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A child selected a three-digit number, XYZ, where X, Y and Z denote the digits of the number and X + Y + Z= 10. If no two of the three digits were equal, what was the three-digit number? (1) X < Y < Z (2) The three-digit number selected was even. (1) x< y< z can be 1 +2+7, 2+3+5 different sets of t...
- by kstv
Sat Jun 12, 2010 9:15 am- Forum: Data Sufficiency
- Topic: Three digit number
- Replies: 9
- Views: 4873
TTr²/24² = (22/7) * 10*10/24*24
22/7 is very close to 21/7 = slightly more then 3
so 10*10/8*24
again 24*8 is very close to 25*8
or slightly less than 200
the approximation made in the numerator 22/7 will balance out
the approximation in the denominator
left with 10*10/200 = 1/2
- by kstv
Sat Jun 12, 2010 8:22 am- Forum: Problem Solving
- Topic: A circular mat with diameter 20 inches is placed on a square
- Replies: 5
- Views: 6467
Centre is O (-2,-3) . Pt A (-2,1) is inside the circle. Dist OA is 4 - y coordianates ( -3 to 1) x coordiantes are same. The radius is > 4
Pt B (4,-3) so OB is 6 ( -2 to 4) , here y coordinate is - 3.
The radius is < 6.
The radius is an integer.
Left with no options other than B.
- by kstv
Sat Jun 12, 2010 12:24 am- Forum: Problem Solving
- Topic: Circles
- Replies: 2
- Views: 1165
1 to 35 has 18 odd 1 - 3 - 5 -..... 33- 35 No one can get 35 or 33 marbles, cos there will not be enough left for choosing the other 4. If one gets 31 marble the rest four get 1 each. So there are 16 odd numbers to choose. My guess is 15 C 4 cos if you choose the 4 odd numbers the fifth one has to b...
- by kstv
Fri Jun 11, 2010 12:48 am- Forum: Problem Solving
- Topic: Permutation combination sum
- Replies: 6
- Views: 5292
If x = 100a
then y = 25a ( y 1/2 of 1/2 of x or 1/4 of x)
25a % of x i.e (25a/100) * 100a = 100
25a² = 100
a = + - 2
since x is + so IMO C
- by kstv
Wed Jun 09, 2010 11:51 pm- Forum: Problem Solving
- Topic: Percentage Conundrum
- Replies: 8
- Views: 4522
If xy=-6, what is the value of xy(x+y)? (1) x-y=-5 (2) xy^2=18 from (2) xy² = 18 , but xy = -6 so y = 18/-6 = -3 so x = 2 but (1) x-y = -5 but if x = 2 & y = -3 , x-y = +5 not -5 though the answer is still B. cos x-y = + or - y , when substituted in xy = -6 will result in a quadratic eq. like ...
- by kstv
Wed Jun 09, 2010 11:33 pm- Forum: Data Sufficiency
- Topic: If xy=-6, what is the value of xy(x+y)?
- Replies: 7
- Views: 5534
x²+y²<=100 all points within the the circle with radius 10 and origin (0,0) is the region Q 1) a+b = 14 the point (8,6) - 64+36 or (6,8) - 36+64are on the circle. (7,7) - 49+49 < 100 is inside the circle, but (9,5)- 81 + 25 > 100 is outside Q. 2) a > b Not sufficient. Combining (1) & (2) &...
- by kstv
Wed Jun 09, 2010 7:36 am- Forum: Data Sufficiency
- Topic: Manhattan Challenge Problem
- Replies: 2
- Views: 1222
Of 60 animals, 2/3 are either pigs or cows = 40 1) Twice as many cows as pigs, but 40 is not perfectly divisible by 3 so it can be 26 cows and 14 pigs , but 26 is not twice of 14 rather it must be 27 cows and 13 pigs . Suff. 2) More than 12 pigs , so less than 28 cows. Insuff. Together also Insuffic...
- by kstv
Sat Jun 05, 2010 7:31 pm- Forum: Data Sufficiency
- Topic: Of the 60.....
- Replies: 5
- Views: 1622
If n is an integer and x^n - x^-n = 0, what is the value of x ? (1) x is an integer. (2) n ≠0 x^n - 1/x^n = 0 ((x^n)² -1 /x^n = 0 so the numerator is = 0 (x^n)² - 1 = 0 (x^n+1)(x^n-1) = 0 x^n = 1 , & if n≠0 then x = 1. x^n = -1 & if n ≠0 then x is -ve and n is a odd no. (2) is not...
- by kstv
Thu Jun 03, 2010 1:40 am- Forum: Data Sufficiency
- Topic: Help! Ron!?!
- Replies: 8
- Views: 1655
14 have > = 4 yrs experience
so 16 have < 4 yrs experience
3 of them have no degree
so 13 of them have degree and < 4 yrs exp.
Total no of degree holders = 18
5 = 18-13 have degree and > 4yrs exp.
- by kstv
Wed Jun 02, 2010 3:47 am- Forum: Problem Solving
- Topic: og 12 problem of degree
- Replies: 3
- Views: 1291
just consider the unit digitspradeepkaushal9518 wrote:what is the unit digit of (13)^4(17)^2(29)^3?
A.9
B.7
C.5
D.3
E.1
plz give the best way to find out the unit digit
(3^4) *(7^2) *(9^3)
Even while calculating 3^4 , notice that the unit digit is 3*3 = 9*3 = ..7*3=..1
7^2 = 49
29^3 = 9*9 = 81*9=..9
now 1*9*9 = ...1
- by kstv
Wed Jun 02, 2010 3:26 am- Forum: Problem Solving
- Topic: OG 12 unit problem
- Replies: 3
- Views: 1604
Is the range of a combined set (S,T) bigger than the sum of ranges of sets S and T ? 1. The largest element of T is bigger than the largest element of S. 2. The smallest element of T is bigger than the largest element of S. The range of the combined set of (S,T) will be less than the sum sets S and ...
- by kstv
Wed Jun 02, 2010 12:34 am- Forum: Data Sufficiency
- Topic: range
- Replies: 5
- Views: 1637
The other forums have OA as E. This is a tough one for me partly cos of the wording. Too much of perfect tense in the options. Newborh Kangaroos use developed forelimbs to climb to their mother's pouch. Marsupial lions had developed forelimbs. Conclusion is that they needed to climb to their mothers...
- by kstv
Wed Jun 02, 2010 12:14 am- Forum: Critical Reasoning
- Topic: marsupial lions
- Replies: 11
- Views: 4040
loser gets 43% Winner gets 57% Diff = 14%sohaib_iba wrote:In an election where there are only 2 candidates one who gets 43% of the votes is rejected by a majority of 420 votes. The total number of votes polled is
A) 1290
B) 1300
C) 1710
D) 3000
14% of votes = 420
100% of votes = (420/14)*100
IMO D
- by kstv
Tue Jun 01, 2010 10:58 pm- Forum: Problem Solving
- Topic: Need helpp
- Replies: 3
- Views: 1324
I do agree that there is emphasis on genetic makeup more than on environmental factors. Both in C and D it is clear that if you plant tomatoes you get the a yield of tomotoes . Should one rule out C cos nowhere in the paragraph is it mentioned that the environmental factors can have a detrimental ef...
- by kstv
Tue Jun 01, 2010 3:03 am- Forum: Critical Reasoning
- Topic: Kaplan CR Verbal workbook
- Replies: 6
- Views: 1680