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1. How many 6 digit even numbers can be formed from digits 1, 2, 3, 4, 5, 6, and 7 so that the digit should not repeat and the second last digit is even?

a. 6480	b. 320
c. 2160	d. 720

2. The five tyres of a car (four road tyres and one spare) were used equally in a journey of 40,000 kms.  The number of kms of use of each tyre was

a. 40000	b. 10000
c. 32000	d. 8000

3. In a group of five families, every family is expected to have a certain number of children, such that the number of children forms an arithmetic progression with a common difference of one, starting with two children in the first family. Despite the objection of their parents, every child in a family has as many pets to look after as the number of offsprings in the family. What is the total number of pets in the entire group of five families.

a. 99	b. 9
c. 55	d. 90

4. According to the stock policy of a company, each employee in the technical division is given 15 shares of the company and each employee in the recruitment division is given 10 shares.  Employees belonging to both committees get 25 shares each.  There are 20 employees in the company, and each one belongs to at least one division.  The cost of each share is $10.  If the technical division has 15 employees and the recruitment division has 10 employees, then what is the total cost of the shares given by the company?

a. 2650	b. 3180
c. 3250	d. 3120

5. The average marks of 3 students A, B and C is 60.  When another student D joins the group, the new average becomes 56 marks.  If another student E, who has 3 marks more than D, joins the group, the average of the 4 students B, C, D and E becomes 55 marks.  How many marks did A get in the exam?

a. 50	b. 54
c. 51	d. 53

6. What is the number of ways of expressing 3600 as a product of three ordered positive integers (abc, bca etc. are counted as distinct).  For example, the number 12 can be expressed as a product of three ordered positive integers in 18 different ways.

a. 441	b. 540
c. 84	d. 2100

7. There is a 7-digit telephone number with all different digits.  If the digit at extreme right and extreme left are 5 and 6 respectively, find how many such telephone numbers are possible?

a. 120	b. 30240
c. None of these	d. 6720

8. A certain sum of money is sufficient to pay either George's wages for 15 days or Mark's wages for 10 days.  For how long will it suffice if both George and Mark work together?

a. 8	b. 6
c. 9	d. 5

9.There is a set of 36 distinct points on a plane with the following characteristics:
* There is a subset A consisting of fourteen collinear points.
* Any subset of three or more collinear points from the 36 are a subset of A.
How many distinct triangles with positive area can be formed with each of its vertices being one of the 36 points? (Two triangles are said to be distinct if at least one of the vertices is different)

a. 7140	b. 4774
c. 1540	d. 6776

10. remainder when m + n is divided by 12 is 8, and the remainder when m - n is divided by 12 is 6.  If m > n, then what is the remainder when mn divided by 6?

a. 3	b. 4
c. 2	d. 1

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