CRE 3 - Variation | Arithmetic - Ratio, Proportion & Variation
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If 25 toys cost Rs. 390, what do 35 toys cost?
Solution
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Reportp varies directly as the square of q. When q = 4, p = 48. Find p when q = 5.
- (a)
25
- (b)
15
- (c)
75
- (d)
50
Quantities a and b are inversely proportional to each other. When a = 4, b = 480. Find b when a = 3.
Quantity A varies directly with the sum of the quantities B and C. If B increases by 3 and C increases by 6, by how much does A increase?
- (a)
2
- (b)
4
- (c)
6
- (d)
Cannot be determined
Quantity A varies inversely with product of B and C. When B = 3 and C = 24, A = 150. Find A when B = 10 and C = 5.
A varies directly with B when C is constant and inversely with C when B is constant. A is 32, when B is 14 and C is 14. Find the value of A, when B is 18 and C is 3.
A variable x varies directly with the cube of another variable y. When x = 4, y = 2. Find y when x = 32.
If 9 engines consume 12 metric ton of coal, when each is working 8 hours day, how much coal will be required for 4 engines, each running 13 hours a day, it being given that 3 engines of former type consume as much as 4 engines of latter type? (in metric tons)
The ratio of the rate of flow of water in pipes varies inversely as the square of the radii of the pipes. What is the ratio of the rates of flow in two pipes of diameters 3 cm and 6 cm, respectively?
- (a)
1 : 2
- (b)
2 : 1
- (c)
1 : 8
- (d)
4 : 1
Three quantities A, B, C are such that AB = kC, where k is a constant. When A is kept constant, B varies directly as C; When B is kept constant, A varies directly as C and when C is kept constant, A varies inversely as B. Initially, A was at 10 and A : B : C was 1 : 3 : 5. Find the value of A when B equals 18 at constant C.
- (a)
16
- (b)
16.66
- (c)
18
- (d)
19
A precious stone weighing 70 grams worth 24,500 is accidentally dropped and gets broken into two pieces having weights in the ratio of 2 : 5. If the price varies as the square of the weight then find the loss incurred.
- (a)
11,500
- (b)
12,000
- (c)
11,000
- (d)
10,000
The resistance of a wire is proportional to its length and inversely proportional to the square of its radius. Two wires of the same material have the same resistance and their radii are in the ratio 4 : 3. If the length of the first wire is 64 cms., find the length of the other.
- (a)
32 cm
- (b)
30 cm
- (c)
36 cm
- (d)
25 cm
If 36 men can do a piece of work in 20 hours, in how many hours will 15 men do it ?
If the wages of 6 men for 15 days be Rs. 4200, then find the wages of 9 men for 12 days.
If 20 men can build a wall 33 metres long in 6 days, what length of a similar nature can be built by 30 men in 8 days?
If 15 men, working 9 hours a day, can reap a field in 8 days, in how many days will 9 men reap the field, working 8 hours a day?
Ashok’s monthly salary varies directly with the number of working days in that month. His salary would be Rs. 9000 if there are 20 working days in a month. Find his monthly salary if there are 21 working days in that month.
- (a)
Rs. 9,550
- (b)
Rs. 9,450
- (c)
Rs. 9,650
- (d)
Rs. 9,850