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Practice No. System Questions and Answers

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%...
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.

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