Practice No. System Questions and Answers

• Find the number of zeros at the end of 78!.
• If '502x62y' is a seven-digit number which is divisible by 72, then find the least possible value of (x - y).
• Let x = (726)245 – (437)458 + (333)335. What is the unit digit of x?
• On dividing (5757 + 57) by 58, the remainder obtained is ‘R’. Find the value of (R – 5).
• There are 120 candies, 120 chocolates, and 200 sweets to be distributed among groups A, B, and C, where each student in group A receives 5 candies, each st...
• Find the unit digit of (62375 - 7).
• There are two natural numbers such that the square of the smaller number exceeds five times the larger number by 4. Additionally, the sum of these two numb...
• Three numbers are in the ratio 5:9:12. The sum of the largest and smallest of these numbers is 8500. What is the difference between the largest and smalles...
• Find the unit digit of (62375 - 7)
• Aman and Rohan start running simultaneously on a circular track in opposite directions. Aman runs at a speed of 12 km/h while Rohan runs at 18 km/h. After ...
• A sum of ₹53,000 is divided among A, B, and C such that A gets 20% more than B, and B gets 25% less than C. What is the amount received by C?
• A shepherd owns two types of cattle: cows and sheep. After selling 40% of his cattle, he is left with a total of 90 cows and sheep. How many cattle did the...
• The average of 9 consecutive integers is 23. What is the sum of the smallest three integers?
• How many integers between 100 and 750 are divisible by both 18 and 24?
• A two-digit number is such that the sum of its digits is 10. If 36 is added to the number, the digits interchange their places. Find the number.
• The population of a town grows by 25% in the first year, declines by 20% in the second year, and rises by 30% in the third year. What is the total percenta...
• If the 6-digit number '5a1897' is divisible by '11', determine the value of 'a'.
• What is the total count of numbers between 165 and 2485 that are divisible by both 25 and 35?
• Find the largest 5-digit number that is divisible by 18, 24, and 36.
• A two-digit number is such that the sum of its digits is 12. If the number formed by reversing its digits is 18 less than the original number, find the ori...
• Find the smallest number that when divided by 6, 8, and 15 leaves a remainder of 5 in each case.
• Find the unit digit of 351.
• If the sum of two positive numbers is 37 and the difference between these two numbers is 5, then what is the product of the two numbers?
• The sum of two numbers is 30 while the difference between these two numbers is 6. What is 50% of the product of the two numbers?
• 25% of a number exceeds 1/6th of the same number by 7. What is the number?
• The difference between the squares of two positive numbers is 18 times the difference between the numbers. If the smaller number is 7, then what is the gre...
• A certain number represents 31.25% of another number. When 150 is added to the smaller number, it becomes 50% of the larger number. Determine the value of ...
• Let x represent the largest number that can divide the numbers 603, 1698, and 1041, leaving the same remainder in each case. Calculate the value of 2x−r+...
• The sum of the digits of a two-digit number is 12, and the tens digit is twice the units digit. Determine the HCF of this number and the number formed by r...
• Determine the sum of the first 16 odd numbers.
• The sum of any seven consecutive natural numbers is always divisible by which of the following numbers?
• Determine the total no of odd factors of the number 4200.
• Find the smallest 4 digit number that is completely divisible by both 24 and 44.
• What number should be deducted from 699 so that the resulting value, when divided by 7, 9, and 11, gives a remainder of 3 in each case?
• Determine the unit digit of (23334 x 17724).
• Determine the highest power of 2 present in the given expression: ...
• What is the remainder when the expression 289n+147 is divided by 17?
• Determine the smallest possible value of 'P' that makes the eight-digit number '4423P456' fully divisible by 3.
• The difference between two numbers is 6, and their product is 5. What is the sum of the squares of these two numbers?
• The sum of the squares of three natural numbers is 342. These numbers are in the ratio of 3:5:2. Determine the difference between the largest and smallest ...