Practice No. System Questions and Answers

• The scores of KL Rahul in a T20 series were 78, 34, 56, 90, and 45. While the scores of Rishabh Pant in the same series were 22, 87, 43, 100, and 60, respe...
• Determine the following number which is divisible by 3?
• Find the mean proportion of 2.56 and 0.0324.
• What is the fourth proportional of √20, √30, and √18?
• Find the number of even numbers between 12 and 30.
• if the sum of two numbers is 360, and one of the numbers is 50% more than the other number, find the larger number.
• Find the fourth proportional of 12, 24, and 30.
• Which number must be multiplied with 2352 to transform it into a perfect square?
• Which of the following numbers is divisible by 11?
• If a number 'x' is increased by 30% and then decreased by 20%, the resultant obtained is 416, then find the value of 'x'.
• What is the largest three-digit number that, when divided by 11 or 19, leaves a remainder of 4?
• What is the smallest four-digit number that can be evenly divided by 20, 24, and 36?
• Consider three numbers whose total is 294. The first and second numbers are in a ratio of 5:7, and the second and third numbers are in a ratio of 7:9. Dete...
• How many integers are there between 50 and 600 that are divisible by both 15 and 25?
• For which range of 'p' does the expression 19p - 2p²- 35 have a positive value??
• The mean of three distinct numbers is 30. If the third number is to the combined total of the first two numbers in the ratio 16:29, what is the sum of the ...
• What is the largest three-digit number that, when divided by either 13 or 17, results in a remainder of 2?
• In an examination, five students—A, B, C, D, and E—participated. The overall average score for these students was 58. Specifically, students A, C, and ...
• How many whole numbers between 100 and 750 are multiples of both 18 and 24?
• Identify the number that, when subtracted by its square root, results in a difference of 42.
• In a particular examination, Cheenu achieved 48% of the total marks and fell short by 72 marks to pass. On the other hand, Meenu obtained 68% of the total ...
• Determine the 6052nd term in the series 5,5,7,7,7,7,9,9,9,9,9,9,11,….
• The average marks scored by boys and girls in a class are 48 and 32, respectively. The total marks obtained by the entire class is 1680, with 40 students i...
• In a certain pond, there are 60 more crabs than fish. Unfortunately, 20% of the crabs have perished. Additionally, the pond has welcomed 80 new fish. As a ...
• When a number is reduced by 25%, the resulting value is 36 more than 60% of the number's initial value. What is the original number?
• The mean of 12 numbers is 15. When two additional numbers, x and y , are included, the average increases by 1. Given that the difference between x and y is...
• In an examination, Ajay earned 28% of the total marks, falling short of the passing mark by 42 marks. On the other hand, Vijay achieved 41% of the total ma...
• A school organizes a picnic for students. The cost of transportation is ₹8,000, and the food cost is ₹5,000. If there are 50 students attending the pic...
• A car rental company offers two types of packages: Package X and Package Y. Package X charges a base fee of ₹300 per day plus ₹10 per kilometer. Packag...
• If p + q = 7 and p2 + q2 = 19, then find the value of  pq/2.
• Consider the number 4A87B, where it is divisible by 6. Determine the highest possible value for 'A' when 'B' is at its maximum allowable value.
• Two friends, P and Q, each have the same amount saved. Q manages to save one-fourth of his income, while P saves one-third of his. Given that P spends Rs. ...
• Consider a three-digit number where the middle digit (tens place) is 3. If the digits in the hundreds and ones places are swapped, the new number becomes 1...
• Consider a set of 11 distinct positive integers whose average is 20. If the average of the initial six integers in this set is 14, and the average of the f...
• If p and q are real numbers such that p2 + (p - 2q - 1)2 = - 4q(p + q), then the value p - 2q is
• Suppose, (√(5a+9) )+ (√(5a-9)) = 3(2+√2), then √(10a+9) will be equal to?
• Consider two natural numbers, 'a' and 'b', which are in the ratio of 17:20. If we increase 'a' by 18 and decrease 'b' by 20, the new ratio of 'a' to 'b' be...
• Determine how many distinct divisors the number 520 has.
• If the mean of four successive even numbers is 11, what is the second largest number in this sequence?
• In a village with a population of 1200, comprising both males and females, the ratio of males to females is 7:5. Each male receives 20 kg of rice, while ea...