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CDS Model Paper 3 Mathematics
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© examsnet.com
Question : 4
Total: 100
A, B, C and D play a game of cards. A says to B. 'If I give you 8 cards, you will have as many as C has and I shall have 3 less than what C has. Also if I take 8 cards from
C
,
1
shall have twice as many as D has. If B and D together have 50 cards, how many cards has A got?
27
23
37
40
Validate
Solution:
B
+
D
=
50
...(i)
B
+
8
=
C
⇒
B
=
C
−
8
...(ii)
A
−
8
=
C
−
3
⇒
A
=
C
+
5
...(iii)
A
+
6
=
2
D
⇒
A
+
6
=
2
(
50
−
B
)
⇒
A
+
2
B
=
94
...(iv)
Putting the values of (ii) and (iii) in (iv) we get
C
+
5
+
2
(
C
−
8
)
=
94
⇒
3
C
−
11
=
94
⇒
C
=
105
3
=
35
A
=
40
,
B
=
27
,
C
=
35
,
D
=
23
© examsnet.com
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