Ratio and Proportion – SSC CGL Tier 1 previous year questions

Here is the compilation of all previous year question of Ratio and Proportion – Quantitative aptitude with answers.

Question 1  – Rs 3200 is divided among A, B and C in the ratio of 3 : 5 : 8 respectively. What is the difference (in Rs) between the share of B and C? [08-AUG-2017 Shift-1 ]

Options:
1) 400
2) 600
3) 800
4) 900

Correct Answer: 600

Question 2 – If A/3 = B/2 = C/5, then what is the value of ratio (C + A)2 : (A + B)2 : (B + C)2? [08-AUG-2017 Shift-2 ]

Options:
1) 9 : 4 : 25
2) 25 : 4 : 9
3) 64 : 25 : 49
4) 49 : 25 : 64

Correct Answer: 64 : 25 : 49

Question 4 :

Ratio and Proportion Question

Options:
1) 3 : 2 : 5
2) 3 : 35 : 14
3) 5 : 7 : 5
4) 35 : 6 : 15

Correct Answer: 35 : 6 : 15

Question:6) A company, at the time of inflation reduced the staff in the ratio 5 : 3 and average salary per employee is increased in the ratio 7 : 8. By doing so, the company saved Rs 55000. What was the initial expenditure (in Rs) of company?[ 12-AUG-2017 Shift-1]

Options:
1) 155000
2) 160000
3) 175000
4) 215000 

Correct Answer: 175000 

Question:8)The ratio of number of cans of orange, pineapple and mixed fruit juices kept in a store is 8 : 9 : 15. If the store sells 25%, 33.33% and 20% of orange, pineapple and mixed fruit juices cans respectively, then what is the ratio of number of cans of these juices in the remaining stock?[16-AUG-2017 Shift-1]

Options:
1) 1 : 1 : 2
2) 6 : 6 : 13
3) 12 : 15 : 19
4) 4 : 9 : 13

Correct Answer: 1 : 1 : 2

Question:9)Three partners A, B and C share profit such that three times the share of A is equal to two times the share of B and equal to 12 times the share of C. What is the ratio of the profits of A, B and C respectively[16-AUG-2017 Shift-2]

Options:
1) 3 : 2 : 12
2) 12 : 2 : 3
3) 4 : 6 : 1
4) 1 : 6 : 4

Correct Answer: 4 : 6 : 1

Question:10) What is the third proportional to 10 and 25?[17-AUG-2017 Shift-1]

Options:
1) 125
2) 150
3) 62.5
4) 225

Correct Answer: 62.5

Question:11) The flight fare between two cities is increased in the ratio 11:13. What is the increase (in Rs) in the fare, if the original fare was Rs 12100?[17-AUG-2017 Shift-2]

Options:
1) 14300
2) 2200
3) 22000
4) 1430

Correct Answer: 2200

Question:12) Price of a diamond is directly proportional to square of its weight. A man broke the diamond accidently in three pieces in the ratio of 3 : 5 : 7 and thus loses Rs 42600. What was the original price (in Rs) of the diamond?[16-AUG-2017 Shift-3]

Options:
1) 11786
2) 60000
3) 67500
4) 75000

Correct Answer: 67500

Question:13)Profit of Rs 1,03,500 has to be divided between three partners A, B and C in the ratio 11:7:5. How much amount (in Rs) does B get?[17-AUG-2017 Shift-3]

Options:
1) 22,500
2) 49,500
3) 50,500
4) 31,500

Correct Answer: 31,500

Question:14) What is the fourth proportional to 72, 168 and 150?[18-AUG-2017 Shift-1]

Options:
1) 450
2) 300
3) 350
4) 400

Correct Answer: 350

Question:15) If 3A = 2B = 4C; then what is A : B : C?[18-AUG-2017 Shift-2]

Options:
1) 3 : 2 : 4
2) 6 : 4 : 3
3) 4 : 6 : 3
4) 2 : 3 : 4

Correct Answer: 4 : 6 : 3

Question:16) What number should be added to each of the numbers 94, 24, 100 and 26, so that the resulting numbers are in continued proportion?[18-AUG-2017 Shift-3]

Options:
1) 10
2) 11
3) 9
4) 8

Correct Answer: 11

Question:17)The ratio of present ages of R and S is 11:17. Before 11 years the ratio of their ages was 11:20. What is R’s present age (in years)?[19-AUG-2017 Shift-3]

Options:
1) 51
2) 33
3) 22
4) 40

Correct Answer: 33

Question:18) Profit of Rs 12,400 has to be divided between three partners A, B and C in the ratio 5:7:8. How much does B get (in Rs)?[20-AUG-2017 Shift-1]

Options:
1) 4340
2) 3440
3) 3340
4) 4430

Correct Answer: 4340

Question:19)In an MBA selection process, the ratio of selected to unselected was 11:2. If 40 less had applied and 20 less selected, the ratio of selected to unselected would have been 10:1. How many candidates had applied for the process?[20-AUG-2017 Shift-2]

Options:
1) 220
2) 260
3) 300
4) 340

Correct Answer: 260

Question:20) A’s wealth is 5/7 times of B’s and C’s is 10/7 times of B’s. What is the ratio of C’s wealth to A’s?[19-AUG-2017 Shift-1]

Options:
1) (49:100)
2) (1:2)
3) (2:1)
4) (100:49)

Correct Answer: (2:1)

