Every item in an apparel shop has a tag that is either blue, green or yellow in colour. The items with a blue tag are priced between $20 and $30. The items with a green tag are priced between $12 and $18 and the items with a yellow tag $5 and $10. Mary buys three items, each with a different color tag. Is the total discount on three items greater than 10%?......
1) The discount on the items with a blue tag is 20% and that on the items with a green tag is 25%. 2)The discount on the items with a yellow tag is 40%.
Please provide the answer with your explanation....Thanks in advance.
USING STATEMENT 1 ALONE: Let us assume that the "blue tag" item be worth $20(the least) Price after discount=$16. "Green tag"=$12 and after discount=$9 "Yellow tag"=$10(take the maximum). Net amount=$42 Total discount =$3+$4=$7/42 X 100 >10% Thus using this alone we can say that the net discount will always be more than 10%.(beacause if green and blue items are more expensive, then discount will also increase, but price of yellow tag will not be more than $10, and it does not have any discount, for now.)
NOW USE STAEMENT 2 ALONE: Let the item with yellow tag be worth $10. We take the maximum because other two items do not have discount, and based on the discount on the yellow item alone we have to determine whether total discount exceeds 10%. Price of yellow item after discount=$6. Let prices of green and blue items respectively be $18 and $30. We take the max because we want to know if the maximum possible discount exceeds the maximum possible total amount by 10%. Discount = 4/58 X 100 , Now consider maximum possible discount on the minimum possible amount. It happends when price of yellow item is $10 and other two are $12 and $20. Discount = $4/42 X 100 = , So, in this case also the discount will always be less than 10%
So, my take is . ie. either statement alone is sufficient.
Every item in an apparel shop has a tag that is either blue, green or yellow in colour. The items with a blue tag are priced between $20 and $30. The items with a green tag are priced between $12 and $18 and the items with a yellow tag $5 and $10. Mary buys three items, each with a different color tag. Is the total discount on three items greater than 10%?......
1) The discount on the items with a blue tag is 20% and that on the items with a green tag is 25%. 2)The discount on the items with a yellow tag is 40%.
Please provide the answer with your explanation....Thanks in advance.
I think it should be A, can be answered using Statement 1 Alone.
Crab has given a good explanation for the first statement, so I will not reiterate that. Just reaad the previous post.
I differ with the reasoning given for the second statement. We also need to consider the min case apart from the max case.
In the min case, the values of B=20, G=12, Y=5, Total = 37, Thus we need a discount of at least 3.7 (10%) But 40% of 5(Y) = 2
So we can see that we get both the situations (>10% and Please confirm if this reasoning is correct.
I think it should be A, can be answered using Statement 1 Alone.
Crab has given a good explanation for the first statement, so I will not reiterate that. Just reaad the previous post.
I differ with the reasoning given for the second statement. We also need to consider the min case apart from the max case.
In the min case, the values of B=20, G=12, Y=5, Total = 37, Thus we need a discount of at least 3.7 (10%) But 40% of 5(Y) = 2
So we can see that we get both the situations (>10% and Please confirm if this reasoning is correct.
Mistake in this reasoning was pointed by Ashish (Education Aisle).
Statement2: There is no situation where discount becomes >10%, it will always be less than 10%. I read Crab's post and assumed that he had covered only one case and took on the other case. Mistake. The question can be answered with Statement2 alone, as well. So the correct answer is indeed D.
@Crab, both of us need to start reading the posts more carefully and analyze what has been written. I misread your post and you bought my explanation, both of us need to keep our eyes open:cheerio:
Hi. i need some explanations for the questions below which i could not understand.
************************************************** Q1: At a certain store, each notepad costs $X and each marker costs $Y. $10 is enough to buy 5 notepads and 3 markers. Is $10 enough to but 4 notepads and 4 markers? A: Each notepad costs less than $1. B: $10 is enough to buy 11 notepads. Answer: Both statements together are not sufficient. ************************************************** Q2: Number of points a circle can intersect a triangle? A: 2 and 6 B: 4 and 6 C: 1, 2, 3 and 6 D: 1, 2, 3, 4 and 6 E: 1, 2, 3, 4, 5 and 6 Answer: E ******************************************************************************** Q3: Is the 100th digit of decimal d>5? A: Tenth digit of 10d is 7. B: Thousand digit of d/10 is 7. Asnwer: Either statement alone is suffiecient. ********************************************************************************* Q4: A person is to select books for vacation. He can select books from biology, comics and novels. How many combinations of books are possible? A: He has 4 biology and 3 comic books B: He has 7 novels Answer: Both statements together are sufficient. ***********************************************************************************
1. 5x+3y Stmnt 1, xsay x=0.9 4.5+3y3yThus x+y is not necessarily Stmnt 2, 11xSimilar to Stmnt 1, assume x=0.9, again, this statement is also Insufficient.
Combining both the statements, x Thus, E, cannot be answered using both statements together.
2. See the attached image. Sorry for the bad handwriting
3. Let d= abc.xyz question: is y>5
Stmnt 1: Tenth digit of 10d is 7 10d = abcx.yz, now for 10d, tenth digit is y, and since y=7, this statement alone is Sufficient.
Stmnt 2: Thousand digit of d/10 is 7 d/10 = ab.cxyz, and the thousandth digit is again y, so, this statement alone is also Sufficient.
4.
Options: Bio, Comics, Novels To calculate the number of combinations we will need the number of books in each category.
Stmnt 1: 4 biology and 3 comic books No. of Novels is not mentioned, Not Sufficient.
