**Directions (1-5): In each of the following questions, three statements are given, you have to determine that which statement/statements is/are necessary to answer the question.**

**Q1. A sum of money Rs 2550 is to be distributed among A, B and C. What will be the share of B?**

A. A’s share is 1.5 times B’s share,

B. C’s share is half the share of A and B together.

C. The share of A is Rs 340 more than B.

(a) Either A and B together or A and C together are sufficient

(b) Only A and B together are sufficient

(c) Only A and C together are sufficient

(d) All statements are required

(e) Any 2 of the 3 statements are sufficient

**Q2. 40 students sit in rows and columns. How many students are seated in each column?**

A. The number of rows is 62.50% of the number of columns.

B. The number of rows is 5/8 of the number of columns.

C. The number of rows is less than the number of columns.

(a) Only A

(b) C and either A or B

(c) Only B

(d) Either A or B

(e) All the statements are required

**Q3. A boat takes 2 hours to travel from point A to B in still water. To find out the speed of upstream, which of the following information is/are required?**

A. Distance between point A and B.

B. Time taken to travel downstream from B to A.

C. Speed of the stream of water.

(a) All are required

(b) Any one pair of A and B, B and C or C and A is sufficient.

(c) Only A and B

(d) Only A and C

(e) None of these

**Q5. A bag contains balls of only three different colors i.e.; red, yellow and green. 3 balls are drawn randomly. What is the probability that the balls drawn are of three different colors? **

A. The no. of yellow balls is two more than the no. of red balls.

B. The Sum of the no. of yellow and green balls is three times the no. of red balls.

C. The ratio of the no. of red balls to that of green balls is 3 : 4.

(a) A and either B or C

(b) Any two of them

(c) Only A and C together

(d) Question can’t be answered even after using all the information

(e) All statements are required

**Directions (6-10): The following questions are accompanied by two statements (I) and (II). You have to determine which statements(s) is/are sufficient/necessary to answer the questions choose option accordingly.**

(a) Statement (I) alone is sufficient to answer the question but statement (II) alone is not sufficient to answer the questions.

(b) Statement (II) alone is sufficient to answer the question but statement (I) alone is not sufficient to answer the questions.

(c) Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.

(d) Either statement (I) or statement (II) by itself is sufficient to answer the question.

(e) Statements (I) and (II) taken together are not sufficient to answer the question.

**Q6. A bought two articles X and Y at different CP and sold at different SP. By selling one article of both types, whether A is in profit or in loss? **

I. A earns 25% profit on selling 2 articles of X and 50% loss on selling 10 articles of Y and CP of 3 articles of X is equal to SP of 4 articles of Y.

II. Profit earn on selling 3 articles of X is equal to loss occurs on selling 1 articles of Y.

**Q7. What is share of Veer?**

I . Sum of Rs. 3200 is divided among Ayush, Anurag & Veer such that Ayush get Rs. 800, which is 880 less than Anurag.

II . Ayush gets 100% more than Aunrag, who gets Rs. 1000 and Veer received 30% amount received by Ayush & Anurag together.

**Q9. In how many days P, Q & R together complete the work?**

I . P & Q complete the work together in 72 days and R complete the same work alone in 150 days.

II . Q & R together complete the work together in 900/11 days and Q alone complete in 180 days.

**Q10. ‘X’ mark up an article 50% above its cost price. Find the cost price of article.**

I. ‘X’ gave Rs 60 discount on mark price and earn 20% profit.

II. If ‘X’ gave two successive discounts of 10% each then he will earn Rs 43 as profit.

**Solutions**