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Problems based on Numbers Test 5
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© examsnet.com
Question : 23
Total: 40
A woman sells to the first customer half her stock of apples and half an apple, to the second customer half an apple and half of her remaining stock and so also to a third customer and to a fourth customer. She finds that she has now 15 apples left. How many apples had she at first?
250
155
125
255
Validate
Solution:
Let the total number of apples = x.
Apples given to the first customer
=
x
2
+
1
2
Remaining apples
=
x
−
(
x
2
+
1
2
)
=
x
2
−
1
2
Apples given to the second customer
=
x
4
−
1
4
+
1
2
=
x
4
+
1
4
Remaining apples
=
x
4
−
3
4
.
Apples given to the third customer
=
x
8
−
3
8
+
1
2
=
x
8
+
1
8
Remaining apples
=
x
8
−
7
8
Apples given to fourth customer
=
x
16
−
7
16
+
1
2
=
x
16
+
1
16
Remaining apples
=
x
16
−
15
16
=
15
⇒
x
−
15
=
240
x
=
255
So, the total number of apple is equal to 255.
© examsnet.com
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