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)
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142. What is the highest power of 7 in 5000!? (5000! means factorial 5000)
(a) 4998
(b) 714
(c) 832
(d) 816
Ans : (c)
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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)
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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)
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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)
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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)
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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)
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148. How many times will the digit '0' appear between 1 and 10,000?
(a) 4000
(b) 4003
(c) 2893
(d) 3892
Ans : (c)
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149. What is the total number of different divisors of the number 7200?
(a) 20
(b) 4
(c) 54
(d) 32
Ans : (c)
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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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