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Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(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)
(2, 3, 25)
(3, 4, 49)
(4, 5, 81)
(4, 5, 91)
(4, 6, 110)
(4, 7, 111)
Let’s break it down:
- Look at the original sets: (2, 3, 25) and (3, 4, 49).
- If you take the first two numbers, square and multiply them: (2×3)² = 6² = 36 (not matching), but hold on.
- What about (First number × Second number) + (Second number)²?
- (2×3) + (3)² = 6 + 9 = 15 (not matching).
- Maybe try (First number) × (Second number)²:
- (2) × (3)² = 2 × 9 = 18 (not matching).
- Now, look at (First number + Second number)²:
- (2 + 3)² = (5)² = 25
- (3 + 4)² = (7)² = 49
- So the pattern is: (first number + second number) squared = third number.
Now, check the options:
1. (4, 5, 81): (4 + 5)² = 9² = 81 (Makes sense, fits the pattern)
2. (4, 5, 91): (4 + 5)² = 81, not 91
3. (4, 6, 110): (4 + 6)² = 100
4. (4, 7, 111): (4 + 7)² = 121
Correct Answer: Option 1 (4, 5, 81)
See? The logic is always squaring the sum of the first two numbers. Only option 1 fits. Hope this clears it up!
By: santosh ProfileResourcesReport error
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