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Q. 4. Raj has ten pairs of red, nine pairs of white and eight pairs of black shoes in a box. If he randomly picks shoes one by one (without replacement) from the box to get a red pair of shoes to wear, what is the maximum number of attempts he has to make?
(a) 27
(b) 36
(c) 44
(d) 45

Q. 20. A, B, C working independently can do a piece of work in 8, 16 and 12 days respectively. A alone works on Monday, B alone works on Tuesday, C alone works on Wednesday; A alone, again works on Thursday and so on.
Consider the following statements:
1. The work will be finished on Thursday
2. The work will be finished in 10 days
Which of the above statements is/are correct?
(a) 1 only
(b) 2 only
(c) Both 1 and 2
(d) Neither 1 nor 2

Q. 29. What is the sum of all digits which appear in all the integers from 10 to 100?
(a) 855
(b) 856
(c) 910
(d) 911

Q. 30. ABCD is a square. One point on each of AB and CD; and two distinct points on each of BC and DA are chosen. How many distinct triangles can be drawn using any three points as vertices out of these six points?
(a) 16
(b) 18
(c) 20
(d) 24
66. A flag has to be designed with 4 horizontal stripes using some or all of the colors red, green and yellow. What is the number of different ways in which this can be done so that no two adjacent stripes have the same colour?
(a) 12
(b) 18
(c) 24
(d) 36