Quant Quiz On Ratio & Proportion Day 19 Bag
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- A school has 4 sections of class 12, such that half the number of students of 1st section, 1/3rd of 2nd section, 1/4th of 3rd section and 1/5th of the 4th section are equal. If total number of students in class 12 is 420, find the number of students in sections 1st and 2nd.
A) 180
B) 120
C) 240
D) 150
E) 260 - The income of A, B, and C are in the ratio 3 : 4 : 7. If their incomes be changed such that the new income of A is 50% increased, 25% increased for B and 25% decrease for C. Find the ratio of their new incomes.
A) 18 : 40 : 23
B) 17 : 12 : 21
C) 18 : 20 : 21
D) 28 : 20 : 21
E) None of these - A, B and C divide Rs 4200 among themselves in the ratio 7 : 8 : 6. If Rs 200 is added to each of their shares, what is the new ratio in which they will receive the money?
A) 9 : 8 : 7
B) 8 : 9 : 7
C) 8 : 9 : 8
D) 9 : 10 : 8
E) 7 : 9 : 8 - The ratio of the monthly salaries of A and B is in the ratio 15 : 16 and that of B and C is in the ratio 17 : 18. Find the monthly income of C if the total of their monthly salary is Rs 1,87,450.
A) Rs 66,240
B) Rs 72,100
C) Rs 62,200
D) Rs 65,800
E) Rs 60,300 - The ratio of the incomes of A and B last year was 9 : 13. Ratio of their incomes of last year to this year is 9 : 10 and 13 : 15 respectively. The sum of their present incomes is Rs 50,000. What is the present income of B?
A) Rs 32,000
B) Rs 24,000
C) Rs 20,000
D) Rs 30,000
E) None of these - A sum of Rs 315 consists of 25 paise, 50 paise and 1 Re coins in the ratio 3 : 4 :6. What is the number of each kind of coin respectively?.
A) 216, 144, 27
B) 108, 144, 216
C) 27, 72, 216
D) 120, 35, 108
E) 102, 150, 210 - Rs 650 was divided among 3 children in the ratio 2 : 4 : 7. Had it been divided in the ratio 1/2 : 1/4 : 1/7, who would have gained the most and by how much?
A) C, Rs 246
B) C, Rs 264
C) B, Rs 18
D) A, Rs 246
E) A, Rs 264 - The ratio of the number of boys to the number of girls in a school is 6 : 5. If 20% of boys and 45% of girls come by bus to school, what percentage of students opt transport other than bus to come to school?
A) 68 9/11%
B) 68 7/11%
C) 72 7/11%
D) 73%
E) 73 5/11% - The incomes of A and B are in the ratio 1 : 2 and their expenditures are in the ratio 2 : 5. If A saves Rs 20,000 and B saves Rs 35,000, what is the total income of A and B?
A) Rs 30,000
B) Rs 90,000
C) Rs 90,000
D) Rs 60,000
E) Rs 80,000 - Rs 5750 is divided among A, B, and C such that if their share be reduced by Rs 10, Rs 15 and Rs 25 respectively, the reminder amounts with them shall be in the ratio 4 : 6 : 9. What was C’s share then?
A) Rs 2700
B) Rs 2725
C) Rs 2750
D) Rs 2625
E) None of these
- The students in 3 classes are in the ratio 3:4:5.If 20 students added in each class, the ratio becomes 5:6:7.Find the total no of students in all the 3 classes now ?
A.160
B.170
C.180
D.200
E.None of these - Two equal containers are filled with water and acid. The concentration of acid in each container is 20% and 30%. What is the ratio of water in both the containers respectively ?
A.7:8
B.8:7
C.6:4
D.3:2
E.None of these - A horse takes 8 steps for every 5 steps of a fox, but 6 steps of a fox are equal to the 3 steps of the horse. What is the ratio of the speed of horse to the fox ?
A.16:5
B.20:19
C.18:23
D.17:21
E.None of these - The ratio of age of Krish and her mother is 5:12 and difference of their ages is 21. What will be the ratio of their ages after 3 years ?
A.7:15
B.11:5
C.13:7
D.9:13
E.None of these - A started a business with Rs.32,000 after 4 months B joins with the business by investing Rs.48,000.At the end of the year, in what ratio should share their profit ?
A.8:7
B.7:6
C.5:7
D.9:5
E.None of these - A working partner gets 25% as his commissions after his commissions paid that is equal to Rs.7500, then what is the total profit ?
A.Rs.32,000
B.Rs.30,000
C.Rs.37,500
D.Rs.40,000
E.None of these - Equal quantities of 3 mixtures of milk and water are mixed in the ratio 1:3, 2:3 and 3:4.The ratio of water and milk in the new mixture is
A.45:76
B.151:269
C.123:154
D.145:245
E.None of these - The speed of P, Q and R are in the ratio of 2:3:6, what is the ratio of time taken by each one of them for the same distance ?
A.5:7:2
B.3:2:4
C.1:2:3
D.3:2:1
E.None of these - The ratio of income of X and Y is 4:3. The sum of their expenditure is Rs.12,000 and the amount of savings is X is equal to the amount of expenditure of Y.What is the salary of Y?
