1. The number of girls appearing for an admission test is twice the number of boys. If 30% of the girls and 45% of the boys get admission, the percentage of candidates who do not get admission is
2. A natural number n is such that 120<n<240. If the hcf of n and 240 is 1 then how many possible values of n are there
3. If n=888...upto 100 digits, what is remainder when n is divided by 625
4. A sequence of 4 digits, when considered as a number in base 10 is four times the number it represents in base 6. What is the sum of digit of the sequence.
5. Remainder when 7^(700) is divided by 100
6. Out of numbers a, b, c, d each pair of numbers has the same highest common factor. Find the highest common factor of all the 4 numbers if the least common multiple of a and b is 310 and that of C and d is 651.
7. How many ordered triplet (a, b, c) exist such that Lcm (a, b) =1000, Lcm(b,c)=2000, Lcm (c, a) =2000 and Hcf(a, b) =k×125?
8. Which of the following will completely divide (106^90 - 49^90).
9. A four digit number is divisible by sum of its digit. Also the sum of these four digits equal the product of digits. What could be the product of the digits of such number.
10. P is the product of ten consecutive two digits natural number. If 2^a is a factor of P, then the maximum value a can assume is
