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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: 1644
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: 1537
for a = -1 and c = 1/2 will satisfy! a+c = a*cwinny 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.
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: 1537
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: 1802
- by n@resh
Tue Oct 11, 2011 10:06 am- Forum: Problem Solving
- Topic: Confusing
- Replies: 3
- Views: 1020