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a person covers half his journey by train at 60 kmph, the remainder half by bus at 30 kmph and the rest by cycle at 10 kmph. find his average speed during the entire journey. ?

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https://cracku.in/cat/history/1785597?src=test Does formula correctly used?

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Amongst 100 people who were surveyed 90like Amitabha,77 like Abhishek,75 Likes Hrithik and 70 like Shahrukh.
a)Minimum number of people who like all 4.
b)Maximum number of people who like all 4.
Pls explain using minimum overlapping line method

Mr. Lal sells only chemical Y .During the day he seels (1/11)th of the totatl quantity of the chemical with him in the morning. He observes that the total quantity of the chemical with him in the morning is 10% less than the quantity of chemical with him on the previous night. This is because the chemical Y evaporates during the course of night. Everyday he increases the selling price of the chemical by 10% with respect to the selling price of the chemical on the previous day. The cost price of the chemical is Rs 8/litre whereas on the first day he sells the chemical at Rs 10/litre

Q) If the total quantity of the chemical with him on the morning of the first day is 11000 litres, then what is the total profit made by him after he has completely sold all the chemical with him ?

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reasoning solution

Not able to understand the explanation of following question.

Q

An arithmetic progression of n ( n > 25 ) terms has only integers in it. The average of the first four terms is 14 and the average of the last four terms is 52. What is the common difference?

A

1

B

2

C

18

D

19

Explanation

Let the first term be a and common difference be d. The average of the first four terms is a+1.5d = 14. The average of the last 4 terms is a+(n-2.5)d = 52. Subtracting, we get, (n-4)d = 38. Since n>25, the only possibility is n-4 = 38 and d = 1.

Statements: Some ducks are cheetahs Some cheetahs are penguins Some penguins are drones. Conclusions: 1) Some drones are ducks 2)Some drones are cheetahs 3)No drone is a cheetah