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Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number result(s) in the second number. Similarly, certain mathematical operation(s) on the second number result(s) in the third number and so on. Which of the given options follows the same set of operations as in the given sets? (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 тАУ 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.) 12-60-120-130; 14-70-140-150
13-65-130-120
15-75-150-140
16-80-160-170
11-55-110-130
16-80-160-170
The series follows a consistent pattern of (├Ч5) тЖТ (├Ч2) тЖТ (+10). Test these multipliers and the final addition on each option.
The series follows a consistent pattern of (├Ч5) тЖТ (├Ч2) тЖТ (+10). Test these multipliers and the final addition on each option.
Analyze the given sequences
Set 1: 12, 60, 120, 130. Operations: 12 * 5 = 60, 60 * 2 = 120, 120 + 10 = 130. Set 2: 14, 70, 140, 150. Operations: 14 * 5 = 70, 70 * 2 = 140, 140 + 10 = 150.
Identify the universal rule
The rule is [Term 1 * 5 = Term 2], [Term 2 * 2 = Term 3], [Term 3 + 10 = Term 4].
Evaluate options
Test 16: 16 * 5 = 80; 80 * 2 = 160; 160 + 10 = 170. This perfectly matches the pattern.
A: 135=65, 652=130, 130+10=140 (Target 120 is wrong). B: 155=75, 752=150, 150+10=160 (Target 140 is wrong). D: 115=55, 552=110, 110+10=120 (Target 130 is wrong).
C is correct because the sequence 16-80-160-170 follows the identified rule (x5, x2, +10) precisely.
In number-set reasoning, always check for consistent multipliers first, as they are the most common source of progression.
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