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Practice No. System Questions and Answers

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.
Find the smallest number that, when divided by 3, 4, 5, and 6, leaves a remainder of 2 but is divisible by
Find the number whose four-fifth is more than its three-fourth by 5.
Three-fifths of Rahul's salary is equal to Priya's salary, and two-thirds of Priya's salary is equal to Raj's salary. If the sum of their salaries is ₹1,...
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...
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:
Which of the following is a pair of co-primes?
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.
Find the number of trailing zeros in 475!
What will be the remainder when 4961 is divided by 35?
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.
The sum of a positive number 'A' and its square is 240. Find the value of (A2 - 7A).
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'.

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