Q1. if X>1 and Y>1, is X (1) X^2/(XY+X) (2) XY/Y^2-Y Q2. If x^3y^4=5,000, is y=5? (1)y is a positive integer. (2)x is an integer. Q3. A certain carton holds fewer than 50 books. What is the number of books in the carton? (1) The books in the carton can be divided into 3 stacks of X books each, with 2 books left over. (2) The books in the carton can be divided into Y stacks of 7 books each, with 2 books left over. Q4. Does the decimal equivalent of P/Q, where P and Q are positive integers, contain only a finite number of nonzero digits? (1) P>Q (2) Q=8 Q5. 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. Q6. 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.
Thnx
here are my answers.Pls provide OA
1. is X insufficient (fails for for values X=2,Y=2) b) simpifying Xsufficient B 2. x^3 y^4=5000=2^3.5^4 or =2^3.(-5)^4 a) y>0 => y=5 sufficient b) x is I=>totally irrelevant isufficient so. A
3. na)n=3x+2=>5,8,11...,23,..44,47 insufficient b)n=7y+2=>9,16,23,..44 insufficient but together sufficient as 23 is the only common value so C
4. P/Q? a) P>Q 10/3 fails insufficient b) Q=8 therefore P/Q should always have a finite no of decimal digits sufficient B 5. C/10 > J/10? (where C and J are total no of books read by Carolyn and Jacob)
b) doesn't give enough info about the 10 week average. insufficient
I guess the conditions are insufficient even if taken together. so E 6.X>Y (5X+3Y)/8? a) X+Y=10 insufficient b)(5X+3Y)/8 = Int The think the only possbile values that satisfy the condition are X=9,18.. and Y=1,2.. still insufficient but taken together..the only pair that satisfies the eq is X=9 and Y=1 so C
Sorry for overloading the ques but here are few more
Q1. If x and y are integers and x > 0, is y > 0? (1) 7x - 2y > 0 (2) -y Q2. In the sequence of nonzero numbers t1, t2, t3, , tn, , tn+1 = tn / 2 for all positive integers n. What is the value of t5? (1) t3 = 1/4 (2) t1 - t5 = 15/16 Q3. Is y - x positive? (1) y > 0 (2) x = 1 - y
Thnx
my picks EDE.Pls provide OA. will provide answers later..
Sorry for overloading the ques but here are few more
Q1. If x and y are integers and x > 0, is y > 0? (1) 7x 2y > 0 (2) -y 1. 7x>2y or y 2.y>-x , if x=1, y>-1 so we cannot say. So answer sud be E. Q2. In the sequence of nonzero numbers t1, t2, t3, , tn, , tn+1 = tn / 2 for all positive integers n. What is the value of t5? (1) t3 = 1/4 (2) t1 - t5 = 15/16 tn+1=tn/2 1. t3=1/4, so t4=t3/2=1/8, so t5=t4/2=1/16. 2. t5=t4/2=t3/4=t2/8=t1/16. so we can get t1. hence t5. Answer sud be D. Q3. Is y x positive? (1) y > 0 (2) x = 1 - y is y>x? 1. x can be ne thing so not sufficient. 2. x+y=1, say x=t, y = 1-t, y-x=1-t-t=1-2t, which can be ne thing based on t. so not sufficient. both taken together:y=1-t>0 so t-1 or 1-2t>1-2=-1 so cannot say ne thing. Hence E. Thnx Please give the OA.
Q1. if X>1 and Y>1, is X (1) X^2/(XY+X) (2) XY/Y^2-Y Q2. If x^3y^4=5,000, is y=5? (1)y is a positive integer. (2)x is an integer. Q3. A certain carton holds fewer than 50 books. What is the number of books in the carton? (1) The books in the carton can be divided into 3 stacks of X books each, with 2 books left over. (2) The books in the carton can be divided into Y stacks of 7 books each, with 2 books left over. Q4. Does the decimal equivalent of P/Q, where P and Q are positive integers, contain only a finite number of nonzero digits? (1) P>Q (2) Q=8 Q5. 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. Q6. 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.
Q1. if X>1 and Y>1, is X (1) X^2/(XY+X) (2) XY/Y^2-Y Q2. If x^3y^4=5,000, is y=5? (1)y is a positive integer. (2)x is an integer. Q3. A certain carton holds fewer than 50 books. What is the number of books in the carton? (1) The books in the carton can be divided into 3 stacks of X books each, with 2 books left over. (2) The books in the carton can be divided into Y stacks of 7 books each, with 2 books left over. Q4. Does the decimal equivalent of P/Q, where P and Q are positive integers, contain only a finite number of nonzero digits? (1) P>Q (2) Q=8 Q5. 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. Q6. 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.
