Q1. A discount of 30% on the marked price of toy reduces its selling price by Rs. 30. What is the new selling price (in Rs.)?
(a) 70
(b) 21
(c) 130
(d) 100
(e) None of the above
Q2. An elevator starts with 5 passengers and stops at 8 different floors of the house. Find out the probability of all the 5 passengers alighting at different floors.
(a)101/512
(b)105/512
(c)107/512
(d)109/512
(e)None of the above
Q3. If a 4-digit number is formed at random using the digits 1, 3, 5, 7 and 9 without repetition, then the probability that it is divisible by 5, is
(a)4/5
(b)3/5
(c)1/5
(d)2/3
(e)None of the above
Direction (Q.4-5): Study the information carefully to answer the questions that follow.
A basket contains 3 blue, 2 green and 5 red balls.
Q4. If three balls picked at random, what is the probability that at least one is red?
(a)1/2
(b)7/12
(c)11/12
(d)1/5
(e)None of the above
Q5. If four balls are picked at random, what is the probability that two are green and two are blue?
(a)1/18
(b)1/70
(c)3/5
(d)1/2
(e) None of the above
Q6. Two persons A and B appear in an interview for two vacancies. If the probabilities of their selection are 1/4 and 1/6, respectively, then the probability that none of them is selected, is
(a)5/8
(b)5/12
(c)1/12
(d)1/24
(e)None of the above
Q7. The probabilities of solving a problem by three students. A, B and C are 1/2,1/3 and 1/4, respectively. The probability that the problem will be solved, is
(a)1/4
(b)1/2
(c)3/4
(d)1/3
(e) None of the above
Q8. A man sells his table clock for Rs. 144. If his percentage of profit is equal to his cost price, then the cost price of the watch is:
(a) Rs. 90
(b) Rs. 85
(c) Rs. 80
(d) Rs. 75
(e) Rs. 64
Q9. If the average of 39, 48, 51, 63, 75, 83, x and 69 is 60, then the value of x is
(a) 52
(b) 53
(c) 50
(d) 51
(e) None of the above
Q10.The cost of a piece of diamond varies with the square of its weight. A diamond of Rs. 5,184 value is cut into 3 pieces whose weights are in the ratio 1 : 2 : 3. Find the loss involved in the cutting.
(a) Rs. 3,068
(b) Rs. 3,088
(c) Rs. 3,175
(d) Rs. 3,168
(e) None of the above
Directions (Q.11-15): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer,
(a) if x<y
(b) if x≤y
(c) if x = y, or no relation can be established between x and y
(d) if x>y
(e) if x≥y