**Directions (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**

(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 can’t be established.

**Q1. Quantity I:** Find the time taken by 120 m long train running at 72 kmph to cross the platform of length 90 m? (in sec)

**Quantity II:** 10 seconds

**Q2. Quantity I:** Rs.100

**Quantity II:** A shopkeeper sold an item at Rs.540 while the difference between marked price and cost price is Rs.50. Find the profit or loss, if the item was marked up by 10% above cost price? (in Rs.)

**Q3. Quantity I:** The probability of getting a sum, which is greater than 9, if two dices are thrown simultaneously.

**Quantity II:** 1/6

**Q4. Quantity I:** 12.5 km

**Quantity II:** Find the distance travelled by the boat in 2 hours in upstream, if the same boat covers a distance of 60 km in 5 hours in still water and the downstream speed is 18 kmph? (in km)

**Q5. Quantity I:** The ratio of ages of A to B 12 years from now will be 7:5. Find the present age of B, if A’s and B’s respective ratio of present ages is 3:1. (in years)

**Quantity II:** 5 years.

**Q6. Quantity I:** Rs. 3000

**Quantity II:** Find the sum if the compound interest for 2 years at the rate of 25% per annum is Rs.1687.50? (in Rs.)

**Q7. Quantity I:** 95

**Quantity II:** A man covers a total distance of ‘n’ km in 2.5 hours, out of which first half was covered at 3 kmph and second half at 6 kmph. Find the value of n²?

**Q8. Quantity I:** y;y²-8y-48=0

**Quantity II:** x;x²+12x+32=0

**Q9. Quantity I:** x;x²-9x+18=0

**Quantity II:** y;y²-13y+42=0

**Q10. Quantity I:** x;x²+10x-24=0

**Quantity II:** y;y²+5y+6=0

**Direction (11-15): The following questions are accompanied by two statements i.e. statement (I) and statement (II). You have to determine which statements(s) is/are sufficient/necessary to answer the questions. **

(a) Only statement I alone is sufficient to answer the question.

(b)Only statement II alone is sufficient to answer the question.

(c)Either of the statement I or statement II is sufficient to answer the question.

(d)Both the statement I and statement II together are sufficient to answer the question.

(e)Neither statement I nor statement II is sufficient to answer the question.

**Q11. Find the time taken by boat to cover 80 km in still water?**

**Statement** I: A boat takes 15 hours to cover 60 km both in upstream and downstream.

**Statement** II: A boat covers 30 km upstream in 5 hours while same boat covers 45 km downstream in 2.25 hours.

**Q12. Find the speed of train B?**

**Statement** I: The length of train A and train B is 120 m and 150 m respectively, whereas the respective ratio of their speed is in the ratio of 3:2.

**Statement** II: Train A crosses train B, which is running in opposite direction in 12 seconds.

**Q13. After giving some discount to a customer, find the profit or loss acquired by the shopkeeper?**

**Statement** I: An item was marked up by 25% and shopkeeper sold the article at Rs. 1200.

**Statement** II: Two successive discount of d% and 12.5% were given on the article.

**Q14. Find the number of days taken by A and B to complete half of the work together?**

**Statement** I: Number of days taken by A is 6 more than the number of days taken by B while the efficiency of A is one third of B.

**Statement** II: The number of days taken by A, B, C & D to complete a work is 4 days while A do same work in 24 days.

**Q15. Find the total number of green balls in the bag?**

**Statement** I: The probability of drawing one red ball from a bag containing 3 red balls, 6 blue and ‘x’ green balls is 3/11.

**Statement** II: The probability of drawing one green ball from a bag containing 5 white balls and remaining orange and green balls is 3/8.

**Solutions**