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Practice No. System Questions and Answers

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...
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?

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