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 42cm2 for
each tree
Quantity 2: allowing 49cm2 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