Q 24. Mark the odd one out from the given options. Ops: A. O 128 B. 512 CD 1024 D. 4056
Answers
Answer:
128,512,1,024,4,056
4,056 because it can be exactly divided by 3 but rest cannot be divided by 3
Step-by-step explanation:
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Given:
A set of 4 numbers 128, 512, 1024, and 4056.
To Find:
The odd number of the given four numbers is?
Solution:
1. The given numbers are 128, 512, 1024, and 4056.
2. Factorize every number,
=> 128:
=> 128 = 2 x 64,
=> 128 = 2 x 2 x 32,
=> 128 = 2 x 2 x 2 x 16,
=> 128 = 2 x 2 x 2 x 2 x 8,
=> 128 = 2 x 2 x 2 x 2 x 2 x 4,
=> 128 = 2 x 2 x 2 x 2 x 2 x 2 x 2.
=> 128 = (2^7)
=> 512:
=> 512 = 2 x 256,
=> 512 = 2 x 2 x 128,
=> 512 = 2 x 2 x 2 x 64,
=> 512 = 2 x 2 x 2 x 2 x 32,
=> 512 = 2 x 2 x 2 x 2 x 2 x 16,
=> 512 = 2 x 2 x 2 x 2 x 2 x 2 x 8,
=> 512 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 4,
=> 512 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2,
=> 512 = (2^9)
=> 1024:
=> 1024 = 2 x 512,
=> 1024 = 2 x 2 x 256,
=> 1024 = 2 x 2 x 2 x 128,
=> 1024 = 2 x 2 x 2 x 2 x 64,
=> 1024 = 2 x 2 x 2 x 2 x 2 x 32,
=> 1024 = 2 x 2 x 2 x 2 x 2 x 2 x 16,
=> 1024 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 8,
=> 1024 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 4,
=> 1024 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2,
=> 1024 = (2^10)
=> 4056:
=> 4056 = 2 x 2028,
=> 4056 = 2 x 2 x 1014,
=> 4056 = 2 x 2 x 507,
=> 4056 = 2 x 2 x 3 x 169,
=> 4056 = 2 x 2 x 3 x 13 x 13.
3. The numbers 128, 512, and 1024 can be written in the powers of 2, as mentioned above whereas the number 4056 cannot be written only in the powers of 2. Hence 4056 is the odd term of the given 4 numbers,
Therefore, the odd term of the given 4 numbers is 4056. Option D is the correct answer.