Table of Contents

**Directions (1-8): 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. A mixture of sugar contains two types of sugar ‘A’ & ‘B costing Rs.45/kg & Rs.60/kg in the ratio of 2 : 3 respectively. If 8 kg of sugar costing Rs.45/kg added in mixture, then the ratio of costing Rs.45/ kg of sugar to costing Rs.60/kg sugar becomes 6 : 5.
**

**Quantity I – Find total cost of initial mixture.**

**Quantity II – If Veer invested Rs. 5300 on CI at the rate of 12% p.a., then find total interest got by Veer at the end of two years.**

(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. The area of the base of the rectangular tank, whose longer side is 150% more than smaller side, is 1440 m ^{2} and the tank contains 10800 m^{3} of water.**

**Quantity I – Total surface area of tank, if tank opened from upper side.**

**Quantity II – Perimeter of a rectangle is 48 m less than that of a square, and side of square is 72 m. If ratio of length to breadth of rectangle is 3 : 1, then find area of rectangle.**

(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. Age of P is 200% more than age of Q, while age of R is 9/16th of age of P and average age of P & R is 37.5 years.
**

**Quantity I – If age of A is 2/3rd of age of P and ratio of age of R to B is 9 : 13, then find the difference between age of A & B.**

**Quantity II – Ratio of age of A & B is 7 : 5 and B & C is 5 : 9. Average age of A , B & C is 21 years,. If age of X is five years more than age of A , then find difference between age of X & B.**

(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. Ratio of age of A and B is 6 : 7 and D : E is 9 : 5. Ratio of average age of A, B, D & E to age of C is 9 : 10
**

**Quantity I- If ratio of between age of B and D is 7 : 9 and age of C is 6 years less than age of D, then age of C.**

**Quantity II – If ratio of between age of B and D is 7 : 9 and age of C is 6 years less than age of D, Average age of A & D.**

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or no relation

**Q5. 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.**

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or no relation

**Q6. Radius of cone is 4 cm less than side of square, which area is 324 cm ^{2}. Height of cone is 5 cm more than radius of circle, which circumference is 44 cm.
**

**Quantity I – Volume of cone.**

**Quantity II – 2488 cm**

^{3}

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or no relation

**Q7.** **Quantity I – x² – 21x + 108 = 0
**

**Quantity II – x² – 30x + 216 = 0**

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or no relation

**Q8. 240 meters & 210 meters long train 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**

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or no relation

**Directions (9-13): 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.**

**Q9. Quantity I:– A train can cover 60km in 45 min. The distance covered by train in 3 hours.
**

**Quantity II:– Two trains are moving towards each other with speed of 40 km/h and 80 km/h. They meet after 6 hour journey then difference of distance covered by both the trains.**

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or no relation

**Q10. Quantity I:– In a class total no. of students are 500. Average marks of boys is 42 and average marks of girls and class are 38, 40 respectively. No of boys in that class.
**

**Quantity II:– Average of five numbers is 375. Average of first two numbers is 150 and average of last two numbers is 650, third number is.**

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or no relation

**Q11. Quantity I:– A shopkeeper blends two type of Rice costing 28 Rs./kg and 35 Rs./kg and Ratio of quantity of costing 28 Rs./kg to quantity of 35 Rs./kg in mixture is 3 : 4. Average cost per kg of mixture.
**

**Quantity II:– A shopkeeper gives 10% discount and gains 10%. If cost price is Rs 18. His market price is.**

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or no relation

**Q12. Quantity I:– A square of side 7/2 meter is bent into form of a circle. Area of circle.
**

**Quantity II:– A cylinder of height 7 meter and radius of base is 50 centimeter curved surface area of cylinder is.**

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or no relation

**Q13. Quantity I:– 14x² – 31x = –12
**

**Value of x.**

**Quantity II:– 14y² – 13y = –3**

**Value of y**

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or no relation

**Directions (14 -15): In the given questions, two quantities are given, one as ‘Quantity I’ and another as ‘Quantity II’. You must determine relationship between two quantities and choose the appropriate option****:**

**Q15. Quantity I – How many four-digit numbers can be formed from digits 0, 2, 4, 6, 5, 1 such that each number is divisible by 5 and no repetition is allowed.
**

**Quantity II – Ratio between 25% of ‘a’ and 20% of ‘b’ is 9 : 11 respectively. If ‘c’ is 15 more than ‘b’ , then ratio of ‘a’ and ‘c’ becomes 3 : 5. Find ‘b’.**

(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

**Practice More Questions of Quantitative Aptitude for Competitive Exams:**

Solutions

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