Number System, Problems on Number

Which is the larger between two numbers if they are in the ratio of 6 : 13 and their least common multiple is 312?

A worker earns Tk. 250 on the first day and spends Tk. 200 on the second day, earns Tk. 250 on the third day and again spends Tk. 200 on the fourth day and so on. On which day would he have had Tk. 1000?

When the price of each book goes up by Tk. 5, the librarian purchases 20 books less than the required number for Tk. 1200. The original price of the book was

What is the value of a, if 3x² + ax + a + 3 divisible by x + 2?

The difference between two numbers is 5 and the difference between their square is 65. What is the smaller number?

The sum of two numbers is 184. If one-third of the one exceeds one-seventh of the other by 8, find the smaller number.

A student is ranked 13th from right and 8th left. How many students are there in total?

What is the square root of 0.16?

The average of two numbers is 62. If 2 is added to the smaller number, the ratio between the numbers becomes 1 : 2. What is the smaller number?

=?

How many positive integers less than ten thousand are multiples of both eight and eighteen?

If the number 5 ⋆ 2 is divisible by 6, then ⋆ = ?

How many "7" will you pass on the way when you count from 1 to 100?

Evaluate √(41 - √(21 + √(19 - √(9))))

The largest prime factor of (2⁴)² − 1 is -

The difference between two numbers is 5 and the difference between their squares 65. What is the larger number?

A farmer had 17 cows. All but 9 died. How many were left alive?

In an essay competition, a winner gets a prize of Tk 100 and a participant who does not win gets a prize of Tk 25. The total prize money distributed is Tk 3,000. Find the number of winners, if the total number of participants is 63.

A 3 digit number 4a3 is added to another 3 digit number 984 to give a 4 digit number 13b7, which is divisible by 11. Then a + b = ?

(? - 968) ÷ 79 × 4 = 512