**Directions (1-5): The following questions are accompanied by three statements A, B and C. You have to determine which statement(s) is/are necessary/sufficient to answer the question.**

**Q1. A shopkeeper sells articles at a certain profit. Find out the amount of profit. **

A. Ratio of the selling price to the cost price of the articles is 5 : 4.

B. If the cost price increases by Rs.500, and selling price remains the same, the profit percentage is decrease by percentage points.

C. If the marked price is kept at Rs.1000 above the cost price and a discount of 15% is given, then the profit percentage is decreased by 18 ¾ percentage points.

(a) Only A and B together

(b) A and either B or C

(c) Only A and C together

(d) All statements are required

(e) None of these

**Q2. Rinku borrowed an amount of Rs.5000 each from Milan and Rahul. What is the rate of interest? **

A. Rinku returned the amount of Rs.5400 after due date to Milan.

B. Rinku returned Rs.5900 to Rahul after due date.

C. Rinku returned the money to Milan by SI, whereas to Rahul by compound interest.

(a) Only A and B together are sufficient

(b) Only B and C together are sufficient

(c) A, B and C together are necessary

(d) Either A and B together or B and C together are sufficient

(e) A, B and C even together are not sufficient

**Q3. What is the speed of boat in still water? **

A. The boat can cover 45 km downstream distance in 3 hours.

B. Speed of the stream is one-fourth the speed of boat in still water.

C. The boat can cover 36 km upstream distance in 4 hours.

(a) Only (A) and (C) together

(b) All the three together

(c) Only (A) and (B) together

(d) Questions can’t be answered even after using all the information

(e) Any two of the three together

**Q4. A train crosses another train in 10 sec. Find out the lengths of the trains. **

A. Ratio between the lengths the of second and first train is 4 : 5.

B. Ratio between the speed of first and second trains is 1 : 2.

C. The speed of first train is 36 km/hr.

(a) Only A and B together

(b) Only B and C together

(c) Only A and C together

(d) Questions can’t be answered even after using all the information

(e) None of these

**Q5. Find the height of an equilateral triangle.**

A. Perimeter of the triangle is equal to the perimeter of the rectangle whose length and breadth are in the ratio of

5 :3.

B. Perimeter of the square is 48 m, which is twice the perimeter of the triangle.

C. Area of the triangle is 16√3 m2.

(a) Any two of them

(b) Any of them

(c) Only C

(d) Either B or C alone

(e) A and either B or C

**Directions (6-10): 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**

**Q6. In a two-digit number, digit at unit place exceeds, the digit in its tens place by 2 and the product of the required number with the sum of its digit is equal to 144. **

**Quantity I:** Value of two digit number

**Quantity** II: 26

(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. Quantity I :** Days after which A and B meet. A and B set out to meet each other from two places 165 km apart. A travels 15 km the first day, 14 km second day, 13 km the third day and so on, B travels 10 km the first, 12 km the second day, 14 km the third day and so on.

**Quantity II:** Number of days required to complete the whole work if A, B and C can complete a piece of work in 10, 12 and 15 days respectively. A left the work 5 days before the work was completed and B left 2 days after A had left.

(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. Quantity I:** Present age of Randy, if 10 years are subtracted from the present age of Randy, then you would get twelve times of the present age of his grandson Sandy and Sandy is 19 years younger to Sundar whose age is 24.

**Quantity II:** Average age of the remaining persons in the group if average age of group of 14 persons is 27 years and 9 months. Two persons, each 42 years old, left the group.

(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. Quantity I:** Percentage profit earned by the shopkeeper if at the time of selling and purchasing he uses weights 10% less and 20% more per kilogram respectively and professes to all goods at 5% profit.

**Quantity II:** ‘x’ ; A book was sold for a certain sum and there was a loss of 20%. Had it been sold for Rs 12 more, there would have been a gain of 30%. ‘x’ would be value of profit percent if the book were sold for Rs 4.8 more than what it was sold for.

(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

**Q10. A group consist of 4 couples in which each of the 4 persons have one **

**Quantity I :** Number of ways in which they could be arranged in a straight line such that the men and women occupy alternate positions

**Quantity II:** Eight times the number of ways in which they be seated around circular table such that men and women occupy alternate position.

(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**