stmnt 1: x + y =10 -- many possibilities. not suff
stmnt: 5x+3y/8 = integer many such possibilities of x and y. In suff
Combinng both: There is only one combination which satisfies above conditions: x=9 and y=1 hence both stmnts are sufficient when together.
in a certain game played with red chips and blue chips, each red chip has a point value of X and each blue chip has a point value of Y, where X>Y and X and Y are positive integers. If a player has 5 red chips and 3 blue chips, what is the average (arithmetic mean ) point value of the 8 chips that the player has? (1) The average point value of one red chip and one blue chip is 5. (2) The average point value of the 8 chips that the player has is an integer.
During a 10-week summer vacation, was the average (arithmetic mean) number of books that Carolyn read per week greater than the average number of books that Jacob read per week? (1) Twice the average number of books that Carolyn read per week was greater than 5 less than twice the average number of books that Jacob read per week. (2) During the last 5 weeks of the vacation, Carolyn read a total of 3 books more than Jacob.
Material A costs $3 per kilogram, and material B costs $5 per kilogram. If 10 kilograms of material K consists of x kilograms of material A and y kilograms of material B, is x > y? (1) y > 4 (2) The cost of the 10 kilograms of material K is less than $40.
Material A costs $3 per kilogram, and material B costs $5 per kilogram. If 10 kilograms of material K consists of x kilograms of material A and y kilograms of material B, is x > y? (1) y > 4 (2) The cost of the 10 kilograms of material K is less than $40.
Thanks! But why not 'D'. By first statement, when y>4, anyway you know X is NOT greater then Y (even when x = 5 and y = 5) and thats all we need. So with first statement alone we should be able to answer ?
Material A costs $3 per kilogram, and material B costs $5 per kilogram. If 10 kilograms of material K consists of x kilograms of material A and y kilograms of material B, is x > y? (1) y > 4 (2) The cost of the 10 kilograms of material K is less than $40.
My take on this one is B
From question we have x+y=10
Statement 1 >> Y>4 but it says nothing about x...insufficient
Statement 2 >> 3x+5y3x+5y will be equal to 40 when x=5 and y=5, so y has to be less than 5 And thus we have x>y..so sufficient
Thanks! But why not 'D'. By first statement, when y>4, anyway you know X is NOT greater then Y (even when x = 5 and y = 5) and thats all we need. So with first statement alone we should be able to answer ?
It is not mentioned in the question that x and y are whole numbers. y > 4, meaning say, 4.5 then x is 5.5 so x > y but y=5 will give x = 5 so x is NOT > y and y = 6 or 7 will give x No definitive ans, so NOT SUFF.
in a certain game played with red chips and blue chips, each red chip has a point value of X and each blue chip has a point value of Y, where X>Y and X and Y are positive integers. If a player has 5 red chips and 3 blue chips, what is the average (arithmetic mean ) point value of the 8 chips that the player has?
(1) The average point value of one red chip and one blue chip is 5. (2) The average point value of the 8 chips that the player has is an integer.
Qusetion says x>y and we have total value=5x+3y
Statement 1--> x+y=10 we can have following pair of values for x and y (x,y)=(9,1) or (8,2) or (7,3) or (6,4) as x>y Not sufficient as we dont get a single pair for x and y
Statement 2--> (5x+3y)/8 is integer Not sufficient
Combining 1 and 2 We can verify that (5x+3y)/8 is an integer only when x=9 and y=1... So using both statements we get the answer Hence my answer option C
It is not mentioned in the question that x and y are whole numbers. y > 4, meaning say, 4.5 then x is 5.5 so x > y but y=5 will give x = 5 so x is NOT > y and y = 6 or 7 will give x No definitive ans, so NOT SUFF.
Let me try my hand on this Let us suppose that equal quantity of material is bought i.e 5 Kg each, considering this we get the total price of both the materials to be 40$. Now from statement 2 we can see that the total price is less that 40$, it means 5$ material is less than 3 $ material as in no case we can get an answer I hope I am clear. Inputs are welcomed
