Ratios And Proportions Quiz Questions

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  • 1/109 Questions

    If a:b = 3:4 the value of (2a+3b): (3a+4b) 

    • 18:25
    • 8:25
    • 17:24
    • 24:17
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Ratios And Proportions Quiz Questions - Quiz
About This Quiz

This 'Ratios and Proportions' quiz assesses understanding of various ratio forms including triplicate, sub-triplicate, duplicate, and inverse ratios. It also tests knowledge of proportion principles essential for mathematical reasoning and problem-solving in real-world scenarios.

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  • 2. 

    What must be added to the terms of the ratio 3:7 to make it equal to 3:4.  

    • 7

    • 9

    • 15

    • 17

    Correct Answer
    A. 9
    Explanation
    To make the ratio 3:7 equal to 3:4, we need to find a common multiplier for both ratios. The common multiplier for 7 and 4 is 28. To find the corresponding term for 4 in the ratio 3:7, we divide 28 by 7 (the denominator of the original ratio) and multiply by 3 (the numerator of the original ratio). This gives us 12. Therefore, we need to add 12 to the terms of the original ratio to make it equal to 3:4. The answer choice 9 is incorrect.

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  • 3. 

    A man has Rs.2,000, part of which be lend at 5% and the rest at 4%. The whole annual interest received was Rs.92. How much did be lend at 5%?  

    • 1200

    • 1400

    • 1800

    • None

    Correct Answer
    A. 1200
    Explanation
    The man lent Rs.1200 at 5% interest because this amount, when multiplied by 0.05 (5%), would yield an interest of Rs.60. The remaining amount of Rs.800 must have been lent at 4% interest because this amount, when multiplied by 0.04 (4%), would yield an interest of Rs.32. The total interest received, Rs.92, is the sum of the interest earned from both amounts.

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  • 4. 

    The sub-triplicate ratio of 1:1 is 

    • 3:3

    • 1:1

    • 2:2

    • None

    Correct Answer
    A. 1:1
    Explanation
    The sub-triplicate ratio of 1:1 is 1:1 because when a ratio is sub-triplicate, it means that the terms of the ratio are in the same proportion as the terms of a triplicate ratio. In a triplicate ratio, each term is raised to the power of 3. Since 1 raised to the power of 3 is still 1, the sub-triplicate ratio of 1:1 remains the same. Therefore, the correct answer is 1:1.

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  • 5. 

    Find three numbers which are in the ratio of 3:4:5 such that the sum of their cubes is 1728.  

    • 6,8,10

    • 10,8,6

    • 12,8,20

    • None of these

    Correct Answer
    A. 6,8,10
    Explanation
    The three numbers that are in the ratio of 3:4:5 are 6, 8, and 10. If we calculate the sum of their cubes, we get 6^3 + 8^3 + 10^3 = 216 + 512 + 1000 = 1728. Therefore, the sum of their cubes is indeed 1728, confirming that the answer is 6, 8, 10.

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  • 6. 

    Daily earnings of two persons are in the ratio 4:5 and their daily expenses are in the ratio 7:9. If each saves Rs.50 per day, their daily incomes in Rs. are:  

    • (40,50)

    • (50,40)

    • (400,500)

    • None of these

    Correct Answer
    A. (400,500)
    Explanation
    The given information states that the ratio of the daily earnings of the two persons is 4:5 and the ratio of their daily expenses is 7:9. This means that for every 4 units of earnings, the first person spends 7 units and for every 5 units of earnings, the second person spends 9 units. Since both persons save Rs.50 per day, we can set up the equation 4x - 7x = 50 and 5x - 9x = 50, where x represents the common multiple. Solving these equations gives us x = 100. Therefore, the daily incomes of the two persons are 4x = 400 and 5x = 500 in Rs.

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  • 7. 

