**Directions (1 – 5):**

**Find the appropriate relation for quantity1 and quantity2 in the following question:**

**1. Quantity 1:**In an examination, Ankita scored 35 marks less than Puneeta. Puneeta scored 65 more marks than Meenakshi. Rakhi scored 115 marks, which is 20 marks more than Meenakshi's. Simpy scored 108 marks less than the maximum marks of the test. What approximate percentage of marks did Simpy score in the examination, if she got 67 marks more than Ankita?

**Quantity 2:**The length of a rectangle is increased by 60%. By what percent would the width have to be decreased to maintain the same area?

a) Q1 < Q2

b) Q1 ≤ Q2

c) Q1 ≥ Q2

d) Q1 > Q2

e) None of these

**2. A bag contains 20 balls which include 7 balls of red colour, 8 balls of white colour and rest of green colour. If 7 balls are drawn then probability of**

**Quantity 1:**3 balls of red colour and 4 balls of white colour

**Quantity 2:**5 balls of white colour and 2 balls of green colour

a) Q1 > Q2

b) Q1 < Q2

c) Q1 ≥ Q2

d) Q1 ≤ Q2

e) Q1 = Q2 or no relationship exits

**3. Quantity 1:**91854, 10,206, 1,134, 126, (?)

**Quantity 2:**38, 43, 53, (?), 113, 193

a) Q1 > Q2

b) Q1 < Q2

c) Q1 ≥ Q2

d) Q1 ≤ Q2

e) Q1 = Q2 or no relationship exits

**4. How many trees can be put in Circular Park whose circumference is 924cm**

**Quantity 1:**allowing 42cm

^{2}for each tree

**Quantity 2:**

**allowing 49cm**

^{2}for each tree

a) Q1 > Q2

b) Q1 < Q2

c) Q1 ≥ Q2

d) Q1 ≤ Q2

e) Q1 = Q2 or no relationship exits

**5. Quantity 1:**Number of hours in which A, B and C can complete the work if A, B and C alone can finish it in 25, 20 and 15 hours respectively.

**Quantity 2:**Number of hours in which B can finish the work if A working alone finishes it in 20 hours while working together they finish it in 5 hours.

a) Q1 > Q2

b) Q1 ≥ Q2

c) Q1 ≤ Q2

d) Q1 > Q2

e) Q1 = Q2

**Directions (6 – 10): Study the following information carefully to answer the questions that follow.**

There are two trains Duronto and
Talgo. Both trains have four different types of coaches i.e general coaches,
sleeper coaches, first class coaches and AC coaches. In Duronto there are 800
passengers. Talgo has 40% more passengers than Duronto. 25% of the passengers
of Duronto are in AC coaches. 15% of the total numbers of passengers of Duronto
are in general coaches, 28% of the passengers of Duronto are in sleeper coaches
and remaining passengers of Duronto are in first class coaches. 40% of the
numbers of passengers of Talgo are in sleeper class coaches. Total number of
passengers in AC coaches in both the train together is 390 and 15% of total
passenger of Talgo are in first class coach. Remaining passengers of Talgo are
in general class coach.

**6. What is the ratio of the number of passengers in first class coaches of Duronto to the number of passengers in sleeper class coaches of Talgo?**

a) 3 : 7

b) 17 : 13

c) 2 : 3

d) 4 : 7

e) None of these

**7. What is the total number of passengers in the general coaches of Duronto and Talgo together?**

a) 449

b) 459

c) 434

d) 445

e) None of these

**8. What is the difference between the number of passengers in the AC coaches of Duronto and total number of passengers in sleeper class coaches and AC coaches together of Talgo?**

a) 300

b) 438

c) 487

d) 279

e) None of these

**9. Total number of passengers in First class coaches in both the trains together is approximately what percentage of total number of passengers in Talgo?**

a) 35

b) 42

c) 45

d) 38

e) 31

**10. If cost of per ticket of AC coach of both the train is Rs.350, what total amount will be generated from AC coaches of both the train?**

a) Rs.136500

b) Rs.108000

c) Rs.111200

d) Rs.145600

e) None of these

**Solutions:**

**1. D)**Quantity 1-

Rakhi’s marks= 115

Meenakshi’s marks= 115 - 20 = 95

Puneeta’s marks= 95 + 65= 160

Ankita’s marks=160 - 35= 125

Simpy’s marks= 125+ 67= 192

Total maximum marks= 192 + 108= 300

Required percentage marks of Simply
= 192/300 × 100 = 64%

Quantity 2-

Let length and breadth be 100.

After increase in length it become
160, then reduction in breadth be ‘x’

Now, 160*x= 100*100

Hence, x = 10000/160 = 62.5

Reduction in breadth is 100 – 62.5 = 37.5%

Hence, Quantity1 > Quantity2

**2. A)**

**3. B)**

**4. A)**

**5. D)**

**6. D)**

**7. C)**

Number of passenger of Duronto in
general coaches = 15% of 800 = 120

Number of passenger of Talgo in
general coaches = 1120 – (448 + 190 + 168) = 314

Total number of passengers in the
general coaches of Duronto and Talgo = 120 + 314 = 434

**8. B)**

Number of passenger of Talgo in
sleeper coaches = 40% of 1120 = 448

Number of passenger of Talgo in AC
coaches = 390 – 200 = 190

Require difference = (448 + 190) –
200 = 438

**9. D)**

Number of passenger of Duronto in
first class coaches = 800 – (200 + 120
+224) = 256

Number of passenger in Talgo = 140%
of 800 = 1120

Number of passenger of Talgo in first
class coach = 15% of 1120 = 168

∴ Required percentage = (256 + 168)/1120 × 100 = 37.85% ≈ 38%

**10. A)**

Total number of passengers in AC
coaches in both the train together is 390

∴ Amount generated from AC coaches of both the train = 390 × 350 = Rs. 136500