**Directions (1-4): Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and **

**Give answer: **

**(a) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the questions.**

**(b) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.**

**(c) If the data in statement I alone or in statement II alone are not sufficient to answer the question. **

**(d) If the data in both the statements I and II are not sufficient to answer the question.**

**(e) If the data in both the statements I and II together are necessary to answer the question.**

**Q1. In how many days will five women complete a work?**

- Two women, five boys and three men together complete the work in six days.
- Eight women complete the same work in twelve days.

**Q2. What will be Shyam’s age after 6 years?**

- The ratio between Ram’s and Shyam’s present age is 4 : 3 respectively.
- Ram is seven years older than Shyam.

**Q3. What is the average speed of a car?**

- The average speed of the car is five times the average speed of a truck whereas the average speed of a bus is 45 km/hr.
- The average speed of the truck is half the average speed of a train whereas the average speed of a jeep is 40 km/hr.

**Q4. By selling a product at 20% profit, how much profit was earned?**

- The difference between cost and selling price is Rs. 40/-
- The selling price is 120% of the cost price.

**Q5. A bag contains 7 blue balls and 5 yellow balls. If two balls are selected at random, what is the probability that none is yellow?**

(a) 5/35

(b) 5/22

(c) 7/22

(d) 7/33

(e) 7/66

**Q6. A dice is thrown twice. What is the probability of getting a sum 7 from both the throws?**

(a) 5/18

(b) 1/18

(c) 1/9

(d) 1/6

(e) 5/36

**Directions (7-10): Study the information carefully to answer the following questions.**

**An orgnisation consists of 1500 employees. The ratio of males to females in 17 : 13. All the employees work at five different levels named I, II, III, IV and V. 28% of females are at level I. 18% of the males work at level II. One-fifth of the males work at level V. The ratio of females to males at level II is 2 : 3. 25% of the total number of employees are at level III. Females working at level V are 60% of the males working at the same level. 18% of the females are at level IV. The remaining females are at level III. 16% of the males work at level I and the remaining males are working at level IV.**

**Q7. What is the number of males working at level III?**

(a) 136

(b) 228

(c) 253

(d) 163

(e) 270

**Q8. Number of males working at level IV forms what percent of the number of females working at the same level? (rounded off to two digits after decimal)**

(a) 145.52%

(b) 169.12%

(c) 123.42%

(d) 150.62%

(e) 139.32%

**Q9. What is the number of females working at level V?**

(a) 147

(b) 182

(c) 117

(d) 102

(e) None of these

**Q10. Number of males working at level I forms approximately what per cent of total number of the employees in the organisation?**

(a) 9%

(b) 13%

(c) 18%

(d) 22%

(e) 28%

**Directions (11-15): In the following questions two equations numbered 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**

**(d) If x≤y**

**(e) If x=y or the relationship cannot be established **

Q11.

- x
^{2}+x-20=0 - y
^{2}-y-30=0

Q12.

- 225x
^{2}-4=0 - √225 y+2=0

Q13.

- 4/√x + 7/√x = √x
- y
^{2}-(11)^{5/2}/√y=0

Q14.

- x
^{2}-10x+24=0 - y
^{2}-9y+20=0

Q15.

- (x)
^{2}=961 - y=√961

Answers

1. b

2. e

3. d

4. a

5. c

6. d

7. b

8. e

9. d

10. a

11. e

12. b

13. e

14. e

15. d