Quantitative Ap...

How many terms are there in the expansion (x + x² + x³ + x⁴)¹⁶?

How many ways the word 'EQUATION' can be arranged so that all the vowels will always come together?

Two people travelling from A to B and B to A start at the same time. After they cross each other, the first one takes 12 hours and the second one takes 27 hours to reach B and A respectively. What is the time taken by them to cross each other?

If 1/a + 1/b + 1/c = 0 and a + b + c = 9, find the value of a³ + b³ + c³ - 3abc?

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Abeer has 14 novels. Abeer’s friend Sanjay takes 3 of them and gives 2 novels to Abeer. Abeer donates 7 novels but buys 4. Joy takes 4 novels from Abeer and gives him 5. Abeer takes one novel from Sanjay and gives it to Joy in exchange for 3 more. Abeer gives those 3 novels to Sanjay and he gives Abeer a novel and a magazine. Rahul takes the magazine which Sanjay gave to Abeer and gives Abeer a textbook. Abeer gives the textbook to Joy in exchange for a novel. Rahul takes the novel from Sanjay, gives it to Joy for a magazine and gives Abeer the magazine for a novel. How many textbooks does Abeer have?

Find the range of real values of x satisfying the following inequality:

A ball dropped from a height bounces back 90% of its previous height and continues its motion. If the ball travelled a distance of 190m before comes to rest, from what height the ball is dropped?

30 buckets of lime are used to form a conical heap. Each bucket has a radius of 14 cm and a height of 15 cm. If the base area of the conical heap is 5544 cm², the area (in  cm2) of canvas required to cover it is

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How many 4-digit numbers, each greater than 1000 and each having all four digits distinct, are there with 7 coming before 3?