1. If v and w are different integers, does v = 0? (1) vw = v2 (v square) (2) w = 2
E. 1.v2-vw=0 v(v-w)=0 v=0 or v=w 2.w=2 we cant that V=2
2. Is n an integer? (1) n2 (n square) is an integer (2) square root of n is an integer!
B
3. Does the integer k have a factor p such that 1
4! (2) 13 + 2 E. For 1. K>24 , so lets take K as 29 , then the only factors are 1,29 so cant say for 2. 2 So we can again take the above example to prove we cant say ,
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.
Yes you got all three right plus you got the source also correct. I disagreed with all of them y'day but on second read today, it is clear. Thanks.
Hi , for the above mentioned post by ramviswa , For the first one I missed the crucial part-v and w are different.But I am not sure of the third one.can you plz xplain it?
Hi , for the above mentioned post by ramviswa , For the first one I missed the crucial part-v and w are different.But I am not sure of the third one.can you plz xplain it?
HI Vikas, for the third one the expl is like this:
We must be able to find a factor p for k and the condition is 1
4! i.e, k>24.
Now if k=29 then we dont have a factor p that satisfies 1
Now consider 2) 13!=2 now let us take k=13!+2 so k can be re-written as k=2(1*3*4*.....*13 + 1). So here we have a factor 2 for k. So this satisfies 1
When X is divided by 7, the remainder is U. When Y is divided by 7, the remainder is V. What is the value of U+V?
(1) X+Y is divisible by 7 (2) X-Y is divisible by 7
Circle C and line K lie in the xy-plane. If circle C is centered at the origin and has radius 1, does line k intersect circle C?
(1) The x-intercept of line k is greater than 1 (2) The slope of line k is -1/10
A certain jar contains only b black marbles, w white marbles and r red marbles. If one marble is to be chosen at random from the jar, is
the probability that the marble chosen will be red greater than the probability that the marble chosen will be white?
(1) r/(b+w) > w/(b+r) (2) b-w > r
For each order, a mail-order bookseller charges a fixed processing fee and an additional shipping fee for each book in the order. Rajeev placed five different orders with this bookseller - an order for 1 book in January, an order for 2 books in february, 3 books in march, 4 books in april and 5 books in may. What was the total of Rajeev's processing and shipping fees for these five orders?
(1) Rajeev's processing and shipping fees were $1.00 more for his order in March than for his order in January (2) The total of Rajeev's shipping fees for the five orders was $7.50.
When X is divided by 7, the remainder is U. When Y is divided by 7, the remainder is V. What is the value of U+V?
(1) X+Y is divisible by 7 (2) X-Y is divisible by 7
D
Circle C and line K lie in the xy-plane. If circle C is centered at the origin and has radius 1, does line k intersect circle C?
(1) The x-intercept of line k is greater than 1 (2) The slope of line k is -1/10
E
A certain jar contains only b black marbles, w white marbles and r red marbles. If one marble is to be chosen at random from the jar, is
the probability that the marble chosen will be red greater than the probability that the marble chosen will be white?
(1) r/(b+w) > w/(b+r) (2) b-w > r
A
For each order, a mail-order bookseller charges a fixed processing fee and an additional shipping fee for each book in the order. Rajeev placed five different orders with this bookseller - an order for 1 book in January, an order for 2 books in february, 3 books in march, 4 books in april and 5 books in may. What was the total of Rajeev's processing and shipping fees for these five orders?
(1) Rajeev's processing and shipping fees were $1.00 more for his order in March than for his order in January (2) The total of Rajeev's shipping fees for the five orders was $7.50.
because frm stmt 1: 21= 11+10 and remainder = 4+3=7 . which is same for all case. hence sufficient.
frm stmt 2: 35= 45-10 and r= 3+3=6 also for 21= 30-9 , r= 2+2=4 . hence it gives different remainders for each case.
hence ans. is A
cheers!!!!!!!!
I think answer for 1st question should be A and C for the 2nd.
A.
1. since X and Y are divisible by 7
X = 7J+U (J constant integer) Y = 7K+V (K constant integer)
Now X+Y is also divisible by 7 so
X+Y = 7(J+K)+(U+V) so U+V has to be 7.
2. X-Y is also divisible by 7 X-Y = 7(J-K)+(U-V)
here U-V=7 or U-V=0 so we can't say what U+V will be. Not sufficient.
Hence answe should be A
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for second one.
to check if line intercepts the circle we need to know X and X intercepts of line.
1. Only says X intercept is greater than 1. not sufficient.
2. slope is -1/10
so y=(-1/10)x+c or 10y=-x+10c
X intercept (y=0) x=10C Y intercept (X=0) Y= C Not sufficient.
however, Combining 1 and 2, we know that x > 10 and y >1 so clearly x and Y intercepts of line are out of the circle; line doesn't intersect the circle.
I think answer for 1st question should be A and C for the 2nd.
A.