Stmnt 2: 7 novels No. of Bio and Comic books is not available, Not Sufficient
Combine both Stmnts: 4 Bio, 3 Comic and 7 Novels, We can easily calculate the total number of possible combinations. Both stmnts together, Sufficient.
Just a suggestion, maybe in the future you could post just the questions and not the answers, makes it more fun !!
Hi. i need some explanations for the questions below which i could not understand.
************************************************** Q1: At a certain store, each notepad costs $X and each marker costs $Y. $10 is enough to buy 5 notepads and 3 markers. Is $10 enough to but 4 notepads and 4 markers? A: Each notepad costs less than $1. B: $10 is enough to buy 11 notepads. Answer: Both statements together are not sufficient. ************************************************** Q2: Number of points a circle can intersect a triangle? A: 2 and 6 B: 4 and 6 C: 1, 2, 3 and 6 D: 1, 2, 3, 4 and 6 E: 1, 2, 3, 4, 5 and 6 Answer: E ******************************************************************************** Q3: Is the 100th digit of decimal d>5? A: Tenth digit of 10d is 7. B: Thousand digit of d/10 is 7. Asnwer: Either statement alone is suffiecient. ********************************************************************************* Q4: A person is to select books for vacation. He can select books from biology, comics and novels. How many combinations of books are possible? A: He has 4 biology and 3 comic books B: He has 7 novels Answer: Both statements together are sufficient. ***********************************************************************************
Ques : If n + 5 = 5, what is the value of n? (1) n^2 is not equal to 0. (2) n^2 + 10n = 0 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient
The average weight of three people is 148 pounds. If none of the three people weighs the same, what is the weight of the middle person?
(1) The lightest person's weight is 120 pounds. (2) The difference between the weights of the lightest person and the middle person is the same as the difference between the weights of the middle and heaviest person.
The average weight of three people is 148 pounds. If none of the three people weighs the same, what is the weight of the middle person?
(1) The lightest persons weight is 120 pounds. (2) The difference between the weights of the lightest person and the middle person is the same as the difference between the weights of the middle and heaviest person.
avg weight is 148 (three different weights - no need of options also to answer the question , it should be 148 only)
The average weight of three people is 148 pounds. If none of the three people weighs the same, what is the weight of the middle person?
(1) The lightest persons weight is 120 pounds. (2) The difference between the weights of the lightest person and the middle person is the same as the difference between the weights of the middle and heaviest person.
Here is how I worked it out:
L+M+H = 444 ==> sum of the weights of 3 persons.
Statement 1) L = 120 so,M+H = 324, M = 121 , H= 203 or M= 150 , H= 174. So statement 1 is insuff.
Statement 1) L = 120 so,M+H = 324, M = 121 , H= 203 or M= 150 , H= 174. So statement 1 is insuff.
Statement 2) M-L = H-M 2M = H+L
2M = 444-M
3M = 444. So, M = 148 Statement 2 alone is suff.
I would go with option B
-Deepak.
As a rule, In consecutive integers or equally spaced integers, Mean = Median. Remembering this might save us few precious minutes :-P. Thing to note here is that the reverse is not true (If mean=median, then it may or may not be a series of consecutive integers or equally spaced integers).
Statement 1) L = 120 so,M+H = 324, M = 121 , H= 203 or M= 150 , H= 174. So statement 1 is insuff.
Statement 2) M-L = H-M 2M = H+L
2M = 444-M
3M = 444. So, M = 148 Statement 2 alone is suff.
I would go with option B
-Deepak.
The ans is B only, for information, there is trap that it can solved by both the option, like all three are in AP so u can simply use the AP formula : n/2((2a+(n-1)d)) nd get the value of d.
Ques : If n + 5 = 5, what is the value of n? (1) n^2 is not equal to 0. (2) n^2 + 10n = 0 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient
IMHO : D
But OA is A.
Please explain.
According to what u have asked, below is the solution : n+5 = 5 => n=0
Since the statement given itself gives u a definite value of n as 0. So no need of seeing the given statements.
I think that you forgot to put MOD sign to the LHS of given equation. it shud be n+5| = 5.
Then the solution will be as below
Given : |n+5 = 5 => n = 0 or -10
Statement 1 : n^2 != 0 => n!=0 =>n=-10 (only 0 and -10 are to be checked) - Sufficient
Statement 2 : n(n+10) = 0 => n= 0 or -10 No definite value of n, hence Not Sufficient. So from given equation and statement 1 we get n=0. So, Option A.
for distance to be equal, following eq'n must be satisfied, r^2 + s^2 = u^2 + v^2 Clearly op A alone is insufficient as no info of "u" and "V" is given Op B again alone insufficient as the eq'n, u+v= 2-(r+s), gives no information
if u combine both the options then u get u+v =1, now one may think that as u + v =1 and r + s =1, so the necessary condition r^2 + s^2 = u^2 + v^2 will be fulfilled, BUT its NOT TRUE for ex u = 1/2 and v = 1/2 and r = 2/3 and s = 1/3 so here, u + v =1 and r + s =1,
But r^2 + s^2 NOT EQUAL TO u^2 + v^2
while if u make all the coordinates equal to 1/2 then the above condition will satisfy,
(1) Line segments AC and BD are perpendicular bisectors of each other.
(2) AB = BC = CD = AD
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. Both statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient. EACH statement ALONE is sufficient. Statements (1) and (2) TOGETHER are NOT sufficient.
(1) Line segments AC and BD are perpendicular bisectors of each other.
(2) AB = BC = CD = AD
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. Both statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient. EACH statement ALONE is sufficient. Statements (1) and (2) TOGETHER are NOT sufficient.
