**Directions (1-7): In each of the questions below two statements I and II are given. You have to decide whether the statement/statements is/are sufficient to answer the question.**

**Q1. Find the time taken by boat to cover 80 km downstream.**

Statement I: The ratio of speed of boat in downstream to that in upstream is 9:7.

Statement II: The boat covers a distance of 24 km in 3 hours in still water.

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

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

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

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

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

**Q2. Find the rate of simple interest per annum?**

Statement I: Anil invested Rs.6000 and received a total of Rs.7200 as an amount at the end of three years.

Statement II: Anil invested Rs. P for 2 years and received an amount of Rs.2800 as an interest at the end of two years.

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

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

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

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

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

**Q3. Find the length of the train A.**

Statement I: Train A crosses another train B running in opposite direction in 27 seconds. The ratio of speeds of train A to train B is 6:5.

Statement II: Train A running at a speed of 90 kmph crosses a pole in 18 seconds.

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

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

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

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

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

**Q5. Find the present age of Shivam? (in years)**

Statement I: The ratio of present age of Shivam and Shubham is 5:3.

Statement II: The difference between the ages of Shivam and Shubham is 18 years.

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

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

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

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

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

**Q6. What is the profit/loss percentage on the article having cost price Rs.1800?**

Statement I: The discount offered on the article is 25% of the selling price.

Statement II: The marked price of the same article is 30% above the cost price.

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

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

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

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

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

**Q7. Find the number of days taken by A and B together to complete the work together?**

Statement I: The number of days taken by A to complete the work alone is 22.5 days and the ratio of efficiency of A to B is 4:5.

Statement II: The number of days taken by A, B & C together to complete the work is 6 days while C alone takes 18 days to complete that particular work.

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

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

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

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

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

**Directions (8-15): In each of the questions given below, read the given statements and compare the quantity I and quantity II to conclude the answer.**

**Q8.** Quantity I: 1/4

Quantity II: Find the probability of getting a sum greater than 9 when two dices are thrown simultaneously?

(a)Quantity I>Quantity II

(b)Quantity II>Quantity I

(c)Quantity I≤ Quantity II

(d)Quantity I≥ Quantity II

(e)Quantity I= Quantity II or no relationship established.

**Q9.** Quantity I: A mixture of x liters of milk and water is in the ratio of 4:3. When 10.5 liters mixture is removed and 6.5 liters of water is added then ratio of water to milk changes to 7:5. Find the value of x.

Quantity II: 28

(a)Quantity I>Quantity II

(b)Quantity II>Quantity I

(c)Quantity I≤ Quantity II

(d)Quantity I≥ Quantity II

(e)Quantity I= Quantity II or no relationship established.

**Q10.** Quantity I: How many days A would require to complete the work, working alone.

If two workers A and B working together completed a job in 5 days and if A worked twice as efficiently as he actually did and B worked 1/3 as efficiently as he actually did, the work would have been completed in 3 days.

Quantity II: Arun completes 2/3 of a certain job in 6 days. Lakshya can complete 1/3 of the same job in 8 days and Pulkit can complete 3/4 of the work in 12 days. All of them work together for 4 days and then Arun and Pulkit quit. How long will it take for Lakshya to complete the remaining work alone?

(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

**Q11.** Quantity I. 11x²+41x+24=0

Quantity II. 6y²+y-2=0

(a)Quantity I>Quantity II

(b)Quantity II>Quantity I

(c)Quantity I≤ Quantity II

(d)Quantity I≥ Quantity II

(e)Quantity I= Quantity II or no relationship established.

**Q12.** Quantity I: Find the time taken by Pipe A to completely fill a tank, if Pipe A and another outlet pipe B together fill the same tank in 8 hours and Pipe B empties the tank in 24 hours? (in hours)

Quantity II: 12.5 hours

(a)Quantity I>Quantity II

(b)Quantity II>Quantity I

(c)Quantity I≤ Quantity II

(d)Quantity I≥ Quantity II

(e)Quantity I= Quantity II or no relationship established.

**Q13.** Quantity I: Find the number of ways in which “SILENT” can be arranged so that vowels always comes together?

Quantity II: 220

(a)Quantity I>Quantity II

(b)Quantity II>Quantity I

(c)Quantity I≤ Quantity II

(d)Quantity I≥ Quantity II

(e)Quantity I= Quantity II or no relationship established.

**Q14.** Quantity I: x²+16x+6=72-3x

Quantity II: x²+13x-96=6+2x

(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**