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Question

Three positive numbers p, q and r are in AP such that p*q*r = 64. Find the minimum value of q.

A

2(1/3)

B

2(2/3)

C

22

D

2(4/3)

Question

Let f(k) be the sum of the cubes of all natural numbers less than or equal to k. How many natural numbers k exist such that f(k) is a perfect power of 3?

A

0

B

1

C

2

D

3

how to prepare for it?

In the question "Little wooden cubes each with a side of one inch are put together to form a solid cube with a side of three inches. This big cube is then painted red all over on the outside. When the big cube is broken up into the original little ones, how any cubes will have paint on two sides?" the solution given is "To make a cube of side of 3 inch, total 27 cubes will be needed of 1 inch And cubes having 2 side painted will be 2nd cube of 1st and 3rd row of every surface. So total will be 8 small cubes having 2 side painted." but if we consider the bigger cube into 3 layers, then in the top and bottom layer will have 4 cubes with 2 sides colored each so this makes 8 cubes and in the middle layer he cubes at corner i.e. 4 small cubes will also get colored on two sides. Then the solution must be 12 but 8 is given as solution. Please clarify me on this doubt. i need a clear explanation for this question

Find the minimum length of the string to be wound around a cylinder of length 48 cm and circumference 16 cm such that the string takes 4 turns and its two ends touch the end and bottom of the cylinder?

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. ?

How do I improve my Reading Comprehension accuracy?

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

how to score in general awerness

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