RRB NTPC 2025 Injection Course
Ratio & Proportion
Ratio & Proportion
RRB NTPC 2025 Injection Course
1.
Which of the following ratios is the largest?
2.
RRB JE - 02/06/2019 (Shift-II)
(a) 5: 7
(b) 2: 3
(c) 3: 4
(d) 3: 5
The ratio of the number of marbles that Tulip and Devansh
had was 7 : 9 while the ratio of the number of marbles that
Sheetal and Devansh had was 7 : 15. What is the ratio of the
number of marbles available with Tulip and Sheetal.
(a) 5:3
(c) 7:5
3.
4.
5.
6.
7.
8.
RRB RPF Constable -17/01/2019 (Shift-III)
(b) 5:7
(d) 2:3
The ratio of soil and gravel in a mixture is 11:8, while the ratio
of gravel and cement is 6:7. What is the ratio of soil and
cement in the mixture?
RRB Paramedical Exam - 20/07/2018 (Shift-I)
(a) 77:48
(b) 33:28
(c) 8:6
(d) 11:7
Suraj's amount is four times that of Ravi. Ravi's amount is
sixteen times that of Aditya. What is the ratio of Aditya and
Suraj's amounts?
RRB Group-D - 11/12/2018 (Shift-II)
(a) 64:1
(b) 1:64
(c) 1:24
(d) 1:16
A bag contains Rs.1, 50-paise and 25-paise coins in the ratio
of 4: 5: 6 respectively. If the total amount of money in the bag
is Rs.32, find the number of coins of one rupee.
RRB Group-D - 11/12/2018 (Shift-II)
(a) 16
(b) 22
(c) 14
(d) 18
a:b=7:9, b: c = 5 : 11, then a : b : c=?
a:b=7:9, b: c = 5 : 11,
a : b : c=?
RRB Group-D - 11/10/2018 (Shift-III)
(a) None
(b) 99:45:35
(c) 45:35:99
(d) 35:45:99
If a : b = 3/5 c: b = 3/2 c: d = 5 : 6, then a : d =?
a : b = 3/5 c: b = 3/2 c: d = 5 : 6
a : d =?
RRB NTPC 18.04.2016 Shift : 3
(a) 12:36
(b) 12:15
(c) 1:3
(d) 11:36
The ratio of copper, zinc and nickel in German silver is 4 : 3 :
2. How many kilograms of zinc should be added to 54 kg of
this metal so that the new ratio becomes 2 : 5 : 1?
(a) 50
(c) 36
[1]
RRB Group-D - 11/12/2018 (Shift-II)
(b) 48
(d) 42
9.


PK
SIR (PATN A
If a = 2b/3, b = 2c/3, and c = 2d/3, then find the ratio of b and d.
a = 2b/3, b = 2c/3
c = 2d/3
b
d
RRB NTPC 19.04.2016 Shift : 2
(a) 8/9
(b) 4/9
(c) 4/3
(d) 5/27
10. The ratio of marks obtained by a student in 3 subjects is 1:2:3.
The school has decided to give 5% grace marks for each subject.
Find the new ratio of the student.
RRB NTPC 06.04.2016 Shift : 1
(a) 1:2:3
(b) 2:3:4
(c) 2:3:1
(d) 3:2:1
11. The ratio between two numbers is 5 : 9. If 6 is added to the two
numbers, the ratio between them becomes 2 : 3. They are the
original numbers.
RRB Group-D - 08/10/2018 (Shift-1)
(a) 25, 45
(b) 10, 18
(c) 15, 27
(d) 5,9
12. The ratio of red balls and green balls in a bag is 15 : 26. If 12
more green balls are put in the bag then the ratio of red balls
and green balls will become 1 : 2. How many red balls are
there in the bag?
RRB Group-D - 26/09/2018 (Shift-II)
(a) 60
(b) 30
(c) 45
(d) 15
13. The ratio of two numbers is 2:3. If 12 is subtracted from both
the numbers then the ratio becomes 5:8. Find the numbers-
RRB NTPC 04.04.2016 Shift : 1
(a) 16 and 24
(b) 35 and 56
(c) 72 and 108
(d) 20 and 48
14. If the ratio of the lengths of all the sides of a triangle is 2:3:4 and
its perimeter is 63 cm, then find the length of the largest side.
RRB RPF SI -13/01/2019 (Shift-II)
(a) 30 cm.
(b) 28 cm.
(c) 21 cm.
(d) 14 cm.
15. If Rs 750 is divided into three parts x, y and z such that (x-5):
(y - 10): (z-15 = 5 : 4 : 3, then find the share of x, y and z
respectively.
