Number System, Problems on Number

Find the least number of six digits which is exactly divisible by 15, 21 and 28.

The difference between the local value and the face value of 7 in the numeral 32675149 is -

An iron rod that weights 24 kg is cut into pieces so that one of these pieces weighs 16 kg and is 34m long. If the weight of each piece is proportional to its length, how long is the other piece?

The ratio of two numbers is 2 : 3. The sum of the numbers is 100. The difference between the two numbers is:

{2√(27) - √(75) +√(12)} is equal to-

If p and q are positive integers with qp = 36, then p/q cannot be ____

A jar contains a mixture of oil and water in the ratio 22: 3. 50 liters of the mixture was taken out and 25 liters of water was added to it. If water was 34% in the resultant mixture, what was the initial quantity of the mixture (in liters) in the jar?

If the average of two numbers is M and the larger number is L, what is the other number?

The product of two positive numbers is p. If each of the number is increased by 2, the new product is how much greater than twice the sum of the two original number?

Which of the following integers has the most divisors?

In a T-20 cricket match, the number of boundaries scored was twice the number of over boundaries by a team. The team took 22 single runs, no two or three runs and could not score from 38 deliveries. How many runs did the team score?

If A³ is odd, which of the following is true?

If 9 is 3/4 of n, what number is 5/6 of n?

A fraction become 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added to its denominator. The fraction obtained is-

A two-digit number has 3 in its unit digit. The sum of its digits is one seventh of the number itself. What is the number?

Dean of a business school distributed Tk. 100000 scholarships among 36 students giving 3000 to each male student and Tk. 2500 tk each female student. How many female students received scholarships?

If þ is defined for all positive real numbers a and b by aþb = ab/(a+b), then 10þ2 = ?

A number consist of two digits, the sum of the digits is 10. If 72 is subtracted from the number, the digits are interchanged. Find the number.

A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number?

40 is subtracted from 60% of a number, the result is 50. Find the number?