# TCS Allegations and Mixtures Questions and Answers Quiz-1

Question 1

Time: 00:00:00
How many litres of a 90% of concentrated acid needs to be
mixed with a 75% solution of concentrated acid to get a 30
litre solution of 78% concentrated acid?

8

8

9

9

7

7

6

6

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d

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Question 2

Time: 00:00:00
Average marks of a,b,c is 48. When d joins average becomes 47.
E has 3 more marks than d. Average marks of b,c,d,e is 48.
What is the marks of a?

46

46

43

43

49

49

52

52

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Question 3

Time: 00:00:00
On a certain assembly line, the rejection rate for Hyundai i10s production was 4 percent, for Hyundai i20s production 8 percent and for the 2 cars combined 7 percent. What was the ratio of Hyundais i10 production?

3/1

3/1

2/1

2/1

1/1

1/1

1/2

1/2

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Question 4

Time: 00:00:00
For a car there are 5 tyres including one spare tyre(4+1).
All tyres are equally used. If the total distance travelled
by the car is 40000km then what is the average distance
travelled by each tyre?

10000

10000

40000

40000

32000

32000

8000

8000

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Question 5

Time: 00:00:00
Two alloys A and B are composed of two basic elements.
The ratios of the compositions of the two basic elements
in the two alloys are 5:3 and 1:2, respectively. A new alloy
X is formed by mixing the two alloys A and B in the ratio 4:3.
What is the ratio of the composition of the two basic elements
in alloy X?

1:1

1:1

2:3

2:3

5:2

5:2

4:3

4:3

7:9

7:9

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When you need to find the average, it is better to use the formula in its original form: Avg = (C1*w1 + C2*w2)/(w1 + w2) Avg = [(5/8)*4 + (1/3)*3]/(4+3) = 1/2 Ratio of the 2 elements in the mixture = 1:1

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Question 6

Time: 00:00:00
In a barrel 729ml of oil. N amount of oil is replaced by water.
If the process continues for the 6times and find the amount
of oil will be?

729(1-n/729)^6

729(1-n/729)^6

(729-n/729)^6

(729-n/729)^6

729(1-n/729)^4

729(1-n/729)^4

729(1-(n/729)^2)^3

729(1-(n/729)^2)^3

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Here we will use a formula -: P/I=(x-y/x)^n P-: Present oil I-:Initial oil x-: Capacity of barrel y-: amount of replacement n-: no. of operation

by using type 2 formula we directly come to answer amount of oil left=original amount(1-replaced/original)^no of times replaced =729(1-n/729)^6

729(1-n/729)^6 based on formula x(1-y/x)^n

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Question 7

Time: 00:00:00
Mixture of milk and water has been kept in two separate containers. ratio of milk to water in one of the containers is 5:1 and that in the other container is 7:2. in what ratio the mixtures of these two containers should be added together so that the quantity of the milk in the new mixture may become 80%?

2:3

2:3

1:2

1:2

14:19

14:19

3:7

3:7

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Question 8

Time: 00:00:00
A mixture of a certain quantity of milk with 16 litres of
water is worth 90p per litre. if pure milk be worth Rs.1.08
per litre, how much milk is there in the mixture?

75

75

80

80

65

65

60

60

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Question 9

Time: 00:00:00
A solution of 25 litres contain 20% sugar, if 10 litres of the
solution is evaporated, find the percentage of sugar in the
final solution?

27.5%

27.5%

20%

20%

25%

25%

33.33%

33.33%

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Question 10

Time: 00:00:00
A milk man mixed 1 : 4 solution of milk and water with another
1 : 2 solution of milk and water in the volume of ratio 3 : 2.
If the profit earned by selling the first solution was 20% and
the mixture was sold at the same price, what is the profit or
loss percentage? You have to assume that water comes free of cost.

5.26% profit

5.26% profit

5.25% loss

5.25% loss

6.25% loss

6.25% loss

None of these

None of these

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