Ankit, For a quadrilateral to become a parallelogram(here rectangle) opposite angles should be equal and adjacent angles should be complimentary.Here we can say only that angle S = angle V =90 so angle R+angle T =180 but we are not told that side RS parallel to VT or RV parallel to ST. so hw can we conclude that R = angle T =90 or it can be any two angles whose sum can be 180.
Pls correct me if i'm wrong........
Ashish, I'll try to explain it practically as i dont know how to prove it theoretically. When angles S,V are 90 deg.The sides RS and VT have to be to each other. I think it is not geometrically possible otherwise in a quad with vertices in the order RSTV.
Ashish, I'll try to explain it practically as i dont know how to prove it theoretically. When angles S,V are 90 deg.The sides RS and VT have to be to each other. I think it is not geometrically possible otherwise in a quad with vertices in the order RSTV.
hope this helps...
Raj
The sides RS & TV are not necesserily parallel.......I have included a diagram for that......It can be either two of the figures....
Here are some questions from GMAT Prep..Plz help with answers and reasoning..Thanks a lot!
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. -----------------------------------------------------------------------
Here are some questions from GMAT Prep..Plz help with answers and reasoning..Thanks a lot!
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. -----------------------------------------------------------------------
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
(1) line x = 3 will not go thru it. line x+y=1.1 will. Insufficient (2) line 10y + X = 100 will not go through it. line 10Y+x = 1 will. Insuficient. Combining 10y+x =1.1 will go thru it. 10+x=200 will not. Insufficient Answer E
Can someone pls explain the answer to the q below... If there are more than 2 numbers in a certain list,is each of the numbers in the list equal to 0? 1)the product of any two numbers in the list is equal to 0 2)The sum of any 2 numbers in the list is equal to 0
Can someone pls explain the answer to the q below... If there are more than 2 numbers in a certain list,is each of the numbers in the list equal to 0? 1)the product of any two numbers in the list is equal to 0 2)The sum of any 2 numbers in the list is equal to 0
Its C Stem 1: Each of nos could be o or either no can be 0 for the pdt of nos to be 0 Stem 2: Each could be 0 or nos equal in magnitude but opposite in sign.
Can someone pls explain the answer to the q below... If there are more than 2 numbers in a certain list,is each of the numbers in the list equal to 0? 1)the product of any two numbers in the list is equal to 0 2)The sum of any 2 numbers in the list is equal to 0
Tricky one
My explanation and answer -
Option 1 : Product of any 2 numbers is zero. There could be 1 number in the list which can be non-zero and this criteria will satisfy. E.g : Not sufficient.
Option 2 : Sum of any 2 numbers in the list is 0. That means, every number in the list has to be zero. As sum of any 2 numbers can be xero only in 2 cases - either both numbers are of equal magnitude but opposite in sign BUT in this case not all the sums will be 0. So, the other case in which all the numbers have to be 0 should hold true. E.g : Sufficent.
Option 1 : Product of any 2 numbers is zero. There could be 1 number in the list which can be non-zero and this criteria will satisfy. E.g : Not sufficient.
Option 2 : Sum of any 2 numbers in the list is 0. That means, every number in the list has to be zero. As sum of any 2 numbers can be xero only in 2 cases - either both numbers are of equal magnitude but opposite in sign BUT in this case not all the sums will be 0. So, the other case in which all the numbers have to be 0 should hold true. E.g : Sufficent.
Answer should be B.
Whats the oA ?
When I saw srikanth267's reply i had to do my calcs again... 'cos i thought B wud suffice.. So my guess is it should be 'B'.
Can someone pls explain the answer to the q below... If there are more than 2 numbers in a certain list,is each of the numbers in the list equal to 0? 1)the product of any two numbers in the list is equal to 0 2)The sum of any 2 numbers in the list is equal to 0
As per me the answer should be B)
lets take first statement
list is (x,y,z) as per condition x*y= 0,y*z=0,z*x=0
either (x=y=z=0) or (x=y=0 and z
0) so first is insufficient
now take second statement list (x,y,z) as per condition x+y=0,y+z=0,z+x=0 since x+y=0 => x=-y ------------1 since y+z=0 => y=-z-------------2 since z+x=0 => z=-x-------------3 now from equaltion 1 and 2 above x=z but as per 3 equation z=-x hence we can say all x,y,z has to be zero to satisfy this
hence it is sufficient
so answer should be B what is OA correct me if i am wrong
If the units digit of the three-digit positive integer k is nonzero, what is the tens digit of k? (1) The tens digit of k + 9 is 3. (2) The tens digit of k + 4 is 2.
If the units digit of the three-digit positive integer k is nonzero, what is the tens digit of k? (1) The tens digit of k + 9 is 3. (2) The tens digit of k + 4 is 2.
My guess would be (C) - Both are required
tens digit of k + 9 is 3 => the last two digits of the number can be 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 => Tens digit can be 2 or 3
The tens digit of k + 4 is 2 => the last two digits of the number can be 16, 17, 18, 19, 20, 21, 22, 23, 24, 25 => Tens digit can be 1 or 2
So combining --> It must be 2 (any of 21, 22, 23, 24, 25)
If the units digit of the three-digit positive integer k is nonzero, what is the tens digit of k? (1) The tens digit of k + 9 is 3. (2) The tens digit of k + 4 is 2.
I think the answer should be A.
Option A : As the units digit of k is a non-zero and when 9 is added to k, the tenth digit becomes 3 then tenth digit of k has to be 2
Ex:- suppose the unit digit can be any among 1,2,...,9 and when 9 is added to any of them only +1 will get carried to the tenth digit which is becoming 3 so earlier it would have been 2.
So, this option is sufficient and tenth digit is 2.
Option B : If 4 is added to k then we can't be sure as anything will be carried forward or not so not sufficient.
@alchemist - i think u missed one point that ones digit is non zero so 30 can't be in the list.
Option A : As the units digit of k is a non-zero and when 9 is added to k, the tenth digit becomes 3 then tenth digit of k has to be 2
Ex:- suppose the unit digit can be any among 1,2,...,9 and when 9 is added to any of them only +1 will get carried to the tenth digit which is becoming 3 so earlier it would have been 2.
So, this option is sufficient and tenth digit is 2.
Option B : If 4 is added to k then we can't be sure as anything will be carried forward or not so not sufficient.
@alchemist - i think u missed one point that ones digit is non zero so 30 can't be in the list.
Whats the OA ?
@Dopa you are correct 30 should not come into picture... When i worked the plm i thought i read non zero then after i worked (ii) - i put 20 and somehow corrected the first one too...... Sorry to mislead... Thanks for correcting me.
A cash register in a certain clothing store is the same distance from two dressing rooms in the store. If the distance between the two dressing rooms is 16 feet, which of the following could be the distance between the cash register and either dressing room? I. 6 feet II. 12 feet
III. 24 feet
A. I only B. II only C. III only D. I and II E. II and III
A cash register in a certain clothing store is the same distance from two dressing rooms in the store. If the distance between the two dressing rooms is 16 feet, which of the following could be the distance between the cash register and either dressing room? I. 6 feet II. 12 feet III. 24 feet A. I only B. II only C. III only D. I and II E. II and III
I think the answer will be E. The distance between cash register and dressing room could be 8 feet or more than that.
