Practice No. System Questions and Answers

• 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?
• 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.