Quantitative Aptitude: Ratio and Proportion Questions Set 4

1. Raksha went to buy a toffee worth Rs. x. He gave Rs.10 rupee note to the shopkeeper to buy the toffee then shopkeeper gave rest of the money in the denominations of 50 paise, 1 rupee, and 2 rupees. If the ratio of the number of coins is 4:2:1 respectively. Then what is the price of the toffee?
   8
   15
   4
   10
   None of these10
   Option C
   Possible coins = (4, 2, 1) and (8, 4, 2)
   If (4, 2, 1) = 0.50*4+2*1+1*2 =6
   Cost of Toffee=10-6 =4
   
    



2. In a locality, there are ‘x’ persons. The expenditure of wheat per month is directly proportional to 4 times the square of the number of persons of the locality. If one of them left the locality there was a decrease in consumption of 28 kg wheat per month. Then initially how many persons were in the locality?
   4
   2
   1
   5
   8
   Option A
   R1=4x2
   R2 = 4(x-1)*2
   R1-R2 =28= 2x-1
   x =4
   
    



3. Three cheetahs X,Y and Z move in such a way that when X takes 7 steps, Y takes 8 steps and Z takes 9 steps. But 4 steps of X are equal to 5 steps of Y and 6 steps of Z. What is the ratio of their speeds?
   32:35:42
   25:28:30
   30:35:40
   35:32:30
   None of these
   Option D
   X: Y: Z = 7:8:9
   Size of step, 4X=5Y=6Z
   ratio of speeds = 7/4 :8/5 :9/6
   =35:32:30
   
    



4. Simran bought 108 earings. While carrying she dropped the earings down. By this, some of them were broken. What cannot be the ratio of broken and unbroken earings?
   4:3
   1:2
   2:5
   10:11
   None of these
   Option A
   
   
    



5. P,Q,R and S are four numbers if Q is more than P, S is 10 more than Q, R is 5 less than S, P is 10 less than R. Then ratio of P: Q: R: S is?
   1:2:3:4
   1:2:2:1
   1:5:10:15
   Cannot be determined
   None of these
   Option D
   From the above values of P,Q,R and S,it cannot be determined.
   
    



6. An amount of sum is to be distributed among Priyal, Queen and Rashi in the ratio of 7:4:5 respectively. If the total share of Priyal and Rashi is 4 times the share of Queen, what is definitely Queen’s share?
   500
   1500
   2500
   Data is inadequate
   None of these
   Option D
   Total sum is not given in the question.
   
    



7. If the ratio of X:Y is is 2:3 and that of the Y:Z is 5: 8, then which of the following is true?
   Sum = 98; B = 50
   Sum = 98; A = 20
   Sum=100 : A=25
   Sum =125;C=10
   None of these
   Option B
   X:Y:Z = 10:15:24
   If sum = 98, A = 10/49 * 98 = 20
   
    



8. The income of Vinayak and Priyanka are in the ratio of 4:5 and their expenditure is in the ratio of 2:3. If each of them saves Rs 5000, then find their income?
   15000, 8750
   10000,8000
   11050,8548
   13000,8500
   None of these
   Option A
   4p – 2q = 5000 and 5p – 3q = 5000.
   P = 8750, therefore income = 8750 and 15000.
   
    



9. A sum of Rs.4880 was divided among students of class A and class B in such a way that each student of class A gets Rs.44.50 and each student of Class B get Rs. 55.25. If the total number of class A and class B students is 100, find the number of class B students?
   50
   40
   60
   80
   None of these
   Option B
   P+Q=100 —(i)
   44.50 P + 55.25 Q = 4880 —(ii)
   Solving (i) and (ii) ,we get Q = 40
   
    



10. An amount of sum is to be divided between Priyanka, Queen and Riya in the ratio of 3:7:12. If the difference between the shares of Priyanka and Queen is Rs.Z, and the difference between Queen and Riya’s share is Rs.3000. Find the total amount of sum?
    11500
    10100
    13200
    15000
    None of these
    Option C
    12 c-7 c = 3000
    5 c = 3000
    c = 600
    7 c- 3 c = Z
    4 C = Z
    4*600 = 2400
    22* 600 = 13200