Practice No. System Questions and Answers

• Find the number of zeros in 58!.
• Find the unit digit of 351.
• When a number ‘N’ is divided by 40, the quotient is 70% more than the divisor and the remainder is 90% of the divisor. Find the value of ‘N’....
• 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 squares of two positive numbers is 185 while the product of these two numbers is 88. What is the square of the sum 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...
• Find the number of zeros at the end of the following expression: 12 × 16 × 25 × 40 × 45
• Find the last digit of (12123 – 1).
• What is the largest three-digit number that, when divided by both 13 and 17, leaves a remainder of 12 in each case?
• What is the smallest number that needs to be added to 978 to make it a multiple of 37?
• How much greater than 30 is the result when twice the sum of the first five prime numbers is subtracted from the largest two-digit prime number?
• 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+...
• Calculate the unit digit of 7882.
• 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?
• If the square root of 1024 is added to 30% of a number we get 4 less than 2/5th of the number. What is 3/8th of the number? ...
• What is the standard deviation of a dataset if its variance is 17.64?
• Determine the unit digit of (23334 x 17724).
• Determine the highest power of 2 present in the given expression: ...
• Find the largest number that, when dividing 259, 323, and 640, leaves remainders of 4, 8, and 10, respectively.
• Find the remainder when '323323323' is divided by 17.
• 'x' varies directly as per 'y' and 'z'. When 'y' = 6 and 'z' = 8, then x = 16. Find the value of 'z', when 'y' = 8 and x = 24.
• 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 ...
• A has 10 chocolates, and B has 8 chocolates. C wants to buy some chocolates from them, so they decide to share all the chocolates equally among the three. ...
• A test consists of 20 questions, where each question is worth either 3 marks or 5 marks. The total marks for the entire test add up to 70. How many questio...
• Mohit purchased some toffees at a rate of Rs 20 for every 50 toffees. Additionally, he bought twice as many toffees at a price of Rs 1.50 per piece. He the...
• The sum of two distinct positive natural numbers is 246, and their difference is 34. Calculate 10% of the product of these two numbers.
• 28% of a certain number is added to 82% of the same number, resulting in 125% of 484. If 150 is subtracted from this number, what is 35% of the resulting v...
• Every day, 140 adults visit a park solely for walking. Additionally, 18% of the adults come exclusively to accompany their children, while 54% visit only f...
• Akhilesh has a collection of toys, and he tries arranging them in different group sizes. Whenever he groups them in pairs (2s), triplets (3s), sets of four...