Practice MCQ Questions and Answer on Alligation

71.

A shopkeeper bought 15 kg of rice at the rate of Rs. 29 per kg and 25 kg of rice at the rate of Rs. 20 per kg. He sold the mixture of both types of rice at the rate of Rs. 27 per kg. His profit in this transaction is -

(A) Rs. 125
(B) Rs. 150
(C) Rs. 140
(D) Rs. 145

72.

Lala has lent some money to Arun at 5% p.a. and Bhatia at 8% p.a. At the end of the year, he has gained an overall interest at the rate 6%. In what ratio has he lent the money to Arun and Bhatia ?

(A) 2 : 1
(B) 1 : 2
(C) 3 : 2
(D) 3 : 1

73.

Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:

(A) Rs. 169.50
(B) Rs. 170
(C) Rs. 175.50
(D) Rs. 180

Solution: Since first and second varieties are mixed in equal proportions. So, their average price $\begin{aligned} = Rs . (\frac{126 + 135}{2}) \\ = Rs . 130.50 \end{aligned}$ So, the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say, Rs. x per kg in the ratio 2 : 2, i.e., 1 : 1. We have to find x. By the rule of alligation, we have: $\begin{aligned} ∴ \frac{x - 153}{22.50} = 1 \\ \Rightarrow x - 153 = 22.50 \\ \Rightarrow x = 175.50 \end{aligned}$

74.

A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4 : 5. The quantity of alcohol in the given mixture is -

(A) 3 litres
(B) 4 litres
(C) 15 litres
(D) 10 litres

Solution: Let the quantity of alcohol and water be 4x litres and 3x litres respectively $\begin{aligned} \frac{4 x}{(3 x + 5)} = \frac{4}{5} \\ \Rightarrow 20 x = 4 (3 x + 5) \\ \Rightarrow 8 x = 20 \\ \Rightarrow x = 2.5 \end{aligned}$ Quantity of alcohol = (4 × 2.5) litres = 10 litres.

75.

7 kg of tea costing Rs. 280 per kg is mixed with 9 kg of tea costing Rs. 240 per kg. The average price per kg of the mixed tea is ?

(A) Rs. 255.80
(B) Rs. 257.50
(C) Rs. 267.20
(D) Rs. 267.50

Solution: According to the question,Average price of mixed tea $\begin{aligned} = \frac{280 \times 7 + 240 \times 9}{16} \\ = \frac{1960 + 2160}{16} \\ = \frac{4120}{16} \\ = Rs . 257 .50 \end{aligned}$

76.

The ratio of milk to water in a 100 litres mixture is 2 : 3. 10 litres of this mixture is withdrawn and replaced with milk. This process is repeated 2 more times. What is the percentage of milk in final mixture?

(A) 58.21%
(B) 51.24%
(C) 54.27%
(D) 56.26%

Solution: $\begin{matrix} Milk & Water \\ \begin{matrix} 2 \\ ↓ \end{matrix} & \begin{matrix} : \end{matrix} & \begin{matrix} 3 \\ ↓ \end{matrix} & \begin{matrix} = 5 \to 100 \\ 1 \to 20 \end{matrix} \\ 40 & 60 \end{matrix}$ $\begin{aligned} = 60 {(1 - \frac{10}{100})}^{3} % \\ = 60 {(\frac{9}{10})}^{3} % \\ = 60 \times \frac{729}{1000} % \\ = 43.74 % \\ ∴ Final milk % = (100 - 43.74) % \\ = 56.26 % \end{aligned}$

77.

A vessel contains a 32 litre solution of acid and water in which the ratio of acid and water is 5 : 3. If 12 litres of the solution are taken out and $7 \frac{1}{2}$ ÃÂÃÂ litres of water are added to it, then what is the ratio of acid and water in the resulting solution?