    94 is divided into two parts in such a way that the fifth part of the first and the eight part of the second are in the ratio 3:4. The first part is:  

    • 27

    • 30

    • 36

    • 48

    Correct Answer
    A. 30
    Explanation
    The given question states that 94 is divided into two parts. Let's assume the first part is x and the second part is 94 - x. According to the given information, the fifth part of the first part is x/5 and the eighth part of the second part is (94-x)/8. These two parts are in the ratio 3:4, so we can set up the equation (x/5) / ((94-x)/8) = 3/4. By cross-multiplying and simplifying, we get 8x = 15(94-x). Solving this equation, we find x = 30. Therefore, the first part is 30.

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  • 8. 

    The ratio between days of non-leap year and leap year is  

    • 366 : 365

    • 365:366

    • 1:365

    • 31:30

    Correct Answer
    A. 365:366
    Explanation
    The ratio between days of a non-leap year and a leap year is 365:366. This is because a non-leap year has 365 days, while a leap year has an extra day, making it 366 days.

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  • 9. 

    What is the ratio between a metre and kilometer?  

    • 1/10

    • 1/100

    • 1/1000

    • 1/10000

    Correct Answer
    A. 1/1000
    Explanation
    The ratio between a meter and a kilometer is 1/1000. This is because there are 1000 meters in one kilometer.

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  • 10. 
    What is the value of  if  =5       - ProProfs

    What is the value of  if  =5      

    • 2/3

    • 3/2

    • 2/6

    • 4/3

    Correct Answer
    A. 3/2
  • 11. 

    Division of Rs.1100 into 3 parts in the ratio of 4:5:6, the numbers are:  

    • 293.33,25,15

    • 293.33,366.67,440

    • 400,300,400

    • 200,500,400

    Correct Answer
    A. 293.33,366.67,440
  • 12. 
    The ratio of the quantities is 10:11. If the consequent of its inverse ratio is 10, the antecedent is Options : (A) 11 (B)10  (C) (D)   - ProProfs

    The ratio of the quantities is 10:11. If the consequent of its inverse ratio is 10, the antecedent is Options : (A) 11 (B)10  (C) (D)  

    • A

    • B

    • C

    • D

    Correct Answer
    A. A
    Explanation
    The given question states that the ratio of the quantities is 10:11. The inverse ratio of this would be 11:10. Now, if the consequent of this inverse ratio is 10, it means that the antecedent would be 11. Therefore, the antecedent is 11.

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  • 13. 

    The fourth proportional between (x+y), (x+y)2, (x-y) is Options : (A) (x + y)                   (B)  x2-y2 (C)  (x-y)       (D)  (x+y)2

    • A

    • B

    • C

    • D

    Correct Answer
    A. B
    Explanation
    The fourth proportional between (x+y), (x+y)2, and (x-y) can be found by using the formula for fourth proportional: (x+y)2 = (x-y) * fourth proportional. Rearranging the formula, we get fourth proportional = (x+y)2 / (x-y). Therefore, the correct answer is (B) x2-y2.

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  • 14. 

    If 0.75 : x = 5 :8 then x is equal to  

    • 1.20

    • 1.25

    • 1.12

    • 1.30

    Correct Answer
    A. 1.20
    Explanation
    The given ratio 0.75 : x = 5 : 8 can be simplified by cross-multiplication. Multiplying 0.75 with 8 gives us 6, and multiplying x with 5 gives us 5x. Therefore, we have the equation 6 = 5x. Dividing both sides by 5 gives us x = 6/5, which is equal to 1.20.

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  • 15. 
    The value of 'x' is  =  - ProProfs

    The value of 'x' is  = 

    • 10

    • 20

    • 30

    • 40

    Correct Answer
    A. 20
    Explanation
    The correct answer is 20 because it is the only option that matches the value of x.

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  • 16. 

    If a:b=2:3 and b:c=4:5, then ratio a:b:c= 

    • 8:12:15

    • 4:6:15

    • 8:16:25

    • None of these

    Correct Answer
    A. 8:12:15
    Explanation
    The given information states that the ratio of a to b is 2:3 and the ratio of b to c is 4:5. To find the overall ratio of a, b, and c, we can combine these ratios. Since the ratio of a to b is 2:3 and the ratio of b to c is 4:5, we can multiply the two ratios together to get the overall ratio of a to b to c. Multiplying 2:3 by 4:5 gives us 8:12:15. Therefore, the correct answer is 8:12:15.

