Practice No. System Questions and Answers

• 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 ...
• 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...
• The Indian cricket team scored 188 runs in their 20-over match against Australia. By the end of the 13th over, Australia has scored 107 runs. What is the r...
• Tanu has 5 stickers, and Megha has 4 stickers. When Kasish joins them, all 9 stickers are redistributed equally among the three, meaning each person receiv...
• Four friends A, B, C and D together have 240 pens. The number of pens with A is 1/4th the total number of pens with other three. Pens with B are 1/3rd of t...
• A told B, "If you give me half of the money that you have, then I will have Rs 110 and if I give you half of my money then you will have Rs 100." How much ...
• The total of six consecutive even numbers in Set A is 402. In Set B, the smallest number is 15 less than twice the smallest number in Set A. What is the su...
• Tanvi has 5 pencils, and Mahima has 4 pencils. When Khurram joins them, all 9 pencils are redistributed equally among the three, meaning each person gets a...
• S1 is a series of 5 consecutive multiples of 3 and S2 is a series of 4 consecutive multiples of 8. If the ratio of 3rd to 2nd terms in S1 is 6:5 and in S2 ...
• There are two numbers A and B such that when 24 times of B is added to 192, then result is equal to 336, and sum of A and B is 28, then what is the differe...
• Mr. Sharma distributed a total of Rs. 11,250 among his three employees—Ram, Saran, and Ramen—based on their performance. The distribution was such that...