Ratio & Proportion · SSC CGL previous year questions

2025 111 questions

1. Q722025 · 12 Sept 2025 · Shift 1

   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
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   Answer: A

2. Q522025 · 12 Sept 2025 · Shift 2

   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
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   Answer: B

3. Q612025 · 12 Sept 2025 · Shift 2

   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
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   Answer: B

4. Q632025 · 12 Sept 2025 · Shift 2

   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
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   Answer: B

5. Q642025 · 12 Sept 2025 · Shift 2

   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
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   Answer: B

6. Q722025 · 12 Sept 2025 · Shift 2

   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
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   Answer: C

7. Q742025 · 12 Sept 2025 · Shift 2

   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°
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   Answer: A

8. Q572025 · 12 Sept 2025 · Shift 3

   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
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   Answer: A

9. Q582025 · 12 Sept 2025 · Shift 3

   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
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   Answer: B

10. Q732025 · 12 Sept 2025 · Shift 3

    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
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    Answer: B

11. Q752025 · 12 Sept 2025 · Shift 3

    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
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    Answer: C