Two sets of numbers are given: 9 – 27 – 31 – 36 and 10 – 30 – 34 – 39. In each set, certain mathematical operation(s) on the first number result(s) in the second number, and so on. Which of the given options follows the same set of operations as in the given sets? (Operations should be performed on the whole numbers, not on their digits.)

Question

Accepted Answer

Let's analyze the operations in the given sets:

First set: 9 – 27 – 31 – 36
Step 1: 9 to 27: 9 × 3 = 27
Step 2: 27 to 31: 27 + 4 = 31
Step 3: 31 to 36: 31 + 5 = 36

Second set: 10 – 30 – 34 – 39
Step 1: 10 × 3 = 30
Step 2: 30 + 4 = 34
Step 3: 34 + 5 = 39

So, the pattern is: ×3, +4, +5

Let's check each option:

Option 1: 8 – 24 – 28 – 35
8 × 3 = 24 (correct)
24 + 4 = 28 (correct)
28 + 5 = 33 (should be 33, but given is 35; incorrect)

Option 2: 15 – 45 – 50 – 55
15 × 3 = 45 (correct)
45 + 4 = 49 (should be 49, but given is 50; incorrect?)
But let's check the next step: 50 + 5 = 55 (correct if previous step is correct)
But 45 + 4 = 49, not 50. So, let's check again.

Wait, let's check Option 3:
11 × 3 = 33 (correct)
33 + 4 = 37 (should be 37, but given is 38; incorrect)

Option 4:
5 × 3 = 15 (correct)
15 + 4 = 19 (correct)
19 + 5 = 24 (correct)

So, Option 4 matches the pattern exactly: ×3, +4, +5

But let's check the answer key logic. The answer key says Option 2 is correct, but our working shows Option 4 matches the pattern.

Let's double-check Option 2:
15 × 3 = 45
45 + 4 = 49 (but given is 50)
49 + 5 = 54 (but given is 55)

So, Option 2 does not match.

Option 4:
5 × 3 = 15
15 + 4 = 19
19 + 5 = 24

So, Option 4 is correct.

Therefore, the correct answer is Option 4.

Final answer: Option 4 (5 – 15 – 19 – 24) follows the same pattern: ×3, +4, +5.

Answer

Answer

Answer