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  • 17. 

    The third proportional between 2 & 7 is 

    • 49/2

    • 49

    • 2

    • 7

    Correct Answer
    A. 49/2
    Explanation
    The third proportional between 2 and 7 can be found by multiplying the second term (7) by the ratio of the third term (unknown) to the first term (2). Therefore, the third proportional is 7 * (unknown/2). To find the value of the unknown, we can set up the equation 7 * (unknown/2) = 49 and solve for the unknown. Simplifying the equation, we get (unknown/2) = 7, and multiplying both sides by 2 gives us the value of the unknown, which is 49/2.

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  • 18. 

    There are 361 doctors and nurses in a hospital. If the ratio of the doctors to the nurses is 8:11, then how many nurses are there in the hospital?  

    • 152

    • 209

    • 57

    • 171

    Correct Answer
    A. 209
    Explanation
    The ratio of doctors to nurses is 8:11. This means that for every 8 doctors, there are 11 nurses. If there are 361 doctors and nurses in total, we can set up the equation 8x + 11x = 361, where x represents the common ratio between doctors and nurses. Solving for x, we find that x = 19. Multiplying this by the ratio for nurses (11), we get 209 nurses in the hospital.

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  • 19. 
    If  when  then the process is called - ProProfs

    If  when  then the process is called

    • Invertendo

    • Alternendo

    • Componendo and dividendo

    • None

    Correct Answer
    A. Componendo and dividendo
    Explanation
    Componendo and dividendo is a Latin phrase that translates to "by composition and division." It refers to a mathematical method used to solve equations or prove proportions by adding or subtracting the same quantity to both sides of an equation or by multiplying or dividing both sides of an equation by the same quantity. This process helps in simplifying the equation and finding the solution.

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  • 20. 

    The ratio between consonants and alphabets is

    • 5/21

    • 21/26

    • 5/21

    • 5/26

    Correct Answer
    A. 21/26
    Explanation
    The given answer, 21/26, suggests that the ratio between consonants and alphabets is 21 to 26. This means that out of every 26 alphabets, 21 of them are consonants.

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  • 21. 
    The four numbers  are proportional ,then x is - ProProfs

    The four numbers  are proportional ,then x is

    • Bc/a

    • Ac/b

    • Ab/c

    • Abc

    Correct Answer
    A. Bc/a
    Explanation
    If the four numbers are proportional, it means that they can be expressed as a ratio of each other. In this case, the ratio of the numbers can be written as a/b = c/d = x/y. To find the value of x, we can cross-multiply the ratios a/b = c/d and x/y = c/d, which gives us ad = bc. Dividing both sides of the equation by a, we get d = bc/a. Therefore, x is equal to bc/a.

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  • 22. 
    The sub-duplicate ratio of 324 : 361  is Options: (A) 18x: 19y  (B) 18x2:19y3 (C) 19y3:18x     (D) 19:18 - ProProfs

    The sub-duplicate ratio of 324 : 361  is Options: (A) 18x: 19y  (B) 18x2:19y3 (C) 19y3:18x     (D) 19:18

    • A

    • B

    • C

    • D

    Correct Answer
    A. B
  • 23. 

    The ages of two persons are in the ratio 5:7. Eighteen years ago their ages were in the ratio of 8:13 their present ages (in years) are:  

    • 50,70

    • 70,50

    • 40,56

    • None of these

    Correct Answer
    A. 50,70
    Explanation
    The ages of the two persons are in the ratio 5:7. This means that for every 5 years in age that the first person has, the second person has 7 years in age.

    Eighteen years ago, their ages were in the ratio 8:13. This means that for every 8 years in age that the first person had 18 years ago, the second person had 13 years in age.

    To find their present ages, we need to determine the common multiple of both ratios. The common multiple of 5 and 8 is 40, and the common multiple of 7 and 13 is 91.

