1. Sum of three consecutive even integers is 54. Find the least integer among them.
2. On multiplying a number by 7 all the digit in the product appear as 3's , the smallest such numbers is -
3. Find the largest number, which exactly divides every number of the form (n3 - n) (n - 2) where n is a natural number greater than 2.
4. Two number when divided by 17, leaves remainder 13 and 11 respectively. If the sum of those two numbers is divided by 17, the remainder will be ?
5. Unit digit in $${\left( {264} \right)^{102}} + {\left( {264} \right)^{103}}$$ is :
6. How many number between 1000 and 5000 are exactly divisible by 225 ?
7. The greatest value among the fractions :$$\frac{2}{7},$$ $$\frac{1}{3},$$ $$\frac{5}{6},$$ $$\frac{3}{4}$$
8. The sum of three consecutive odd natural numbers each divisible by 3 is 63. What is the largest among them ?
9. If the some of a number and its reciprocal be 2 then number is = ?
10. If two numbers are each divided by the same divisor, the remainder are respectively 3 and 4. If the sum of two numbers be divided by the same divisor, the remainder is 2. The divisor is -
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