Ratio And Proportion

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61 A fruit seller has oranges, apples and guavas in the ratio 2:5:8. The number of apples is more than the number of oranges by a number that is a multiple of both 6 and 8. What is the minimum number of fruit's in his shop?

A
240
B
360
C
120
D
90

62 The difference between the two positive numbers is 10 and the ratio between them is 5:3. Find the product of the two numbers:

A
375
B
325
C
275
D
125

63 Two horses cost as much as 5 dogs, 6 dogs as much as 8 oxen, 10 oxen as much as 50 sheep, 14 sheep as much as 9 goats. If the price of one goat is ₹ 70, how much will one horse cost?

A
₹ 670
B
₹ 730
C
₹ 830
D
₹ 750

64 If p/q = $$\frac{3}{4}$$, then find the value of the expression (5p - 3q)/(7p + 2q):

A
3/29
B
5/27
C
7/31
D
5/58

65 A man has rs.480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?

A
100
B
50
C
78
D
90

66 In Kaziranga national park, the residents are either Hippopotamus or Peacocks. When the heads are counted, it comes out to be 96 and when the legs are counted it is 336 in number. Find the number of peacocks in the park:

A
72
B
24
C
48
D
80

67 What would be the ratio of milk and water in a final mixture formed by mixing milk and water that are present in three vessels of capacity 1l, 2l, and 3l respectively and in the ratios 5:1, 3:2 and 4:3 respectively?

A
747:443
B
787:1260
C
787:473
D
747:473

68 One-fifth of a number is equal to \\frac{5}{8}\\)th of another number. If 35 is added to the first number, it becomes four times of the second number. Find the second number:

A
39
B
70
C
40
D
25

69 Two cogged wheels of which one has 32 cogs and other 54 cogs, work into each other. If the latter turns 80 times in three quarter of a minute, how often does the other turn in 8 seconds? (Assume equal size cogs and equi-spaced):

A
24
B
16
C
32
D
8

70 The value of a diamond varies directly as the square of it's weight. If a diamond worth ₹ 10,000 is divided into 2 pieces in the ratio of 4:6, what is the loss in value?

A
52%
B
48%
C
36%
D
None of these