**Direction (1 – 10): 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. The ratio between length and breadth of rectangle is 7: 4 and perimeter of rectangle is 88 cm.**

**Quantity I –** Perimeter of square

Side of square is 6 cm less than length of rectangle.

**Quantity II –** Circumference of the circle

Radius of circle is 2 cm less than breadth 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

**Q2. Train ‘P’ running at the speed of 72 km/hr cross a man who running in opposite direction at the speed of 9 km/hr in 20 sec.**

**Quantity I –** Length of platform

Length of train ‘Q’ is 70 meter more than that of train ‘P’ and is running at the speed of 90 km/hr and crosses a platform in 40 sec.

**Quantity II –** 520 m

(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

**Q6. (X – 4) men can complete a work in 5 days while (X + 5) men can complete the same work in 4 days. (Y – 15) women can complete a work in 6 days while (Y + 15) women can complete the same work in 3 days. **

**Quantity I: Value of ‘X’**

**Quantity II: Value of ‘Y’**

(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

**Q7. A and B starting a business together. B invested 60% more than that of A. Ratio of time period of investment of A and B is 8 : 9. **

**Quantity I:** A’s share of profit out of total profit of Rs. 25,200.

**Quantity II;** B’s share of profit out of total profit of Rs. 14,000.

(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

**Q8. Rs. ‘2X’ was invested half in scheme ‘A’ which offers 20% p.a. at S.I. while half in scheme ‘B’ which offer 10% p.a. at C.I. Total interest earned after 2 years is Rs. 4880. **

**Quantity I:** Rs. (X + 2000)

**Quantity II:** 1.25X

(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

**Q9. The probability of choosing two yellow balls out of eight balls in which three balls are red and five balls are yellow is ‘X’. **

**Quantity I:** 8/27

**Quantity II:** X

(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

**Solutions**