Number System · General Aptitude

ABC26GN0001 · Simplify: (i) 8888 + 888 + 88 + 8 (ii) 715632 – 631104 – 9874 – 999 · 2007

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

ABC26GN0112 · If x and y are composite numbers, then x + y is always composite. self-practice

ABC26GN0133 · If p > 2 is a prime, then it can be written as 4n + 1 or 4n + 3 for a suitable natural number n. self-practice

ABC26GN0137 · Xk is a prime number. k is a composite number. self-practice

ABC26GN0002 · What value will replace the question mark in each of the following questions? (i)? – 1936248 = 1635773 (ii) 9587 –? = 7429 – 4358

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

ABC26GN0113 · There does not exist a natural number which is neither prime nor composite. Which of the above statements is/are correct?

ABC26GN0134 · If p > 2 is a prime, then (p – 1) (p + 1) is always divisible by 4. Of these statements,

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

ABC26GN0138 · Xk + 1 is always an even number. Which of the above is/are correct?

ABC26GN0004 · Simplify: (i) 5793405 × 9999 (ii) 839478 × 625

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

ABC26GN0005 · Evaluate: (i) 986 × 137 + 986 × 863 (ii) 983 × 207 – 983 × 107

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

ABC26GN0006 · Simplify: (i) 1605 × 1605 (ii) 1398 × 1398

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

ABC26GN0008 · Simplify: (i) (387 × 387 + 113 × 113 + 2 × 387 × 113) (ii) (87 × 87 + 61 × 61 – 2 × 87 × 61)

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

ABC26GN0009 · Find the square root of 4a2 + b2 + c2 + 4ab – 2bc – 4ac. · 2010

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

ABC26GN0010 · A is counting the numbers from 1 to 31 and B from 31 to 1. A is counting the odd numbers only. The speed of both is the same. What will be… · 2010

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

ABC26GN0013 · Which of the following are prime numbers? (i) 241 (ii) 337 (iii) 391 (iv) 571

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

ABC26GN0016 · Which of the following numbers is divisible by 3? (i) 541326 (ii) 5967013

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…

ABC26GN0017 · What least value must be assigned to * so that the number 197*5462 is divisible by 9?

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

ABC26GN0018 · Which of the following numbers is divisible by 4? (i) 67920594 (ii) 618703572

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

ABC26GN0019 · Which digits should come in place of * and \ if the number 62684*\ is divisible by both 8 and 5?

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

ABC26GN0020 · Show that 4832718 is divisible by 11.

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

ABC26GN0021 · Is 52563744 divisible by 24?

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

ABC26GN0022 · What are the values of M and N respectively if M39048458N is divisible by both 8 and 11, where M and N are single-digit integers?

ABC26GN0074 · If the numbers from 1 to 24, which are divisible by 2 are arranged in descending order, which number will be at the 8th place from the…

ABC26GN0023 · Find the number of digits in the smallest number which is made up of digits 1 and 0 only and is divisible by 225.

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