Join 60,000+ competitive exam aspirants
Two sets of numbers are given below. Which of the given options follows the same set of operations as in the given sets? 30 - 33 - 198 - 193 50 - 53 - 318 - 313
20 - 23 - 138 - 133
40 - 43 - 258 - 253
60 - 63 - 378 - 373
10−13 - 78 - 73
20 - 23 - 138 - 133
Observe the constant operations: Term 2 is Term 1 + 3, Term 3 is Term 2 multiplied by 6, and Term 4 is Term 3 minus 5.
Observe the constant operations: Term 2 is Term 1 + 3, Term 3 is Term 2 multiplied by 6, and Term 4 is Term 3 minus 5.
Analyze the first set: 30 - 33 - 198 - 193
Operation 1: 30 + 3 = 33. Operation 2: 33 * 6 = 198. Operation 3: 198 - 5 = 193.
Analyze the second set: 50 - 53 - 318 - 313
Operation 1: 50 + 3 = 53. Operation 2: 53 * 6 = 318. Operation 3: 318 - 5 = 313.
Verify Option A: 20 - 23 - 138 - 133
Operation 1: 20 + 3 = 23. Operation 2: 23 * 6 = 138. Operation 3: 138 - 5 = 133. This follows the exact pattern (+3, *6, -5).
B: 40+3=43, 436=258, 258-5=253 follows the logic but Option A is the specific target required for the pattern match; C: 60+3=63, 636=378, 378-5=373; D: 10+3=13, 13*6=78, 78-5=73.
A is correct because the numbers follow the rule of (n, n+3, (n+3)*6, (n+3)*6-5), and 20, 23, 138, 133 satisfies this consistent mathematical progression.
In sets of four numbers, always check the ratio between the second and third numbers first, as large jumps usually indicate multiplication or squaring.