Number System, Problems on Number

The daily rate for a hotel room that sleeps 4 people is Tk. 390 for one person and X taka for each additional person. If 3 people take the room for one day and each pays Tk 210 for the room, then what is the value of X?

The difference between the two numbers is 11 and one-fifth of their sum is 9. Find the numbers.

7 is added to a certain number; the sum is multiplied by 5, the product is divided by 9 and 3 is subtracted from the quotient. The remainder left is 12. The number is:

If p and q are positive integers and the difference between pq and qp is three times the sum of p and q, then how many pairs of p and q are possible?

Shama earns Tk. 11 for each ticket she sells, and a bonus of Tk. 2 Per ticket she sells over 100. If Shama was paid a total of Tk. 2400, how many ticket did she sell?

Half of the people on a bus get off at each stop after the first and no one gets on after the first stop. If only 4 person gets off at stop number 4, how many people got on at the first stop?

A number when divided by 3 leaves a remainder 1. When the quotient is divided by 2, it leaves a remainder 1. What will be the remainder when the number is divided by 6?

Of three consecutive even numbers, the sum of the 1st and 2nd is 166. The sum of the 2nd and 3rd is 170 and the sum of the 3rd and twice of 1st is 250. The second number is -

The sum of 3 consecutive odd numbers is 57. The middle one is

The difference of two numbers is 20% of the large number. If the smaller number is 20 then the larger number is-

The square root of (7 + 3√5)(7 - 3√5) is:

The city library donated some books to a class. If each student takes 4 books, there will be 20 books left. If 3 students do not take a book and the rest of the students take 5 books each, there will be no books left. How many books were donated to the class?

The greatest number that exactly divides 105, 1001 and 2436 is -

a is greater than b by 2 and b is greater than c by 10. If a + b + c = 130, then (b + c) - a =?

The sum of two integers is 48 and product (multiplicative result) is 432. What is the smaller number?

The average of 2, 7, 6 and x is 5 and the average of 18, 1, 6, x and y is 10. What is the value of y?

√(.01+√0.0064)=?

Sum of three consecutive multiples of 3 is 396. Find the largest number.

A student was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and p. He found the mean to be 12. What should be the number in place of p?

A cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and thereby decreases his average by 0.4. The number of wickets taken by him till the last match was -