# Arithmetic Reasoning

 If you write down all the numbers from 1 to 100, then how many times do you write 3? A) 11 B) 18 C) 20 D) 21 Correct Answer : 20 Explanation :if write down from 1 to 100, there are eleven numbers with 3 as the unit's digit- 3, 13, 23, 33, 43, 53, 63, 73, 83, 93; 33 has two three, and nine numbers with 3 as the ten's digit - 30, 31, 32, 34, 35, 36, 37, 38, 39. So, required number = 11+ 9= 20. The total number of digits used in numbering the pages of a book having 366 pages is? A) 732 B) 990 C) 1098 D) 1305 Correct Answer : 990 Explanation :Total number of digits= No. of digits in 1- digit page nos.(1 to 9) + No. of digits in 2-digit page nos.(10 to 99) + No. of digits in 3- digit page nos(100 to 999). First 9 pages having 1 digit nos (1x9=9 digits). Next 90 pages having 2 digit nos (2 x 90=180 digits). Remaining 267 pages having 3 digit nos (267x3 = 801 digits) So total will be = (1 x 9 + 2 x 90 + 3 x 267) = (9 + 180 + 801) = 990. In a garden, there are 10 rows and 12 coloumns of mango trees. The distance between two trees is 2 meters and a distance of one meter is left from all sides of the boundary of the garden. The length of the garden is? A) 20m B) 22m C) 24m D) 26m Correct Answer : 24m Explanation :Between 12 mango trees, there are 11 gaps and each gap has 2 metre length. Also, 1metre is left from all sides of the boundary of the garden. Hence, length of the garden=11×2+1+1=24 meter A farmer built a fence around his square plot. He used 27 fence poles on each side of the square. How many poles did he need altogether? A) 100 B) 104 C) 108 D) 110 Correct Answer : 104 Explanation :Since each pole at the corner i.e. 4 corner ploes of the plot is common to its two sides, so we have : Total number of poles needed = 27 x 4 - 4 = 108 - 4 = 104. Which of the following operations will result in 22? A) 16 / 12 + 8 - 13 * 15 B) 16 - 12 * 8 / 13 + 15 C) 16 * 12 / 8 + 13 - 15 D) 16 + 12 - 8 * 13 / 15 Correct Answer : 16 * 12 / 8 + 13 - 15 Explanation :16 * 12 / 8 + 13 - 15 =((16*12) / 8) + 13 -15 = 24 + 13 - 15 = 37 - 15 = 22 If 6★5 = 31, 7★8 = 57, 3★4 = 13, then 9★10 = ? A) 90 B) 91 C) 81 D) 19 Correct Answer : 91 Explanation :As, 6★5 = 6 * 5 + 1 = 31 7★8 = 7 * 8 + 1 = 57 and 3★4 = 3 * 4 + 1 = 13 Similarly, 9★10 = 9 * 10 + 1 = 91 If 879 = 8, 625 = 1 and 586 = 9 then, 785 = ? A) 6 B) 7 C) 8 D) 9 Correct Answer : 6 Explanation :879 => (7 + 9) - 8 = 8 625 => (2 + 5) - 6 = 1 and 586 => (8 + 6) - 5 = 9 Similarly, 785 => (8 + 5) - 7 = 6 If given, 12 (169) 5, 4 (20) 2 and 1 (26) 5 then 7 (--) 3 ? A) 78 B) 68 C) 58 D) 36 Correct Answer : 58 Explanation :As, 122 + 52 => 144 + 25 = 169 42 + 22 => 16 + 4 = 20 and 12 + 52 => 1 + 25 = 26 Similarly, 72 + 32 => 49 + 9 = 58 If 6 *8 *3 = 638, 9 *0 *2 = 920, then 5 *7 *4 =? A) 574 B) 745 C) 475 D) 547 Correct Answer : 547 Explanation :As, 6 *8 *3 = 638 and 9 *0 *2 = 920 Similarly, 5 *7 *4 = 5 4 7