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CAT Exam 2021 Slot 1 Solved Paper
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© examsnet.com
Question : 53
Total: 66
A basket of 2 apples, 4 oranges and 6 mangoes costs the same as a basket of 1 apple, 4 oranges and 8 mangoes, or a basket of 8 oranges and 7 mangoes. Then the number of mangoes in a basket of mangoes that has the same cost as the other baskets is
11
13
10
12
Validate
Solution:
Let the cost of an apple, an orange and a mango be a, o, and m respectively.
Then it is given that:
2
a
+
4
o
+
6
m
=
a
+
4
o
+
8
m
or
a
=
2
m
Also,
a
+
4
o
+
8
m
=
8
o
+
7
m
10
m
−
7
m
=
4
o
3
m
=
4
o
We can now express the cost of a basket in terms of mangoes only:
2
a
+
4
o
+
6
m
=
4
m
+
3
m
+
6
m
=
13
m
© examsnet.com
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