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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 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.)
(14, 17, 970)
(15, 23, 1508)

Option 1: (17, 24, 1730)

Option 2: (16, 22, 1580)

Option 3: (18, 32, 2686)

Option 4: (19, 31, 2642)


Team Careers360 18th Jan, 2024
Answer (1)
Team Careers360 22nd Jan, 2024

Correct Answer: (17, 24, 1730)


Solution : Given:
(14, 17, 970); (15, 23, 1508)

The pattern is as follows –
(14, 17, 970)→{(14) 2 + (17) 2 } × 2 = {196 + 289} × 2 = 485 × 2 = 970
(15, 23, 1508)→{(15) 2 + (23) 2 } × 2 = {225 + 529} × 2 = 754 × 2 = 1508

Let's check the options –
First option: (17, 24, 1730)→{(17) 2 + (24) 2 } × 2 = {289 + 576} × 2 = 865 × 2 = 1730
Second option: (16, 22, 1580)→{(16) 2 + (22) 2 } × 2 = {256 + 484} × 2 = 740 × 2 = 1480 ≠ 1580
Third option: (18, 32, 2686)→{(18) 2 + (32) 2 } × 2 = {324 + 1024} × 2 = 1348 × 2 = 2696 ≠ 2686
Fourth option: (19, 31, 2642)→{(19) 2 + (31) 2 } × 2 = {361 + 961} × 2 = 1322 × 2 = 2644 ≠ 2642

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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