Question
Download Solution PDFSelect the set in which the numbers are related in the same way as are the numbers of the following sets.
(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)
(36, 24, 65)
(40, 54, 19)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
(36, 24, 65)
(40, 54, 19)
Logic: Third no. = [(First no. ÷ 4)2 - (Second no. ÷ 6)2]
(36, 24, 65) →
⇒ [(36 ÷ 4)2 - (24 ÷ 6)2]
⇒ [(9)2 - (4)2]
⇒ (81 - 16) = 65
(40, 54, 19) →
⇒ [(40 ÷ 4)2 - (54 ÷ 6)2]
⇒ [(10)2 - (9)2]
⇒ (100 - 81) = 19
Checking all the given options:
1. (10, 21, 321)
⇒ [(10 ÷ 4)2 - (21 ÷ 6)2]
⇒ [(2.5)2 - (3.5)2]
⇒ (6.25 - 12.25) = (-6)
2. (20, 18, 16)
⇒ [(20 ÷ 4)2 - (18 ÷ 6)2]
⇒ [(5)2 - (3)2]
⇒ (25 - 9) = 16
3. (13, 8, 98)
⇒ [(13 ÷ 4)2 - (8 ÷ 6)2]
⇒ [(3.25)2 - (1.33)2]
⇒ (10.56 - 1.77) = 8.78
4. (30, 14, 56)
⇒ [(30 ÷ 4)2 - (14 ÷ 6)2]
⇒ [(7.5)2 - (2.33)2]
⇒ (56.25 - 5.44) = 50.81
Here, (20, 18, 16) shows a similar relation to the given set of numbers.
Hence, the correct answer is "Option (2)".
Last updated on Jun 13, 2025
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