**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 x ^{2} - 2x - 24 and x^{2} - 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

### Answers

- (b)
- (a)
- (b)
- (a)
- (b)
- (a)
- (b)
- (a)
- (b)
- (d)

*Above questions were asked in CDS (II) 2012 Elementary Mathematics paper*