15 is related to 195 following a certain logic. Following the same logic, 19 is related to 247. To which of the following is 24 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.)
- A322
- B332
- C300
- D312
Solution & Step-by-step Explanation
Let's determine the logic connecting the given pairs of numbers:
First Pair: (15,195)
15×(15−2)=15×13=195
Second Pair: (19,247)
19×(19−2)=19×17=247
The established logic is:
Number×(Number−2)=Result
Applying this same logic to 24:
24×(24−2)=24×22=528
Let's re-verify alternative patterns if the result isn't listed.
Another possible pattern:
15×13=195⟹where 13=15−2
19×13=247⟹where 13 is constant? No, 19×13=247
Ah! Let's check:
19×13=247
15×13=195
Both numbers are simply multiplied by the constant multiplier 13:
15×13=195
19×13=247
Following this fixed pattern for 24:
24×13=312
First Pair: (15,195)
15×(15−2)=15×13=195
Second Pair: (19,247)
19×(19−2)=19×17=247
The established logic is:
Number×(Number−2)=Result
Applying this same logic to 24:
24×(24−2)=24×22=528
Let's re-verify alternative patterns if the result isn't listed.
Another possible pattern:
15×13=195⟹where 13=15−2
19×13=247⟹where 13 is constant? No, 19×13=247
Ah! Let's check:
19×13=247
15×13=195
Both numbers are simply multiplied by the constant multiplier 13:
15×13=195
19×13=247
Following this fixed pattern for 24:
24×13=312