Ratio and Proportion problems
- 1. A certain amount of money is divided between A and B in the ratio of 5:6. If B gets Rs. 360, the amount is
Options- A. 660
- B. 560
- C. 680
- D. 580 Also asked in: Bank Exams
Correct Answer: 660
- 2. If the three numbers in the ratio 3:2:5 be such that the sum of the squares is equal to 1862 then which number is the middle one.
Options- A. 16
- B. 14
- C. 13
- D. 15 Also asked in: Bank Exams
Correct Answer: 14
- 3. Before a battle there were the ratio of captains to soldiers was 2 : 7. During the war 25 captains and 100 soldiers were martyred. The new ratio of captains to soldiers became 3 : 10. What is the number of soldiers after the war?
Options- A. 250
- B. 200
- C. 150
- D. 100 Also asked in: Bank Exams
Correct Answer: 250
- 4. Divide Rs. 210 in the ratio 2:3:4:5. Th respective amounts are:
Options- A. 30,45,65&70
- B. 30,45,60&75
- C. 35,40,60&75
- D. 30,40,60&80 Also asked in: Bank Exams
Correct Answer: 30,45,60&75
- 5. The income of X, Y and Z are in the ratio of 3 : 4 : 2 and their expenses in the ratio of 5 : 5 : 2. If X saves Rs 3000 out of an income of Rs 18000, then whatwill be the saving (in RS) of Y
Options- A. 4500
- B. 9000
- C. 6000
- D. 7500 Discuss
Correct Answer: 9000
- 6. P and Q are two alloys which are prepared by mixing tin and lead in the ratio of 12 : 5 and 4 : 3 respectively. If equal quantities of alloys are melted to form athird alloy R, then what is the ratio of tin and lead in alloy R?
Options- A. 84 : 65
- B. 57 : 35
- C. 76 : 43
- D. 78 : 47 Discuss
Correct Answer: 76 : 43
- 7. The ratio of three numbers is 2 : 3 : 5. If the sum of the three numbers is 275, then what is the largest among the three numbers?
Options- A. 142
- B. 137.5
- C. 82.5
- D. 110.5 Also asked in: Bank Exams
Correct Answer: 137.5
- 8. If a : b is 32 : 35 and b : c is 21 : 32, then a : c is?
Options- A. 5 : 3
- B. 3 : 5
- C. 1 : 1
- D. 5 : 7 Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 3 : 5
- 9. In an army selection process, the ratio of selected to unselected candidates was 6:1. If 30 less had applied and 10 less selected, the ratio of selected to unselected would have been 7:1. How many candidates had applied for the process?
Options- A. 910
- B. 1820
- C. 455
- D. 2730 Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 910
- 10. Of three positive numbers, the ratio of the first and second numbers is 3:4 & that of the second and third numbers is 5:6. The product of the second and third numbers is 4320. What is the sum of three numbers?
Options- A. 167
- B. 177
- C. 187
- D. 197 Also asked in: Bank Exams
Correct Answer: 177
Explanation:
Let the second & third numbers are 2x & 3x respectively.
ATQ,
5x*6x = 4320
30*x*x = 4320
x*x = 144
x=12
Hence, second number = 5x = 5*12 = 60
Third number = 6x = 6*12 = 72
Ratio of first & second number = ¾
Hence, first number = ( ¾)*60 = 45
Sum of these 3 numbers = 60+72+45 = 177
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