1. The price of an article is Rs. 25. After two successive cuts by the same percentage, the price becomes Rs. 20.25. If each time the cut was x%, then:

• (a) x = 9
• (b) x = 10
• (c) x = 11
• (d) x = 11.5

2. Three planets revolve round the sun once in 200, 250, 300 days respectively in their own orbits. When do they all come relatively to the same position as at a certain point of time in their orbits?

• (a) After 3000 days
• (b) After 2000 days
• (c) After 1500 days
• (d) After 1200 days

3. What is the greatest number that divides 13850 and 17030 and leaves a remainder 17?

• (a) 477
• (b) 159
• (c) 107
• (d) 87

4. If the sum of an integer and its reciprocal is 10/3, then the integer is equal to:

• (a) 3
• (b) 6
• (c) 12
• (d) 13

5. If (x - 6) is the HCF of x2 - 2x - 24 and x2 - kx - 6, then what is the value of k?

• (a) 3
• (b) 5
• (c) 6
• (d) 8

6. Which one of the following is neither prime number nor composite number?

• (a) 1
• (b) 2
• (c) 3
• (d) None of the above

7. There are some benches in a class room having the number of rows 4 more than the number of columns. If each bench is seated with 5 students, there are two seats vacant in a class of 158 students. The number of rows is:

• (a) 4
• (b) 8
• (C) 6
• (d) 10

8. A ladder 20m long is placed against a wall so that the foot of the ladder is 10m from the wall. The angle of inclination of the ladder to the horizontal will be:

• (a) 30 degrees
• (b) 45 degrees
• (c) 60 degrees
• (d) 75 degrees

9. The locus of a point in rhombus ABCD which is equidistant from A and C is:

• (a) a fixed point on diagonal BD
• (b) diagonal BD
• (c) diagonal AC
• (d) None of the above

10. lf two parallel lines are cut by two distinct transversals, then the quadrilateral formed by the four lines is always a:

• (a) square
• (b) parallelogram
• (c) rhombus
• (d) trapezium