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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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Select 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 their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(3, 40, 42)
(1, 59, 63)
(4, 54, 56)
(8, 89, 90)
(3, 41 45)
(7, 74, 72)
(7, 74, 72)
Quick Trick: Calculate (Term 1 + Term 3) / 2 to get Term 2. For (3, 40, 42), (3 + 42)/2 = 22.5, but looking at differences: Term 3 - Term 2 = 2, and Term 2 - Term 1*10 = 10. Better logic: Term 2 = (Term 1 * 10) + 10, Term 3 = Term 2 + 2. Check Set...
Calculate (Term 1 + Term 3) / 2 to get Term 2. For (3, 40, 42), (3 + 42)/2 = 22.5, but looking at differences: Term 3 - Term 2 = 2, and Term 2 - Term 110 = 10. Better logic: Term 2 = (Term 1 * 10) + 10, Term 3 = Term 2 + 2. Check Set 2 (1, 59, 63): wait, (1, 59, 63) -> 110 + 49? Let's re-verify: Term 2 + Term 3 - Term 1: 40 + 42 - 3 = 79. Notice Term 2 + Term 3: 40+42=82 = 3 + 79. For (1, 59, 63): 59+63=122 = 1 + 121 (11°2). For (3, 40, 42): 40+42=82 = 3 + 79 (not square). Look at: Term 3 - Term 2 = 2 in set 1 (42-40=2). Term 3 - Term 2 = 4 in set 2 (63-59=4). Term 1 is 3 and 1. Notice 42 - 40 = 2 = 3 - 1? Or Term 3 - Term 2 = 5 - Term 1? For set 1: 42 - 40 = 2 = (5 - 3). For set 2: 63 - 59 = 4 = (5 - 1). Check options for Term 3 - Term 2 = 5 - Term 1: Option A (4, 54, 56): 56 - 54 = 2, 5 - 4 = 1 (no). Option D (7, 74, 72): 72 - 74 = -2, 5 - 7 = -2! Option D works!
Analyze Given Set 1
In set (3, 40, 42), calculate the difference between the third term and the second term: 42 - 40 = 2. Notice that 2 = 5 - 3 (where 3 is the first term).
Analyze Given Set 2
In set (1, 59, 63), calculate the difference between the third term and the second term: 63 - 59 = 4. Notice that 4 = 5 - 1 (where 1 is the first term).
Establish Rule & Test Options
General Rule: (Term 3 - Term 2) = 5 - Term 1. Testing Option D (7, 74, 72): Term 3 - Term 2 = 72 - 74 = -2. 5 - Term 1 = 5 - 7 = -2. The rule holds true!
A: 56 - 54 = 2, but 5 - 4 = 1 (mismatch). B: 90 - 89 = 1, but 5 - 8 = -3 (mismatch). C: 45 - 41 = 4, but 5 - 3 = 2 (mismatch).
D is correct because the difference between the third and second numbers (72 - 74 = -2) equals 5 minus the first number (5 - 7 = -2), perfectly following the established pattern.
In modern SSC/RRB number triplet questions, when large middle/last terms seem unrelated, immediately test the relation between (Term 3 - Term 2) and a simple transformation of Term 1.