    So, the present ages of the two persons are 5 * 40 = 200 and 7 * 40 = 280.

    Therefore, the answer is 200, 280.

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  • 24. 
    The triplicate ratio of  : Options: (A) b: a     (B) a : b (C) a3: b3 (D) b3 : a3   - ProProfs

    The triplicate ratio of  : Options: (A) b: a     (B) a : b (C) a3: b3 (D) b3 : a3  

    • A

    • B

    • C

    • D

    Correct Answer
    A. B
    Explanation
    The correct answer is B because the question asks for the triplicate ratio, which means the ratio of the cube of a to the cube of b. Option B, a : b, represents the correct triplicate ratio. Option A, b : a, represents the inverse of the triplicate ratio. Option C, a3 : b3, represents the cube of the triplicate ratio. Option D, b3 : a3, represents the inverse of the cube of the triplicate ratio.

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  • 25. 

    The ratio of the incomes of A and B is 5:4 and the ratio of their expenditures is 3:2, If at the end of the year, each saves Rs.1600, then the income of A is  

    • Rs.3400

    • Rs.3600

    • Rs.4000

    • Rs.4400

    Correct Answer
    A. Rs.4000
    Explanation
    The ratio of the incomes of A and B is 5:4, which means that A earns 5 parts and B earns 4 parts. The ratio of their expenditures is 3:2, which means that A spends 3 parts and B spends 2 parts. If at the end of the year, each saves Rs.1600, it means that A saves 2 parts and B saves 2 parts. Since A saves 2 parts and B saves 2 parts, and A earns 5 parts, it can be concluded that each part is equal to Rs.800 (1600/2). Therefore, the income of A is 5 parts multiplied by Rs.800, which equals Rs.4000.

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  • 26. 
    If A = then A:B:C is - ProProfs

    If A = then A:B:C is

    • 2:3:4

    • 2:3:5

    • 1:2:5

    • 1:2:3

    Correct Answer
    A. 1:2:5
    Explanation
    The correct answer is 1:2:5. This can be determined by looking at the pattern in the given equation A:B:C. The ratio between A and B is 1:2, and the ratio between B and C is 2:5. Therefore, the overall ratio between A, B, and C is 1:2:5.

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  • 27. 

    The triplicate ratio of 1:2 is 

    • 1:8

    • 1:4

    • 4 :1

    • 8 :1

    Correct Answer
    A. 1:8
    Explanation
    The triplicate ratio of 1:2 means that each term in the ratio is raised to the power of 3. Therefore, if we raise 1 to the power of 3, we get 1, and if we raise 2 to the power of 3, we get 8. So, the triplicate ratio of 1:2 is 1:8.

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  • 28. 
    The duplicate ratio of  : is Options : (A) b:a (B)  : (C) a:b (D):  - ProProfs

    The duplicate ratio of  : is Options : (A) b:a (B)  : (C) a:b (D): 

    • A

    • B

    • C

    • D

    Correct Answer
    A. C
    Explanation
    The correct answer is C. The duplicate ratio of a to b is represented as a:b.

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  • 29. 

    The compound ratio of (x - y): (x2 - y2) and (x+y): 1 is  

    • (x-y):(x+y)

    • X:y

    • Y:x

    • 1:1

    Correct Answer
    A. 1:1
    Explanation
    The compound ratio of (x - y): (x2 - y2) and (x+y): 1 is 1:1. This means that the ratio of (x - y) to (x2 - y2) is the same as the ratio of (x+y) to 1. In other words, the two given ratios are equal to each other.

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  • 30. 

    If p : q = r : s, implies q : p = s : r then the process is called  

    • Componendo

    • Invertendo

    • Alternendo

    • Dividendo

    Correct Answer
    A. Invertendo
    Explanation
    Invertendo is the correct answer because it refers to the process of interchanging the antecedents and consequents of a proportion. In this case, if p : q = r : s, then by inverting the ratio, we get q : p = s : r.

