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**Directions (1-5) : Each question below contains a statement followed by Quantity I and Quantity II. Find the value of both to find the relationship among them. Mark your answer accordingly.**

1.The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36.

**Quantity I**: What is the difference between the two digits of that number?**Quantity II**: What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2?

a. Quantity I> Quantity II

b. Quantity I ≥ Quantity II

c. Quantity II ≤ Quantity I

d. Quantity I = Quantity II or Relation cannot be established

2. Through T, the mid-point of the side QR of a triangle PQR, a straight line is drawn to meet PQ produced to S and PR at U, so that PU= PS

**Quantity I**: If length of UR=2 units then the length of QS is ?**Quantity II**:2√2 units

a. Quantity I> Quantity II

b. Quantity I ≥ Quantity II

c. Quantity II> Quantity I

d. Quantity II ≤ Quantity I

e. Quantity I = Quantity II or Relation cannot be established

3. The dimensions of a certain machine are 48″ X 30″ X 52″. If the size of the machine is increased proportionately until the sum of its dimensions equals 156″.

**Quantity I**: What will be the increase in the shortest side?**Quantity II**: If sum of its dimensions is decreased by 8” from 156”, then what will be the increase in the longest side?

a. Quantity II> Quantity I

b. Quantity I ≥ Quantity II

c. Quantity I> Quantity II

d. Quantity II ≤ Quantity I

e. Quantity I = Quantity II or Relation cannot be established

4.A wooden door wedge is in the shape of a sector of a circle of radius 10 cm with angle 24 degree and constant thickness 3 cm.

**Quantity I**: Find the volume of wood used in making the wedge.**Quantity II**: 20 π cm^3

a. Quantity II> Quantity I

b. Quantity I ≥ Quantity II

c. Quantity I> Quantity II

d. Quantity II ≤ Quantity I

e. Quantity I = Quantity II or Relation cannot be established

5. The cost of Type 1 material is Rs. 15 per kg and Type 2 material is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3.

**Quantity I**: What is the price per kg of the mixed variety of material?**Quantity II**: What is the price per kg of the mixed variety of material if both Type 1 and Type 2 are mixed in the ratio of 3 : 2?

a. Quantity II> Quantity I

b. Quantity I ≥ Quantity II

c. Quantity I> Quantity II

d. Quantity II ≤ Quantity I

e. Quantity I = Quantity II or Relation cannot be established

**Direction (6-10): Each of these questions is followed by three statements. You have to study the question and all the three statements given to decide whether any information provided in the statement(s) is redundant and can be dispensed with while answering the given question.**

6.At what time will the train reach city X from city Y?

**Statement I**: The train crosses another train of equal length of 200 metres and running in opposite directions in 15 seconds.**Statement II**: The train leaves city Y and 7.15 a.m. for city X situated at a distance of 558 km.**Statement III**:The 200 metres long train crosses a signal pole in 10 seconds.

a. I only

b. II only

c. III only

d. II and III only

e. All I, II and III are required

7. How much did Rohit get as profit at the year-end in the business done by Nitin, Rohit and Kunal?

**Statement I**:Kunal invested Rs. 8000 for nine months, his profit was 3/2 times that of Rohit’s and his investment was four times that of Nitin.**Statement II**: Nitin and Rohit invested for one year in the proportion 1 : 2 respectively.**Statement III**: The three together got Rs. 1000 as profit at the year end

a. Only I and II

b. Only I and III

c. Question cannot be answered even with the information in all the three statements

d. All I, II and III

e. None of these

8. What was the percentage of discount given?

**Statement I**:23.5% profit was earned by selling a TV for Rs. 12,350.**Statement II**: If there were no discount, the earned profit would have been 30%.**Statement III**: The cost price of the TV was Rs. 10,000.

a. Only I and II

b. Only II and III

c. Only I and III

d. Any two of the three

e. None of these

9. In how many days can 10 women finish a work?

**Statement I**:10 men can complete the work in 6 days.**Statement II**: 10 men and 10 women together can complete the work in 3 3/7 days**Statement III**:If 10 men work for 3 days and thereafter 10 women replace them, the remaining work in completed in 4 days

a. Any two of the three

b. I and II only

c. II and III only

d. I and III only

e. None of these

10.What is the capacity of the cylindrical tank?

**Statement I**:The area of the base is 61,600 sq. cm.**Statement II**:The height of the tank is 1.5 times the radius.**Statement III**: The circumference of base is 880 cm<

a. Only I and II

b. Only II and III

c. Only I and III

d. Any two of the three

e. Only II and either I or III

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