Number System

ABC26GN0053 · What is the place value of 5 in 3254710? · 2010

ABC26GN0054 · The face value of 8 in the number 458926 is · 2006

ABC26GN0003 · What could be the maximum value of Q in the following equation? 5P9 + 3R7 + 2Q8 = 1114

ABC26GN0055 · The sum of the place values of 3 in the number 503535 is · 2005

ABC26GN0056 · The difference between the place values of 7 and 3 in the number 527435 is

ABC26GN0057 · The difference between the local value and the face value of 7 in the numeral 32675149 is

ABC26GN0058 · The sum of the greatest and smallest number of five digits is · 2005

ABC26GN0059 · If the largest three-digit number is subtracted from the smallest five-digit number, then the remainder is

ABC26GN0060 · The smallest number of 5 digits beginning with 3 and ending with 5 will be · 2006

ABC26GN0061 · What is the minimum number of four digits formed by using the digits 2, 4, 0, 7? · 2007

ABC26GN0062 · All natural numbers and 0 are called the ____ numbers. · 2006

ABC26GN0063 · Consider the following statements about natural numbers: (1) There exists a smallest natural number. (2) There exists a largest natural…

ABC26GN0012 · Simplify: ((893+786)2 - (893-786)2)/(893 × 786).

ABC26GN0064 · Every rational number is also

ABC26GN0065 · The number pi is · 2005

ABC26GN0014 · If Delta stands for the operation 'adding first number to twice the second number', then find the value of (1 Delta 2) Delta 3.

ABC26GN0066 · √(2) is a/an

ABC26GN0015 · Given that 12+22+32+…+102=385, then find the value of 22+42+62+…+202.

ABC26GN0067 · The number √(3) is

ABC26GN0068 · There are just two ways in which 5 may be expressed as the sum of two different positive (non-zero) integers, namely 5=4+1=3+2. In how many…

ABC26GN0069 · P and Q are two positive integers such that P Q=64. Which of the following cannot be the value of P+Q ?

ABC26GN0070 · If x+y+z=9 and both y and z are positive integers greater than zero, then the maximum value x can take is · 2006

ABC26GN0071 · What is the sum of the squares of the digits from 1 to 9?

ABC26GN0072 · If n is an integer between 20 and 80, then any of the following could be n+7 except

ABC26GN0073 · Which one of the following is the correct sequence in respect of the Roman numerals: C, D, L and M ? · 2008

ABC26GN0075 · 2-2+2-2+ldots 101 terms = ? · 2008

ABC26GN0076 · 98th term of the infinite series 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, ldots is · 2005

ABC26GN0077 · If x, y, z be the digits of a number beginning from the left, the number is

ABC26GN0026 · Find the smallest number to be added to 1000 so that 45 divides the sum exactly.

ABC26GN0079 · If n and p are both odd numbers, which of the following is an even number?

ABC26GN0028 · Find the number which is nearest to 3105 and is exactly divisible by 21.

ABC26GN0029 · Find the smallest number of five digits which is exactly divisible by 476.

ABC26GN0081 · If (n-1) is an odd number, what are the two other odd numbers nearest to it?

ABC26GN0082 · Which of the following is always odd?

ABC26GN0084 · If a and b are two numbers such that a b=0, then · 2006

ABC26GN0085 · If A, B, C, D are numbers in increasing order and D, B, E are numbers in decreasing order, then which one of the following sequences need…

ABC26GN0086 · If m, n, o, p and q are integers, then m (n + o) (p – q) must be even when which of the following is even?

ABC26GN0087 · If n is a negative number, then which of the following is the least?

ABC26GN0088 · If x – y = 8, then which of the following must be true? I. Both x and y are positive. II. If x is positive, y must be positive. III. If x…

ABC26GN0037 · Find the total number of prime factors in the expression (4)11 ×(7)5 ×(11)2.

ABC26GN0089 · If x and y are negative, then which of the following statements is/are always true? I. x + y is positive. II. xy is positive. III. x – y is…

ABC26GN0038 · What is the number of zeros at the end of the product of the numbers from 1 to 100?

ABC26GN0090 · If n = 1 + x, where x is the product of four consecu- tive positive integers, then which of the following is/are true? I. n is odd. II. n…

ABC26GN0039 · What is the number of zeros at the end of the product 55 × 1010 × 1515 × … ….. × 125125 ?

ABC26GN0040 · On dividing 15968 by a certain number, the quotient is 89 and the remainder is 37. Find the divisor.

ABC26GN0092 · If x is a rational number and y is an irrational number, then

ABC26GN0041 · A number when divided by 114, leaves remainder 21. If the same number is divided by 19, find the remainder. · 2010

ABC26GN0093 · The difference between the square of any two consecutive integers is equal to

ABC26GN0094 · Between two distinct rational numbers a and b, there exists another rational number which is · 2006

ABC26GN0095 · If B>A, then which expression will have the highest value (given that A and B are positive integers)? · 2007