**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. ⅖th of P is equal to ¼ th of Q and 37 ½ % of (P + Q) is equal to 234.**

**Quantity** I: What will be difference between P & Q.

**Quantity** II: 144.

(a) Quantity I > Quantity II

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I = Quantity II or no relation

(e) Quantity I≤ Quantity II

**Q2. A man invested Rs. P in a scheme offering 20% p.a. at CI compounding annually, at the end of two years interest received by him is Rs.7040.**

**Quantity** I: Find value of P (in Rs.).

**Quantity** II: Rs.20000

(a) Quantity I < Quantity II

(b) Quantity I > Quantity II

(c) Quantity I = Quantity II or no relation

(d) Quantity I ≥ Quantity II

(e) Quantity I≤ Quantity II

**Q3. Quantity I:** If the radius and height of a cylinder is increased by 25% and 30%, then find out the percent change in its lateral surface area respectively.

**Quantity** II: 62.5%

(a) Quantity I = Quantity II or no relation

(b) Quantity I > Quantity II

(c) Quantity I < Quantity II

(d) Quantity I ≥ Quantity II

(e) Quantity I≤ Quantity II

**Q4. A bag contains x blue balls and 5 pink balls. When two balls are drawn randomly from the bag, then the probability of getting 2 pink balls is 5/33.**

**Quantity I:** Find x.

**Quantity** II: 6

(a) Quantity I = Quantity II or no relation

(b) Quantity I > Quantity II

(c) Quantity I < Quantity II

(d) Quantity I ≥ Quantity II

(e) Quantity I≤ Quantity II

**Q5. Three years ago, the difference between the ages of Ajay and Vijay was 6 years. 10 years hence, ratio of ages of Ajay and Vijay will be 11 : 14 respectively.**

**Quantity I:** Find the present age of Vijay.

**Quantity** II: 20 years.

(a) Quantity I = Quantity II or no relation

(b) Quantity I > Quantity II

(c) Quantity I < Quantity II

(d) Quantity I ≥ Quantity II

(e) Quantity I≤ Quantity II

**Directions (6-10):- Each of the following questions is provided with 2 statements i.e. Statement I & Statement II. You have to study them and find which statement (s) is/are necessary to answer the question as per the instruction set given below.**

(a) Only Statement I is sufficient

(b) Only Statement II is sufficient

(c) Neither Statement I nor Statement II is sufficient

(d) Either Statement I or Statement II is sufficient

(e) Both Statement I & Statement II together is sufficient

**Q6. What is speed of car? **

**Statement** I: Car can cover a distance of 100 km in 2 hour.

**Statement** II: Speed of bike is 20 kmph which is 40% of speed of car.

**Q7. What is length of platform? **

**Statement** I: a train covers the platform in 20 sec.

**Statement** II: the length of train is 50% of length of platform.

**Q8. What is ratio of boys to girls in the class?**

**Statement** I: total students in class are 100.

**Statement** II: boys are 20% more than girls.

**Q9. What is present salary of Sanjay?**

**Statement **I: Sanjay saves Rs. 500 which is 10% of his salary.

**Statement** II: Sanjay spends Rs. 2000 more than he saves.

**Q10. What is present population?**

**Statement** I: the population last year was 1000.

**Statement** II: population increases by 10% every year.

**Solutions**

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