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Practice No. System Questions and Answers

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...
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 ...
The square of 12 is subtracted from 25 times a whole number, and the result is equal to the square of that number. Find the square of the difference betwee...
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).

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