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.)
(21, 63,189)
(19, 57, 171)
Option 1: (34, 102, 136)
Option 2: (23, 69, 207)
Option 3: (32, 69, 78)
Option 4: (24, 48, 96)
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Correct Answer: (23, 69, 207)
Solution :
Given:
(21, 63,189); (19, 57, 171)
Multiply the first number by 5 and add the resultant with the sum of the first and second numbers, to get the third number –
⇒ (21, 63,189)→(21 × 5) + (21 + 63) = 105 + 84 = 189
⇒ (19, 57, 171)→(19 × 5) + (19 + 57) = 95 + 76 = 171
Let's check each option –
First option:
(34, 102,136)→(34 × 5) + (34 + 102) = 170 + 136 = 306 ≠ 136
Second option:
(23, 69, 207)→(23 × 5) + (23 + 69) = 115 + 92 = 207
Third option:
(32, 69, 78)→(32 × 5) + (32 + 69) = 160 + 101 = 261 ≠ 78
Fourth option:
(24, 48, 96)→(24 × 5) + (24 + 48) = 120 + 72 = 192 ≠ 96
So, only the second option follows the same pattern as the given number pair. Hence, the second option is correct.
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