**Directions (1-5): Line chart given below shows time taken by five different persons to complete a work ‘M’ alone. Ratio of efficiency of all five persons remain same throughout any work. Study the data carefully and answer the following questions.**

**Q1. All five starts working together to complete work ‘X’. ‘Veer’ left after 8 days. Work done by ‘Bhavya’ is same as work done by ‘Neeraj’ while ‘Abhi’ and ‘Neeraj’ worked for same time. ‘Satish’ worked for ‘y’ days. If ‘Bhavya’, ‘Neeraj’ and ‘Satish’ together can complete work ‘X’ in 24 days then find the value of ‘y’ if Bhavya worked for starting 10 days.
**(a) 7 days

(b) 9 days

(c) 11 days

(d) 13 days

(e) 15 days

**Q2. Abhi and Neeraj together can complete work ‘Z’ in (A + 42) days while Bhavya and Satish together can complete work ‘Z’ in (A + 15) days. All start the work Z such that ratio between work done by Abhi, Bhavya and Veer is 1 : 2 : 3, while ratio between days, Neeraj, Satish and Veer worked is 2 : 2 : 1. Find how many days ‘Bhavya’ worked.
**(a) 10 days

(b) 15 days

(c) 20 days

(d) 30 days

(e) 40 days

**Q3. All five persons started together to complete work ‘Y’. Veer worked for starting 6 days and left the work. After 3 days more both Bhavya and Satish left too. Remaining 40% work should be completed by Abhi and Neeraj together but ‘Abhi’ left after ‘x’ days. Remaining work is completed by ‘Neeraj’ in ‘z’ days. If ‘z – x = 3’, then number of days for which ‘Neeraj’ worked is what percent more than number of days for which ‘Abhi’ worked.
**(a) 33⅓%

(b) 50%

(c) 66⅔%

(d) 75%

(e) 100%

**Q4. Abhi, Bhavya and Neeraj together starts to do work ‘M’. After 7 days ‘Neeraj’ left and after 3 days more ‘Abhi’ and ‘Bhavya’ left. Remaining work is completed by Satish and Veer working alternatively in ‘y’ days. If ‘y’ is integer then find ‘Veer’ worked for how many days?
**(a) 3 days

(b) 4 days

(c) 5 days

(d) 6 days

(e) Cannot be determined

**Q5. Abhi, Bhavya and Satish starts working together to complete work ‘M’. After 5 days, Bhavya and Satish replaced by Neeraj and Veer. After 5 more days Abhi left the work. After 1 more day Veer left too. Neeraj worked for total ‘x’ days. In other case Abhi and Bhavya starts working together to complete ‘M’. After 4 days both are replaced by Veer. Veer worked for 5 days and replaced by Satish who worked for 8 days. Remaining work is completed by Neeraj in ‘y’ days. Find (y-x)²?
**(a) 25

(b) 36

(c) 49

(d) 64

(e) 81

**Directions (6-10):** **Neeraj have some toys which are in the form of different structures. These are cylindrical, conical, spherical. Other than solid conical structure, all two are of both types i.e., hollow as well as solid.**

→ Volume of a conical toy is three times of the volume of a solid cylindrical toy while radius of a solid spherical toy is half than that the radius of a conical toy. Outer radius of hollow cylindrical toys is same as radius of solid spherical toy while average of outer radius and inner radius of hollow cylindrical toys is equal to radius of solid cylindrical toy. Height of cylindrical, conical and hollow cylindrical toys is same i.e, 14c.m

→ Number of solid spherical toys is 20% of total number of toys Neeraj have. Number of hollow spherical toys is 150% more than number of conical toys. Ratio between number of solid cylindrical toys to number of conical toys is 3 : 2. Total number of hollow cylindrical toys is 40% of total number of toys Neeraj have and also ‘20’ more than the total number of solid spherical toys Neeraj have.

→ Volume of a hollow spherical toy is 33,957 cm² whose inner radius is half of its outer radius. Volume of a hollow spherical toy is 5.25 time of volume of conical toy.

**Q6. Find the total space taken by all solid spherical toys? (in cm³)
**(a) 97020

(b) 48510

(c) 72765

(d) 14553

(e) 24255

**Q7. Find the number of conical toys Neeraj have?
**(a) 40

(b) 20

(c) 15

(d) 12

(e) 8

**Q8. Find the curved surface area of one hollow cylindrical toy? (in cm****²)
**(a) 616

(b) 1232

(c) 924

(d) 462

(e) 1386

**Q9. Find the ratio between outer radius of hollow spherical toy to radius of solid cylindrical toy?
**(a) 4 : 1

(b) 3 : 2

(c) 3 : 1

(d) 4 : 3

(e) 2 : 1

**Q10. Volume of one hollow cylindrical toy is how much more then volume of one cylindrical toy?(in cm³)
**(a) 4312

(b) 3234

(c) 2696

(d) 2156

(e) 1078

**Solutions**

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