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**Q(1-5). Each question contains Quantity I and Quantity II. Find relationship between both the quantities.**

**Quantity I: Cost of flooring, if a Circle having diameter of 378m with cost of flooring for one sq m is Rs.2**

**Quantity II: Cost of flooring, if a square having diagonal of 474m with cost of flooring for one sq m is Rs.2**

A. Quantity I > Quantity II

B. Quantity I < Quantity II

C. Quantity I ≥ Quantity II

D. Quantity I ≤ Quantity II

E. Quantity I = Quantity II or relationship cannot be established

**B. Quantity I < Quantity II**

Solution:

Quantity I : 22/7*189*189*2 = 224532

Quantity II : 474*474 = 224676**Quantity I: Age of Son, if Mother’s age will be same as Father’s present age after 6 years. Son’s age is half of Mother’s present age. Father’s Present age is 42.**

**Quantity II: Age of Son, if Fathers age is 42 Mother’s age is 30 and Son’s is age ¼ of sum of Father and Mother’s age**

A. Quantity I > Quantity II

B. Quantity I < Quantity II

C. Quantity I ≥ Quantity II

D. Quantity I ≤ Quantity II

E. Quantity I = Quantity II or relationship cannot be established

**E. Quantity I = Quantity II or relationship cannot be established**

Solution:

Quantity I: Mother age = 42-6 = 36 Son = 18

Quantity II : 42+30/4 = 18**Quantity I: Interest after 2 years, if Rs.2500 is compounded annually at the rate of 8%**

**Quantity II: Interest rate after 2 years, if Rs 3500 is compounded annually at the rate of 6%**

A. Quantity I > Quantity II

B. Quantity I < Quantity II

C. Quantity I ≥ Quantity II

D. Quantity I ≤ Quantity II

E. Quantity I = Quantity II or relationship cannot be established

**B. Quantity I < Quantity II**

Solution:

Quantity I: 2500(1+8/100) 2 – 2500 = 416

Quantity II: 3500(1+6/100) 2 – 3500 = 432.6**Quantity I: Speed in Still Water, if Speed of Downstream is 36Km/hr and Speed of Upstream is 24Km/hr**

**Quantity II: Speed in Still Water, if boat covers distance of 36Km Down Stream in 1 hour and rate of current is 7 Km/hr**

A. Quantity I > Quantity II

B. Quantity I < Quantity II

C. Quantity I ≥ Quantity II

D. Quantity I ≤ Quantity II

E. Quantity I = Quantity II or relationship cannot be established

**A. Quantity I > Quantity II**

Solution:

Quantity I: 30 Km/hr.

Quantity II: 29 Km/hr**Quantity I: Profit of Ramu, if Ramu invested Rs 5000 and Ravi invested Rs. 4000 at the start of business after 6 Months Ramu withdraws Rs.1000 from his investment.What is the total profit made by X at the end of the year?**

**Quantity II: Profit of Ramu, if Ramu invested Rs 4000 and Ravi invested Rs.5000 at the start of business after 6 Months Ramu added Rs.1000 to his investment. What is the total profit made by X at the end of the year?**

A. Quantity I > Quantity II

B. Quantity I < Quantity II

C. Quantity I ≥ Quantity II

D. Quantity I ≤ Quantity II

E. Quantity I = Quantity II or relationship cannot be established

**A. Quantity I > Quantity II**

Solution:

Quantity I: Ramu = 9/17*X

Quantity II: Ramu = 9/19*X

**Q(6-10) Study the given table and answer the following questions.**

**What is the total no of Males and Females in all States together?**

A. 2341198

B. 2351398

C. 2361398

D. 2251398

E. None

**B. 2351398**

Solution:

220626+211246+263714+233072+274404+239792+200498+230220+230940+246886 = 2351398**In which of the following state No of Adult Males is highest?**

A. Nagaland

B. Sikkim

C. Tripura

D. Manipur

E. Meghalaya

**E. Meghalaya**

Solution:

Nagaland: 220626*11/17 = 142758

Sikkim: 211246*5/7 = 150890

Tripura: 263714*7/11 = 167818

Manipur: 233072*5/8 = 145670

Meghalaya: 274404*8/13 = 168864**No of Male Children in Nagaland is approximately what percent of the total population in Nagaland**

A. 13%

B. 15%

C. 17%

D. 19%

E. None

**C. 17%**

Solution:

Male Children: 77868

Total Population: 220626+239792 = 460418

% = 77868/460418 = 17%**What is the difference between total no of Female Children in Sikkim and Tripura together and total No of Adult Females in Manipur and Meghalaya together?**

A. 185430

B. 185630

C. 185460

D. 186430

E. None

**A. 185430**

Solution:

Female Children in Sikkim and Tripura: 200498*6/17 + 230220*4/15 = 132156

Adult Females in Manipur and Meghalaya : 230940*7/10+246886*12/19 = 161658+155928 = 317586

Difference = 185430**Difference between Male children and female children is highest in which State?**

A. Nagaland

B. Sikkim

C. Tripura

D. Manipur

E. Meghalaya

**C. Tripura**

Solution:

Nagaland: 220626*6/17 – 239792*5/14 = -7772

Sikkim: 211246*2/7 – 200498*6/17 = -10408

Tripura: 263714*4/11 – 230220*4/15 = 34504

Manipur: 233072*3/8 – 230940*3/10 = 18120

Meghalaya: 274404*5/13 – 246886*7/19 =14442

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