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  • 31. 
    If A : C = :and C : B = 0.85 : 0.1 then find A: B - ProProfs

    If A : C = :and C : B = 0.85 : 0.1 then find A: B

    • 493:76

    • 76:493

    • 4.93:7.6

    • 49.3:0.76

    Correct Answer
    A. 493:76
    Explanation
    The ratio A:C is given as 0.85:1 and the ratio C:B is given as 0.1:1. To find the ratio A:B, we can multiply the two ratios together.
    0.85 * 0.1 = 0.085
    So, the ratio A:B is 0.085:1, which can be simplified to 493:76.

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  • 32. 
    What is the value of  if  = 7 - ProProfs

    What is the value of  if  = 7

    • 4/3

    • 2/3

    • 2/6

    • 7/8

    Correct Answer
    A. 4/3
  • 33. 
    The duplicate ratio of  is :   - ProProfs

    The duplicate ratio of  is :  

    • 9x:16y

    • 3x:4y

    • 16y:9x

    • None

    Correct Answer
    A. 9x:16y
    Explanation
    The given correct answer is 9x:16y. This ratio represents the duplicate ratio of some unknown values x and y. It implies that for every 9 occurrences of x, there are 16 occurrences of y. This ratio does not simplify further, so the answer is 9x:16y.

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  • 34. 

    The mean proportional between 64 and 81 is:  

    • 48

    • 68

    • 72

    • None

    Correct Answer
    A. 72
    Explanation
    The mean proportional between two numbers is the square root of their product. In this case, the square root of (64 * 81) is 72. Therefore, the correct answer is 72.

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  • 35. 

    Some one-rupee, 50-paise and 25-paise coins make up Rs.93.75 and their numbers are in the proportion of 3:4:5. Find the number of each type of coins,   

    • 40,70,75

    • 46,58,75

    • 42,56,70

    • 45,60,75

    Correct Answer
    A. 45,60,75
    Explanation
    The correct answer is 45, 60, 75.

    To find the number of each type of coins, we can set up a system of equations. Let's represent the number of one-rupee coins, 50-paise coins, and 25-paise coins as x, y, and z respectively.

    From the given information, we know that the total value of the coins is Rs.93.75, which can be expressed as:

    x + 0.50y + 0.25z = 93.75

    We also know that the numbers of coins are in the proportion of 3:4:5, so we can write:

    x:y:z = 3:4:5

    To solve this system of equations, we can use substitution or elimination method. By substituting the value of x from the second equation into the first equation, we can solve for y and z.

    After solving, we get x = 45, y = 60, and z = 75, which means there are 45 one-rupee coins, 60 50-paise coins, and 75 25-paise coins.

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  • 36. 

    A mixture contains alcohol and water in the ratio 4:3. If 7 litres of water is added to it, the ratio of alcohol and water becomes 3:4. the quantity of alcohol in the mixture is:  

    • 8 Lts

    • 12 Lts

    • 16 Lts

    • 5 Lts

    Correct Answer
    A. 12 Lts
    Explanation
    When 7 liters of water is added to the mixture, the ratio of alcohol to water becomes 3:4. This means that for every 3 parts of alcohol, there are 4 parts of water.

    Since the original ratio of alcohol to water is 4:3, we can assume that there are 4 parts of alcohol and 3 parts of water in the original mixture.

    When 7 liters of water is added, the amount of water becomes 3 + 7 = 10 liters.

    Since the ratio of alcohol to water is 3:4, the amount of alcohol in the mixture can be calculated using the proportion:

    4 parts of alcohol = 10 liters of water

    1 part of alcohol = 10/4 = 2.5 liters of water

    4 parts of alcohol = 4 * 2.5 = 10 liters of alcohol

    Therefore, the quantity of alcohol in the mixture is 10 liters.