1. is X insufficient (fails for for values X=2,Y=2) b) simpifying Xsufficient B 2. x^3 y^4=5000=2^3.5^4 or =2^3.(-5)^4 a) y>0 => y=5 sufficient b) x is I=>totally irrelevant isufficient so. A
3. na)n=3x+2=>5,8,11...,23,..44,47 insufficient b)n=7y+2=>9,16,23,..44 insufficient but together sufficient as 23 is the only common value so C
4. P/Q? a) P>Q 10/3 fails insufficient b) Q=8 therefore P/Q should always have a finite no of decimal digits sufficient B 5. C/10 > J/10? (where C and J are total no of books read by Carolyn and Jacob)
b) doesn't give enough info about the 10 week average. insufficient
I guess the conditions are insufficient even if taken together. so E 6.X>Y (5X+3Y)/8? a) X+Y=10 insufficient b)(5X+3Y)/8 = Int The think the only possbile values that satisfy the condition are X=9,18.. and Y=1,2.. still insufficient but taken together..the only pair that satisfies the eq is X=9 and Y=1 so C
surprisingly I also got the above ans but the OAs are 1 e 2 c 3 e 4 e 5 a 6 c
Sorry for overloading the ques Q3. Is y x positive? (1) y > 0 (2) x = 1 - y Thnx
The OA to this Q cannot be C. Consider (0,1) and (3/4, 1/4) both satisfy stmt 1 and 2 simultaneously. but for 1st one y-x=1>0 and for 2nd one y-x=-1/2So answer will be E.
Ans is C. Am i correct? From (1) we can infer y and z have same sign. Similarly from (2) x and y have same signs. So combining both x, y, z have same sign. So x(y+z) is greater than 0.
Given y is an integer is insufficient..because.. no matter what y is, the value x^3 y^4 = 5000.. with varied values of x... x is not an integer..
Same is the case when x is an integer..
only when x is an integer and y is an integer..since it is cube of X => x must be positive..
solutions: x=2, y = 5.. x=2, y=-5 is also a solution but gets void by the virtue of statment 1. Hence my pick 'C'.
5. 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?
Let average (arithmetic mean) number of books that Carolyn read per week = 'C' and the average number of books that Jacob read per week = 'J'.
=> Qn: C > J ??
stmt 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 * C) > (2 * J) -5 => J - C Sufficient.
stmt 2: During the last 5 weeks of the vacation, Carolyn read a total of 3 books more than Jacob. => Cant really say, because we donot know the first 5 weeks data..
Guys I need help with the solution of following questions from OG 11.
1. If r and s are positive numbers, r is what percentage of s? a. r/s = b. r+s = 75/100
2. If r and s are positive integers, is r/s an integer? a. Every factor of s is also a factor of r. b. Every prime factor of s is also a prime factor of r.
3. If z^n =1, what is the value of z? a. N is a nonzero integer. b. Z>0
Guys I need help with the solution of following questions from OG 11. 1. If r and s are positive numbers, r is what percentage of s? a. r/s = b. r+s = 75/100
2. If r and s are positive integers, is r/s an integer? a. Every factor of s is also a factor of r. b. Every prime factor of s is also a prime factor of r.
3. If z^n =1, what is the value of z? a. N is a nonzero integer. b. Z>0
4. If x != y, is (x-y)/(x+y) > 1 a. X>0 b. Y
1. r is what percentage of s ? Option 1: r/s = 3/4 => r is 75% of s. Sufficient. Option 2: r + s = 75/100. Can't be sure. Not sufficient. Answer should be A.
2. Is r/s = integer ? Option 1: Not sufficient. Every not all the factors of s is a factor of r. Option 2: Every prime factor of s is also a factor of r. Sufficient as denominator will become 1 on solving. Answer should be B.
3. z^n = 1. What is the value of z ? Option 1: N is non zero integer. z can be 1 or -1. Non sufficient. Option 2: z>0. Many combinations of z and n - (2,0) (3.0). Not sufficient. Option 1 and 2: Now z can only be 1. Sufficient. Answer should be C.
4. If x != y, is (x-y)/(x+y) > 1 Option 1: x>0. Can't know as no info about y is given. Option 2: yOption 1 and 2. Again can't be sure as not sure which is greater between x and y. Answer should be E.
