1. If a, b, c, ........, x, y, z are 26 natural numbers , then the value of (x a) (x b) (x c)........ (x y) (x z) is : (a) 0 (b) 1 (c) 13 (d) 26 (e) 2. If 12 + 22 + 32 + .................+ 5122 = m, then 22 + 42 + 62 + 10242 is equal to: (a) 4m (b) 2m (c) 3m (d) m2 (e) m4 3. If a and b are such numbers that a > 0 and b < 0, then which one of the following is always correct? (a) a + b > 0 (b) a b > 0 (c) a + b < 0 (d) a b < 0 (e) a + b = 0 4. The sum of the numerator and denominators of a certain fraction is 8. If 2 is added to both the numerator and the denominator the value of the fraction is increased by 4/35 then the fraction is: (a) 17 (b) 53 (c) 35 (d) 354 (e) None 5. In a number of three digits, the digits in the units place and the tens place are equal and the sum of all the digits is 8. The digit of unit place is: (a) 4 (b) 3 (c) 5 (d) 6 (e) None 6. If 1 2 3 ......... x n is donated by n!, then (8! 7! 6!) is equal to : (a) 6 7 8! (b) 7 8 6! (c) 6 8 6! (d) 6 8 7! (e) None 7. The sum of the squares of three consecutive natural numbers is 2030. Then what is the middle number? (a) 27 (b) 26 (c) 25 (d) 28 (e) 24 8. 55% of a number is more than 13rd of that number by 52. What is 25th of that number? (a) 240 (b) 69 (c) 96 (d) 144 (e) 345 9. The digit of two digit number are in the ratio of 2 : 3 and the number obtained by interchanging the digits is bigger than the original number by 27. What is the original number? (a) 69 (b) 96 (c) 46 (d) 64 (e) 54 10. Five eighth of three tenth of four ninth of a number is 45. What is the number? (a) 550 (b) 450 (c) 560 (d) 540 (e) 650