Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding/subtracting/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.) (4, 9, 16) (25, 36, 49)
Option 1: (49, 64, 81)
Option 2: (1, 16, 49)
Option 3: (36, 81, 49)
Option 4: (49, 36, 81)
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Correct Answer: (49, 64, 81)
Solution : Given: (4, 9, 16); (25, 36, 49)
The given numbers are squares of consecutive natural numbers – ⇒ (4, 9, 16)→2 2 = 4; (2 + 1) 2 = 3 2 = 9; (3 + 1) 2 = 4 2 = 16 ⇒ (25, 36, 49)→5 2 = 25; (5 + 1) 2 = 6 2 = 36; (6 + 1) 2 = 7 2 = 49
Let's check each option – First option: (49, 64, 81)→7 2 = 49, (7 + 1) 2 = 8 2 = 64, (8 + 1) 2 = 9 2 = 81 Second number: (1, 16, 49)→1 2 = 1, (1 + 1) 2 = 2 2 = 4 ≠ 16, (2 + 1) 2 = 3 2 = 9 ≠ 49 Third number: (36, 81, 49)→6 2 = 36, (6 + 1) 2 = 7 2 = 49 ≠ 81, (7 + 1) 2 = 8 2 = 64 ≠ 49 Fourth number: (49, 36, 81)→7 2 = 49, (7 + 1) 2 = 8 2 = 64 ≠ 36, (8 + 1) 2 = 9 2 = 81
So, only the first option follows the same pattern as followed by the given set of numbers. Hence, the first option is correct.
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Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 -
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 –
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 -
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