Directions (1-3): Study the information carefully to answer the following questions:
An urn contains 5 red, 3 green, 2 blue and 4 yellow marbles.
Q1. Â If two marbles are picked at random, what is the probability that both are blue?
(a) 1/7 Â Â Â Â Â Â Â Â Â Â Â Â Â Â (b) 1/14Â Â Â Â Â Â Â Â Â Â Â Â Â  (c) 2/91 Â Â Â Â Â Â Â Â Â Â Â Â Â Â (d) 1/28Â Â Â Â Â Â Â Â Â Â Â Â Â  (e) None of these

Q2. If three marbles are picked at random, what is the probability that one is green and two are yellow?
(a) 3/14Â  Â Â Â Â Â Â Â Â Â Â Â Â Â Â (b) 2/91Â Â Â Â Â Â Â Â Â Â Â Â Â  (c)9/182 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â (d) 7/545Â Â Â Â Â Â Â Â Â Â Â Â Â  Â (e) None of these

Q3.If two marbles are picked at random, what is the probability that either both are red or both are green?
(a) 5/7Â  Â Â Â Â Â Â Â Â Â Â Â Â Â Â (b) 5/14Â Â Â Â Â Â Â Â Â Â Â Â Â  (c) 1/7Â  Â Â Â Â Â Â Â Â Â Â Â Â Â Â (d) 1/14Â Â Â Â Â Â Â Â Â Â Â Â Â  (e) None of these

Directions (4-8): In each of these questions, one question is given followed by data in three statements I, II and III. You have to study the question and the data in statements and decide the question can be answered with data in which of the statements and mark your answer accordingly.

Q4. What is the rate of interest p.c.p.a.?
Statements:
I. Difference between the compound interest and simple interest earned in two years on the amount invested is Rs. 100/-
II. The amount becomes Rs. 19,500/- in three years on simple interest.
III. Simple interest accrued in two years on the same amount at the same rate of interest is Rs. 3,000/-
(a) Only I and IIÂ Â Â Â Â Â Â Â Â Â Â Â Â  (b) Only I and IIIÂ Â Â Â Â Â Â Â Â Â Â Â Â  (c) Only II and IIIÂ Â Â Â Â Â Â Â Â Â Â Â Â  (d) Only I and either II or IIIÂ Â Â Â Â Â Â Â Â Â Â Â Â  (e) None of these

Q5. What is the speed of the train in km/hr?
Statements:
I. The train crosses an â€˜xâ€™ m long platform in â€˜nâ€™ seconds.
II. Length of the train is â€˜yâ€™ m.
III. The train crosses a signal pole in â€˜mâ€™ seconds.
(a) Any two of the threeÂ Â Â Â Â Â Â Â Â Â Â Â Â  (b) Only II and IIIÂ Â Â Â Â Â Â Â Â Â Â Â Â  (c) Only I and IIIÂ Â Â Â Â Â Â Â Â Â Â Â Â  (d) All I, II and III
(e) Question cannot be answered even with information in all three statements

Q6. How many students passed in first class?
Statements:
I. 85% of the students who appeared in examination have passed either in first class or in seconds class or in pass class.
II. 750 students have passed in second class.
III. Number of students passed in pass class is 28% of those passed in second class.
(a) All I, II and IIIÂ Â Â Â Â Â Â Â Â Â Â Â Â  (b) Only I and IIIÂ Â Â Â Â Â Â Â Â Â Â Â Â  (c) Only II and IIIÂ Â Â Â Â Â Â Â Â Â Â Â Â  (d) Question cannot be answered even with information in all three statements.
(e) None of these

Q7. What is the amount invested in Scheme â€˜Bâ€™?
Statements:
I. The amounts invested in Schemes â€˜Aâ€™ and â€˜Bâ€™ are in the ratio of 2 : 3 respectively.
II. Amount invested in Scheme â€˜Aâ€™ is 40% of the total amount invested.
III. Amount invested in Scheme â€˜Aâ€™ is Rs. 45,000/-
(a) Only I and IIÂ Â Â  Â Â Â Â Â Â Â Â Â Â (b) Only I and IIIÂ Â Â Â Â Â Â Â Â Â Â Â Â  (c) Only II and IIIÂ Â Â Â Â Â Â Â Â Â Â Â Â  (d) All I, II and IIIÂ Â Â Â Â Â Â Â Â Â Â Â Â  (e)Only III and either I or II

Q8. What is the cost of flooring the rectangular hall?
Statements: I. Length of the rectangle is 6 m.Â Â Â Â Â Â Â Â Â Â Â  Â Â II. Breadth of the rectangle is two-third of its length.
III. Cost of flooring the area of 100 cm^2 is RS. 45/-
(a) Only I and IIIÂ Â Â  Â Â Â Â Â Â Â Â Â Â Â Â (b) Only II and IIIÂ Â  Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â (c) All I, II and III
(d) Question cannot be answered with data in all three statements.Â Â Â Â Â Â Â Â Â Â Â  (e) None of these

Direction (9-10):Two equations I and II are given in each question. On the basis of these equations you have to decide the relation between p and q andÂ Give answer:
(a) p = q or If no relation can be decide between p and q.Â Â Â Â Â Â Â Â Â Â Â Â Â  (b) if p>qÂ Â Â Â Â Â Â Â Â Â Â Â Â  (c) if p<qÂ Â Â Â Â Â Â Â Â Â Â Â Â  (d) if pâ‰¥qÂ Â Â Â Â Â Â Â Â Â Â Â Â  (e) if p â‰¤ q

Q9.Â I. Â p^2+13p+40=0Â Â Â Â Â Â Â Â Â Â Â Â Â  II. q^2+7q+12=0

Q10.Â I. Â p=(10)^2Â Â Â Â Â Â Â Â Â Â Â Â Â  II. q^2+q-9900=0

Solution