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.)
(0.20, 5, 25)
(0.083, 12, 144)
Option 1: (0.240, 4, 16)
Option 2: (0.143, 6, 36)
Option 3: (0.056, 18, 289)
Option 4: (0.0625, 16, 256)
Correct Answer: (0.0625, 16, 256)
Solution :
Given:
(0.20, 5, 25); (0.083, 12, 144)
In the above-given sets, the pattern followed is as follows –
(0.20, 5, 25)→5 ÷ 25 = 0.20; 5; (5)
2
= 25
(0.083, 12, 144)→12 ÷ 144 = 0.083; 12; (12)
2
= 144
Let's check the given options –
First option:
(0.240, 4, 16)→4 ÷ 16 = 0.250
≠
0.240
; 4; (4)
2
= 16
Second option:
(0.143, 6, 36)→6 ÷ 36 = 0.167
≠
0.143
; 6; (6)
2
= 36
Third option:
(0.056, 18, 289)→18 ÷ 289 = 0.062
≠ 0.056
; 18; (18)
2
= 324
≠
289
Fourth option:
(0.0625, 16, 256)→16 ÷ 256 = 0.0625; 16; (16)
2
= 256
So, only the fourth option follows the same pattern as followed by the given set of numbers. Hence, the fourth option is correct.
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