Numbers Questions

• A number exceeds its 1/6 by 30. What is the number?
• The sum of three consecutive even integers is 84. Which is the least integer among them?
• Which smallest number must be subtracted from 400, so that the resulting number is completely divisible by 7?
• By what least number should 1200 be multiplied so that it becomes a perfect square?
• Which of the following can't be the unit's digit of a perfect square?
• How many numbers are there from 300 to 700 which are divisible by 2, 3 and 7?
• Product of three consecutive odd numbers is 1287. What is the largest of the three numbers?
• For what value of X, 211X will be a perfect square?
• The number 3521 is divided by 8. What is the remainder?
• A prime number contains the digit X at unit’s place. How many such digits of X are possible?
• Given that the polynomial (x2+ ax+ b) leaves that same remainder when by (x –1) or (x + 1) What are the values of a and b respectively?
• Consider two-digit numbers which remain the same when the digits interchange their positions. What is the average of such two-digit numbers?
• What is the sum of all prime numbers between 60 and 80?
• What is the unit place digit in the expansion of 773 ?
• Consider the following statements in respect of two integers p and q (both > 1) which are relatively prime: 1) Both p and q may be prime numbers. 2) Both p and q may be composite numbers 3) one of p and q may be prime and the other composite. Which of the above statements are correct?
• Which one of the following is an irrational number?
• How many pairs (A, B) are possible in the number 479865AB if the number is divisible by 9 and it is given that the last digit of the number is odd?
• Consider the multiplication 999 × abc = def132 in decimal notation, where a, b, c, d, e and f are digits. What are the values of a, b, c, d, e and f respectively?
• Which of the following statements is not true?
• Sum of twice a fraction and 5 times its reciprocal is 7. What is the fraction?