Rs 750
x, y
z
(x-5): (y - 10): (z-15 = 5 : 4 : 3
x, y
z
(a) Rs 250, Rs200, Rs 150
(b) Rs 305, Rs250, Rs 195
(c) Rs 310, Rs170, Rs 240
(d) Rs 300, Rs240, Rs 180
RRB JE - 30/05/2019 (Shift-III)
)
RRB NTPC 2025 Injection Course
16. An amount of Rs 117 was mistakenly divided among P, Q and
R in the ratio 2:3:4 instead of 1/2:1/3:1/4. Who gets the
highest amount and how much in this division?
Rs 117
P, Q
R
1/2:1/3:1/4
Ratio & Proportion
25. A bag contains 25 paise, 10 paise and 5 paise coins in the ratio
1 : 2 : 3. If the total amount in the bag is Rs 30, then how many
5 paise coins are there?
Rs 30
RRB JE - 31/05/2019 (Shift-III)
(a) P, Rs 28
(b) R, Rs 27
(c) R, Rs 25
(d) Q, Rs 35
17. If the angles of a triangle are in the ratio 5 : 6 : 7 then the triangle
is called.
(a) Equilateral Triangle/
(b) Acute Angle Triangle/
(c) Right Angle Triangle/
(d) Obtuse Angle Triangle/
18. If the ratio of the angles of a triangle is 1 : 4 : 7, then find the
ratio of the largest angle to the smallest angle.
RRB NTPC 12.04.2016 Shift: 3
(a) 7:2
(b) 2:3
(c) 7:1
(d) 3:5
19. If 12, x, 48 are in a commuting ratio then find the value of x?
12, x, 48
x
RRB RPF Constable -19/01/2019 (Shift-III)
(a) 24
(b) 21
(c) 36
(d) 16
20. The first three terms of a ratio are 3, 5 and 21 respectively.
Find its fourth term.
RRB RPF Constable -22/01/2019 (Shift-I)
(a) 25
(b) 35
(c) 30
(d) 20
21. Which of the following should be added to each of the four
numbers 4,8,12,22 to make them proportional?
RRB Group-D - 29/10/2018 (Shift-III)
(a) 4/3
(b) 3/4
(c) 8/3
(d) 5/6
22. If 25,35 and p are in successive proportion, find the value of p.
p
p
RRB Group-D - 03/10/2018 (Shift-II)
(a) 60
(b) 50
(c) 75
(d) 49
23. Four terms are in a ratio with each other. The first, second
and fourth terms are 4, 22 and 33. Find the third term-
RRB NTPC 18.01.2017 Shift: 2
(a) 8
(b) 6
(c) 11
(d) 3
24. What is the mean proportional between 0.16 and 0.64?
(a) 0.27
(c) 0.40
[2]
RRB ALP & Tec. (29-08-18 Shift-III)
(b) 0.48
(d) 0.32
RRB JE - 22/05/2019 (Shift-I)
(a) 100
(b) 200
(c) 150
(d) 50
26. A boy has a total of Rs 60, which consists of one rupee, 50 paise
and 25 paise coins in the ratio of 5 : 6 : 8. Find the number of
25 paise coins.
RRB RPF SI -12/01/2019 (Shift-II)
(a) 30
(b) 48
(c) 32
(d) 42
27. A bag contains 50 paise, 25 paise and 10 paise coins in the
ratio 5:4:3. If the value of the coins is Rs 171, what is the
number of coins of each type?
RRB Group-D - 15/11/2018 (Shift-I)
(a) 200, 250, 150
(b) 225, 180, 135
(c) 140, 150, 280
(d) 200, 360, 160
28. A bag contains 10 Rs., 20 Rs. and 50 Rs. notes in the ratio of
1:3:5. If the total amount kept in the bag is 1920 Rs. What is
the total number of 20 Rs. notes?
RRB NTPC 18.01.2017 Shift : 2
(a) 6
(b) 30
(c) 18
(d) 12
29. Surabhi invested ?6000 in an industry for 5 months and Urba
invested ?5000 for 6 months. What will be the ratio of their
profit?
RRB ALP & Tec. (21-08-18 Shift-III)
(a) 36 : 25
(b) 6 : 5
(c) 5 : 6
(d) 1 : 1
30. P and Q invested in a business in the ratio of 5 : 13. Q withdrew
his capital after 6 months. If they shared their profits in the
ratio of 25 : 26, then for how long was P's amount utilised?
