1. If m and n are integers and mn = 10, which of the following cannot be a value of m + n? (a) 29 (b) 25 (c) 101 (d) 52 (e) 50 2. A two digit number is four times the sum of the two digits. If the digits are reversed, the number so obtained is 18 more than the original number. What is the original number? (a) 48 (b) 42 (c) 24 (d) 12 (e) 36 3. x and y are positive integers and x is less than y. If x2 + y2 equals two times 5 and xy equals two times 2. X/Y will equal. (a) 1/2 (b) 1/2 (c) 1 (d) 2 (e) 3/2 4. If x and y are different integers, both divisible by 5 , then which of the following is not necessarily true? (a) (x y) is divisible by 5 (b) x2 + y2 is divisible by 5 (c) x.y is divisible by 5 (d) x2 y2 is divisible by 5 (e) (x + y) is divisible by 10 5. What will be the remainder when 5382 + 53 is divided by 54? (a) 50 (b) 51 (c) 0 (d) 2 (e) 31 6. If the seven figure number 30x0103 is a multiple of 13, then x is: (a) 7 (b) 1 (c) 8 (d) 6 (e) None 7. In a division sum, the divisor is 12 times the quotient and 5 times the remainder. If the remainder is 48, then the dividend is: (a) 4808 (b) 4836 (c) 4824 (d) 3648 (e) 4848 8. The sum of all integers between 200 and 400 divisible by 9 is: (a) 3366 (b) 6633 (c) 6336 (d) 3663 (e) None 9. The sum of two numbers is and their geometric mean is 20% lower than their arithmetic mean. Find the number. (a) 13, 2 (b) 11, 4 (c) 10, 5 (d) 12, 3 (e) 9, 6 10. Which one of the following is the rational number lying between 6/7 and 7/8? (a) 95/112 (b) 98/112 (c) 97/112 (d) 99/112 (e) 3/4