MAT (Stage-2) M...

A, B, C and D play a game of cards. A says to B, "If I give you 8 cards, you will have as many cards as C has and I shall have 3 cards less than C has. Also, if I take 6 cards from C, I shall have twice as many cards as D has." If B and D together have 50 cards, then how many cards does C have?

Among the passed students of a class, Amisha is twenty-second from the top and Sajal, who is 5 ranks below Amisha, is thirty-fourth from the bottom. The ratio of the students who passed the exam to those who failed is 4 : 1. How many students are there in the class?

A man has a certain number of small boxes to pack into parcels. If he packs 3, 4, 5 or 6 boxes in a parcel, then one box is left over. If he packs 7 boxes in a parcel, then none is left over. What is the minimum number of boxes that he may have to pack?

An institute organised a fest, in which 1/5 of the girls and 1/8 of the boys participated. What fraction of the total number of students took part in the fest?

A container of yogurt provides 6 grams of protein, which is 12% of the recommended protein intake per day. How much protein is recommended per day?

A student has to get 40% of the total marks in order to pass an examination. Shivani secured 220 marks and failed by 20 marks. Calculate the total marks.

If a man sells a shirt at Rs. 400, he will incur a loss of Rs. 75. At what price should he sell the shirt to make a profit of Rs. 50?