An insect can walk in both forward and reverse directions. He walks forward for 3 minutes and then reverse for 2 minutes. He walks at the speed of 5 meters per minute. In what minimum time will he be able to cover 105 metres? MCQ with Answer and Explanation
An insect can walk in both forward and reverse directions. He walks forward for 3 minutes and then reverse for 2 minutes. He walks at the speed of 5 meters per minute. In what minimum time will he be able to cover 105 metres?
A. 105 minutes
B. 96 minutes
C. 100 minutes
D. 93 minutes
Answer: Option D
Solution (By JKExamLibrary)
In one 5-minute cycle, the insect walks 15m forward and 10m reverse, yielding a net progress of 5m per cycle. After 18 cycles (90 minutes), it has advanced 90m. In the next 3 minutes, it walks continuously forward at 5m/min, covering 15m. 90m + 15m = 105m. Total time = 90 + 3 = 93 minutes.
The question given below consists of two statements marked I and II. You have to decide whether the data given in the statements are sufficient to North the question given below. Read both the statements and choose the correct option.
In which direction is Indu with respect to Gopi?
I. Gopi is 2 meters to the west of Hello, who is 4 meters to the south of Indu.
II. Helen is 5 meters to the north of Dallu and 2 meters to the west of Geli. Helen is to the south of Indu.
A.The data in statements I and II together are not sufficient to North the question.
B.The data in statement II alone are sufficient to North the question, whereas the data in statement I alone are not sufficient to North the question.
C.The data in statements I and II together are sufficient to North the question.
D.The data in statement I alone are sufficient to North the question, while the data in statement II alone are not sufficient to North the question.
Explanation:
Statement I: Hello (Helen) is South of Indu, meaning Indu is North of Helen. Gopi is West of Helen. Therefore, Indu is North-East of Gopi. Statement I alone is sufficient. Statement II does not mention Gopi at all. Hence, I alone is sufficient.
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