Quantitative Maths Preparation

Quantitative Maths Preparation -> Multiple Choice

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Quantitative Section: Multiple Choice

141. The largest number amongst the following that will perfectly divide 101100 - 1 is (a) 100 (b) 10000 (c) 100 100 (d) 100000 Ans : (b) 142. What is the highest power of 7 in 5000!? (5000! means factorial 5000) (a) 4998 (b) 714 (c) 832 (d) 816 Ans : (c) 143. What is the total number of different divisors including 1 and the number that can divide the number 6400? (a) 24 (b) 27 (c) 54 (d) 68 Ans : (b) 144. How many four digit numbers exist which can be formed by using the digits 2, 3, 5 and 7 once only such that they are divisible by 25? (a) 4! - 3! (b) 4 (c) 8 (d) 6 Ans : (b) 145. A certain number when successfully divided by 8 and 11 leaves remainders of 3 and 7 respectively. What will be remainder when the number is divided by the product of 8 and 11, viz 88? (a) 3 (b) 21 (c) 59 (d) 68 Ans : (c) 146. 'a' and 'b' are the lengths of the base and height of a right angled triangle whose hypotenuse is 'h'. If the values of 'a' and 'b' are positive integers, which of the following cannot be a value of the square of the hypotenuse? (a) 13 (b) 23 (c) 37 (d) 41 Ans : (b) 147. What is the reminder when 91 + 92 + 93 + ...... + 99 is divided by 6? (a) 0 (b) 3 (c) 4 (d) None of these Ans : (b) 148. How many times will the digit '0' appear between 1 and 10,000? (a) 4000 (b) 4003 (c) 2893 (d) 3892 Ans : (c) 149. What is the total number of different divisors of the number 7200? (a) 20 (b) 4 (c) 54 (d) 32 Ans : (c) 150. What is the least number that should be multiplied to 100! to make it perfectly divisible by 350? (a) 144 (b) 72 (c) 108 (d) 216 Ans : (b)

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