IndiaBIX

Verbal Reasoning - Arithmetic Reasoning - Discussion

Discussion Forum : Arithmetic Reasoning - Section 1 (Q.No. 45)
Arithmetic Reasoning
45.
In a cricket match, five batsmen A, B, C, D and E scored an average of 36 runs. D Scored 5 more than E; E scored 8 fewer than A; B scored as many as D and E combined; and B and C scored 107 between them. How many runs did E score ?
62
45
28
20
Answer: Option
Explanation:

Total runs scored = (36 x 5) = 180.

Let the runs scored by E be x.

Then, runs scored by D = x + 5; runs scored by A = x + 8;

runs scored by B = x + x + 5 = 2x + 5;

runs scored by C = (107 - B) = 107 - (2x + 5) = 102 - 2x.

So, total runs = (x + 8) + (2x + 5) + (102 - 2x) + (x + 5) + x = 3x + 120.

Therefore 3x + 120 =180 3X = 60 x = 20.

Discussion:
10 comments Page 1 of 1.
Anonymous said:   1 week ago
"B and C scored 107 between them"
What does between them mean? Shouldn't it be subtracted then i.e., C-B = 180?
How come B+C=180?
Otherwise, the statement should be "B and C scored 107 combined"
Shivish said:   7 years ago
(A+B+C+D+E)/5 = 36.
36*5 = 180.
(1)
Sunita said:   7 years ago
How come 180? Explain.
Kootu Richard said:   7 years ago
How come 180 here?
Deep said:   7 years ago
How can I get 180? Please explain.
Angle said:   8 years ago
How can I get 180?
Debishree said:   8 years ago
@Azharuddin.

Its easy and clear. Thanks.
Siyad said:   8 years ago
@Azharuddin.

Well said, Thanks @Azharuddin.
Wakabala Elly said:   9 years ago
@Azharuddin.

Your solution is so short and clear. I have got it now. Thanks.
Azharuddin said:   1 decade ago
Simply you can do it like this:

(E+8)+107+(E+5)+E = 180.

3E+120 = 180.

E = 20.
(3)
Post your comments here:

Your comments will be displayed after verification.

Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers