Problems on Numbers

ABC26GN1627 · A number is as much greater than 36 as is less than 86. Find the number.

ABC26GN1648 · By how much is 3/4 th of 568 lesser than 7/8 th of 1008? · 2008

ABC26GN1628 · Find a number such that when 15 is subtracted from 7 times the number, the result is 10 more than twice the number. · 2002

ABC26GN1650 · The difference between a number and its three-fifths is 50. What is the number?

ABC26GN1629 · The sum of a rational number and its reciprocal is 13/6. Find the number.

ABC26GN1651 · If a number is added to two-fifths of itself, the value so obtained is 455. What is the number? · 2010

ABC26GN1653 · If a number is multiplied by two-thirds of itself the value so obtained is 864. What is the number? · 2010

ABC26GN1654 · If a number is decreased by 4 and divided by 6, the result is 8. What would be the result if 2 is subtracted from the number and then it is…

ABC26GN1632 · If the sum of two numbers is 42 and their product is 437, then find the absolute difference between the numbers. · 2010

ABC26GN1633 · If the sum of two numbers is 10 and the sum of their reciprocals is 5/12, find the numbers. (P.C.S., 2006)

ABC26GN1634 · Three numbers are in the ratio 3 : 2 : 5. The sum of their squares is 1862. Find the numbers. · 2007

ABC26GN1635 · The sum of seven consecutive natural numbers is 1617. How many of these numbers are prime? · 2006

ABC26GN1637 · The sum of two numbers is 15 and the sum of their squares is 113. Find the numbers. · 2006

ABC26GN1638 · The average of four consecutive even numbers is 27. Find the largest of these numbers.

ABC26GN1655 · A number whose fifth part increased by 4 is equal to its fourth part diminished by 10, is · 2010

ABC26GN1656 · When 24 is subtracted from a number, it reduces to its four-seventh. What is the sum of the digits of that number?

ABC26GN1640 · Of two numbers, 4 times the smaller one is less than 3 times the larger one by 5. If the sum of the numbers is larger than 6 times their…

ABC26GN1657 · Find the number which when multiplied by 15 is increased by 196. · 2003

ABC26GN1641 · The ratio between a two-digit number and the sum of the digits of that number is 4 : 1. If the digit in the unit’s place is 3 more than the… · 2005

ABC26GN1658 · If a number, when divided by 4, is reduced by 21, the number is

ABC26GN1642 · A number consists of two digits. The sum of the digits is 9. If 63 is subtracted from the number, its digits are interchanged. Find the…

ABC26GN1659 · A number whose fifth part increased by 4 is equal to its fourth part diminished by 10, is

ABC26GN1796 · What is the two-digit number? (M.B.A., 2002) I. Sum of the digits is 7. II. Difference between the number and the number ob- tained by…

ABC26GN1643 · In a three-digit number, the digit in the units place is four times the digit in the hundreds place. If the digits in the units place and… · 2005

ABC26GN1660 · The difference of two numbers is 20% of the larger number. If the smaller number is 12, the larger one is

ABC26GN1797 · What is the sum of the digits of the two-digit number? I. The ratio between the ten’s digit and unit’s digit of the number is 3 : 2. II…

ABC26GN1661 · If one-seventh of a number exceeds its eleventh part by 100, then the number is

ABC26GN1798 · What will be the sum of two numbers? I. Among the two numbers, the bigger number is greater than the smaller number by 6. II. 40% of the…

ABC26GN1662 · If the sum of one-half and one-fifth of a number exceeds one-third of that number by 7 1/3, the number is

ABC26GN1799 · What is the two-digit number? (M.A.T., 2005) I. The difference between the two-digit number and the number formed by interchanging the…

ABC26GN1646 · 50 is divided into two parts such that the sum of their reciprocals is 1/12. Find the two parts.

ABC26GN1663 · If doubling a number and adding 20 to the result gives the same answer as multiplying the number by 8 and taking away 4 from the product…

ABC26GN1800 · What is the two-digit number? (Bank P.O., 2004) I. Digit in the ten’s place is cube of the digit in unit’s place. II. Digit in the ten’s…

ABC26GN1647 · If three numbers are added in pairs, the sums equal 10, 19 and 21. Find the numbers.

ABC26GN1664 · If 50 is subtracted from two-third of a number, the result is equal to sum of 40 and one-fourth of that number. What is the number? · 2002

ABC26GN1801 · Find three positive consecutive even numbers. (M.A.T., 2006) I. The average of four consecutive even numbers starting from the last of the…

ABC26GN1665 · A student was asked to divide the half of a certain number by 6 and the other half by 4 and then to add the two quantities so obtained…

ABC26GN1666 · One-third of a two-digit number exceeds one-fourth of its successive number by 1. The number is

ABC26GN1667 · If the sum of a number and its square is 182, what is the number?

ABC26GN1668 · If (73)2 is subtracted from the square of a number, the answer so obtained is 5075. What is the number? · 2007

ABC26GN1669 · Twenty times a positive integer is less than its square by 96. What is the integer?

ABC26GN1670 · Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is · 2003

ABC26GN1672 · Two-third of a positive number and 25/216 of its reciprocal are equal. The number is

ABC26GN1673 · Find the whole number which when increased by 20 is equal to 69 times the reciprocal of the number. · 2007

ABC26GN1674 · A positive number when decreased by 4 is equal to 21 times the reciprocal of the number. The number is

ABC26GN1675 · The sum and product of two numbers are 12 and 35 respectively. The sum of their reciprocals will be · 2007

ABC26GN1676 · The sum of a positive number and its reciprocal is thrice the difference of the number and its reciprocal. The number is

ABC26GN1677 · The product of two whole numbers is 37. The square root of the difference of the numbers is · 2007

ABC26GN1678 · The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is

ABC26GN1679 · If 2 1/2 is added to a number and the sum multiplied by 4 1/2 and 3 is added to the product and the sum is divided by 1 1/5, the quotient…