A.9000
B.7000
C.12000
D.15000
E.None of these - When 7 is added to the numerator and denominator of the fraction, then the new ratio of numerator and denominator becomes 13:19, what is the original ratio ?
A.11:13
B.7:9
C.4:7
D.Can’t be determined
E.None of these
- A bag contains 25p coins, 50p coins and 1 rupee coins whose values are in the ratio of 8:4:2. The total values of coins are 840. Then find the total number of coins
A.220
B.240
C.260
D.280
E.None of these - Two vessels contains equal quantity of solution contains milk and water in the ratio of 7:2 and 4:5 respectively. Now the solutions are mixed with each other then find the ratio of milk and water in the final solution?
A.11:7
B.11:6
C.11:5
D.11:9
E.None of these - Two alloys contain gold and silver in the ratio of 3:7 and 7:3 respectively. In what ratio these alloys must be mixed with each other so that we get a alloy of gold and silver in the ratio of 2:3?
A.2:1
B.3:1
C.4:3
D.3:5
E.None of these - The sum of three numbers is 123. If the ratio between first and second numbers is 2:5 and that of between second and third is 3:4, then find the difference between second and the third number.
A.12
B.14
C.15
D.17
E.None of these - If 40 percent of a number is subtracted from the second number then the second number is reduced to its 3/5. Find the ratio between the first number and the second number.
A.1:3
B.1:2
C.1:1
D.2:3
E.None of these - The ratio between the number of boys and girls in a school is 4:5. If the number of boys are increased by 30 % and the number of girls increased by 40 %, then what will the new ratio of boys and girls in the school.
A.13/35
B.26/35
C.26/41
D.23/13
E.None of these - One year ago the ratio between rahul salary and rohit salary is 4:5. The ratio between their individual salary of the last year and current year is 2:3 and 3:5 respectively. If the total current salary of rahul and rohit is 4300. Then find the current salary of rahul.
A.1200
B.1800
C.1600
D.2000
E.None of these - A sum of 12600 is to be distributed between A, B and C. For every rupee A gets, B gets 80p and for every rupee B gets, C get 90 paise. Find the amount get by C.
A.3200
B.3600
C.4200
D.4600
E.None of these - The sum of the squares between three numbers is 5000. The ratio between the first and the second number is 3:4 and that of second and third number is 4:5. Find the difference between first and the third number.
A.20
B.30
C.40
D.50
E.None of these - The ratio between two numbers is 7:5. If 5 is subtracted from each of them, the new ratio becomes 3:5. Find the numbers.
A.7/2, 5/2
B.3/2, 7/2
C.9/2, 7/2
D.11/2, 5/2
E.None of these
- Three cars travel same distance with speeds in the ratio 2 : 4 : 7. What is the ratio of the times taken by them to cover the distance?
A) 12 : 6 : 7
B) 14 : 7 : 4
C) 10 : 5 : 9
D) 7 : 4 : 14
E) 14 : 10 : 7 - Section A and section B of 7th class in a school contains total 285 students. Which of the following can be a ratio of the ratio of the number of boys and number of girls in the class?
A) 6 : 5
B) 10 : 9
C) 11 : 9
D) 13 : 12
E) Cannot be determined - 180 sweets are divided among friends A, B, C and D in which B and C are brothers also such that sweets divided between A and B are in the ratio 2 : 3, between B and C in the ratio 2 : 5 and between C and D in ratio 3 : 4. What is the number of sweets received by the brothers together?
A) 78
B) 84
C) 92
D) 102
E) 88 - Number of students in 4th and 5th class is in the ratio 6 : 11. 40% in class 4 are girls and 48% in class 5 are girls. What percentage of students in both the classes are boys?
A) 62.5%
B) 54.8%
C) 52.6%
D) 55.8%
E) 53.5% - Consider two alloys A and B. 50 kg of alloy A is mixed with 70 kg of alloy B. A contains brass and copper in the ratio 3 : 2, and B contains them in the ratio 4 : 3 respectively. What is the ratio of copper to brass in the mixture?
A) 8 : 5
B) 7 : 5
C) 5 : 11
D) 4 : 9
E) 5 : 7 - Ratio of A and B is in the ratio 5 : 8. After 6 years, the ratio of ages of A and B will be in the ratio 17 : 26. Find the present age of B.
A) 72
B) 65
C) 77
D) 60
E) None of these - A bag contains 25p, 50p and 1Re coins in the ratio of 2 : 4 : 5 respectively. If the total money in the bag is Rs 75, find the number of 50p coins in the bag.
A) 45
B) 50
C) 25
D) 40
E) None of these - A is directly proportional to B and also directly proportional to C. When B = 6 and C = 2, A = 24. Find the value of A when B = 8 and C = 3.
A) 42
B) 40
C) 58
D) 48
E) None of these - A is directly proportional to B and also inversely proportional to the square of C. When B = 16 and C = 2, A = 36. Find the value of A when B = 32 and C = 4.
A) 25
B) 20
C) 18
D) 32
E) None of these - A is directly proportional to the inverse of B and also inversely proportional to C. When B = 36 and C = 9, A = 42. Find the value of A when B = 64 and C = 21.
A) 24
B) 40
C) 32
D) 48
E) None of these
