Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g.13 – operations can be performed on 13, such as adding/subtracting/multiplying, etc., to 13. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(510, 727, 1329)
(1726, 2195, 3373)
Option 1: (127, 1002, 342)
Option 2: (1730, 2197, 62)
Option 3: (23, 215, 123)
Option 4: (1726, 998, 341)
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Correct Answer: (1726, 998, 341)
Solution :
Given:
(510, 727, 1329)
(1726, 2195, 3373)
(510, 727, 1329)→8³ – 2 = 512 – 2 = 510; 9³ – 2 = 729 – 2 = 727; 11³ – 2 = 1331 – 2 = 1329
(1726, 2195, 3373)→12³ – 2 = 1728 – 2 = 1726; 13³ – 2 = 2197 – 2 = 2195; 15³ – 2 = 3375 – 2 = 3373
Let's check each option:
First option:
(127,1002, 342)→5³ + 2 = 127; 10³ = 1000 + 2 = 1002; 7³ = 343 – 1 = 342; The pattern is not being followed.
Second option:
(1730, 2197, 62)→12³ + 2 = 1728 + 2 = 1730; 13³ = 2197; 4³ = 64 – 2 = 62; The pattern is not being followed.
Third option:
(23, 215, 123)→3³ – 4 = 27 – 4 = 23; 6³ – 1 = 216 – 1 = 215; 5³ – 2 = 125 – 2 = 123; The pattern is not being followed.
Fourth option:
(1726, 998, 341)→12³ – 2 = 1728 – 2 = 1726; 10³ – 2 = 1000 – 2 = 998; 7³ – 2 = 343 – 2 = 341
So, only the fourth option follows the same pattern as the given sets. Hence, the fourth option is correct.
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