Integers a, b, c, d are such that − 5 ≤ a ≤ 4 , − 2 ≤ b ≤ 6 , − 3 ≤ c ≤ 8 a n d − 4 ≤ d ≤ 6 . If X = ab + bc + cd + da, then find the least value of X? Options: A . &nbsp-96 B . &nbsp-72 C . &nbsp0 D . &nbsp-144 E . &nbsp5222

Integers a, b, c, d are such that −5≤a≤4, −2≤b≤6, −3≤c≤8 an

Question

Integers a, b, c, d are such that

- 5 \leq a \leq 4, - 2 \leq b \leq 6, - 3 \leq c \leq 8 a n d - 4 \leq d \leq 6

. If X = ab + bc + cd + da, then find the least value of X?

Answer: Option A
:
A
There are only 2 possibilities for minimum value -

Thus, the answer is option (a).

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