How many five-digit positive integers comprising only the digits 1, 2, 3, and 4, each appearing at least once, exist such that the number is divisible by 4?

In the first 1000 natural numbers, how many integers exist such that they leave a remainder 4 when divided by 7, and a remainder 9 when divided by 11?

A fair coin is tossed 'n' times. If the number of outcomes in which two heads will appear is 28, what is the value of 'n'?

A, B, and C each working alone can complete a job in 6, 8, and 12 days respectively. If all three of them work together to complete a job and earn $2340, what will be C's share of the earnings?

A wheel of a car of radius 21 cms is rotating at 600 RPM. What is the speed of the car in km/hr?

Ram, who is half as efficient as Krish, will take 24 days to complete a task if he worked alone. If Ram and Krish worked together, how long will they take to complete the task?

A man can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target?

Positive integers from 1 to 45, inclusive are placed in 5 groups of 9 each. What is the highest possible average of the medians of these 5 groups ?

Data Sufficiency: Set A contains distinct integers: A = {2, 4, 6, -8, x, y}. When two numbers from this set are selected and multiplied, what is the probability that the product is less than zero?

If the cost price of 20 articles is equal to the selling price of 25 articles, what is the % profit or % loss made by the merchant?

How many different positive integers exist between 106 and 107, the sum of whose digits is equal to 2?

The arithmetic mean of the 5 consecutive integers starting with 's' is 'a'. What is the arithmetic mean of 9 consecutive integers that start with s + 2 ?

In what ratio should a 20% methyl alcohol solution be mixed with a 50% methyl alcohol solution so that the resultant solution has 40% methyl alcohol in it?

What is the % change in the area of a rectangle when its length increases by 10% and its width decreases by 10%?

What is the probability that the position in which the consonants appear remain unchanged when the letters of the word "Math" are re-arranged?

If the price of gasoline increases by 25% and Ron intends to spend only 15% more on gasoline, by how much % should he reduce the quantity of gasoline that he buys?

How many trailing zeros will be there after the rightmost non-zero digit in the value of 25!?

How many keystrokes are needed to type numbers from 1 to 1000?

By selling an article at 80% of its marked price, a merchant makes a loss of 12%. What % profit will the merchant make if the article is sold at 95% of its marked price?

The average of 5 numbers is 6. The average of 3 of them is 8. What is the average of the remaining two numbers ?