**Directions (1-5): The following questions are accompanied by three statements A, B and C. You have to determine which statement(s) is/are necessary/sufficient to answer the question.**

**Q1. Two friends X and Y entered into a partnership. Find the share of X’s profit.**

**(A) The ratio of the capitals of X and Y is 3 : 5**

**(B) X invested his money for two months more than Y.**

**(C) Y’s share in the total profit is 1000 less than the share of X.**

(a) A and B together

(b) A and C together

(c) Any two of them

(d) All together are necessary

(e) All even together are not sufficient

**Q2. Find the monthly expenditure of a person.**

**(A) His monthly income is 2400.**

**(B) The ratio of his expenditure to his income during the year is 3 : 4**

**(C) His average monthly saving is 600.**

(a) Only A and B together

(b) Only A and C together

(c) Only A and C together

(d) Any two of them

(e) All statements together are required

**Q3. Find the area of a parallelogram.**

**(A) The ratio of the two adjacent sides is m : n.**

**(B) The length of the other diagonal is x.**

**(C) The length of the two adjacent sides are y and z.**

(a) Only B and C together

(b) Only A and C together

(c) All statements together

(d) All two of them

(e) All statements even together are not sufficient

**Q4. A person travels from X to Y and vice versa. How long will it take to travel both the ways by bus?**

**(A) It takes 15 hours in travelling from X to Y by train and returning by bus.**

**(B) The distance between two places is 360 km.**

**(C) He can save 3 hrs if he travels both the ways by train.**

(a) A and B together

(b) B and C together

(c) A and C together

(d) Any two of them

(e) All statements are required

**Q5. What is the in radius of a right-angled triangle?**

**(A) The area of the triangle is known.**

**(B) Any two sides of the triangle are known.**

**(C) The perimeter of the triangle is known.**

(a) Only B

(b) Only A and C together

(c) Any of them

(d) Either B alone or A and C together

(e) All together are necessary

**Directions (6-10): Study the following table carefully and answer accordingly: The following table shows the marks obtained by six students in six different subject. Marks within brackets show the total marks.**

**Q6. In which of the following subjects did Rishab get the least percentage of marks?**

(a) Economics

(b) Geography

(c) Computer

(d) Physics

(e) None of these

**Q7. What is the average percentage of marks obtained by Shreya?**

(a) 67.70%

(b) 60%

(c) 72%

(d) 55%

(e) None of these

**Q8. Which student has shown the best performance?**

(a) Geetanjali

(b) Arpita

(b) Mehra

(d) Rishab

(e) None of these

**Q9. Find the ratio of the marks obtained by Arpita in Economics to that by Shreya in Maths.**

(a) 1 : 4

(b) 2 : 5

(c) 2 : 3

(d) 3 : 4

(e) None of these

**Q10. Who has secured 60% marks in Physics?**

(a) Shreya

(b) Arpita

(c) Geetanjali

(d) Rishab

(e) None of these

**Directions (11-15): What should come in place of question mark (?) in the following number series?**

**Q11. 4 10 30 ? 420 2110**

(a) 105

(b) 102

(c) 104

(d) 108

(e) 109

**Q12. 50 25 ? 37.5 75 187.5**

(a) 20

(b) 40

(c) 25

(d) 22

(e) 26

**Q13. 18 55 167 504 ? 4553**

(a) 1516

(b) 1416

(c) 1316

(d) 1616

(e) 1716

**Q14. 318 158 ? 38 18 8**

(a) 68

(b) 78

(c) 58

(d) 48

(e) 55

**Q15. 5 36 ? 1093 4376 13133**

(a) 74

(b) 515

(c) 218

(d) 219

(e) 220

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