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Practice No. System Questions and Answers

Find the smallest integer that must be subtracted from 653, so that it is divisible by both 23 and 27.
What is the number of divisors of 360?
What is the place value of 3 in 3678921410. 1. 3 ×104 2. 3 ×107 3. 3 ×105 4. 3 ×109
15% of a number is 1.2. Find that number.
If (3/4)th of a number is subtracted from (5/6)th of that number, then the resultant will be (2/6). Find the number.
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...
One-seventh of a 2-digit number is 10 less than half of the number. What is the sum of the digits of the 2-digit number?
Determine the following number which is divisible by 3?
If y = ∛ 6 – 4, then what is the value of y³ + 12y² + 48y + 100?
240 students need to be arranged to sit in 12 rows. If the number of rows increases by 25%, then find the number of students who will now be sitting in eac...
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. ...

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