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 – 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.) (9, 11, 404) (4, 13, 370)
Option 1: (8, 12, 416)
Option 2: (7, 11, 380)
Option 3: (8, 9, 300)
Option 4: (8, 10, 326)
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Correct Answer: (8, 12, 416)
Solution : Given: (9, 11, 404); (4, 13, 370)
Here, (9, 11, 404)→((9)2 + (11)2) × 2 = (81 + 121) × 2 = 202 × 2 = 404 (4, 13, 370)→((4)2 + (13)2) × 2 = (16 + 169) × 2 = 185 × 2 = 370
Let's check each option – First option: (8, 12, 416)→((8)2 + (12)2) × 2 = (64 + 144) × 2 = 208 × 2 = 416 Second option: (7, 11, 380)→((7)2 + (11)2) × 2 = (49 + 121) × 2 = 170 × 2 = 340 ≠ 380 Third option: (8, 9, 300)→((8)2 + (9)2) × 2 = (64 + 81) × 2 = 145 × 2 = 290 ≠ 300 Fourth option: (8, 10, 326)→((8)2 + (10)2) × 2 = (64 + 100) × 2 = 164 × 2 = 328 ≠ 326
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 given 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.) (8, 8, 128) (11, 7, 162)
Option 1: (7, 9, 128)
Option 2: (9, 8, 108)
Option 3: (6, 8, 124)
Option 4: (7, 8, 125)
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 – 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.) (9, 7,189) (4, 13, 156)
Option 1: (5, 9, 160)
Option 2: (6, 9, 162)
Option 3: (8, 5,125)
Option 4: (7, 8, 188)
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 - 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.) (17, 31, 7) (18, 40,11)
Option 1: (15, 3, 9)
Option 2: (18, 34, 7)
Option 3: (19, 38, 9)
Option 4: (12, 34, 11)
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.) (56, 5, 9) (80, 8, 12)
Option 1: (172, 8, 15)
Option 2: (151, 4, 13)
Option 3: (143, 12, 18)
Option 4: (100, 11, 14)
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 – 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.) (20, 16, 8) (10, 13, 12)
Option 1: (32, 27, 18)
Option 2: (13, 16, 13)
Option 3: (14, 18, 16)
Option 4: (19, 18, 21)
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