P
Q
Q
P
RRB JE - 24/05/2019 (Shift-III)
(a) 8 months
(b) 15 months
(c) 18 months
(d) 12 months
31. A, B and C invested capital in the ratio of 2:3 : 5, the ratio of
'time' of their investment is 4 : 5:6. The ratio of profit of all
three will be :
A, B
C
(a) 08:15:20
(c) 08:15:30
RRB Group-D - 23/10/2018 (Shift-III)
(b) 05:15:30
(d) 07:15:30
RRB NTPC 2025 Injection Course
32. A jar of milk contains 40% water. A part of it is replaced with
another milk which contains 19% water. Now the percentage
of water is 26%. What quantity of milk was replaced?
RRB JE - 25/05/2019 (Shift-II)
(a) 2/3
(b) 2/5
(c) 1/5
(d) 1/3
33. From a container containing 50 litres of pure milk, 10 litres of
milk is taken out and 10 litres of water is added. If this process is
repeated thrice, what is the final ratio between water and milk?
RRB JE - 27/05/2019 (Shift-III)
(a) 7 : 16
(b) 9 : 16
(c) 61 : 64
(d) 1 : 4
34. How many liters of water must be added to 16 liters of milk
containing 10% water to dilute it so that the amount of water
in the mixture becomes 20%?
RRB JE - 01/06/2019 (Shift-I)
(a) 2 liters
(b) 4 liters
(c) 1 liter
(d) 3 liters
35. 5 liters of sugar mixture contains 6% sugar, out of which 1 liter
of water evaporates. Find the percentage of sugar in the
remaining mixture.
RRB NTPC 28.03.2016 Shift: 3
(a) 5%
(b) 7.5%
(c) 6%
(d) 4%
36. A bucket contains two liquids A and B mixed in the ratio of 7 : 5.
If 9 litres of the mixture is replaced with 10 litres of liquid B,
then the ratio of the two liquids becomes 7 : 9. How many litres
of liquid A was there in the bucket?
A
B
B
A
RRB Paramedical Exam - 21/07/2018 (Shift-II)
(a) 25
(b) 22.75
(c) 31
(d) 21
37. Gold is 17 times heavier than water and 9 times heavier than
copper. In what ratio should the metals be mixed so that they
become 12 times heavier than water.
RRB Group-D – 11/10/2018 (Shift-III)
(a) 4:3
(b) 7:1
(c) 3:5
(d) 3:2
38. Two vessels, A and B, contain a mixture of sugar and water in the
ratio 4 : 5 and 3 : 2. In what ratio can these two mixtures be mixed
to get a new mixture of half sugar and half water?
A
B
(a) 2:3
(c) 7:5
[3]
RRB NTPC 22.04.2016 Shift: 3
(b) 9:5
(d) 2:7
Ratio & Proportion
39. Two different mixtures of water and syrup in which the ratio
of water and syrup is 4:1 and 3:1 respectively are mixed in
the ratio of 1:2. What is the ratio of water and syrup in the
final mixture?
RRB ALP & Tec. (20-08-18 Shift-III)
(a) 19:11
(b) 23:7
(c) 17:13
(d) 4:3
40. There are two mixtures of water and squash. The first mixture
has water-squash in the ratio 5 : 1 and the second has a ratio of
3 : 1. They are mixed in the ratio of 3 : 2. What is the ratio of
water : squash in the final mixture?
RRB ALP & Tec. (17-08-18 Shift-III)
(a) 5:3
(b) 10:9
(c) 6:1
(d) 4:1
41. In what ratio should Darjeeling tea costing Rs. 400 per kg be
mixed with Assam tea costing Rs. 300 per kg so that a profit of
20% is made by selling the mixture at the rate of Rs. 408 per kg-
(a) 1 : 2
(b) 3 : 2
(c) 2 : 5
(d) 1 : 6
42. Silver and aluminium are mixed in the ratio of 5 : 3 and 7 : 9
respectively to form two alloys P and Q. If equal quantities of
the alloys are melted to form a new alloy R, then the ratio of
silver and aluminium in R will beP
Q
R
R
RRB NTPC 22.04.2016 Shift : 3
(a) 17:15
(b) 15:17
(c) 13:17
(d) 17:13
43. There are two mixtures of sherbet, the ratio of water and
sherbet in the first mixture is 4: 3 and in the second mixture
their ratio is 3: 2, both are mixed in the ratio of 1: 2 respectively.
What will be the ratio of water and sherbet in the prepared
mixture?
RRB Group-D - 08/10/2018 (Shift-I)
(a) 2: 1
(b) 62: 43
(c) 58: 47
(d) 9: 8
44. If A is 25 % less than B, then what will be the value of (2 B-A)/A?
A B
(2B - A)/A
(a) 5/4
(b) 3/2
(c) 3/4
(d) 5/3
45. The ratio of two numbers is 14: 25. If the difference between
them is 264 , then which is the smaller of the two numbers?
(a) 316
(c) 336
(b) 294
(d) 282