1. since X and Y are divisible by 7
X = 7J+U (J constant integer) Y = 7K+V (K constant integer)
Now X+Y is also divisible by 7 so
X+Y = 7(J+K)+(U+V) so U+V has to be 7.
2. X-Y is also divisible by 7 X-Y = 7(J-K)+(U-V)
here U-V=7 or U-V=0 so we can't say what U+V will be. Not sufficient.
Hence answe should be A
------------------------------
for second one.
to check if line intercepts the circle we need to know X and X intercepts of line.
1. Only says X intercept is greater than 1. not sufficient.
2. slope is -1/10
so y=(-1/10)x+c or 10y=-x+10c
X intercept (y=0) x=10C Y intercept (X=0) Y= C Not sufficient.
however, Combining 1 and 2, we know that x > 10 and y >1 so clearly x and Y intercepts of line are out of the circle; line doesn't intersect the circle.
Answer C.
For First one, what happens when u=0 and V=0?
For second one-What about the value of C.what happens when C=.2?
a.in the xy plance(r,s) lies on a circle with center at orgin .What is the value of r2 + s2 ? 1 The circle has a radius of 5 2 the point (v2,-v2) lies on the circle
b.If w and c are integers,is w>0 ? 1. w+c >50 2. c>48
c. John bought only $.15 and $ .29 stamps.How many $.15 stamps did she buy? 1. She bought $4.4 worth of stamps. 2. She bought an equal number of $.15 stamps and $.29 stamps.
d.For a convention,a hotel charges a daily room rate of $120 for 1 person and x dollars for each additional person.what is the charge of each additional person 1.The daily cost per person for 4 people sharing the cost of a room equally is $45 2.The daily cost per person for 2 people sharing the cost of a room equally is $25 more that corresponding cost for 4 people.
a.in the xy plance(r,s) lies on a circle with center at orgin .What is the value of r2 + s2 ? 1 The circle has a radius of 5 2 the point (v2,-v2) lies on the circle
Bcoz centre is at origin, the circle equation will be x2+y2=a2 so answer A. b.If w and c are integers,is w>0 ? 1. w+c >50 2. c>48 E.Consider the case when C=49 and C=60 c. John bought only $.15 and $ .29 stamps.How many $.15 stamps did she buy? 1. She bought $4.4 worth of stamps. 2. She bought an equal number of $.15 stamps and $.29 stamps.
C d.For a convention,a hotel charges a daily room rate of $120 for 1 person and x dollars for each additional person.what is the charge of each additional person 1.The daily cost per person for 4 people sharing the cost of a room equally is $45 2.The daily cost per person for 2 people sharing the cost of a room equally is $25 more that corresponding cost for 4 people. D Pls gimme the answers for these
c. John bought only $.15 and $ .29 stamps.How many $.15 stamps did she buy? 1. She bought $4.4 worth of stamps. 2. She bought an equal number of $.15 stamps and $.29 stamps.
do we really need 2 to get the answer? only combination of $.15 and $.29 that adds up to $4.4 is 10x$0.15 +10 $0.29.
I think answer could be A. i.e. If I didn't miss any combination.
For second one-What about the value of C.what happens when C=.2?
Here are the answers:
1. C
1) case i. X= 10 y = -10 u+v = 0 case ii X= 10 y=11 u+v = 7 So 1) not sufficient 2) case i X=10 y = 3 u+v = 6 case ii X =10 y = -4 u+v = -1 So 2) not sufficient But comb. We can say that X and Y are both div. by 7 and hence u+v = 0
2. E vikas130678, can you explain this.
3. E My answer was A but I dont know why its E
4. C
1) With the information we can find the shipping cost of book but not the processing fee 2) Only processing fee is provided
a.in the xy plance(r,s) lies on a circle with center at orgin .What is the value of r2 + s2 ? 1 The circle has a radius of 5 2 the point (v2,-v2) lies on the circle
b.If w and c are integers,is w>0 ? 1. w+c >50 2. c>48
c. John bought only $.15 and $ .29 stamps.How many $.15 stamps did she buy? 1. She bought $4.4 worth of stamps. 2. She bought an equal number of $.15 stamps and $.29 stamps.
d.For a convention,a hotel charges a daily room rate of $120 for 1 person and x dollars for each additional person.what is the charge of each additional person 1.The daily cost per person for 4 people sharing the cost of a room equally is $45 2.The daily cost per person for 2 people sharing the cost of a room equally is $25 more that corresponding cost for 4 people.
Pls gimme the answers for these
1. A 2. E 3. A 4. D
I will post my explanations if any answers are right.
c. John bought only $.15 and $ .29 stamps.How many $.15 stamps did she buy? 1. She bought $4.4 worth of stamps. 2. She bought an equal number of $.15 stamps and $.29 stamps.
do we really need 2 to get the answer? only combination of $.15 and $.29 that adds up to $4.4 is 10x$0.15 +10 $0.29.
I think answer could be A. i.e. If I didn't miss any combination.
Right Vikas .I simply go in to the number of variables and number of equations required.