Practice No. System Questions and Answers

• 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.
• 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...
• When a number is increased by 8, it becomes 120% of itself. The number is:
• The cost of 3 notebooks and 2 erasers is Rs.47, and the cost of 5 notebooks and 4 erasers is Rs.83. What is the total price (in Rs) of 2 notebooks and 3 er...
• Twin prime numbers are the prime numbers whose difference is always equal to 2. The number of twin primes between 35 and 100 is:
• Find the unit digit of the product 127 × 137 × 413 × 291 × 342 × 533 × 342.
• What is the digit in the units place of the number (1624)24 ?
• Find the unit digit in (257)45 × (248)73.
• Find the number of factors in 1750.
• If a number 'a' is divisible by 18 and another number 'b' is divisible by 12, then (a2 – b2) is divisible by:
• Solve the following equation: 48 ÷ [35 – {30 – (31 – 26 ÷ 2 × 4)}]
• A six-digit number 4c68d2 is divisible by 12. Find the sum of all possible values of 'c' for the largest possible value of 'd'.
• 'M' is the largest three-digit number that leaves 3 as a remainder when divided by 9, 12 and 5, Find the sum of digits of 'M'.
• Sandeep can solve 20 questions in 1 hour. If he decreased his efficiency by 20%, then how much time would he take to solve the same number of questions?
• Find the remainder when the number (289n + 147) is divided by 17.
• Find the largest three-digit number that leaves '3', '4' and '5' as remainder when it is divided by '7', '8' and '9', respectively.
• If '176x95' is a six-digit number that is divisible by 3, then find the maximum value of '5x'.
• Find the smallest integer that must be subtracted from 653, so that it is divisible by both 23 and 27.