Question:21) Profit of Rs 42,500 has to be divided between three partners A, B and C in the ratio 3:5:9. How much (in Rs) does A get?[21-AUG-2017 Shift-1]

Options:
1) 12500
2) 9500
3) 22500
4) 7500

Correct Answer: 7500

Question:22)A bag has Rs.51.25 in the form of 2-rupee, 50-paise and 25-paise coins in the ratio of 3:5:7. What is the total number of 50-paise coins?[21-AUG-2017 Shift-2]

Options:
1) 15
2) 35
3) 25
4) 5

Correct Answer: 25

Question:23) What is the fourth proportional to 24, 120 and 22?[21-AUG-2017 Shift-3]

Options:
1) 110
2) 120
3) 100
4) 90

Correct Answer: 110

Question:24)The compound ratio of the inverse ratios of the ratios x : yz , y : zx , z : xy is :[30 August 2016- Afternoon Shift]

Options:
1) 1 : xyz
2) xyz : 1
3) 1: 1
4) x : yz

Correct Answer: xyz : 1

Question:25)Ratio of the total production of table fans in the factory from Monday to Wednesday to that from Thursday to Saturday is?[29 August 2016- Morning Shift]

Options:
1) 19:26
2) 26:19
3) 29:16
4) 16:29

Correct Answer: 29:16

Question:26) The ratio of the number of students admitted in the year 2002 to the average of the number of students passed out in the years 2003 and 2004. is?[29 August 2016- Evening Shift]

Options:
1) 7:8
2) 8:9
3) 9:8
4) 8:7

Correct Answer: 8:9

Question:27) Find the ratio between articulatory disorder and speech disorder cases.[28 August 2016- Morning Shift]

Options:
1) 21:55
2) 55:21
3) 55:12
4) 12:55

Correct Answer: 12:55

Question:28) What is the ratio between language disorder and the average of the remaining disorder cases.[28 August 2016- Morning Shift]

Options:
1) 219:119
2) 119:219
3) 919:419
4) 729:529

Correct Answer: 219:119

Question:29)The ratio of the total expenditure on infrastructure and transport to the total expenditure on taxes and interest on loans is:[28 August 2016- Evening Shift]

Options:
1) 5:4
2) 8:7
3) 9:7
4) 13:11

Correct Answer: 13:11

Question:23) If the total expenditure of the company is Rs. 20 crores, then the ratio of expenditure on transport to that on salary is?[28 August 2016- Evening Shift]

Options:
1) 5:4
2) 4:5
3) 5:8
4) 8:5

Correct Answer: 5:8

Question:24) Ratio of the sum of foreign exchange during the years 1991-92, 1992-93, 1993-94 to that during the years 1995-96, 1996-97, 1997-98 is?[27 August 2016- Evening Shift]

Options:
1) 31: 35
2) 35:31
3) 37:52
4) 52:37

Correct Answer: 37:52

Question:25)Study the pie-chart given and answer the following questions.

The ratio between royalty and binder’s charges is

Options:
1) 5:6
2) 5:8
3) 6:5
4) 8:13

Correct Answer: 5:6

Question:26)In the given Pie-chart, the comparative study of the production of Rice, Wheat, Sugar and Tea of a country is given. Study the Pie-Chart and answer the following questions: [1 September 2016- Evening Shift]

From this diagram, the ratio of sum of wheat and sugar production to difference in production of rice and tea is

Options:
1) 4:5
2) 5:4
3) 6:1
4) 1:6

Correct Answer: 4:5

Question:27).An office opens at 10 AM and closes at 5 PM. The lunch interval is 30 minutes. The ratio of lunch interval to the total period of office hours is?[3 September 2016- Morning Shift]

Options:
1) 1:7
2) 1:14
3) 7:1
4) 14:1

Correct Answer: 1:14

Question:28)The given pie chart have shows the spendings of a country on various sports during a year. Study the graph and answer the following questions.[3 September 2016- Evening Shift]

The ratio of the total amount spent on football to that spent on hockey was

Options:
1) 1:15
2) 1:1
3) 15:1
4) 3:2

Correct Answer: 1:1

Question:29).The ratio of the ages of two boys is 3:4. After 3 years, the ratio will be 4:5.The ratio of their ages after 21 years will be?[4 September 2016- Morning Shift]

Options:
1) 14:17
2) 17:19
3) 11:12
4) 10:11

Correct Answer: 10:11

Question:30).If the ratio of two numbers is 1:5 and their product is 320, then the difference between the squares of these two numbers is?[6 September 2016]

Options:
1) 1024
2) 1256
3) 1536
4) 1435

Correct Answer: 1536

Question:31)The following pie chart shows proportion of population of seven villages in 2009. Study the pie chart and answer the questions that follows :[7 September 2016- Morning Shift]


The ratio of the below poverty line population of village ‘T’ to that of the below poverty line population of village ‘Z’ is?

Options:
1) 11:23
2) 13:11
3) 23:11
4) 11:13

Correct Answer: 23:11

Question:32)Ratio of A’s age to B’s age is 4:3. ‘A’ will be 26 years old after 6 years. The age of B now is ?[8 September 2016- Evening Shift]

Options:
1)10 years
2) 12 years
3) 21 years
4) 15 years

Correct Answer: 15 years

Question:33).If α + β = 90° and α:β = 2:1, then the ratio of cosα to cosβ is?[10 September 2016- Evening Shift]

Options:
1) 1:√3
2) 1:3
3) 1:√2
4) 1:2

Correct Answer: 1:√3

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