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SSC CGL Tier I PYP >> Sept 11, 2024 - Shift 1 >> General Intelligence

Question :

8 is related to 512 following a certain logic. Following the same logic, 12 is related to 1728. To which of the following is 15 related, following the same logic?

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding /deleting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)

1. 2275

2. 2725

3. 3375

4. 3735

Correct Answer : 3

Solution :

Let's look at the given relationship:

· 8 is related to 512

Notice that 8³=512. So the relationship here is that 8 is raised to the power of 3 to get 512.

· 12 is related to 1728

Similarly, 12³=1728 . The same logic applies here - 12 is raised to the power of 3.

Now, applying the same logic to 15:

· 15³=3375

So, 15 is related to 3375, which matches option (c).

Thus, the correct answer is c) 3375.

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