## Quantitative Comparison

## (Set – 2)

**1)**

**Quantity l:** 3 people P, Q, R started a business and each of them invested Rs.

12000. After 3 months P withdrew Rs. 3000, after 2 more months Q withdrew Rs.

2000 and R invested Rs.2000. At the end of the year, total profit made was Rs.

81000. Find the difference between the share of P and R?

**Quantity ll:** A, B and C entered into partnership. A invested 2 times as much as B.

B invested 3 times as much as C. At the end of the year the profit is Rs. 80000.

Find the sum of the share of A and B?

a) Quantity-I > Quantity-Il

b) Quantity-I < Quantity-Il

c) Quantity-I ≤ Quantity-Il

d) Quantity-I = Quantity-Il or No relation

e) Quantity-1 ≥ Quantity-Il

**2)**

**Quantity l:** Pipe X can fill a tank in 6 hours, while pipe X along with an outlet pipe Y can fill

the tank in 9 hours. Find the time taken to empty the half filled tank alone by the outlet

pipe.

**Quantity Il:** A can do a piece of work in 9 hours while B and C together can do the same

work in 12 hours. If the efficiency of B and C are in the ratio of 2:1, find the time taken to

complete the work, if all of them started the work together and after working for 2 hours, B

left the work and the remaining work is completed by A and C

a) Quantity-I > Quantity-Il

b) Quantity-I < Quantity-Il

c) Quantity-I ≤ Quantity-Il

d) Quantity-I = Quantity-Il or No relation

e) Quantity-1 ≥ Quantity-Il

**3)**

**Quantity l:** A bag contains 3 red balls, 4 black balls and 2 white balls. Three balls are

randomly selected from the bag. Find the probability that no two balls of same colour are

selected.

**Quantity Il:** A man tosses 3 coins simultaneously. Find the probability that at least 2 head

appears.

a) Quantity-I > Quantity-Il

b) Quantity-I < Quantity-Il

c) Quantity-I ≤ Quantity-Il

d) Quantity-I = Quantity-Il or No relation

e) Quantity-1 ≥ Quantity-Il

**4)**

**Quantity l:** The average marks obtained by 3 departments is 848. If the average marks

obtained by the students of biology department of 15 students is 64 and the average marks

of the students of Chemistry department of 12 students is 72. Find the average marks of the

students of commerce department having 9 students.

**Quantity Il:** The average mark of four students in Mathematics is 68. Later it was found that,

one of the students got 88 marks and due to error in marking he got 76. Find the actual

average marks of the four students.

a) Quantity-I > Quantity-Il

b) Quantity-I < Quantity-Il

c) Quantity-I ≤ Quantity-Il

d) Quantity-I = Quantity-Il or No relation

e) Quantity-1 ≥ Quantity-Il

**5)**

**Quantity I:** A certain number of sweets were supposed to be distributed among three

students P, Q and R in the ratio of 1 : 2 : 4 respectively. Mistakenly, they were distributed in

the ratio of 5: 4:5. So, P got 1800 more sweets. Then what is the difference between the

number of sweets that R got and the number sweets that P would have received if there

was no mistake?

**Quantity Il:** A certain number of chocolates were to be distributed among three students A,

B and C in the ratio 3:7:2. But, while distributing they did not get the number of chocolates

they were supposed to but rather A got 674 chocolates, B got 358 chocolates and C got the

remaining. If the C got 168 more chocolates than what she was supposed to get then, find

the total number of chocolates.

a) Quantity-I > Quantity-Il

b) Quantity-I < Quantity-Il

c) Quantity-I ≤ Quantity-Il

d) Quantity-I = Quantity-Il or No relation

e) Quantity-1 ≥ Quantity-Il

**6)**

**Quantity l:** Ravi and Shivam can complete a task in 20 hours and 24 hours while working

individually. Ravi works for 2 hours and Shivam works for next 3 hours. If they continue

working in this pattern, then in how many hours would the work be complete?

**Quantity Il:** The ratio of number of hours taken by P, Q and R to complete a task while

working individually is 8: 5: 6 respectively and the number of hours taken by Q is 25 hours.

In how many hours can P, Q and R complete the task while working together?

a) Quantity-I > Quantity-Il

b) Quantity-I < Quantity-Il

c) Quantity-I ≤ Quantity-Il

d) Quantity-I = Quantity-Il or No relation

e) Quantity-1 ≥ Quantity-Il

**7)**

**Quantity l:** Distance from point A to point B is ‘x’ km and a man covers the distance at a

speed of 50 km/hr. While returning, half the distance is covered at a speed of 25 km/hr and

then he took an another path which increases the distance to point A by 5 km but his speed

while travelling through the another path is 40 km/hr. If it took him 30 minutes more while

returning, then find the value of ‘x’.

**Quantity Il:** A boatman covers 45 km downstream and 30 km upstream in 5 hours 30

minutes. If the ratio of the resultant downstream speed to the resultant upstream speed is

5:4, respectively, then find the distance covered by the boatman in still water in 2 hours 12

minutes.

a) Quantity-I > Quantity-Il

b) Quantity-I < Quantity-Il

c) Quantity-I ≤ Quantity-Il

d) Quantity-I = Quantity-Il or No relation

e) Quantity-1 ≥ Quantity-Il

**8)**

**Quantity l:** A train of length 400 metres crosses a platform of length 25% more than the

length of the train in 45 seconds. Find the time taken to cover 648 km by the train at the

same speed.

**Quantity Il:** Find the total time taken by an athlete to cover the total distance of 108 km at

an average speed of 12 km/hr.

a) Quantity-I > Quantity-Il

b) Quantity-I < Quantity-Il

c) Quantity-I ≤ Quantity-Il

d) Quantity-I = Quantity-Il or No relation

e) Quantity-1 ≥ Quantity-Il