Ratio & Proportion · SSC CGL previous year questions

If one man adds 6 litres of water to 10 litres of milk and another man adds 4 litres of water to 8 litres of milk, find the ratio of milk in the two mixtures.

1. A.15 : 16
2. B.16 : 15
3. C.12 : 11
4. D.16 : 17

The given bar graph shows the foreign direct investment (in million dollars) in Country A from all over the world over the given years. What was the ratio of investment in 2018 to that in 2015?

1. A.11 : 12
2. B.13 : 12
3. C.12 : 11
4. D.13 : 11

The mean proportional of $8a^2$ and $\frac{18}{a^4}$, where a is a positive number, is ______.

1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4

The ratio of the number of boys in a school to the total number of boys and girls in that school is 7 ∶ 17. If the number of boys in that school is 1099, then how many girls are there in that school?

1. A.1570
2. B.1580
3. C.1560
4. D.1550

What smallest positive number should be subtracted from 2 and 3 so that 4 is the third proportion to them?

1. A.1
2. B.2
3. C.4
4. D.3

The angles of a triangle are in the ratio 2 ∶ 3 ∶ 7. What is the measure of the largest angle of the triangle?

1. A.100°
2. B.45°
3. C.90°
4. D.105°

Which of the following is the lowest ratio?

1. A.8 ∶ 19
2. B.15 ∶ 38
3. C.17 ∶ 38
4. D.13 ∶ 19

The fourth proportional to 8, 32 and 13 is:

1. A.39
2. B.40
3. C.26
4. D.52

A boat running upstream takes 10 hours to cover a certain distance, while it takes 7 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and that of the water current, respectively?

1. A.17 ∶ 5
2. B.3 ∶ 17
3. C.2 ∶ 17
4. D.17 ∶ 3

Rice worth ₹35 per kilogram and ₹38 per kilogram are mixed with a third variety in the ratio 2 ∶ 1 ∶ 2. If the mixture is worth ₹42 per kilogram, the price of the third variety per kilogram is:

1. A.₹52
2. B.₹53
3. C.₹54
4. D.₹51

The mean proportional of (a + b) (a - b)3, (a + b)3 (a - b) is:

1. A.(a + b)2 (a - b)2
2. B.(a + b)2 (a - b)
3. C.(a + b) (a - b)2
4. D.a2 - b2

The ratio of the length to width of a certain rectangle is 3 ∶ 2 and the area is 150 cm2. The perimeter of the rectangle (in cm) is:

1. A.20
2. B.30
3. C.50
4. D.40

A pole is 9030 cm long. It is colored saffron, white and green in the ratio of 6 : 7 : 8. Find the length of the green part of the pole.

1. A.3440 cm
2. B.3010 cm
3. C.3480 cm
4. D.2580 cm

Rice worth ₹126 per kg and ₹135 per kg are mixed with a third variety in the ratio of 1 ∶ 1 ∶ 2, If the mixture is worth ₹153 per kg, then the price of the third variety per kg (in ₹) is:

1. A.182.5
2. B.195.5
3. C.133.5
4. D.175.5

The sides of two similar triangles are in the ratio 5 ∶ 7. The areas of these triangles are in the ratio:

1. A.35 ∶ 49
2. B.15 ∶ 49
3. C.25 ∶ 49
4. D.36 ∶ 49

Study the given table and answer the question that follows. The table gives the number of graduate students enrolled in 4 different colleges A, B, C, and D in a city over the years 2010 to 2014 and also the number of students who passed in the final examination during these years. Year 2010 2010 2011 2011 2012 2012 2013 2013 2014 2014 College Enrolled Pass Enrolled Pass Enrolled Pass Enrolled Pass Enrolled Pass A 680 620 600 560 720 700 800 760 750 700 B 550 530 450 420 600 550 650 620 700 680 C 480 450 520 500 580 550 620 600 720 700 D 710 650 750 710 680 640 720 690 740 710 Find the ratio of the average of students enrolled from college D to the average of students who passed from college D over all the years.

1. A.19 ∶ 17
2. B.18 ∶ 17
3. C.21 ∶ 17
4. D.20 ∶ 17

Study the given data and answer the question that follows. Data regarding population of different states in the year 2015 is shown in the pie-chart and table. Sex and Literacy-wise Population Ratio States Sex: M Sex: F Literacy: Literate Literacy: Illiterate A.P 5 3 2 7 M.P 3 1 1 4 Delhi 2 3 2 1 Goa 3 5 3 2 Bihar 3 4 4 1 U.P. 3 2 7 2 T.N. 3 4 9 4 If the total population of the given states is 31,5000, then what was the total number of illiterate people in Goa and M.P.?

1. A.65,520
2. B.81,900
3. C.1,20,500
4. D.90,870

The fourth proportional of the numbers 8, 12 and 14 is:

1. A.15
2. B.18
3. C.24
4. D.21

Radhika owns 2 dogs, 3 rabbits and 4 parrots as pets. What is the ratio of the number of rabbits to the total number of pets Radhika owns?

1. A.2 ∶ 3
2. B.1 ∶ 3
3. C.3 ∶ 1
4. D.3 ∶ 2

Three cubes with sides in the ratio of 3 ∶ 4 ∶ 5 are melted to form a single cube whose diagonal is 18√3 cm. The sides of the three cubes are:

1. A.21 cm, 28 cm and 35 cm
2. B.9 cm, 12 cm and 15 cm
3. C.18 cm, 24 cm and 30 cm
4. D.12 cm, 16 cm and 20 cm

Study the given bar-graph and answer the question that follows. A company provides five different products. The sales of these five products (in 1000 number of packs) during 2019 are shown in the bar-graph. What is the approximate ratio of sales of product A to product E in 2019?

1. A.1 ∶ 2
2. B.1 ∶ 3
3. C.2 ∶ 3
4. D.2 ∶ 1

X, Y and Z completed a work costing Rs. 3,400, X worked for 5 days, Y for 7 days and Z for 10 days. If their daily wages are in the ratio of 4 ∶ 5 ∶ 3, how much amount will be received by X?

1. A.Rs. 700
2. B.Rs. 900
3. C.Rs. 800
4. D.Rs. 600

The ratio of the speed of a motorboat to that of the current of water is 31 ∶ 6. The motorboat starts from a point and covers a certain distance along the current in 4 h 10 min. Find the time taken by the motorboat to come back to its initial point.

1. A.4 h 10 min
2. B.5 h 10 min
3. C.5 h 50 min
4. D.6 h 10 min

The number of mobile sim-cards in 4 states/UT are given in the bar diagram. Study the diagram and answer the question. In Delhi, the ratio of BSNL SIM cards used to Airtel SIM cards used is:

1. A.1 : 2
2. B.2 : 1
3. C.3 : 2
4. D.2 : 3

The third proportional between 25 and 35 is:

1. A.35
2. B.49
3. C.40
4. D.25