Practice No. System Questions and Answers

• Set A contains five consecutive multiples of 4 and Set B contains 4 consecutive odd numbers. The sum of highest values of Set A and B is 53. Smallest value...
• In a two-digit positive number, the digit in the tens place is one less than the square of the digit in the units place. Additionally, the difference betwe...
• How many two-digit even numbers can be formed using the digits 3, 4, 5, 7, and 8, ensuring that no digit is repeated?
• Determine the smallest four-digit number that is evenly divisible by 12, 22, and 42.
• The following dataset represents the examination scores achieved by 10 students: 36, 91, 80, 77, 64, 80, 45, 56, 41, 96 Find the median of the marks receiv...
• A school is organizing a trip and needs transportation for 180 students. Each bus can carry 45 students. If the school rents 4 buses and 2 vans, with each ...
• How many numbers between 150 and 600 are divisible by both 5 and 7?
• How many whole numbers between 100 and 750 are multiples of both 18 and 24?
• How many integer pairs (x, y) satisfy the inequality x2 + 4y2 < 100?
• Given below are two statements Statement I : The given set of numbers (5,6,7,p,6,7,8,q) has an arithmetic mean of 6, and its mode (the number occurring...
• Four consecutive two-digit odd numbers add up to a total that, when divided by 10, results in a perfect square. Which of the following options could be one...
• Aman is forming pairs of two natural numbers, A and B, such that their product equals 350. He wants to determine how many such pairs exist where A and B ar...
• Determine the unit digit of the product: 785×6194×319×1296
• Determine the number of trailing zeros in the product of the following numbers: 11 × 22 × 33 × … × 2222...
• Determine the value of 'a' such that the number 102a32 is divisible by 48.
• Aman is forming pairs of two natural numbers, A and B, such that their product equals 350. He wants to determine how many such pairs exist where A and B ar...
• If the sum of x , y , and z is 9, and the sum of their squares is 18, then determine the value of the expression xy + yz + zx .
• How many numbers between 340 and 1260 are divisible by both 18 and 24, but are not divisible by 5?
• What is the remainder when 7³⁵ is divided by 5?
• What is the largest three-digit number that leaves a remainder of 5 when divided by both 11 and 13? Call this number a. Additionally, what is the smallest ...
• 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...