Practice No. System Questions and Answers

• The sum of the digits of a two-digit number is 9, and when the digits are reversed, the number decreases by 45. Find the changed number.
• In a bag full of pencils, 3/4 of the pencils were colored pencils, and 8/15 of the colored pencils were red. If there were 72 red pencils in the bag, what ...
• The sum of two numbers is 18 while the sum of their squares is 164. Find the sum of the cubes of those two numbers.
• Find the difference between of the greatest among the numbers 0.82, 0.802, 0.85, 0.085 with the smallest among the numbers 0.3, 0.03, 0.203, 2.03
• Bhawna won 3/5 of the marbles that were there at the beginning of the game. Ravi won 2/3 of the remaining marbles while Sunny won the remaining 80 marbles....
• The denominator of a rational number is 4 more than its numerator. If the numerator is increased by 5 and the denominator is decreased by 3, we obtain 3. T...
• The denominator of a positive rational number is 4 more than its numerator. If the numerator is increased by 6 and the denominator is increased by 5, then ...
• A positive number, when 15 is added to it, becomes 50 times its reciprocal. Find this positive number.
• A positive number becomes 34 times its reciprocal if 9 is subtracted from it. Find the number.
• A positive number becomes 9 times its reciprocal when 3 is added to it. Find this number.
• 385! In the trailing Zeros, let us know.
• What is the difference between 3/5 of 150 and 1/2 of 300?
• Two friends received a bonus of ₹3,000 each in their bank accounts. They already have ₹47,000 and ₹57,000 in their respective bank accounts. The rati...
• Select the option that gives decimal numbers 0.24, 1.23, 0.0881, and 2.66 arranged in ascending order.
• The difference between two numbers is 60% of the larger number. If the smaller number is 10, find the larger number-
• The value of a washing machine depreciates by 10% every year. The current price of the washing machine is ₹9477. What was the price of the machine three ...
• Christina spends half of her salary and saves the other half. If she spends ₹ 40,000 monthly, what is her annual savings?
• Sum of the three numbers is 150. Ratio of the first number to second number is 3:5 and the ratio of second number to third number is 5:7. Find the second n...
• Sum of the three numbers is 180. Ratio of the first number to second number is 4:7 and the ratio of second number to third number is 7:9. Find the second n...
• The ratio of two natural numbers 'x' and 'y' is 9:13, respectively. When 30 is added to 'x' and 15 is subtracted from 'y', the ratio of 'x' to 'y' becomes ...
• The ratio of two natural numbers 'u' and 'v' is 3:4, respectively. When 12 is added to 'u' and 8 is subtracted from 'v', the ratio of 'u' to 'v' becomes 5:...
• There are three numbers 'a', 'b' and 'c' (a < b < c) such that 'b' is equal to the average of 'a' and 'c'. 70% of 'c' is equal to 'a' and the difference be...
• There are three numbers 'u', 'v' and 'w' (u < v < w) such that 'v' is equal to the average of 'u' and 'w'. 80% of 'w' is equal to 'u' and the difference be...
• The cube of the difference between two given natural numbers is 1728, while the product of these two given numbers is 108. Find the sum of these two given ...
• The cube of the difference between two given natural numbers is 1000, while the product of these two given numbers is 56. Find the positive difference betw...
• Two students appeared in an exam and one secured 30 marks more than the other. If marks of the student who got more marks is 65% of the sum of the marks of...
• Two students appeared in an exam and one secured 18 marks more than the other. If marks of the student who got more marks is 58% of the sum of the marks of...
• The sum and product of two numbers are 18 and 72, respectively. If 'b' represents the sum of their reciprocals, then which of the following is true.
• The average of five consecutive even numbers is 22. What is the smallest of these numbers?
• Which pair of these numbers is cop rime?
• If a cube of a number is subtracted from (153)², the number so obtained is 1457, Find the number.
• The product of four consecutive numbers is always divisible by which of the following numbers?
• Five times a positive integer is 3 less than twice its square. Find the integer.
• If a, 1, b are in arithmetic progression and 1, a, b are in geometric progression, then a and b are respectively equate to _______ (where a ≠ b).
• A number when divided by 234 gives the remainder 36. What will be the remainder when it is divided by 13?
• If 1/7 of a number is subtracted from the number, the result is 30 less than the number. Find the number.
• Six numbers are arranged in decreasing order. The average of the first five numbers is 40, and the average of the last five numbers is 35. What is the diff...
• Nine numbers are arranged in decreasing order. The average of the first eight numbers is 50, and the average of the last eight numbers is 45. What is the d...
• Ten numbers are arranged in decreasing order. The average of the first nine numbers is 55, and the average of the last nine numbers is 50. What is the diff...
• Five numbers are arranged in decreasing order. The average of the first four numbers is 60, and the average of the last four numbers is 55. What is the dif...