Two sets of four numbers are given below. In each set of four numbers, a certain mathematical operation on the first number results in the second number. Similarly, a certain mathematical operation on the second number results in the third number and so on.

Which of the options given below follow the same set of mathematical operations?

29 – 841 – 752 – 784

31 – 961 – 872 – 904

Let me find the pattern by examining what operations connect the numbers in each given set.

First set: 29 – 841 – 752 – 784

$29 \to 841$: Check if $29^2 = 841$ ✓

$841 \to 752$: The difference is $841 - 752 = 89$, so we subtract 89

$752 \to 784$: The difference is $784 - 752 = 32$, so we add 32

Second set: 31 – 961 – 872 – 904

$31 \to 961$: Check if $31^2 = 961$ ✓

$961 \to 872$: The difference is $961 - 872 = 89$, so we subtract 89

$872 \to 904$: The difference is $904 - 872 = 32$, so we add 32

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The pattern is: Square → Subtract 89 → Add 32

Now checking each option:

Option 1: 34 – 1156 – 1067 – 1099

Operation	Calculation	Result	Match?
Square 34	$34^2$	1156	✓
Subtract 89	$1156 - 89$	1067	✓
Add 32	$1067 + 32$	1099	✓

All three operations match perfectly!

Option 2: 43 – 1849 – 1758 – 1790

$43^2 = 1849$ ✓, but $1849 - 89 = 1760 \neq 1758$ ✗

Option 3: 37 – 1332 – 1243 – 1275

$37^2 = 1369 \neq 1332$ ✗

Option 4: 45 – 2025 – 1936 – 1986

$45^2 = 2025$ ✓, $2025 - 89 = 1936$ ✓, but $1936 + 32 = 1968 \neq 1986$ ✗

Only Option 1 follows all the operations correctly.