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 their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying 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, 7, 784) (6, 3, 324)
(5, 6, 900)
Test the pattern with the given set: if (a, b, (a×b)²) — (5, 6, 900): 5×6=30, 30²=900 ✓. (4, 6, 676): 4×6=24, 24²=576 ≠ 676 ✗. (4, 5, 380): 4×5=20, 20²=400 ≠ 380 ✗. (9, 3, 629): 9×3=27, 27²=729 ≠ 629 ✗.
Only (5, 6, 900) satisfies (a × b)² = c.
The correct answer is : (5, 6, 900).
Similar Questions
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Important Questions from Quant Based Puzzle
- There are deers and peacocks in a zoo. By counting heads they are 80. The number of their legs is 200. How many peacocks are there?
- A certain number of horses and an equal number of men are going somewhere. Half of the owners are on their horses' back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 70, how many horses are there?
- A, B, C, D and E play a game of cards. A says to B, "If you give me three cards, you will have as many as E has and if I give you three cards, you will have as many as D has". A and B together have 10 cards more than what D and E together have. If B has two cards more than what C has and the total number of cards be 133, how many cards does B have?
- A player holds 13 cards of four suits, of which seven are black and six are red. There are twice as many diamonds as spades and twice as many hearts as diamonds. How many clubs does he hold?
There are fourteen teams playing in a tournament. If every team plays one match with every other team, how many matches will be played in the tournament?
