Question
Download Solution PDFSelect the set in which the numbers are related in the same way as are the numbers of the given set.
(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 / 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.)
(23, 161, 207)
(47, 329, 423)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe pattern followed here is:
Logic: First number × 7 = Second number and First number × 9 = Third number.
1) (23, 161, 207)
⇒ 23 × 7 = 161 and 23 × 9 = 207
2) (47, 329, 423)
⇒ 47 × 7 = 329 and 47 × 9 = 423
Let's check each option one by one.
Option 1) (64, 448, 576)
⇒ 64 × 7 = 448 and 64 × 9 = 576 (Correct)
Option 2) (84, 442, 570)
⇒ 84 × 7 = 588 ≠ 442 and 84 × 9 = 756 ≠ 570 (Incorrect)
Option 3) (29, 112, 782)
⇒ 29 × 7 = 203 ≠ 112 and 29 × 9 = 261 ≠ 782 (Incorrect)
Option 4) (33, 97, 297)
⇒ 33 × 7 = 231 ≠ 97 and 33 × 9 = 297 (Incorrect)
Hence, the correct answer is "(64, 448, 576)".
Alternate Method Logic: (1st number × 2) + 2nd number = 3rd number.
(23, 161, 207)
⇒ (23 × 2) + 161
⇒ 46 + 161 = 207.
(47, 329, 423)
⇒ (47 × 2) + 329
⇒ 94 + 329 = 423.
Similarly, for (64, 448, 576)
⇒ (64 × 2) + 448
⇒ 128 + 448 = 576.
Hence, the correct answer is "Option 1".
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