sanju09 wrote:If a < b < c < d and the average (arithmetic mean) of a, b, c and d is m, which of the following is true?

I. a + b < c + d
II. m < d and a < m
III. b < m < c

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) II and III only

IMO D

sanju09 wrote:If a < b < c < d and the average (arithmetic mean) of a, b, c and d is m, which of the following is true?

I. a + b < c + d
II. m < d and a < m
III. b < m < c

(A) I only
(B) II only
(C) III only
(D) I and II only

(E) II and III only

me solving this would take 4 number satisfying condition i.e a=2,b=3,c=4,d=5 then m=3.5
I. a + b < c + d
true as a+b<c+d a,b are lesthan c as well as d


II. m < d and a < m
sarithmetic mean will will lie betweeen band c
so true
3.5<5
and 2<3.5
true

III. b < m < c


so i guess all of them will be true

Its seems 3 can be true.

the mean will be bw b and c

yes,all options are true.

surely the mean will be bw b and c

selango wrote:Its seems 3 can be true.

the mean will be bw b and c

Try this case: 1<2<100<200

kvcpk wrote:

selango wrote:Its seems 3 can be true.

the mean will be bw b and c

Try this case: 1<2<100<200

Well, the arithmetic mean of 1, 2, 100, and 200 is still between 2 and 100, so what's the hush-hush?

kvcpk,

here mean is 75.75

2>75.75<100.

3rd equation satisifed here

selango wrote:kvcpk,

here mean is 75.75

2>75.75<100.

3rd equation satisifed here

oops!! wrong example. try this:
1<2<3<3000

kvcpk wrote:

selango wrote:kvcpk,

here mean is 75.75

2>75.75<100.

3rd equation satisifed here

oops!! wrong example. try this:
1<2<3<3000

now is fine