CAT 2020 Exam Shift 3 Solved Paper

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Question : 41 of 76

Marks: +1, -0

Among the following days, the largest fraction of orders booked on which day was lost?

14 th
13 th
15 th
16 th

Solution:

	Booked		Delivered		Lost
nth day	Cumulative	nth day	Delivered [n - 1,n - 2]	Cumulative	nth day
11	174
12	188	14
13	219	31	11[7, 4]	91
14	249	30	27 [21,6]	92	1
15	277	28	23[15,8]	94	2
16	302	25	11 [8,3]	106	12
17	327	25	21 [13,8]	118	12
18	332	5	13[3, 120]	120	2
19	337	5	14[1, 13]	129	9

14^{\;\text "th"\;}

day

⇒ 30

Booked

⇒ 12

loss

⇒ \;{12}/{30}

13^{\;\text "th "\;}

day

⇒ 31

Booked

⇒ 2

loss

=\;{2}/{31}

16^{\;\text "th "\;}

day

⇒ 25

Booked

⇒ 2

loss

⇒ \;{2}/{25}

15^{\;\text "th"\;}

day

⇒ 28

Booked

⇒ 12

loss

⇒ \;{12}/{28}

The highest value is

\;{12}/{28}

, on the

15^{\;\text "th "\;}

day.

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