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Chapterwise Quant Quiz For SSC CGL 2016(Ratio and Proportion)


1.Two alloys A and B contain gold and silver in the ratio of 1 : 2 and 1 : 3 respectively. A third alloy C is formed by mixing A and B in the ratio of 2 : 3. Find the percentage of silver in the alloy C.
(a) 71 2/3%
(b) 28 1/3%
(c) 70 2/3%
(d) 29 1/3%
1. A

(Solution)

Alloy A = 300 and B = 300
Let 100 : 200 ( 1 : 2)
75 : 225 (1 : 3) 
A = 100 × 2 : 200 × 2
75 × 3 : 225 × 3
425 : 1075 

For % =1075/1500×100=215/3=71(2/3%)

2.Two alloy contain silver and copper in the ratio of 2 : 3 and 3 : 4. In what ratio the two alloys should be added together to get a new alloy having silver and copper in the ratio of 1 : 2? Find the percentage of gold in the alloy C.
(a) 41 19/21% 
(b) 67 13/21%
(c) 32 5/21
(d) 67 16/21%

2.A (Same as question 1)

3.An amount of Rs. 1250 is distributed among A, B and C in the ratio of 4 : 7 : 14. What is the ratio between the difference of shares of B and A and the difference of shares of C and B ?
(a) 7 : 3 
(b) 2 : 7 
(c) 3 : 7 
(d) 7 : 2 

3.C
4.The prices of a scooter and a television set are in the ratio 3 : 2. If a scooter costs Rs. 6000more than the television set, the price of the television set is:
(a) Rs. 18000 
(b) Rs. 12000
(c) Rs. 10000
(d) Rs. 6000

4.B 
5.The contents of two vessels containing water and milk are in the ratio 3 : 4 and 5 : 4 are mixed in the ratio 1 : 4. The resulting mixture will have water and milk in the ratio_________.
(a) 184 : 176 
(b) 167 : 184
(c) 167 : 148
(d) 148. 167

5.C

6.The contents of two vessels containing water and milk are in the ratio 2 : 3 and 4 : 5 are mixed in the ratio 1 : 2. The resulting mixture will have water and milk in the ratio_________.
(a) 77 : 58 
(b) 58 : 77
(c) 68 : 77
(d) 77 : 68  
6.B
7.The contents of two vessels containing water and milk are in the ratio 1 : 2 and 2 : 5 are mixed in the ratio 1 : 4. The resulting mixture will have water and milk in the ratio _________.
(a)  31:74
(b)  31:77
(c)  33:74
(d)  33:76
7. A

Solutions 

Detail Method: Change the ratios into fractions.
Water       :  Milk
Vessel I  1/3    2/3

Vessel II 2/7 5/7
From Vessel I, I/5 is taken and from Vessel II,  4/5 is taken.
Therefore, the ratio of water to milk in the new vessel =(1/3×1/5+2/7×4/5):(2/3×1/5+5/7×4/7)  
=(1/15+8/35):(2/15+20/35)=31/105:74/105=31∶74  

Quicker Method: Applying the above theorem, we have, 
The required answer = 1×1×(2+5)+4×2(1+2) ∶1×2(2+5)+4×5(1+2)
=1×7+8×3∶2×7+20×3=31∶74 
8.Two vessels contain equal quantity of mixtures of milk and water in the ratio 5 : 2 and 6 : 1 respectively. Both the mixtures are now mixed thoroughly. Find the ratio of milk to water in the new mixture so obtained. 
(a)  11:3
(b) 3:11
(c) 12:4
(d) 5:12
8. A

9.One man adds 3 litres of water to 12 litres of milk and another 4 litres of water to 10 litres of milk. What is the ratio of the strengths of milk in the two mixtures?
(a)  27:26
(b) 24:25
(c) 28:25
(d) 25:45
9. C


Solution
Strength of milk in the mixture =(Quantity of Milk)/(Total Quantity of Mixture)
∴ Strength of milk in the first mixture =12/(12+3)=12/15
Strength of milk in the second mixture= 10/(10+4)=10/14
∴ The ratio of their strengths =12/15:10/14
=12×14∶15 ×10  
=28∶25  
10.A bag contains rupee, 50-paise and 25-paise coins in the ratio 3 : 4 : 5. If the total amount in the bag is Rs. 625, find the no. of coins of 25-paise. 
(a) 125 
(b) 1250
(c) 500
(d) 1000

10. C

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