Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following 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.)
(44, 63, 98)
(59, 99, 149)
Option 1: (81, 15, 87)
Option 2: (54, 73, 121)
Option 3: (19, 32, 44)
Option 4: (82, 13, 96)
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Correct Answer: (81, 15, 87)
Solution :
Given:
(44, 63, 98); (59, 99, 149)
In the given sets, the sum of the first and second numbers equals the sum of the third number and 9.
(44, 63, 98)→44 + 63 = 107; 98 + 9 = 107
(59, 99, 149)→59 + 99 = 158; 149 + 9 = 158
Let's check the options –
First option:
(81, 15, 87)→81 + 15 = 96; 87 + 9 = 96
Second option:
(54, 73, 121)→54 + 73 = 127; 121 + 9 = 130 ≠ 127
Third option:
(19, 32, 44)→19 + 32 = 51; 44 + 9 = 53 ≠ 51
Fourth option:
(82, 13, 96)→82 + 13 = 95; 96 + 9 = 105 ≠ 95
So, only the first option, follows the pattern of the given sets. Hence, the first option is correct.
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