23) D

For explaining this easily, we will name the 3 changes that occurred to the initial score (initial score is the score when the person returned to the desk) as change 1, change 2 and change 3 (which is the current score).

To solve this question, we would have to use the answers given to us and work backwards.

Total number of runs made by the batsmen = 4 + 6 + 4 + 6 + 6 + 4 = 30

Option A: 293

If we subtract 30 from 293, it will give us 263 (initial score). This cannot be correct as it does not correspond to the first view of the score.

Option B: 297

If we subtract 30 from 297, it will give us 267 (initial score). This cannot be correct as it does not correspond to the first view of the score.

Option C: 302

If we subtract 30 from 302, it will give us 272 (initial score). This can be the correct answer as it corresponds to the first view of the score. Let us look at the change 1.

After the first 4, the part of the score does not change. 272 + 4 = 276. This cannot be correct as 276 as the part of the score should change.

Option D: 303

If we subtract 30 from 303, it will give us 273 (initial score). This can be the correct answer as it corresponds to the first view of the score.

After the first 4, the part of the score does not change. 273 + 4 = 277.

The part of the score would not change when score changes from 273 to 277. Let us look at change 1.

After first 6, score would then be 277 + 6 = 283. This corresponds to the picture shown in change 1.

After the third 6, score would be = 283 + 4 + 6 + 6 = 299. This corresponds to the picture shown for change 2.

After last 4, score would be 299 + 4 = 303. This corresponds to the picture shown for change 3, which is the current score. So D is the answer.

If you follow the same steps for option E, you would realise that option E cannot be correct.

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