Ratio & Proportion · SSC CGL previous year questions

2023 45 questions

1. Q532023 · 18 Jul 2023 · Shift 2

   The ratio of the length of each equal side and the third side of an isosceles triangle is 3 : 5. If the area of the triangle is $30\sqrt{11}$ cm${}^2$ then the length of the third side (in cm) is:

   1. A.10√6
   2. B.5√6
   3. C.13√6
   4. D.11√6
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   Answer: A

2. Q642023 · 18 Jul 2023 · Shift 2

   If two qualities of pulses ‘X’ and ‘Y’ of prices Rs. 100 and Rs. 150 per kg are mixed in the ratio 7 ∶ 20, then what is the price (in Rs.) of this mixture of pulses (correct to the nearest Rupee)?

   1. A.137
   2. B.135
   3. C.134
   4. D.136
   Show answer

   Answer: A

3. Q522023 · 18 Jul 2023 · Shift 3

   D and E are points on the sides AB and AC, respectively, of ΔABC such that DE is parallel to BC and AD ∶ DB = 7 ∶ 9. If CD and BE intersect each other at F. then find the ratio of areas of ΔDEF and ΔCBF.

   1. A.49 ∶ 144
   2. B.49 ∶ 81
   3. C.49 ∶ 256
   4. D.256 ∶ 49
   Show answer

   Answer: C

4. Q652023 · 18 Jul 2023 · Shift 4

   A cone and a cylinder with equal radii have equal volumes. The ratio of their heights is:

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

5. Q682023 · 18 Jul 2023 · Shift 4

   Find the fourth proportional of 144, 192 and 216.

   1. A.361
   2. B.288
   3. C.324
   4. D.289
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   Answer: B

6. Q622023 · 17 Jul 2023 · Shift 1

   Rakshit, Ajay, and Satish are sanitation workers in a Municipal Corporation. Rakshit alone takes 20 hours to clean a drain while Ajay takes 12 hours when working alone to do the same. All three together take only 5 hours to clean the drain. In how many hours, can Satish complete the work alone?

   1. A.12
   2. B.10
   3. C.15
   4. D.18
   Show answer

   Answer: C

7. Q742023 · 17 Jul 2023 · Shift 1

   The area of two triangles is in the ratio 5 ∶ 3 and their heights are in the ratio 5 ∶ 7. Find the ratio of their bases.

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

8. Q752023 · 17 Jul 2023 · Shift 1

   If the LCM and the HCF of two numbers are 12 and 2 respectively, then find the mean proportional of these numbers.

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

   Answer: A

9. Q622023 · 17 Jul 2023 · Shift 2

   In a bag containing red, green and blue pens, the ratio of red, blue and green pens, in the given order, was 7 ∶ 4 ∶ 9. If the total number of pens in the bag was 320, how many of them were red?

   1. A.112
   2. B.105
   3. C.119
   4. D.126
   Show answer

   Answer: A

10. Q582023 · 17 Jul 2023 · Shift 3

    One quality of rice at Rs. 45 per kg is mixed with another quality at a certain rate in the ratio of 3 ∶ 2. If the mixture so formed is worth Rs. 50 per kg, what is the rate per kg of the second quality of rice?

    1. A.Rs. 57
    2. B.Rs. 57.5
    3. C.Rs. 58
    4. D.Rs. 58.5
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    Answer: B

11. Q632023 · 17 Jul 2023 · Shift 3

    A bag contains Rs. 550 in the form of 50 p, 25 p and 20 p coins in the ratio 2 ∶ 3 ∶ 5. The difference between the amounts that are contributed by the 50 p and the 20 p coins is:

    1. A.Rs. 30
    2. B.Rs. 20
    3. C.Rs. 10
    4. D.Rs. 0
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    Answer: D

12. Q702023 · 14 Jul 2023 · Shift 1

    If the four numbers, 39, 117, 17 and y are in proportion, then find the value of y.

    1. A.49
    2. B.51
    3. C.57
    4. D.85
    Show answer

    Answer: B

13. Q602023 · 14 Jul 2023 · Shift 2

    In what ratio must water be mixed with milk, costing₹32 per litre, in order to get a mixture costing₹28 per litre?

    1. A.8 ∶ 1
    2. B.1 ∶ 7
    3. C.1 ∶ 8
    4. D.7 ∶ 1
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    Answer: B

14. Q652023 · 14 Jul 2023 · Shift 2

    Study the given pie-chart and answer the question that follows. The pie-chart shows the expenditure incurred in the preparation of a book by a publisher, under various heads. What is the difference between the angle of pie-chart showing the expenditure incurred on binding and printing?

    
    1. A.15°
    2. B.20°
    3. C.18°
    4. D.22°
    Show answer

    Answer: C

15. Q692023 · 14 Jul 2023 · Shift 2

    The mean proportion between 7 and 112 is:

    1. A.42
    2. B.28
    3. C.21
    4. D.14
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    Answer: B

16. Q642023 · 14 Jul 2023 · Shift 3

    The current ages of Sudhir and Ashish are in the ratio 5 ∶ 7. Twelve years ago, the ratio of their ages was 1 ∶ 2. What will be the age of Sudhir after five years from now?

    1. A.20 years
    2. B.25 years
    3. C.33 years
    4. D.28 years
    Show answer

    Answer: B

17. Q522023 · 14 Jul 2023 · Shift 4

    The ratio of the number of boys to that of the girls in a school is 11 ∶ 15. If there are 200 more girls than boys in the school, what is the number of boys in that school?

    1. A.550
    2. B.750
    3. C.506
    4. D.605
    Show answer

    Answer: A

18. Q532023 · 14 Jul 2023 · Shift 4

    The following table shows the number of sweets manufactured by six factories. Year Factory P Q R S T U 1996 196 145 254 169 291 220 1997 172 233 141 125 167 189 1998 178 240 150 130 177 192 1999 180 260 160 140 188 195 What is the respective ratio of sweets manufactured by factories P, Q and R together in the year 1998, to the sweets manufactured by factories S, T and U together in the same year?

    
    1. A.568 ∶ 499
    2. B.61 ∶ 72
    3. C.61 ∶ 42
    4. D.40 ∶ 51
    Show answer

    Answer: A

19. Q602023 · 14 Jul 2023 · Shift 4

    In a mixture of 55 litres, fruit juice and water are in the ratio of 4 ∶ 1. How much water (in litres) must be added to make the mixture ratio 2 ∶ 1?

    1. A.9
    2. B.22
    3. C.11
    4. D.12
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    Answer: C

20. Q752023 · 14 Jul 2023 · Shift 4

    The ages of Gyanendra and Arbind are in the ratio 6 ∶ 5. If the sum of their ages is 55 years, then what will be the ratio of their ages after seven years from now?

    1. A.5 ∶ 6
    2. B.37 ∶ 32
    3. C.32 ∶ 37
    4. D.6 ∶ 5
    Show answer

    Answer: B