In a lathe gear box if first four consecutive speed are 19, 30, 47, 74 rpm, the next speed would be
A)116 rpm
B)104 rpm
C)111 rpm
D)93 rpm
E)101 rpm

Question

Quizplus · Accepted Answer

The pattern in the sequence is an addition of 11, 17, 27 to each preceding number, which are consecutive prime numbers (11, 17, 27). The next prime number after 27 is 37, so adding 37 to the last number (74) gives 111, which is not an option. However, the correct pattern seems to be doubling the difference between consecutive speeds (11 to 17 is +6, 17 to 27 is +10 which is not exactly doubling). The correct approach is looking at the differences: 30-19=11, 47-30=17, 74-47=27. These differences themselves increase by 6, then 10. If we continue this pattern, the next increase should be 16 (6, 10, 16), making the next difference 27+16=43. Adding 43 to the last speed (74) gives 117, which is not listed. The mistake in the explanation is in the pattern recognition and calculation. The correct pattern involves recognizing the sequence or finding the correct arithmetic or geometric progression, which was incorrectly identified. Given the options and the mistake in the initial explanation, the correct answer based on the provided options and re-evaluating the sequence would be to look for a logical progression or a mistake in the calculation. Since none of the provided calculations accurately lead to the options given and without a clear, correct pattern based on the initial explanation, the answer would be based on the corrected understanding of the sequence or an acknowledgment of an error in the initial pattern analysis.

In a Lathe Gear Box If First Four Consecutive Speed