Q: Straight lines l & k intersect at point (4,3) on the xy plane. Is the product of slopes of these lines negative?
1. The product of x-intercepts of the lines is positive. 2. The product of y-intercepts of the lines is negative.
Regards, Adarsh.
1.when the product of x intercepts is positive , there are two ways the lines can be drawn .so cant decide abt the slope. 2.when the product of y intercepts is negative the lines can be drawn in only one way.one with + and another with - slope , so the result will be negative. hence answer B
What percentage of families in the state have annual incomes over $50,000 and have a net worth over $500,000?
(1) 65% of all the families in the state have an annual income over $50,000.
(2) 20% of the families in the state with an annual income over $50,000 have a net worth above $500,000.
A.Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
B. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
C. Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
D. Either statement BY ITSELF is sufficient to answer the question.
E. Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, meaning that further information would be needed to answer the question.
from (1) 65% has AI> 50,000 ... no info abt NW from (2) 20% of 65% i.e., 13% of total people who has both AI> 50k and NW > 500,000
Hope its clear.
Alles Gutte!!!! Ayan.
What percentage of families in the state have annual incomes over $50,000 and have a net worth over $500,000?
(1) 65% of all the families in the state have an annual income over $50,000.
(2) 20% of the families in the state with an annual income over $50,000 have a net worth above $500,000.
A.Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
B. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
C. Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
D. Either statement BY ITSELF is sufficient to answer the question.
E. Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, meaning that further information would be needed to answer the question.
1)If x is a positive integer, is the remainder 0 when (3x + 1)/10? (1) x = 3n + 2, where n is a positive integer. (2) x > 4
2)Company K has an annual budget for a certain project, and 1/5 of this budget was spent during the first quarter of the year. If 1/8 of the remainder of the budget was spent during the second quarter, what fraction of the budget was left at the end of the second quarter?
A. 7/10 B. 31/40 C. 27/40 D. 3/10 E. 9/40 shouldnt this be D? the oA is A
3)If w and c are integers, is w>0 ? 1)w+c>50 2) c>48 I concluded the answer to b E, for example, if w=-20, c =110 according to statement 1 it is greater than 50, and statement 2 is true too Now if w=20 and c = 110, 1 and 2 are true again. so thought the ans to be E, However the OA is C, where am i going wrong?
1)If x is a positive integer, is the remainder 0 when (3x + 1)/10? (1) x = 3n + 2, where n is a positive integer. (2) x > 4
2)Company K has an annual budget for a certain project, and 1/5 of this budget was spent during the first quarter of the year. If 1/8 of the remainder of the budget was spent during the second quarter, what fraction of the budget was left at the end of the second quarter?
A. 7/10 B. 31/40 C. 27/40 D. 3/10 E. 9/40 shouldnt this be D? the oA is A
3)If w and c are integers, is w>0 ? 1)w+c>50 2) c>48 I concluded the answer to b E, for example, if w=-20, c =110 according to statement 1 it is greater than 50, and statement 2 is true too Now if w=20 and c = 110, 1 and 2 are true again. so thought the ans to be E, However the OA is C, where am i going wrong?
2)Company K has an annual budget for a certain project, and 1/5 of this budget was spent during the first quarter of the year. If 1/8 of the remainder of the budget was spent during the second quarter, what fraction of the budget was left at the end of the second quarter?
A. 7/10 B. 31/40 C. 27/40 D. 3/10 E. 9/40 shouldnt this be D? the oA is A
after first budget remaining amount=4/5
out of 4/5, 1/8 spend in 2nd budget so remanining budget
A question from OG. Cancellation fees DAYS PRIOR TO DEPARTURE PERCENT OF PACKAGE PRICE 46 OR MORE 10% 45-31 35% 30-16 50% 15-5 65% 4 OR FEWER 100% The table above shows the cancellation fee schedule that a travel agency uses to determine the fee charged to a tourist who cancels a trip prior to departure. If a tourist canceled a trip with a package price of $1,700 and a departure date of September 4, on day was the trip canceled? (1) The cancellation fee was $595 (2) If the trip had been canceled one day later, the cancellation fee would have been $225 more.
In the explanation for (2), OG never uses the (2) but uses (1) to explain (2) and the answer is C. I thought we should think them separately. Their answer for (2) is as follows: "This implies that the increase in the cancellation fee for canceling one day later would have been 595/1700=15% of the package price. the 1700 cancellation could thus have occurred either 31 days or 16 days prior to the departure date of september 4 because the cancellation fee would have been increased by that percentage either 30 days before departure or 15 days before departure. however, there is no further information to establish whether the interval before departure was 31 days or 16 days; NOT sufficient"
Their answer is C, both statements together are sufficient.
