |x-2| +√( y-3) =0 $$? = xy$$ $$\left( 1 \right)\,\,\,{\left( {x - 2} \right)^2} = - \left| {y - 3} \right|\,\,\,\,\,\left( * \right)$$ $$\left. \matrix{ {\left( {x - 2} \right)^2} \ge 0 \hfill \cr - \left| {y - 3} \right| \le 0\,\, \hfill ...

by fskilnik@GMATH

Wed Mar 20, 2019 7:39 am
Forum: Data Sufficiency
Topic: xy=?
Replies: 2
Views: 496

[GMAT math practice question] Jeonghee has 5 different red cards and 5 different blue cards. She shuffles the10 cards, and then places 5 of the cards in a row. What is the probability that all red cards are adjacent to each other and all blue cards are adjacent to each other in her row? A. 2/5 B. 2...


GMATH practice exercise (Quant Class 12) https://i.postimg.cc/cJzYVGNC/17-Mar19-3g.gif $${2^{2.322}} \cong 5\,\,\,\, \Rightarrow \,\,\,\,\,{\left( {{2^{2.322}}} \right)^{0.5}} = {5^{0.5}}\left( * \right)$$ $${{{2^{ - 5}} \cdot \root 3 \of {{{10}^2}} } \over {\root 6 \of {10} \cdot {2^x}}} = 1\,\,\,...


GMATH practice exercise (Quant Class 17) There are many boxes in a certain room, and each box has a label attached to it in which the number of balls contained in that box is written. If there are exactly 612 balls in all boxes combined, and it is known that the numbers presented at the labels form...


GMATH practice exercise (Quant Class 16) If A>B are two odd numbers, how many even numbers are there between them? (A) (A+B)/2 (B) A-B+1 (C) A-B (D) A-B-1 (E) (A-B)/2 $$?\,\, = \,\,\# \,\,{\rm{even}}\,\,{\rm{numbers}}\,\,{\rm{in}}\,\,\left[ {B,A} \right]\,\,\,\,\,\,\left( {B < A\,,\,\,{\rm{odds}}} ...

by fskilnik@GMATH

Sun Mar 17, 2019 4:35 pm
Forum: Problem Solving
Topic: If A>B are two odd numbers, how many even numbers are the
Replies: 2
Views: 612

GMATH practice exercise (Quant Class 16) If A>B are two odd numbers, how many even numbers are there between them? (A) (A+B)/2 (B) A-B+1 (C) A-B (D) A-B-1 (E) (A-B)/2 $$?\,\, = \,\,\# \,\,{\rm{even}}\,\,{\rm{numbers}}\,\,{\rm{in}}\,\,\left[ {B,A} \right]\,\,\,\,\,\,\left( {B < A\,,\,\,{\rm{odds}}} ...

by fskilnik@GMATH

Sun Mar 17, 2019 4:33 pm
Forum: Problem Solving
Topic: If A>B are two odd numbers, how many even numbers are the
Replies: 2
Views: 612

GMATH practice exercise (Quant Class 3) https://i.postimg.cc/SsDKwW9r/17-Mar19-6y.gif $${x^2} \cdot f\left( x \right) = {2^{8 - x}}\,\,\,\,\left( * \right)$$ $$? = 100 \cdot f\left( 5 \right)$$ $$x = 5\,\,\,\,\,\mathop \Rightarrow \limits^{\left( * \right)} \,\,\,\,\,25 \cdot f\left( 5 \right) = {2...


There are many boxes in a certain room, and each box has a l

GMATH practice exercise (Quant Class 17) There are many boxes in a certain room, and each box has a label attached to it in which the number of balls contained in that box is written. If there are exactly 612 balls in all boxes combined, and it is known that the numbers presented at the labels form...


If A>B are two odd numbers, how many even numbers are the

GMATH practice exercise (Quant Class 16)

If A>B are two odd numbers, how many even numbers are there between them?

(A) (A+B)/2
(B) A-B+1
(C) A-B
(D) A-B-1
(E) (A-B)/2

Answer: [spoiler]_____(E)__[/spoiler]

by fskilnik@GMATH

Sun Mar 17, 2019 12:29 pm
Forum: Problem Solving
Topic: If A>B are two odd numbers, how many even numbers are the
Replies: 2
Views: 612