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  • 37. 
    If p : q is the sub-duplicate ratio of p-x2: q-x2 then x2 is Options : (A) (B)  (C) (D)  - ProProfs

    If p : q is the sub-duplicate ratio of p-x2: q-x2 then x2 is Options : (A) (B)  (C) (D) 

    • A

    • B

    • C

    • D

    Correct Answer
    A. B
    Explanation
    The sub-duplicate ratio of p-x^2: q-x^2 can be written as √(p-x^2) : √(q-x^2). Therefore, if p:q is the sub-duplicate ratio of p-x^2:q-x^2, then x^2 must be equal to the square of the sub-duplicate ratio, which is (√p : √q)^2 = (p/q). So, the correct answer is B.

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  • 38. 

    Rs.1,500/- is invested in two parts. If one part be invested at 6% per annum and the other at 5% p.a. the total interest from both the investments is Rs.85/-. How much be invested at 5% p.a.  

    • 2500

    • 1500

    • 500

    • None

    Correct Answer
    A. 500
    Explanation
    Let the amount invested at 5% be x. Then, the amount invested at 6% would be (1500 - x). The interest earned from the investment at 5% would be (x * 5/100) and the interest earned from the investment at 6% would be ((1500 - x) * 6/100). The total interest earned is given as Rs. 85. Therefore, the equation can be formed as x * 5/100 + (1500 - x) * 6/100 = 85. Solving this equation, we find x = 500. Hence, Rs. 500 should be invested at 5% p.a.

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  • 39. 

    The fourth proportional to the number 40,14,20 is

    • 14

    • 7

    • 15

    • 28

    Correct Answer
    A. 7
    Explanation
    The fourth proportional to the numbers 40, 14, and 20 can be found by dividing the product of the second and third numbers (14 * 20 = 280) by the first number (40). This calculation gives us 7, which is the fourth proportional to the given numbers.

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  • 40. 

    If 5 : 7 = x: 28 then x is

    • 20

    • 28

    • 35

    • 7

    Correct Answer
    A. 20
    Explanation
    The given equation is a proportion, where the ratio of 5 to 7 is equal to the ratio of x to 28. To find the value of x, we can cross-multiply and solve for x. Cross-multiplying gives us 5 * 28 = 7 * x. Simplifying this equation, we get 140 = 7x. Dividing both sides by 7, we find that x = 20. Therefore, the value of x is 20.

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  • 41. 
    If then  - ProProfs

    If then 

    • 8

    • 5

    • 4

    • None

    Correct Answer
    A. None
  • 42. 

    The fourth proportional of 0.2, 0.12 and 0.3 is  

    • 0.18

    • 1.12

    • 1.20

    • 1.32

    Correct Answer
    A. 0.18
    Explanation
    The fourth proportional of 0.2, 0.12, and 0.3 is 0.18. This means that if we have a proportion where the first term is 0.2, the second term is 0.12, the third term is 0.3, then the fourth term will be 0.18.

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  • 43. 

    The ratio of 43.5 : 25 is same as :  

    • 2:1

    • 4:1

    • 7:5

    • 7:1

    Correct Answer
    A. 4:1
    Explanation
    The ratio of 43.5 to 25 can be simplified by dividing both numbers by 25. This gives us a simplified ratio of 1.74 to 1. Since we are looking for a ratio in the answer choices, we can multiply both numbers by a common factor to get whole numbers. Multiplying by 4 gives us a ratio of 6.96 to 4, which can be simplified to 4:1.

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  • 44. 
     If 2x+3 : 5x - 38 be the duplicate ratio of , then the value of x is : - ProProfs

     If 2x+3 : 5x - 38 be the duplicate ratio of , then the value of x is :

    • 12

    • 14

    • 16

    • 18

    Correct Answer
    A. 16
    Explanation
    The given question is asking for the value of x when the ratio 2x+3:5x-38 is a duplicate ratio. A duplicate ratio is a ratio that is equal to the square of another ratio. To find the value of x, we need to set up the equation (2x+3)^2 = (5x-38)^2 and solve for x. However, without further information or context, it is not possible to determine the value of x.

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  • 45. 

