when any number is divided by 7 reminder can be 0,1,2,3,4,5,6

From 1,
range is 6 that mean in the set of reminders 0 and 6 is present ..but others can be any number from 0 to 6..not sufficient

From 2

only possibility of the reminders is 0,1,2,3,4,5,6..sufficient

Ans option B

liferocks wrote:when any number is divided by 7 reminder can be 0,1,2,3,4,5,6

From 1,
range is 6 that mean in the set of reminders 0 and 6 is present ..but others can be any number from 0 to 6..not sufficient

From 2

only possibility of the reminders is 0,1,2,3,4,5,6..sufficient

Ans option B

sorry i dont understand!

range = highest no - lowest no. hence, the highest value in the set can be let's say 36 & the lowest hence will have to be 30 for range to be 6. therefore, the no.s in the set are 36,35,34,33,32,31 & 30. all of these divided by 7 give remainders; 1,0,6,5,4,3,2. sum is 21.

can you show me a set that doesnt equal 21 & has range 6??

thanks!

set of numbers is between 1 to 100

need to find the sum of remainders : ?
Statement 1. range of seven remainders is 6

lets try to find 6 numbers that we divide by 7, these can be

case 1 : 14,28,33,35,42,49,77

for all above except 33 remainder is 0 and for 33 remainder is 6 sum of remainders is 6

case 2 : 4,28,33,35,42,48,77

for all above remainder is zero except 48 and 33, which a remainder 6

sum is 6+6 = 12

Statement 2: The seven numbers selected are consecutive integers.

You can take any 7 consecutive numbers (for the given set) and they will have the following remainders
0,1,2,3,4,56

Lets check for 46,47,48,49,50,51,52.
remainders as follows : 4,5,6,0,1,2,3

Hence (B)

indiantiger wrote:set of numbers is between 1 to 100

need to find the sum of remainders : ?
Statement 1. range of seven remainders is 6

lets try to find 6 numbers that we divide by 7, these can be

case 1 : 14,28,33,35,42,49,77

for all above except 33 remainder is 0 and for 33 remainder is 6 sum of remainders is 6

case 2 : 4,28,33,35,42,48,77

for all above remainder is zero except 48 and 33, which a remainder 6

sum is 6+6 = 12

Statement 2: The seven numbers selected are consecutive integers.

You can take any 7 consecutive numbers (for the given set) and they will have the following remainders
0,1,2,3,4,56

Lets check for 46,47,48,49,50,51,52.
remainders as follows : 4,5,6,0,1,2,3

Hence (B)

oh oh just got it! i kept reading the range of the numbers rather than the range of the REMIANDERS!! ugghh :s

thanks very much for the replies!

mitzwillrockgmat wrote:

liferocks wrote:when any number is divided by 7 reminder can be 0,1,2,3,4,5,6

From 1,
range is 6 that mean in the set of reminders 0 and 6 is present ..but others can be any number from 0 to 6..not sufficient

From 2

only possibility of the reminders is 0,1,2,3,4,5,6..sufficient

Ans option B

sorry i dont understand!

range = highest no - lowest no. hence, the highest value in the set can be let's say 36 & the lowest hence will have to be 30 for range to be 6. therefore, the no.s in the set are 36,35,34,33,32,31 & 30. all of these divided by 7 give remainders; 1,0,6,5,4,3,2. sum is 21.

can you show me a set that doesnt equal 21 & has range 6??

thanks!

option 1 says The range of the seven remainders is 6..the bold part is imp..it does not say that The range of the seven number is 6
Hope this will clarify the doubt