**Directions (1-4): The following questions are accompanied by two statements I and II. You have to determine which statements(s) is/are sufficient/necessary to answer the questions. **

**Q1. Find the sum of present age of X & Z? **

I. Four years ago, average age of X, Y and Z was 16 years while age of X, Y and Z is in arithmetic progression.

II. Average of present age of X and Z is same as present age of Y while Y is four years younger than Z.

(a) Statement I alone is sufficient to answer the question but statement II alone is not sufficient to answer the question.

(b) Statement II alone is sufficient to answer the question but statement I alone is not sufficient to answer the question.

(c) Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.

(d) Either statement I or statement II by itself is sufficient to answer the question.

(e) Statements I and II taken together are not sufficient to answer the question.

**Q2. Is Rahul meet Prabhat at half of the distance on a circular track (48km) if they both started to move at same time in same direction? **

I. Speed of Prabhat is 24km/hr more than speed of Rahul.

II. Prabhat’s speed is 200% more than that of Rahul

(a) Statement I alone is sufficient to answer the question but statement II alone is not sufficient to answer the question.

(b) Either statement I or statement II by itself is sufficient to answer the question.

(c) Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.

(d) Statement II alone is sufficient to answer the question but statement I alone is not sufficient to answer the question.

(e) Statements I and II taken together are not sufficient to answer the question.

**Q3. Find number of yellow balls in a box which contains 3 black balls and 7 red and yellow balls. **

I. Probability of selecting two yellow balls from the box is 2/15

II. Probability of selecting one red and black ball is 1/5.

(a) Statement I alone is sufficient to answer the question but statement II alone is not sufficient to answer the question.

(b) Statement II alone is sufficient to answer the question but statement I alone is not sufficient to answer the question.

(c) Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.

(d) Either statement I or statement II by itself is sufficient to answer the question.

(e) Statements I and II taken together are not sufficient to answer the question.

**Q4. Find number of pens sold by retailer if he earns total 37.5% profit on selling some pens and some pencils. **

I. Ratio between pen sold to pencil sold is 2 : 3 while ratio between cost price of pen to pencil is 3 : 2.

II. On selling a pen and a pencil, he earns 25% and 50% profit respectively.

(a) Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.

(b) Statements I and II taken together are not sufficient to answer the question.

(c) Statement II alone is sufficient to answer the question but statement I alone is not sufficient to answer the question.

(d) Statement I alone is sufficient to answer the question but statement II alone is not sufficient to answer the question.

(e) Either statement I or statement II by itself is sufficient to answer the question.

**Q5. Find the share of Satish in profit after one year among Satish, veer and Yogesh**

A. Investment of Veer, Satish and Yogesh is in the ratio 6: 8: 9 and share of Yogesh in profit is Rs.900

B. Satish and Veer invested Rs.8000 and Rs.6000 for 9 months and one year respectively. Difference b/w profit earned by Satish and Veer is Zero.

C. Satish, Veer and Yogesh invested for 9 months, 1 year and 8 months respectively and share of Veer in profit is 900.

(a) Either A and B or B and C

(b) Either A and B or A and C

(c) Any two of them

(d) Either B alone or A and C together

(e) Either A and C or B and 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 wife. **

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**