22. 


Answer: Option A Explanation:

23.  (?) + 3699 + 1985 – 2047 = 31111  
Answer: Option B Explanation:
x + 3699 + 1985 – 2047 = 31111 x + 3699 + 1985 = 31111 + 2047 x + 5684 = 33158 x = 33158 – 5684 = 27474. 
24.  If the number 481 * 673 is completely divisible by 9, then the smallest whole number in place of * will be:  
Answer: Option D Explanation:
Sum of digits = (4 + 8 + 1 + x + 6 + 7 + 3) = (29 + x), which must be divisible by 9. x = 7. 
25.  The difference between the local value and the face value of 7 in the numeral 32675149 is  
Answer: Option D Explanation: (Local value of 7) – (Face value of 7) = (70000 – 7) = 69993 
26.  The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is:  
Answer: Option C Explanation:
20 – 20x^{2} = 9x 20x^{2} + 9x – 20 = 0 20x^{2} + 25x – 16x – 20 = 0 5x(4x + 5) – 4(4x + 5) = 0 (4x + 5)(5x – 4) = 0

27.  On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder ?  

28.  If n is a natural number, then (6n^{2} + 6n) is always divisible by:  
Answer: Option B Explanation:
(6n^{2} + 6n) = 6n(n + 1), which is always divisible by 6 and 12 both, since n(n + 1) is always even. 
29.  107 x 107 + 93 x 93 = ?  
Answer: Option C Explanation:

30.  What will be remainder when (67^{67} + 67) is divided by 68 ?  
Answer: Option C Explanation:
(x^{n} + 1) will be divisible by (x + 1) only when n is odd. (67^{67} + 1) will be divisible by (67 + 1) (67^{67} + 1) + 66, when divided by 68 will give 66 as remainder. 