LAST TIME REVISION (RATIO & PROPORTION)-2

1) Rs6300 is divided between x, y, z such that x: y= 7:5 and y: z =4:3. Find the share of y.
a) 1800  b) 2000 c) 2200 d) 2400

2) What is the ratio of the mean proportional between 14.4 and 3.6 then the third proportional the third proportional of 5 and 4 ?
a) 4: 9 b) 5:8 c) 9:4 d) 8:5

3)  Two numbers A and B are in the ratio 5:2. If 4 is added to each number, then this ratio becomes 9:4. If 5 is subtracted from each of the original numbers , then the ratio of A and B will be?
a) 3:1 b) 8: 3 c) 7:2  d) 4:1 

4) Three numbers are in the ratio 1/2: 2/3: 3/4. The difference between the greatest and the smallest number is 27. The smallest number is 
a) 81 b) 40 c) 72  d) 54 

5) Incomes of A and B are in the ratio 5:3 and their expenditures are in the ratio 9:5. If income of A is twice the expenditure of B, then what is the ratio of savings of A and B?
a) 2:3  b) 1: 1 c) 3:2  d) 3:4 

6) Two numbers are in the ratio of 7:5. On diminishing each of them by 40, the ratio becomes 27: 17. The sum of the numbers is 
a) 300 b) 240 c) 325  d) 275 

7) The ratio of the income of a and b is 2:3 and that of their expenditures is 1:3. If 905 B's expenditure is equal to the income of a,  then what is the ratio of the savings of a  and b ?
a) 1:1 b) 9:8 c) 8:7  d) 3:2 

8) A sum of Rs4360 was to be divided into among A, B, C and D in the ratio of 3:4:5:8,  but it was divided in the ratio 1/3 :1/4 :1/5 :1/8 by mistake, As a result
a) A received Rs956 more
b) B received Rs 318 more
c) D received Rs1144 less
d) C received Rs132 less

9) A crate of eggs holds one rotten eggs out of every 25 eggs in it. If 5 out of 8 rotten eggs are unusable and there are total 10 unusable eggs in the crate, then calculate the number of eggs in the crate .
a) 380  b) 400 c) 420 d) 440

10) The ratio of 2 numbers is 6:11 and their difference is 65. What will be the smaller number among both the numbers ?
a) 58 b) 65 c) 52 d) 78 

11) The ratio of two numbers is 3:7. If their product is 1344, then what is the sum of both the numbers ?
a) 80 b) 60 c) 30 d) 168

12) If the ratio of two numbers is 5:4, if the sum of both the numbers is 180, then what is the larger number among both the numbers ?
a) 100 b) 80 c) 60 d) 75

13) The ratio 3 numbers is 2:3:5. If the sum of the 3 number is 275, then what is the largest among three numbers ?
a) 142 b) 82.5  c) 137.5 d) 152

14) The ratio of 3 numbers is 5:6:8 if the sum of the three number is 380,  then what is the smallest among the three numbers ?
a) 75 b) 80 c) 120 d) 100

15) The sum of three numbers is 67. If the ratio of the first number to the second number is 3:5 and that of the second number to the third number is 4:7, then what is the second number?
a)  20 b) 24 c) 18 d) 16 

16) A sum of the Rs3170 is divided among x, y, z such that if Rs13 , Rs12 and Rs18 will be diminished from the shares of x, y and z respectively, then their share will be in the ratio 20:18 :21. What is the initial share (in Rs) of z?
a) 1131 b) 1530 c) 910 d) 1350

17) if a: b=7 :9 and b: c= 15:7 then a: c =
a) 5:3 b) 7 :21  c) 3:5 d) 7 :15

18) (3A + 5B)/(3A - 5B) = 5, then a:b = ?
a) 2: 1 b) 5:3 c) 3 :2 d) 5:2 

19) calculate the third proportional to 16 and 32?
a) 16 b) 32 c) 64 d) 132 

20) if a, b, c ,d and e are in continued proportion, then a/e is equals to 
a) a³/b³ b) a⁴/b⁴ c) b³/a³ d) b⁴/a⁴

21) Find the 4th proportional to 3, 7 and 9.
a) 21 b) 22 c) 10 d) 8 

22) The fourth proportional to p²- PQ +q², p³+ q³, p - q is
a) p+ q b) p - q c) p²+ q² d) p² - q²

23) What is the mean proportional between (15 + √200) and (27- √648) ?
a) 4 b) 14√7 c) 3√5 d) 5√3 

24) Find the value of (a + b)/(a -b), if  a/b= 5/3
a) 2/3 b) 8/5 c) 5/8 d) 4

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