List of top Quantitative Ability and Data Interpretation Questions on permutations and combinations

A local restaurant has 16 vegetarian items and 9 non-vegetarian items in their menu. Some items contain gluten, while the rest are gluten-free.
One evening, Rohit and his friends went to the restaurant. They planned to choose two different vegetarian items and three different non-vegetarian items from the entire menu. Later, Bela and her friends also went to the same restaurant: they planned to choose two different vegetarian items and one non-vegetarian item only from the gluten-free options. The number of item combinations that Rohit and his friends could choose from, given their plan, was 12 times the number of item combinations that Bela and her friends could choose from, given their plan.
How many menu items contain gluten?

The letters of the word MINUTE are arranged so that the vowels occupy only odd positions.

How many words each of two vowels and three consonants can be formed from the letters of the word "UNIVERSAL" ?

Ram is taller than Shyam and Jay is shorter than Vikram. Who is the shortest among them?
(I) Ram is the tallest.
(II) Shyam is taller than Vikram.

How many litres of a 30% alcohol solution should be added to 40 litres of a 60% alcohol solution to prepare a 50% solution?

There are 10 stations on a railway line. The number of different journey tickets that are required by the authorities is

In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together?

A five-digit number divisible by 3 is to be formed using numerical 0, 1, 2, 3, 4 and 5 without repetition. The total number of ways this can be done is:

There are 10 stations on a railway line. The number of different journey tickets that are required by the authorities is

A number lock consists of 3 rings each marked with 10 different numbers. In how many cases the lock cannot be opened?

In a row at a bus stop, A is 7th from the left and B is 9th from the right. They both interchange their positions. A becomes 11th from the left. How many people are there in the row?