(A) 5 : 6
(B) 4 : 7
(C) 4 : 9
(D) 8 : 11

Solution: $\begin{aligned} After removed 12L \\ Acid : Water \\ \Rightarrow 12 \times \frac{5}{8}, 12 \times \frac{3}{8} \\ \Rightarrow - 7.5, - 4.5 \\ Acid Water \\ 20L 12L \\ - 7.5 - 4.5 \\ + 7.5 \\ \overset{―}{12.5 : 15} \\ 5 : 6 \end{aligned}$

78.

In 80 litres mixture of milk and water the ratio of amount of milk to that of amount of water is 7 : 3. In order to make this ratio 2 : 1, how many litres of water should be added ?

(A) 5 litres
(B) 6 litres
(C) 8 litres
(D) 4 litres

Solution: According to the question, $\begin{aligned} Milk : Water \\ Initial Ratio 7_{\times 2} : 3_{\times 2} \\ Final Ratio 2_{\times 7} : 1_{\times 7} \end{aligned}$ ∴ Remember water is added not milk, so make milk equal $\begin{matrix} M : W \\ \begin{matrix} Initial 14 : 6 \\ Final 14 : 7 \end{matrix}) \end{matrix}$ $\begin{aligned} = 20 unit \\ 1 \end{aligned}$ $\begin{aligned} 20 units = 80 litres \\ 1 unit = 4 litres \\ Water added = 4 litres \end{aligned}$

79.

One quantity of wheat at Rs 9.30 per Kg is mixed with another quality at a certain rate in the ratio 8 : 7. If the mixture so formed be worth Rs 10 per Kg, what is the rate per Kg of the second quality of wheat?

(A) Rs. 12.47
(B) Rs. 10.80
(C) Rs. 15.17
(D) Rs. 47.66

80.

The ratio of spirit and water in two mixtures of 20 litres and 36 litres is 3 : 7 and 7 : 5 respectively. Both the mixtures are mixed together. Now the ratio of the spirit and water in the new mixture is ?

(A) 25 : 29
(B) 9 : 10
(C) 27 : 29
(D) 27 : 31

Solution: $\begin{aligned} According to the question, \\ Mixture - 1 = 20 litres \\ Mixture - 2 = 36 litres \\ In Mixture - 1 ratio of \\ \frac{Spirit}{Water} = \frac{3}{7} ⟩ 10 units \\ In Mixture - 2 ratio of \\ \frac{Spirit}{Water} = \frac{7}{5} ⟩ 12 units \\ 10 units \to 20 litres \\ 1 unit \to 2 litres \\ 12 units \to 36 litres \\ 1 unit \to 3 litres \\ ∴ In Mixture - 1 ratio of \\ \frac{Spirit}{Water} = \frac{3 \times 2}{7 \times 2} = \frac{6}{14} \\ ∴ In Mixture - 2 ratio of \\ \frac{Spirit}{Water} = \frac{7 \times 3}{5 \times 3} = \frac{21}{15} \\ Ratio of spirits and water \\ = \frac{6 + 21}{14 + 15} \\ = \frac{27}{29} \\ = 27:29 \end{aligned}$

«
1
2
3
4
5
6
7
8
9
10
Next ›
Last »

Indian Polity Mcq IAS GK Question India GK World GK GK questions GK Quiz Biology GK Science GK Physics GK Chemistry GK General Awareness Computer GK Political GK Indian Political GK Economics GK History GK Sports GK Geography GK Teaching Aptitude GK CTET/TET GK B Ed Entrance GK Banking GK SSC GK UPSC GK Indian Army GK Hindi Grammar GK Hindi Grammar MCQ Reasoning questions Bihar GK Rajasthan GK Jharkhand GK MP GK UP GK Chhattisgarh GK Haryana GK HP GK Maharashtra GK Electronics GK Agriculture GK States/Capitals GK Books Name & Author Arthimetic Verbal Reasoning Non Verbal Reasoning English

Practice MCQ Questions and Answer on Alligation

General Knowledge