    Two numbers are in the ratio 8:11. If 6 be subtracted from each, the numbers are in the ratio 7:10. The numbers are:  

    • 48,66

    • 66,48

    • 32,44

    • None

    Correct Answer
    A. 48,66
    Explanation
    Let the two numbers be 8x and 11x. When 6 is subtracted from each, the new numbers become 8x-6 and 11x-6. According to the given information, (8x-6)/(11x-6) = 7/10. Cross multiplying and simplifying this equation gives 80x - 42 = 77x - 42. Solving for x, we get x = 3. Substituting this value back into the original expression, the numbers are 8(3) = 24 and 11(3) = 33. Therefore, the correct answer is 48,66.

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  • 46. 

    A sum of Rs.53 is divided among A, B, C in such a way that A gets Rs.7 more than what B gets and B gets Rs.8 more than what C gets. The ratio of their shares is: 

    • 16:9:18

    • 25:18:10

    • 18:25:10

    • 15:8:30

    Correct Answer
    A. 25:18:10
    Explanation
    Let the amount that C gets be x.
    According to the given information, B gets Rs.8 more than C, so B gets x+8.
    And A gets Rs.7 more than B, so A gets (x+8)+7 = x+15.
    The sum of their shares is 53, so we can write the equation as x + (x+8) + (x+15) = 53.
    Simplifying the equation, we get 3x + 23 = 53.
    Solving for x, we find that x = 10.
    Therefore, the shares of A, B, and C are x+15 = 25, x+8 = 18, and x = 10 respectively. So the ratio of their shares is 25:18:10.

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  • 47. 

    Rs.1360 have been divided among A,B,C such that A gets (2/3) of what B gets and B gets (1/4) of what C gets. Then B's share is:  

    • Rs.120

    • Rs.160

    • Rs.240

    • Rs.320

    Correct Answer
    A. Rs.240
    Explanation
    Let's assume that C's share is x. According to the given information, B's share is (1/4) of C's share, which is (1/4)x. And A's share is (2/3) of B's share, which is (2/3)((1/4)x) = (1/6)x. The sum of A, B, and C's shares is equal to Rs.1360. So, (1/6)x + (1/4)x + x = 1360. Simplifying this equation, we get (7/12)x = 1360. Solving for x, we find that x = 240. Therefore, B's share is (1/4)x = (1/4)(240) = Rs.240.

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  • 48. 

    A bag contains Rs.187 in the form of 1 rupee, 50 paise and 10 paise coins in the ratio 3:4:5. Find the number of each type of coins.  

    • 102,136,170

    • 136,102,170

    • 170,102,136

    • None of these

    Correct Answer
    A. 102,136,170
    Explanation
    The ratio of the number of 1 rupee, 50 paise, and 10 paise coins is given as 3:4:5. Let's assume that the number of 1 rupee coins is 3x, the number of 50 paise coins is 4x, and the number of 10 paise coins is 5x.

    The value of 3x 1 rupee coins is 3x rupees.
    The value of 4x 50 paise coins is 2x rupees.
    The value of 5x 10 paise coins is 0.5x rupees.

    The total value of the coins is 3x + 2x + 0.5x = 5.5x rupees.

    According to the question, the total value of the coins is 187 rupees.

    Therefore, 5.5x = 187.

    Solving this equation, we find that x = 34.

    So, the number of 1 rupee coins is 3x = 3 * 34 = 102.
    The number of 50 paise coins is 4x = 4 * 34 = 136.
    The number of 10 paise coins is 5x = 5 * 34 = 170.

    Hence, the correct answer is 102, 136, 170.

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  • 49. 
    The ratio compounded of (a + b) : (a-b) and -b2: (a + b)2 is   - ProProfs

    The ratio compounded of (a + b) : (a-b) and -b2: (a + b)2 is  

    • (a + b): 1

    • (a-b):l

    • 1:1

    • None

    Correct Answer
    A. 1:1
    Explanation
    The given ratio is 1:1. This can be determined by comparing the two ratios provided in the question. Since both ratios have the same terms (a+b) and (a-b), it can be concluded that the ratio is 1:1.

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  • Current Version
  • Mar 20, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Sep 14, 2011
    Quiz Created by
    Sweetsalman123
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