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Finally the team won 66.67% of the total matches, i.e. 2/3 of the total matches. Let us assume total matches played = 3n As number of matches in the 2nd half is double of 1st half, matches played in 1st half = n and matches played in the 2nd half = 2n Number of matches lost = 60% of n + 2 = (0.6)*n ...
- by Atekihcan
Mon Jun 24, 2013 1:18 am- Forum: Problem Solving
- Topic: In the first half of the season a football team
- Replies: 3
- Views: 2840
Yes, I understand the process. But when I go and check in the calculator, the result is:14^40=7.0003769659107e+45 (this notation in the calculator means 7.0003769659107 + 10^45 = 7000376965910700000000000000000000000000000000) Then, the last digit is zero? I don´t understand. I guess you meant to ...
- by Atekihcan
Mon Jun 24, 2013 1:14 am- Forum: Problem Solving
- Topic: How to find out the last two digits of 14^40
- Replies: 3
- Views: 1686
- by Atekihcan
Sun Jun 16, 2013 8:24 am- Forum: Problem Solving
- Topic: |x+3| – |4-x| = |8+x|
- Replies: 2
- Views: 1227
Total = Retirees + Players - Both + None
Say, total = N
So, retirees = 7N/20, players = N/2 = 10N/20, and both = 3N/20
So, None = total - (retirees + players - both)
So, None = N - (7N/20 + 10N/20 - 3N/20) = N - 14N/20 = 6N/20 = 3N/10
So, 3N/10 = 120
So, N = 120*10/3 = 400
Answer : D
- by Atekihcan
Fri Jun 14, 2013 5:12 am- Forum: Problem Solving
- Topic: Fractions
- Replies: 5
- Views: 6205
(2) root v^2 + root w^2 = root x^2 + root y^2 Is it v + w = x + y? or v^2 + w^2 = x^2 + y^2? No. It is as posted, i.e. √(v²) + √(w²) = √(x²) + √(y²) Which essentially translates to none of what you wrote but |v| + |w| = |x| + |y| Here are two posts discussing this problem, http://www.be...
- by Atekihcan
Thu Jun 13, 2013 1:37 am- Forum: Data Sufficiency
- Topic: Coordinate geometry
- Replies: 4
- Views: 1384
No need to check all the options. Original set {2, 3, 5, 7} So, median of the set is (3 + 5)/2 = 4 By adding a number (Say, N) the median increases by 25%. So, new median = (4 + 1) = 5 This means if we arrange the numbers in ascending order, the middle (third) number must be 5. So, N cannot be less ...
- by Atekihcan
Thu Jun 13, 2013 1:05 am- Forum: Problem Solving
- Topic: If after a number was added to a set consisting
- Replies: 3
- Views: 1491
As the price of the items are different, price of 5 cheapest items will be less than the price of the 5 most expensive items. So, decrease in the total price = 10% decrease in the 5 cheapest items must be less than the increase in the total price = 10% increase in the 5 most expensive items. So, fin...
- by Atekihcan
Thu Jun 13, 2013 12:57 am- Forum: Problem Solving
- Topic: X is the average price of 10 items of which no two cost
- Replies: 4
- Views: 3016
For two overlapping sets, total number of elements = elements only in 1st set + elements only in 2nd set + elements in both + elements in none Assume that 100 employees own laptops. So, 100 - 40 = 60 employees do not own laptops. So, total number of employees = (100 + 60) = 160 Now, 44 employees own...
- by Atekihcan
Thu Jun 13, 2013 12:40 am- Forum: Problem Solving
- Topic: Overlapping Sets
- Replies: 4
- Views: 5433
This is a bit outside of the scope of the GMAT, but the negative 'a' coefficient means the parabola opens downward and the positive 'P' variable means the vertex has a positive y value. Thus, the parabola must cross the x-axis twice. If you think in terms of parabola, then yes this is beyond the sc...
- by Atekihcan
Thu Jun 13, 2013 12:22 am- Forum: Problem Solving
- Topic: Coordinate G
- Replies: 2
- Views: 1297
Ah. Thanks for pointing it out.vipulgoyal wrote:shouldnt be a^2 < -16
I made a horrible mistake. Changed the post.
- by Atekihcan
Wed Jun 12, 2013 9:40 pm- Forum: Problem Solving
- Topic: Coordinate G
- Replies: 4
- Views: 2069
Additionally,Repeating decimals are obtained when a number is divided by 9 or any multiple of 9 (9,99,999...) That's a true statement but not an exhaustive one. Repeating decimals are obtained when the denominator of a rational number is not entirely made up of 2 and/or 5. So, any number when divid...
- by Atekihcan
Tue Jun 11, 2013 3:33 am- Forum: Problem Solving
- Topic: non-repeating decimal
- Replies: 6
- Views: 9543
The slanted line has x-intercept = 4 units and y-intercept = 3 units. So, the equation of the slanted line is x/4 + y/3 = 1, or 3x + 4y = 12 Now, the the point (0, 0) lies on the shaded side of the line. For (0, 0), the value of 3x + 4y = 0 < 12 So, the shaded region is inside the region 3x + 4y < 1...
- by Atekihcan
Tue Jun 11, 2013 3:15 am- Forum: Problem Solving
- Topic: Coordinate G
- Replies: 1
- Views: 1007
If x is an integer, y = 15 - 3x will also be an integer. Now, |y| < 30 So, |15 - 3x| < 30 So, 3*|5 - x| < 30 So, |5 - x| < 10 This means distance between x and 5 is less than 10. So, x must be greater than (5 - 10) = -5 but less than (5 + 10) = 15 So, -5 < x < 15 So, possible number of such points =...
- by Atekihcan
Tue Jun 11, 2013 3:11 am- Forum: Problem Solving
- Topic: Coordinate G
- Replies: 2
- Views: 1095
If y = a(x - b)² + p intersects x-axis, then the intersection point will be of the form (k, 0) So, 0 = a(k - b)² + p So, (k - b)² = -p/a Now, (k - b)² cannot be negative. So, if -p/a is non-negative, then only the graph of the given equation can have intersection with x-axis. So, the problem is ...
- by Atekihcan
Tue Jun 11, 2013 3:05 am- Forum: Problem Solving
- Topic: Coordinate G
- Replies: 1
- Views: 970
Length of the base of the triangle = x-intercept of the line = -a/8
Length of the height of the triangle = y-intercept of the line = a
So, area of the triangle = |-a/8|*|a/2| = a²/16
So, a²/16 > 1
So, a² > 16
So, either a > 4 or a < -4
- by Atekihcan
Tue Jun 11, 2013 2:59 am- Forum: Problem Solving
- Topic: Coordinate G
- Replies: 4
- Views: 2069