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- Question
- Find the compound ratio of 2 : 7, 5 : 3 and 4 : 7?
Options- A. 147 : 40
- B. 40 : 147
- C. 147 : 30
- D. 30 : 147
- Correct Answer
- 40 : 147
ExplanationRequired compound ratio = (2 x 5 x 4) / (7 x 3 x 7)
= 40/147
= 40 : 147 - 1. Tea worth ? 126 kg and ? 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . If the mixture is worth ? 153 per kg, the price of the third variety per kg will be?
Options- A. ? 169.5
- B. ? 170.0
- C. ? 175.5
- D. ? 180.0 Discuss
- 2. in a mixture of 60 L the ratio of acid and water is 2 : 1. If the ratio of acid and water is to be 1 : 2, then the amount of water (in liters) to be added to the mixture is?
Options- A. 55
- B. 60
- C. 50
- D. 45 Discuss
- 3. Out of 120 applications for a post, 70 are males and 80 have a driver's licences . What is the ratio between the minimum to maximum number number of males having driver's license?
Options- A. 1 : 3
- B. 2 : 3
- C. 3 : 7
- D. 5 : 7 Discuss
- 4. Number of employees in a factory decreases in the ratio of 8 : 7 and salary of employees increases in the ratio of 5 : 6 . Find whether the total salary given to the employee is increasing or decreased and in What ratio?
Options- A. 19 : 20 increased
- B. 20 : 19 decreased
- C. None of above
- D. 21 : 20 decreased Discuss
- 5. Nandita scores 80% marks in five subjects together, viz., Hindi, Science, Mathematics, English and Sanskrit, where in the maximum marks of each subject were 105, How many marks did Nandita score in Science, if she scored 89 marks in Hindi, 92 marks in Sanskrit, 98 marks in Mathematics and 81 marks in English?
Options- A. 60
- B. 75
- C. 65
- D. 70 Discuss
- 6. If A : B = 3 : 4 and B : C = 8 : 9 then find the value of A : B : C?
Options- A. 3 : 4 : 5
- B. 1 : 2 : 3
- C. 7 : 12 : 17
- D. 6 : 8 : 9 Discuss
- 7. If (a + b ) : (a - b) = 5 : 3, then find ( a 2 + b 2 ) : ( a 2 - b 2 ) .
Options- A. 17 : 15
- B. 25 : 9
- C. 4 : 1
- D. 16 : 1 Discuss
- 8. If x/2y = 6/7, then find the value of (x - y) / (x + y) + 14/19?
Options- A. 5
- B. 1
- C. 4
- D. 3 Discuss
- 9. The total weight of sanjay and suresh is 120 kg. If sanjay weighs 30 kg more than Suresh, then what is the ratio of the weight of suresh to that of sanjay?
Options- A. 0.4
- B. 0.6
- C. 0.3
- D. 0.25 Discuss
- 10. In a school the ratio of boy and girls is 4 : 5 When 100 girls leave the school the ratio become 6 : 7. How many boys are there in the school?
Options- A. 1800
- B. 1200
- C. 1000
- D. 1500 Discuss
Ratio and Proportion problems
Search Results
Correct Answer: ? 175.5
Explanation:
Let the cost of third variety tea will be ? N per kg
According to the question,
(126 + 135 + 2N)/4 = 153
? (261 + 2N) = 4 x 153
? 2N = 612 - 261 = 351
? N = 351/2 = 175.50
? N = ? 175.5
Hence, the cost of third variety tea is ? 175.50 per kg .
Correct Answer: 60
Explanation:
Quantity of acid in the mixture = (2/3) x 60 = 40 L
Quantity of water in the mixture = (1/3) x 60= 20 L
Let the required quantity of water be x L.
According to the question,
40/(20+ x) = 1/2
? 80 = 20 + x
? x = 60 L
Correct Answer: 3 : 7
Explanation:
Since there are 70 males out of 120 applicants, there must be 50 females out must have For the minimum number of males to have a driver's licence all 50 females must have a driver's license Thus the number of males having a driver's licence will be 80 - 50 = 30. The maximum possible number of males having a driver's license is 70. The ratio between the minimum and the maximum is 30 : 70 or 3 : 7 .
Correct Answer: None of above
Explanation:
Let total number of employees in beginning = 8K and total number of employees in present = 7K
Let salary of an employee in beginning = 5L and salary of an employee in present = 6L
? Total salary in beginning = 8K x 5L = 40KL
and total salary in present = 7K x 6L = 42 KL
Required ratio = 40KL : 42KL = 20 : 21
Clearly, salary is increased.
Correct Answer: 60
Explanation:
Total of maximum marks of all subjects = 105 x 5 = 525
Total marks obtained by Nandita = 80% of 525 = 525 x 80/100 = 420
Obtained marks of four subjects (Hindi, Sanskrit, Mathematics and English)
= 89 + 92 + 98 + 81 = 360
So, the obtained marks in Science = 420 - 360 = 60
Correct Answer: 6 : 8 : 9
Explanation:
Given that
A : B = 3 : 4 = ( 3 x 2 ) : (4 x 2 ) = 6 : 8
B : C = 8 : 9
? A : B : C = 6 : 8 : 9
As consequent of the first ratio is equal to the antecedent of second ratio.
Correct Answer: 17 : 15
Explanation:
(a + b) / (a - b) = 5/3
? 3a + 3b = 5a - 5b
? 2a = 8b
? a = 4b,
? a/b = 4/1
Now, ( a2 + b2 ) / (a2 - b2 ) = [a2 / (b2+1)] / [a2 / (b2 -1)]
= [( a/b )2 + 1] / [( a/b )2 - 1] = [( 4/1 )2 + 1] / [( 4/1 )2 - 1]
= [16 + 1] / [16 - 1] = 17/15
? ( a2 + b2 ) : ( a2 - b2 ) = 17 : 15
Correct Answer: 1
Explanation:
Given that, x/2y = 6/7
? x/y = 12/7
By componenod dividendo,
(x - y) / (x + y) = (12 - 7) / (12 + 7) = 5/19
? (x - y) / (x + y) + 14 /19 = 5/19 + 14/19 = 19/19 = 1
Correct Answer: 0.6
Explanation:
Given that
Sanjay + Suresh = 120 ...(i)
Sanjay - Suresh = 30 ...(ii)
By adding Eqs (I) and (ii) we get
2 x sanjay = 150
? sanjay = 150/2 = 75 kg
? Weight of Suresh = 75 - 35 = 45 kg
? Suresh : Sanjay = 45 : 75 = 3 : 5 = 3/5 = 0.6
Correct Answer: 1200
Explanation:
Let number of boys = 4N and number of girls = 5N
Accounting to the question
4N / (5N - 100) = 6/7
? 28N = 6 ( 5N - 100 )
? 28N = 30N - 600
? 2N = 600
? N = 600/2 = 300
? Number of boys = 4N = 4 x 300 = 1200
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