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What is the remainder when 43^43+ 33^33 is divided by 10? 1 3 9 7 0 OA: E we know 43/10 = R(3), similarly 43^4 /10 =R(1) hence 43^40/10 = R (1) therefore 43^43/10 = R(7) similarly 33/10 = R(3), similarly 33^4/10 = R(1) hence 33^32/10 = R(1) therefore 33^33/10 = R(3) so, 43^43 + 33^33 / 10 => R(7) +...

by n@resh

Sat Oct 15, 2011 4:53 pm
Forum: Problem Solving
Topic: Remainder
Replies: 4
Views: 1119

The events A and B are independent. The probability that event A occurs is 0.6, and the probability that at least one of the events A or B occurs is 0.94. What is the probability that event B occurs? (A) 0.34 (B) 0.65 (C) 0.72 (D) 0.76 (E) 0.85 Looking for a formula to deal with this one! Atleast o...

by n@resh

Sat Oct 15, 2011 4:32 pm
Forum: Problem Solving
Topic: Probability of A or B
Replies: 2
Views: 954

At a certain restaurant, the ratio of the number of cooks to the number of waiters is 3 to 13. When 12 more waiters are hired, the ratio of the number of cooks to the number of waiters changes to 3 to 16. How many cooks does the restaurant have? A. 4 B. 6 C. 9 D. 12 E. 15 OA: 4 cook / waiter = 3/13...

by n@resh

Sat Oct 15, 2011 4:05 pm
Forum: Problem Solving
Topic: Ration question
Replies: 5
Views: 1643

If x!=-y, is [x-y]/[x+y] > 1 [1] x > 0 [2] y < 0 Note: is it x!= -y? i am afraid, i consider it as x = -y. From stat1: x > 0; As x + y = 0, then y must be < 0. so, say x = 0.4, y = -0.4 then [ x - y ] = 0. and [ x + y] = 0 therefore, 0/0 which is an indeterminate form! say if x = 2 and y = -2, [x -...

by n@resh

Sat Oct 15, 2011 3:52 pm
Forum: Data Sufficiency
Topic: Inequalities
Replies: 5
Views: 1180

Is triangle ABC isoceles? 1. Angle B = 60 degrees 2. Angle C = 60 [spoiler]I think Answer is D.If one angle is 60 sum of remaining 2 angles is 120. Let's say second angle is also 60 so third will also be 60 making it Equilateral. It is not Isosceles. If 2nd is more than 60 third will be less than 6...

by n@resh

Fri Oct 14, 2011 6:59 pm
Forum: Data Sufficiency
Topic: DS - Triangle property- Need help
Replies: 6
Views: 1441

But in the above problem it's 2^-2 i.e. 8xy³ + 8x³y = (2x²y²)/2^-² Ah! Fixed that! But still, though, any comments on the question: (xy)(y - x)² = 0. How do we know which should be be subtracted from which? In this particular case, it works out to be the same, because the result is squared. H...

by n@resh

Fri Oct 14, 2011 6:46 pm
Forum: Problem Solving
Topic: MGMAT Adv Quant - WS#5, Question 50 -- (x-y)² vs (y-x)²
Replies: 9
Views: 2408

In the second line of your calculation you've arrived at the below equation 2³xy³ + 2³x³y = 2^4 * x² * y² . Shouldn't the R.H.S be 2^3*x^2*y^2? Hello SL750, I think that it should be 2^4: Right Hand Side (2^1 * x² * y²) / (2^-3) =(2^1 * x² * y²) / (1 / 2^3) =(2^1 * x² * y²) * 2^3 =2^1*2...

by n@resh

Fri Oct 14, 2011 4:32 pm
Forum: Problem Solving
Topic: MGMAT Adv Quant - WS#5, Question 50 -- (x-y)² vs (y-x)²
Replies: 9
Views: 2408

knight247 wrote:
2)In how many ways can a group of 4 persons be seated on 5 chairs placed around a circular table?


Answer: 5P4/4 = 30 ways?

by n@resh

Fri Oct 14, 2011 3:31 pm
Forum: Problem Solving
Topic: Fairly Simple Counting Questions
Replies: 11
Views: 2017

Henry purchased 3 items during a sale. He received a 20 percent discount of the regular price of the most expensive item and a 10 percent discount off the regular price of the other 2 items. Was the total amount of the 3 discounts greater than 15 percent of the sum of regular prices of the 3 items?...

by n@resh

Thu Oct 13, 2011 1:18 pm
Forum: Data Sufficiency
Topic: Henry's sale : DS problem... pls help
Replies: 2
Views: 1446

On Jane's credit card account, the average daily balance for a 30-day billing cycle is the average of the daily balances at the end of each of the 30 day. At the beginning of a certain 30-day billing cycle, Jane's credit card account had a balance of $600. Jane made a payment of $300 on the account...

by n@resh

Wed Oct 12, 2011 9:24 pm
Forum: Data Sufficiency
Topic: Tough Mean Problem
Replies: 3
Views: 1300

someone please explain... H(n) = 2*4*6*8.....n ( all are even integers) lets take example: H(8)+1 = 2.4.6.8 +1 = 2^6(1*2*3)+1 = 385 ; so, least prime factor H(8)+1 is 5 (i.e 5*7*11) similarly..H(10)+1 = 2*4*6*8*10 +1 = 2^7*(1*2*3*5)+1= 3841; so, least prime factor of H(10)+1 is 23 (i.e. 23*167) now...

by n@resh

Tue Oct 11, 2011 11:34 am
Forum: Data Sufficiency
Topic: Another GMAT Prep Question
Replies: 3
Views: 1202

Is 'b' the median of three numbers a, b and c? 1) a*c=b 2) a+c=b Confused whether its C or E. Please help. Don't have the OA. for a = -1 and c = 1/2 will satisfy! a+c = a*c so, numbers -1/2,-1,1/2 then median: -1 also a = 0, b = 0, c = 0, median = 0 Clearly,not sufficient. Hence E! Isn't this a Yes...

by n@resh

Tue Oct 11, 2011 11:16 am
Forum: Data Sufficiency
Topic: Is b the Median?
Replies: 7
Views: 1536

winny wrote:Is 'b' the median of three numbers a, b and c?

1) a*c=b

2) a+c=b

Confused whether its C or E. Please help. Don't have the OA.
for a = -1 and c = 1/2 will satisfy! a+c = a*c
so, numbers -1/2,-1,1/2 then median: -1
also a = 0, b = 0, c = 0, median = 0

Clearly,not sufficient.

Hence E!

by n@resh

Tue Oct 11, 2011 10:56 am
Forum: Data Sufficiency
Topic: Is b the Median?
Replies: 7
Views: 1536

Pls help me find my mistake..... Will must choose a 3 character computer password consisting of 1 letter from the alphabet and 2 distinct digits ,in any order. From how many different passwords can will choose?? A 390 B 2340 C 4680 D 7020 E 14040 My Solution will can choose from 26 alphabets in 26 ...

by n@resh

Tue Oct 11, 2011 10:17 am
Forum: Problem Solving
Topic: permutations
Replies: 5
Views: 1799

GmatKiss wrote:Please help me in solving this PS
Ans: A!

Feet is plural for foot!

by n@resh

Tue Oct 11, 2011 10:06 am
Forum: Problem Solving
Topic: Confusing
Replies: 3
Views: 1020