A few Questions on Number Systems: 1. Convert repeating decimal number 0.454545…. into rational form. 2. What is the number of natural numbers n in the range of 2 < n < 20 such that (n-1)! is not divisible by n? 3. A child tore off one leaf from a book having page number from 1 to N. Summation of the remaining number of pages = 1009. Which are the page numbers on the leaf torn off from this book? 4. How many perfect squares can be formed by using all the digits 1,2 and 3 each of the digits given four times? 5. A student was asked to divide a number by 17/8. Instead, he actually multiplied it by 17/8 and hence got 225 more than the expected answer? 6. If n^2=123456787654321, what is n? 7. LCM of 1st 100 numbers in N. What is the LCM of 1st 105 natural numbers? 8. How many positive integers would perfectly divide 840? 9. How many positive integers less than 1025 and prime to 1025? 10. How many triangular nos. less than 500, have the property that they are the difference of squares of 2 consecutive natural nos.? (A triangular no. is a no. which can be expressed as the sum of consecutive natural nos. starting with 1.)
Posted on: Tue, 03 Sep 2013 14:39:59 +0000
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