Find the missing number. 5,16,24,?,48,120,72,168
option
A. 36
B. 56
C. 64
D. 72
Answers
Answer:
72
Explanation:
Answer:
The missing number is 64 (Option C).
Explanation:
Consider the series: 5, 16, 24, ? , 48, 120, 72, 168
Divide the given series into two, i.e., even term series and odd term series.
Odd term series: 5, 24, 48, 72.
5 = (5 × 1) - 0
24 = (5 × 5) - 1
48 = (5 × 10) - 2
72 = (5 × 15) - 3
Even term series: 16, ? , 120, 168
(A) 36. Then series becomes 16, 36, 120, 168.
36 - 16 = 20
120 - 36 = 84
168 - 120 = 48
No similar pattern is followed.
(B) 56. Then series becomes 16, 56, 120, 168.
56 - 16 = 40
120 - 56 = 64
168 - 120 = 48
No similar pattern is followed.
(C) 64. Then series becomes 16, 64, 120, 168.
64 - 16 = 48
120 - 64 = 56
168 - 120 = 48
Notice that 48, 56, 48, pattern is followed.
(D) 72. Then series becomes 16, 72, 120, 168.
72 - 16 = 56
120 - 72 = 48
168 - 120 = 48
No similar pattern is followed.
Therefore, Option (C) is the correct answer.
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