Ratio & Proportion · SSC CGL previous year questions

A ring-shaped disc has outer radius 10 cm and inner radius 7 cm. What is the approximate ratio of the ring's area to the whole outer circle?

1. A.1:2
2. B.2:3
3. C.3:4
4. D.4:5

The number of red, blue, and green marbles in a bag is in the ratio 3 : 4 : 6. If 20 red marbles, 15 blue marbles, and an unknown number of green marbles are added to the bag, the ratio of red, blue, and green marbles becomes 4 : 5 : 7. Determine the number of green marbles added.

1. A.3
2. B.5
3. C.7
4. D.9

The ratio of boys to girls in a school is 7:5. If 20 more girls join the school, the new ratio of boys to girls becomes 7:6. What is the total number of students in the school initially?

1. A.200
2. B.240
3. C.300
4. D.360

A 100-litre solution contains acid and water in the ratio 3:2. Some quantity of this solution is removed and replaced with pure acid. If the final ratio of acid to water becomes 7:3, how many litres of solution were replaced?

1. A.35 litres
2. B.25 litres
3. C.50 litres
4. D.20 litres

The ratio of the efficiencies of two workers, P and Q, is 5 : 2. If P can complete a project in 12 days, how many days will Q take to complete the same project alone?

1. A.24 days
2. B.30 days
3. C.35 days
4. D.40 days

Two triangles are similar with sides in the ratio 3:5. What is the ratio of their areas?

1. A.3:5
2. B.5:3
3. C.9:25
4. D.25:9

The angles of a cyclic quadrilateral are in the ratio 1:2:3:4. What is the measure of the smallest angle?

1. A.36°
2. B.72°
3. C.108°
4. D.144°

Two individuals, A and B rent a pasture. A uses 16 cows for a duration of 3 months and 20 sheep for 4 months, and B uses 30 sheep for 6 months. If 4 cows are equivalent to 8 sheep, determine A's portion of the rent.

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

Three groups of students have average ages 18, 20, and 22 respectively. If the number of students in the three groups is in the ratio 2 : 3 : 5, what is the overall average age?

1. A.19.6
2. B.20.6
3. C.15.6
4. D.14.6

A builder has 100 m of fencing wire. He can use this wire to enclose a circular garden or a square garden. If he wants to maximize the enclosed area, what is the approximate ratio of the area of the largest possible circular garden to the area of the largest possible square garden, using the entire 100 m of wire?

1. A.1 : 1
2. B.1.27 : 1
3. C.1.57 : 1
4. D.2 : 1

A sector of a circle has a central angle of $120^{\circ }$ and a radius of 7 cm. Another sector of the same circle has a central angle of $\frac{2\pi }{3}$ radians. What is the ratio of the area of the first sector to the area of the second sector?

1. A.3 : 5
2. B.2 : 3
3. C.1 : 1
4. D.4 : 5

The following figure shows the production of mobiles in lakh units of four cities in different years. Study the figure and answer the question that follows. What is the ratio between the average production in Delhi and Kolkata during the period of 2019 to 2022?

1. A.11 : 9
2. B.13 : 7
3. C.11 : 7
4. D.13 : 9

If the angles of a triangle are in the ratio 7:8:3, then the value of the largest angle is:

1. A.80°
2. B.120°
3. C.60°
4. D.100°

If a : b = c : d = e : f = 5 : 7, then what is the ratio (3a + 5c + 11e) : (3b + 5d + 11f)?

1. A.11 : 7
2. B.3 : 7
3. C.7 : 11
4. D.5 : 7

How much rice of ₹4 per kg should be mixed to 15 kg of rice of ₹10 per kg, so as to make a mixture worth ₹6.50 per kg?

1. A.40 kg
2. B.21 kg
3. C.30 kg
4. D.15 kg

The monthly incomes of A, B and C are in the ratio 2:9:3 and their expenses are in the ratio 3:9:5. If A’s saving is half of his total income, then savings of A, B and C are, respectively, in the ratio of:

1. A.3:9:2
2. B.2:5:2
3. C.3:18:4
4. D.1:2:1

The following table shows the number of pages printed by 3 printers (P, Q, and R) for 3 days. Day P Q R Monday 100 130 200 Tuesday 120 145 160 Wednesday 180 85 120 What is the ratio of the total number of pages printed by printer P over the course of three days to the total number of pages printed by printer Q during the same three days?

1. A.11 : 10
2. B.10 : 9
3. C.10 : 11
4. D.9 : 10

Nihira is 25 years old and Punith is 30 years old. How many years ago was the ratio of their ages 3 : 4?

1. A.10 years
2. B.15 years
3. C.5 years
4. D.20 years

Consider the following table for total exports of goods of 5 companies over 5 years (in lakhs). Companies / Year R S T U V 2012 60 40 15 45 25 2013 30 60 70 15 90 2014 51 25 55 100 110 2015 45 51 20 70 65 2016 24 35 60 55 125 If the ratio of exports to the imports of companies S and U in the year 2015 is 3 : 2 and 1 : 2, respectively, then, the total imports (in ₹ lakhs) of companies S and U together in the year 2015 is:

1. A.121
2. B.174
3. C.157
4. D.187

The given table shows the number of clerical and officer cadre employees recruited by four different banks A, B, C and D from 2011 to 2014. Year A B C D Officer Clerk Officer Clerk Officer Clerk Officer Clerk 2011 260 458 255 460 205 428 265 470 2012 310 569 286 584 230 539 246 554 2013 350 730 321 725 340 740 361 725 2014 400 890 452 845 380 850 482 860 Compute the ratio of the number of officer cadre employees of bank A to the number of officer cadre employees of bank C.

1. A.8 : 7
2. B.5 : 6
3. C.7 : 8
4. D.6 : 5

The ratio of circumference and diameter of a circle is 3 : 5. If the circumference is 6 cm, then the radius of the circle is:

1. A.1.8 cm
2. B.10 cm
3. C.15 cm
4. D.5 cm

The sales of two kinds of bicycles B1 and B2 (in lakhs) manufactured by a company over a period of three years are shown in the table below. Year B1 B2 2004 195 284 2005 230 300 2006 250 416 From 2004 to 2006, what is the ratio of the total sales of bicycles B1 to the total sales of bicycles B2?

1. A.9 : 10
2. B.27 : 40
3. C.40 : 27
4. D.10 : 9

A man buys 10 kg of wheat at a rate of ₹26/kg. The wheat is mixed with 6 kg of other good quality of wheat to get a mixture at a price of ₹35/kg. The price of good quality wheat per kg (in ₹) is:

1. A.46
2. B.38
3. C.42
4. D.50

The following table gives zone wise survey report of the people of a country who take tea. Study the table and answer the question. The ratio of the total number of people surveyed who take tea more than 3 times a day to the number of people who do not take tea at all is:

1. A.5 : 107
2. B.8 : 103
3. C.101 : 5
4. D.103 : 8

If the mean proportional between p and q is 12, then the possible values of p and q, respectively, are:

1. A.3, 28
2. B.24, 6
3. C.3, 38
4. D.24, 16