**Directions (1-5): In the given questions, two quantities are given, one as ‘Quantity I’ and another as ‘Quantity II’. You have to determine relationship between two quantities and choose the appropriate option:**

**Q1. Ratio of age of Anurag and Bhumi is 6 : 7 and Dharmendra : Ekta is 9 : 5. Ratio of average age of Anurag, Bhumi, Dharmendra& Ekta to age of Chiru is 9 : 10**

**Quantity I-** If ratio of age of Bhumi and Dharmendra is 7 : 9 and age of Chiru is 6 years less than age of Dharmendra, then age of Chiru.

**Quantity II –** If ratio of age of Bhumi and Dharmendra is 7 : 9 and age of Chiru is 6 years less than age of Dharmendra, Average age of Anurag& Dharmendra.

(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 no relation

**Q2. Two vessels A & B contains (x + 16) ℓ and (x + 56) ℓ mixture of milk and water respectively. If 20% from mixture from vessel A &46⅔% mixture from Vessel B taken out remaining mixture in both vessels become equal.**

**Quantity I –** If ratio of milk to water in vessel A & B is 5 : 3 & 7 : 5 respectively, then total quantity of milk in both vessel.

**Quantity II –** 140% of total quantity of mixture in vessel A.

(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 no relation

**Q3. Radius of cone is 4 cm less than side of square of which area is 324 cm². Height of cone is 5 cm more than radius of circle, whose circumference is 44 cm.**

**Quantity I –**Volume of cone.

**Quantity II –**2488 cm³

(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 no relation

**Q4. Quantity I –**x² – 21x + 108 = 0

**Quantity II –** x² – 30x + 216 = 0

(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 no relation

**Q5. 240 meters & 210 meters long trains running in opposite direction cross each other in 6 sec. Ratio between speed of longer train and smaller train is 7 : 8 and faster train cross a platform in 9 sec.**

**Quantity I –** Time taken (in sec) by slower train to cross a bridge, which is 60 meters longer than platform.

**Quantity II –**16 sec

(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 no relation

**Directions (6-10): Each of the following question is followed by two statements I, and II. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.**

(a) Only Statement I alone.

(b) Only Statement II alone.

(c) Both Statements I and II together.

(d) Neither Statement I nor II is sufficient.

(e) Either Statement I or II alone.

**Q6. What is the time taken by Saif to cover a distance of 100 km by car?**

I. Saif covers a distance of 100 km in 5 hours using bike.

II. speed of bike and that of car is in ratio 5:7.

**Q7. In how much time can Deepika do the work alone?**

I. Kareena & Deepika can complete a piece of work in 10 days working together.

II. Madhuri and Kareena can complete the work in 6 days working together.

**Q8. In how many ways can 4 boys and 5 girls be selected?**

I. there are 20 persons (boys + girls) in the group out of which 12 are boys.

II. the ratio of boys to girls in the group is 3:2.

**Q9. What is the volume of conical tent?**

I. the height and radius of tent is in ratio 4:3, where sum of radius and height is 14m.

II. the slant height is 13 cm while radius is 5 cm.

**Q10. Find the value of a and b?**

I. a:b = 3:2

II. a³- b³=19

**Directions (11-15): The following questions are accompanied by two Quantities I and II. You have to determine relationship between both the quantities and choose an answer from given five options below:**

(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 No relation

**Q11. A solid body is to be packed in a cuboidal box. **

Quantity I – Minimum volume of cuboidal box used for packaging, if solid body is sphere of radius 5 cm.

Quantity II – Minimum volume of cuboidal box used for packaging, if solid body is hemisphere of diameter 13 cm.

**Q12. Quantity I–** x: 6x² + 5x + 1 = 0

**Quantity II–** y: 20y² + 9y + 1 = 0

**Q13. Quantity I –** Twenty-four men can complete a work in sixteen days while Thirty-two women can complete the same work in twenty-four days. Sixteen men and sixteen women started working and worked for twelve days. Extra no. of men is to be added to complete the remaining work in 2 days.

**Quantity II –** Number of ways in which letters of word ‘ETEQUETTE’ be arranged so that consonants occupy only odd positions.

**Q14. Quantity I–** x: 2x² – 7x + 6 = 0

**Quantity II–** y: 2y² – y– 1= 0

**Q15. Quantity I–**Raj invested Rs. 15000 in scheme ‘A’ at rate of 18% p.a. simple interest for 3 years and Riya invested Rs. 18000 in scheme ‘B’ which offers 15% p.a. compound interest in 2 years. The difference between the interest earned in two schemes.

**Quantity II–**In 2017, A village consist of males and females in the ratio of 5: 4. If the

difference between number of males and number of females in the year 2017 is 990 and population increases by 10% every year. Number of males in 2018 if the ratio between males and females remains same every year?

**Solutions**