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There are three types of directors: In One charity, In two Charity and In 3 charity There are 4 directors in the 3 charities And 3 directors in 2 charities(Because it says that 5 are common between each pair out of these 4 are in all three but 1 is unique to that pair and there are 3 pairs possible)...
- by Shahrukh@mbabreakspace
Wed Jul 11, 2018 6:41 am- Forum: Problem Solving
- Topic: Each of three charities in Novel Grove Estates has 8 persons
- Replies: 4
- Views: 1085
For maximum number of sides, we will try to keep most sides with side length=2, but we will need 1 side to 5, as it is present for sure. we will need one odd number also, as sum is even, so it would be 3. So, max number of sides will be when sides are 2,2,2,2,3,5 For Minimum number of sides, we will...
- by Shahrukh@mbabreakspace
Wed Jul 11, 2018 5:58 am- Forum: Problem Solving
- Topic: The perimeter of a polygon is 16. If the sides of the
- Replies: 3
- Views: 904
Clearly, a+b is sum of squares of two adjacent sides, which is equal to diagonal^2
Also, we know, rectangle inscribed in circle will have diagonal equal to diameter(because diameter can only make 90 degree on circumference)
So, a+b= 10^2=100
- by Shahrukh@mbabreakspace
Wed Jul 11, 2018 5:51 am- Forum: Problem Solving
- Topic: If a rectangle with length sqrt{a} units and width sqrt{b}
- Replies: 4
- Views: 913
- by Shahrukh@mbabreakspace
Wed Jul 11, 2018 5:40 am- Forum: Problem Solving
- Topic: In a survey it was found that 60% of those surveyed liked
- Replies: 3
- Views: 880
The circle is the circumcircle of the triangle, the radius of the circle will be equal to circumradius. And since it is an equilateral triangle, circumcentre is also the centroid, so the distance between circumcentre and vertex(radius) will be 2/3 of Median(which is the same as altitude). Length of ...
- by Shahrukh@mbabreakspace
Wed Jul 11, 2018 5:38 am- Forum: Problem Solving
- Topic: Challenge question: If ABCD is a square, and XYZ
- Replies: 3
- Views: 888
Let total bonds be x
Then B bonds are 0.3x and C bonds are 0.7x
So total chances of default= 0.3x*0.25+ 0.7x*0.4=0.355x
Chances of default of B bond= 0.3x*0.25=0.075x
Probability= 0.075x/0.355x= 15/71
- by Shahrukh@mbabreakspace
Wed Jul 11, 2018 5:07 am- Forum: Problem Solving
- Topic: Bonds rated B have a 25% chance of default in five years.
- Replies: 3
- Views: 756
Total male= 20000*0.48= 9600
Total professional male= 20000*(0.6-0.52*0.3)= 8880
So, Amateur male = 9600-8880=720
- by Shahrukh@mbabreakspace
Wed Jul 11, 2018 4:54 am- Forum: Problem Solving
- Topic: A certain marathon had 20,000 entrants, 52% of which were
- Replies: 4
- Views: 811
- by Shahrukh@mbabreakspace
Tue Jul 10, 2018 11:29 pm- Forum: Problem Solving
- Topic: A factory that employs 1000 assembly line workers pays each
- Replies: 4
- Views: 1134
Scores in ascending order are 15, 22, 38, 51, 63 So the median is 38, Now, to increase the median, we have to assure that first 2 terms will be 22, 38 and next three terms will be greater than that So, let x points are transferred from 63 to 15, in that case, it will become 15+x>38 and 63-x>38, it g...
- by Shahrukh@mbabreakspace
Tue Jul 10, 2018 10:55 pm- Forum: Problem Solving
- Topic: The table above shows the number of points held by 5 players
- Replies: 4
- Views: 944
Slope of the line= (33-22)/(48-31)= 11/17
Equation of the line= (y-22)/(x-31)= 11/17
=>11x-17y=-33
For x intercept, put y=0
So, x=-3
- by Shahrukh@mbabreakspace
Tue Jul 10, 2018 9:28 pm- Forum: Problem Solving
- Topic: Challenge: If line k passes through the points (48, 33) and
- Replies: 4
- Views: 976
Statement 1: It is not sufficient, as for m=n, there can be infinite values of m that we will get.
Statement 2: It is not sufficient, as there are many values of m and n for which, 13m= 11n+8
Statement 1 and Statement 2 together: It is Sufficient, as 13m=11m+8, will have only 1 solution
- by Shahrukh@mbabreakspace
Tue Jul 10, 2018 5:34 am- Forum: Data Sufficiency
- Topic: When the members of group A are divided into groups of 13 pe
- Replies: 3
- Views: 604
Let the number of paychecks be 'n'
So, Per paycheck payment= 18000/n
Statement 1: It is sufficient as it gives the value of n=24
Statement 2: It is also sufficient, as we get, n=2*12= 24
- by Shahrukh@mbabreakspace
Tue Jul 10, 2018 4:17 am- Forum: Data Sufficiency
- Topic: Last year an employee received a gross annual salary of
- Replies: 2
- Views: 589
Elements common in A&B have 2 parts, first are those which are just in A& B and not in C, others are those which are common in all 3. Statement 1: It directly gives us the part which is common in all 3, So, it is sufficient Statement 2: It is Insufficient because we need total number element...
- by Shahrukh@mbabreakspace
Tue Jul 10, 2018 4:12 am- Forum: Data Sufficiency
- Topic: Set A, B, C have some elements in common. If 16 elements are
- Replies: 2
- Views: 713
- by Shahrukh@mbabreakspace
Fri Jul 06, 2018 6:27 am- Forum: Data Sufficiency
- Topic: If the operation % is defined by x % y = px^2 + qy^2 (p and
- Replies: 3
- Views: 783
Let he buys x fraction of total at 5, remaining (1-x) at 6
Then CP= 5x+(1-x)6= 6-x
SP=7
(7-(6-x))/(6-x)=20/100
On solving x= 1/6 and 1-x= 5/6
So ratio in mixture= 1/6:5/6= 1:5
- by Shahrukh@mbabreakspace
Fri Jul 06, 2018 6:17 am- Forum: Problem Solving
- Topic: Joseph bought two varieties of rice, costing 5 cents per
- Replies: 2
- Views: 1867