Ratio & Proportion

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Directions: Each of the questions given below is followed by series of options among which you have to choose the best one. You can also review your choices by clicking into answer section.


1. A certain amount was divided between Santosh and Rajan in the ratio of 4 : 3. If Rahim’s share was Rs.2400, the total amount was.

A. Rs. 5600

B. Rs. 9600

C. Rs. 3200

D. Rs. 16800


Answer


2. The number of seats available for Biology and Computer Science in a school is in the ratio 5:8. They are to be increased by 30% and 25% . Find the new ratio.

A. 6:10

B. 13:20

C. 3:4

D. 35:33


Answer


3. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:

A. 2 : 5  

B. 3 : 5

C. 4 : 5  

D. 6 : 7


Answer


4. According to a recipe, 400 grams of flour should be mixed with 500 grams of sugar to bake cookies. If I have only 300 grams of flour, how much sugar should I mix to maintain the same proportion?

A. 360

B. 380

C. 375

D. 400


Answer


5. The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?

A. 3 : 3 : 10         

B. 10 : 11 : 20

C. 23 : 33 : 60    

D. Cannot be determined


Answer


6. Three quantities X, Y and Z are such that XY=kZ where k is constant. Initially, X was at 4 and X:Y:Z was 2:3:4. If the value of Y is changed to 12 and Z is kept constant, find the value of X.

A. 2

B. 3

C. 5

D. 6


Answer


7. If p : q = 3 : 4 and q : r= 8 : 9, then p : r is :

A. 1: 3

B. 2 : 3

C. 3 : 2

D. 1: 2


Answer


8. 4 singers, 5 dancers and 3 comperes divide an amount of Rs.130000 among themselves such that 3 comperes get as much as 2 dancers and 3 dancers get as much as 2 singers. Find the amount received by a singer.

A. Rs.18000

B. Rs.13000

C. Rs.15000

D. Rs.10000


Answer


9. In a mixture 60 liters, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quantity of water to be further added is:

A. 20 liters           

B. 30 liters

C. 40 liters           

D. 60 liters


Answer


10. If a+b : b+c : c+a = 6 : 7 : 8 and a + b + c = 14, then the value of c is : . [C.B.I. 1993]

A. 6

B. 8

C. 7

D. 14


Answer


11. Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:

A. 27      

B. 33

C. 49      

D. 55


Answer


12. Rs. 120 are divided among A, B, C such that A’s share is Rs. 20 more than B’s and Rs. 20 less than C’s. What is B’s share?

A. Rs. 10

B. Rs. 20

C. Rs. 15

D. Rs. 25


Answer


13. Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?

A. 2 : 3 : 4            

B. 6 : 7 : 8

C. 6 : 8 : 9           

D. None of these


Answer


14. An alloy is to contain copper and zinc in the ratio 9 :4. The zinc required (in kg) to be melted with 24 kg of copper, is 7

A. 10 and 2/3

B. 9 and 2/3

C. 10 and 1/3

D. 9


Answer


15. A class has 90 students. If the ratio of boys and girls is 7:8, find the number of boys in the class.

A. 48

B. 42

C. 60

D. 70


Answer


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