I really didn't follow their explanation :sad: can anyone simplify the explanation and also explain why would they use data from 1 and use it in 2. shouldn't the explanation be independent from the data of 1?:crazyeye: waiting for a reply. thank you
hey can some one explain these to me... 1)the OA is E A string of 10 lightbulbs is wired in such a way that if any individual lightbulb fails, the entire string fails. If for each individual lightbulb the probability of failing during time period T id 0.06, what is the probability that the string of lightbulbs will fail during time period T? A.0.06 B.(0.06)^10 C.1-(0.06)^10 D.(0.94)^10 E.1-(0.94)^10
2)At a fruit stand yesterday, the price of each apple was $0.10 more than the price of each orange. What was the total revenue from the sale of oranges at the fruit stand yesterday? (1) The number of oranges sold at the fruit stand yesterday was 5 more than the number of apples. (2) The total revenue from the sale of apples at the fruit stand yesterday was $15.00
here...say..Xa price of apples, Xo price of oranges.., Xa=Xo+ .10 1) O= A+5...insufficient 2) Xa * A = 15...insufficient
combining the 2...also we cannot find the total price of oranges...so i concluded E...but the OA is C..can someone explain?
hey can some one explain these to me... 1)the OA is E A string of 10 lightbulbs is wired in such a way that if any individual lightbulb fails, the entire string fails. If for each individual lightbulb the probability of failing during time period T id 0.06, what is the probability that the string of lightbulbs will fail during time period T? A.0.06 B.(0.06)^10 C.1-(0.06)^10 D.(0.94)^10 E.1-(0.94)^10
All I can say is as that the probability that the light won't fail is 1-0.06 for each bulb=0.94 so they found out the probability that the light bulbs won't fail.and therefore 0.94^10 now if thats the probability of 10 bulbs not failing and working fine, then the probability that the lightbulbs will fail will be 1-(0.94^10)
2)At a fruit stand yesterday, the price of each apple was $0.10 more than the price of each orange. What was the total revenue from the sale of oranges at the fruit stand yesterday? (1) The number of oranges sold at the fruit stand yesterday was 5 more than the number of apples. (2) The total revenue from the sale of apples at the fruit stand yesterday was $15.00
here...say..Xa price of apples, Xo price of oranges.., Xa=Xo+ .10 1) O= A+5...insufficient 2) Xa * A = 15...insufficient
combining the 2...also we cannot find the total price of oranges...so i concluded E...but the OA is C..can someone explain?
I would conclude the answer to be E also. Because at the most the question provides us with the marginal increase in the revenues by selling oranges that is 5*$0.10 but it tells us nothing about the number of apples sold.
The answer is A. I want somebody to solve this for me.
What was John's average driving speed in miles per hour during a 15 minute interval? (1) He drove 10 miles during his interval. (2) His maximum speed was 50 miles per hour and his minimum speed was 35 miles per hour during this interval
The answer is A. I want somebody to solve this for me.
What was John's average driving speed in miles per hour during a 15 minute interval? (1) He drove 10 miles during his interval. (2) His maximum speed was 50 miles per hour and his minimum speed was 35 miles per hour during this interval
I was thinking the answer would be C :crazyeye:
My advice to all you guys struggling with DS wud be to start with the second option.
2 tells you only about maximum and minimum...but that is not enought to get the distance which is reqd to solve the problem...so B is out. Also D is out.
NOW FORGET STMT 2
stmt 1: it gives us the distnace traveled...which gives us the avg speed as 10/(15/60) = 40 miles/hr
What was John's average driving speed in miles per hour during a 15 minute interval? (1) He drove 10 miles during his interval. (2) His maximum speed was 50 miles per hour and his minimum speed was 35 miles per hour during this interval
1. If v and w are different integers, does v = 0? (1) vw = v2 (v square) (2) w = 2
2. Is n an integer? (1) n2 (n square) is an integer (2) square root of n is an integer!
3. Does the integer k have a factor p such that 1
4! (2) 13 + 2
I will wait for few responses and post the answers to these question tomorrow.
HI Ram, 1. answer is A expln: consider 1) v(v-w)=0. so either v=0 or v=w since v and w are diferrent integers. we have v=0 so 1) alone suff. consider 2) w=2 gives no info abt v. so not suff
so answer A.
2.ans is B.
Consider 1) n^2 is an integer. so (1.414)^2 is 2,an integer, but 1.414 is not and interger so. I alone is not suff.
consider 2.) sqroot(n) is an integer. so n has to be an integer. so 2 is suff.
Ans is B
3. ans b (correction the condition in B is 13!+2 Consider 1) k>4!
so k>24. there may or may not be a factor p. If K is a prime number then the condition is not satisfies.
so 1) alone is not suff.
2) this is sufficient as there is always a factor for k that lies in the range above.
so ans B.
All three are from OG 11 i guess;). All are good questions. I hope the explanations and the answers are correct.
