Practice No. System Questions and Answers

• Two numbers add up to 18, and the sum of their reciprocals is 5/2. Calculate the square of the product of the two numbers.
• In an examination, two students participated, where one student scored 15 marks higher than the other. If the higher-scoring student's marks constitute 52%...
• A boy initially has 350 candies. He shares 'c%' of his candies with his friends. Later, his mother gives him 'c' additional candies. Calculate the total nu...
• The sum of three consecutive even numbers is 84. Find the middle number.
• A two-digit natural number has the property that the digit in the tens place is the square of the digit in the units place. When the original number is add...
• A sum of ₹25,740 is divided among A, B, and C in such a way that A gets 50% more than B, and B gets 25% more than C. Find the share of C.
• A bag contains coins of ₹1, ₹2, and ₹5 denominations in the ratio 5:2:3, respectively. If the total value of the coins is ₹1,224, how many ₹5 coi...
• There are 8 classrooms, each with an average of 16 students. No classroom has the same number of students, and all classrooms, except the 8th one, have few...
• The heights of two friends, A and B, are in the ratio 6:11. Similarly, the heights of B and C are in the ratio 4:3. Additionally, it is given that the heig...
• The number of females in a company is 20% fewer than the number of males. After 10 males and 16 females join the company, the number of males becomes half ...
• Which of the following numbers is divisible by 33?
• The remainder when a number 'N' is divided by 4 is 3. What will be the remainder when 'N + 9' is divided by 4?
• I. f (1) = -1 II. f (1/2) = -7 III. f( 0) = 2...
• Determine the sum of all three-digit numbers which are divisible by 8 and the sum of their digits is divisible by '3'.
• Three natural numbers X,Y,Z are pairwise co-prime and satisfy the following conditions, the least common multiple (LCM) of X and Y is 391, the LCM of Y and...
• If {p2 + (2p2/5)} = 14p , p ≠ 0, then find the value of {p2 + (10/p) - 1}.
• If three positive numbers are in the ratio 4:6:5 and the sum of their squares equals 1925, determine the smallest of these three numbers....
• If 'p' is subtracted from 18, 24, 16, and 12, the resulting numbers will be in proportion. Find the value of 'p'.
• The product of two positive numbers is 432. If one number is three times the other, find the difference between the two numbers.
• The first number is four times 60% of the second number. If the second number is increased by 5, the first number becomes twice the new value of the second...
• If the numerator of a fraction is increased by 20%, and denominator is decreased by 25%, then the fraction becomes 14/9. Find the original fraction.
• If 'A' = (62 - 5)2 - 40 × 24 + 19, then find the value of (0.15A) 4.
• Which of the provided numbers will always divide (1633x -  2523x)?
• What should come in place of question mark (?) in the following questions? Find the exact value. ...
• 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...