Ratio & Proportion · SSC CGL previous year questions

2022 80 questions

1. Q752022 · 8 Dec 2022 · Shift 1

   A mixture contains milk and water in the ratio of 5 ∶ 3, respectively. On adding 7 litres of water, the ratio of milk to water becomes 1 ∶ 2. Find the quantity of milk in the mixture.

   1. A.7 litres
   2. B.10 litres
   3. C.5 litres
   4. D.3 litres
   Show answer

   Answer: C

2. Q682022 · 8 Dec 2022 · Shift 2

   The fourth proportional to 16 and 26 and 32 is:

   1. A.16
   2. B.52
   3. C.54
   4. D.24
   Show answer

   Answer: B

3. Q542022 · 8 Dec 2022 · Shift 3

   Find the fourth proportional to the numbers 17, 272 and 19.

   1. A.332
   2. B.323
   3. C.403
   4. D.304
   Show answer

   Answer: D

4. Q672022 · 8 Dec 2022 · Shift 3

   Study the given graph and table and answer the following question. Data of different states regarding population of states in the year 1998 Total population of the given states = 32760000 States Sex and literacy wise Population Ratio Sex Literacy M F Literate Illiterate Arunachal Pradesh 5 3 2 7 Madhya Pradesh 3 1 1 4 Delhi 2 3 2 1 Goa 3 5 3 2 Bihar 3 4 4 1 Uttar Pradesh 3 2 7 2 Tamil Nadu 3 4 9 4 What was the ratio of the number of females in Arunachal Pradesh to the number of females in Uttar Pradesh?

   
   1. A.21 ∶ 50
   2. B.25 ∶ 16
   3. C.16 ∶ 25
   4. D.50 ∶ 21
   Show answer

   Answer: B

5. Q572022 · 8 Dec 2022 · Shift 4

   The table given below shows the number of officers working in six companies. Companies Officers P 150 Q 250 R 350 S 100 T 200 U 550 What is the ratio of number of officers working in Q to the number of officers working in R?

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

   Answer: D

6. Q722022 · 8 Dec 2022 · Shift 4

   A cuboid of sides 12 cm, 18 cm and 27 cm is melted to form a cube. What is the ratio of the total surface area of the cuboid to that of the cube?

   1. A.18 : 17
   2. B.17 : 19
   3. C.19 : 18
   4. D.17 : 23
   Show answer

   Answer: C

7. Q582022 · 7 Dec 2022 · Shift 1

   Wheat worth Rs. 80 per kg and Rs. 50 per kg is mixed with a third variety in the ratio 1 ∶ 2 ∶ 3. If the mixture is worth Rs. 75 per kg, then the price of the third variety per kg will be equal to:

   1. A.Rs. 95
   2. B.Rs. 85
   3. C.Rs. 80
   4. D.Rs. 90
   Show answer

   Answer: D

8. Q592022 · 7 Dec 2022 · Shift 1

   The mean proportional of 6 and 54 is ________ more than 15.

   1. A.3
   2. B.6
   3. C.4
   4. D.5
   Show answer

   Answer: A

9. Q652022 · 7 Dec 2022 · Shift 1

   If the angles of a triangle are in the ratio of 1 ∶ 2 ∶ 3, what is the type of such triangle?

   1. A.Isosceles triangle
   2. B.Equilateral triangle
   3. C.Right-angle triangle
   4. D.Obtuse- angle triangle
   Show answer

   Answer: C

10. Q612022 · 7 Dec 2022 · Shift 3

    Find the fourth proportional to the numbers 24, 192 and 27.

    1. A.216
    2. B.108
    3. C.162
    4. D.170.67
    Show answer

    Answer: A

11. Q702022 · 7 Dec 2022 · Shift 4

    Find the mean proportional between 27 and 300.

    1. A.90
    2. B.45
    3. C.135
    4. D.180
    Show answer

    Answer: A

12. Q612022 · 6 Dec 2022 · Shift 1

    The mean proportional of a and b is c. What is the mean proportional of a2c and b2c?

    1. A.c
    2. B.3c
    3. C.c3
    4. D.c2
    Show answer

    Answer: C

13. Q662022 · 6 Dec 2022 · Shift 1

    A solid hemisphere has radius 21 cm. It is melted to form a cylinder such that the ratio of its curved surface area to total surface area is 2 : 5. What is the radius (in cm) of its base (take $\pi =\frac{22}{7}$)?

