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A 3x3x3 cube is placed on top of a 5x5x5 cube, which is placed on a table. On top of the 3x3x3 cube is placed a unit cube such that the axes of all three cubes coincide. All the visible faces are now painted red. What is the number of unit cubes that have exactly 2 faces painted?

remainder, when 16! is divided by 17?

I have been scoring 75 to 85% in VA Can u please recommend to achieve at least 95% ..

what is the eligibility criteria for IBPS?

What is the remainder when 3^21 + 9^21 + 27^21 + 81^21 is divided by 3^20+1 ?

The volumes of two vessels, which are filled up to the brim by milk of different prices, are 220 L and 180 L. An equal amount of milk is taken out from each of the two vessels, and the milk taken out from the first vessel is poured into the second vessel while the milk taken out from the second vessel is poured into the first vessel. If the price per liter of milk in both the vessels becomes the same eventually, find the volume of milk taken out from each of the two vessels.

Venn diagrams

what is cauchy schwarz inequality?? explain with example..

Can u give me the proper routine I should follow for next one month

i have a problem in lengthy rcs because after reading we get a gist of a every paragraph but while going through questions sometimes questions from anywhere from the passage and in this case we have to going through para again which require a lot of time,but if we have 600-700 words para i am comfortable with any type of questions because of remember where these lines are given, so how to tackle these problems in lenghty rcs..??