Prime numbers - practice problems
Number of problems found: 511
- The sum 53
The sum ofthree numbers of a GP series is 35 and their product is 1000. Find the numbers. - A person 3
A person distributes his pens among four friends A, B, C and D in the ratio 1/3 : 1/4 : 1/5 : 1/6. What is the minimum number of pens that the person should have? - Beeps
An electronic device makes a beep after every 60 sec. Another device makes a beep after every 62 sec. They beeped together at 10 a.m. The next time, when they will beep together at the earliest? - Division with a remainder
Find the least number which when divided by 8, 12, and 20 leaves a remainder of 5 in each case. - The product 18
The product of two consecutive natural numbers which are multiples of 3 is equal to 810. Find the two numbers. - The sum 50
The sum of five consecutive integers is 385. Which one of these five integers is prime? - LCM and HCF 3 LCM of two integers is 1237. What is their HCF?
- The number 88 Write the number 88 as a product of prime factors.
- Divisor of two numbers Find the (greatest common) divisor of 18 and 45.
- The difference 9 The difference of two numbers is 20 and their product is 56.25 times their difference. Find the LCM of the numbers.
- Joseph 2
Joseph visits the club on every fifth day, Harry visits on every 24th day, and Susan visits on every ninth day. If all three of them met at the club on a Sunday, then on which day will they meet again? - The HCF
The HCF of two numbers is 18 and their product is 12960. Their LCM will be - Multiple and remainder What is the least multiple of 7, which, when divided by each one of 6,9,15,18, gives the remainder of 4 in each case?
- Known hcf and find lcm Given that HCF (306, 657) = 9, find LCM (306, 657).
- Sport field
There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Roland takes 12 minutes for the same. Suppose they both start at the same point and at the same time and go in the same direction. After how many
- Tailors
Find the largest number of tailors who can share either 48m or 12m of fabric equally without a reminder? - Factorial divisible by 75 Find the least positive integer n such that n! is divisible by 75.
- The size 3
The size of a wooden block is 15cm × 12cm × 20cm. How many such blocks will be required to construct a solid wooden cube of minimum size? - Three athletes
A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point - Divisors 7 If 540=2²×3³×5, what is the number of all factors of 540?
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