    1. A.23
    2. B.21
    3. C.17
    4. D.19
    Show answer

    Answer: B

14. Q752022 · 6 Dec 2022 · Shift 1

    The table given below shows the production of beauty products by five different companies. What is the ratio of production of beauty product by A to the production of beauty product by E? Companies Production A 30 B 50 C 32 D 15 E 25

    
    1. A.7 ∶ 4
    2. B.4 ∶ 5
    3. C.6 ∶ 5
    4. D.5 ∶ 6
    Show answer

    Answer: C

15. Q522022 · 6 Dec 2022 · Shift 2

    If x is the mean proportional between 12.8 and 64.8, then the value of x is:

    1. A.32
    2. B.34
    3. C.28.8
    4. D.26.4
    Show answer

    Answer: C

16. Q622022 · 6 Dec 2022 · Shift 3

    The sides of a triangle are in the ratio $\frac{1}{3}:\frac{1}{5}:\frac{1}{6}$. If the perimeter is 147 cm, then the length of the smallest side is ______.

    1. A.12 cm
    2. B.25 cm
    3. C.30 cm
    4. D.35 cm
    Show answer

    Answer: D

17. Q632022 · 6 Dec 2022 · Shift 3

    Solve the following to find its value in terms of trigonometric ratios. (sin A + cos A)(1 – sin A cos A)

    1. A.sin3 A + cos3 A
    2. B.sin2 A - cos2 A
    3. C.[cos A - sin A] [sin2 A + cos2 A]
    4. D.sin3 A - cos3 A
    Show answer

    Answer: A

18. Q642022 · 6 Dec 2022 · Shift 3

    The ratio of the outer and the inner circumference of a circular path is 5 ∶ 4. If path is 50 metres wide, then what is the radius of the inner circle?

    1. A.250 metres
    2. B.300 metres
    3. C.200 metres
    4. D.210 metres
    Show answer

    Answer: C

19. Q702022 · 6 Dec 2022 · Shift 3

    Find the mean proportion of $\frac{a^3+b^3}{a-b}$ and $\frac{a^2-b^2}{a^2-ab+b^2}$.

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

    Answer: B

20. Q532022 · 6 Dec 2022 · Shift 4

    Rohan scored twice as many marks in English as he did in Science. His total marks in English, Science and Mathematics are 126. If the ratio of his marks in English and Mathematics is 2 : 3, his marks in English are:

    1. A.63
    2. B.20
    3. C.21
    4. D.42
    Show answer

    Answer: D

21. Q712022 · 6 Dec 2022 · Shift 4

    From point H, at 6 : 30 pm, a train starts moving towards point K at the speed of 90 km/hr. Another train starts moving from point K at 7 : 30 p.m. towards point H at the speed of 72 km/hr. Both the train meet at 11 : 30 p.m. at point J. What is the ratio of the distance HJ and KJ?

    1. A.25 : 16
    2. B.5 : 16
    3. C.36 : 25
    4. D.31 : 19
    Show answer

    Answer: A

22. Q532022 · 5 Dec 2022 · Shift 1

    A policeman saw a thief from a distance of 450 m. When the policeman started chasing him, the thief also started running. The ratio of speeds of the thief to the policeman is 7 : 8. After running how much distance (in km) can the policeman catch the thief?

    1. A.3.75
    2. B.3.4
    3. C.3.6
    4. D.3.15
    Show answer

    Answer: C

23. Q572022 · 5 Dec 2022 · Shift 1

    Study the given table and answer the question that follows. The table shows the number of donuts sold by three different stores in five different months. Store Month July August September October November P 400 350 263 125 420 Q 660 170 465 905 180 R 342 182 700 960 235 What is the ratio of the total number of donuts sold by stores P and R together in October to the total number of donuts sold by stores Q and R together in the same month?

    
    1. A.353 : 217
    2. B.217 : 373
    3. C.373 : 217
    4. D.217 : 353
    Show answer

    Answer: B

24. Q622022 · 5 Dec 2022 · Shift 1

    The ratio of the present ages of Ram and Ramesh is 3 : 5. After 7 years the ratio of their ages will be 4 : 5. Find the present age of Ramesh.

    1. A.5 years
    2. B.15 years
    3. C.7 years
    4. D.12 years
    Show answer

    Answer: C

25. Q682022 · 5 Dec 2022 · Shift 1

    The table given below shows the production of bike and truck by five companies. Production Companies Bike Truck G 800 600 H 550 400 I 600 300 J 350 700 K 400 750 What is the ratio of the production of truck by company H and I together to the production bike by company J and K together?

    
    1. A.14 : 17
    2. B.15 : 14
    3. C.14 : 19
    4. D.14 : 15
    Show answer

    Answer: D