HARD

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Fresh grapes contain 80% water while dry grapes contain 10% water. if the weight of dry grapes in 500 kg , what is its total weight when it is fresh

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Important Questions on Averages

MEDIUM

Numerical Ability>Arithmetic>Averages>Mixtures and Alligations

A

can contain a mixture of two liquids

A

and

B

in the ratio

7 : 5

. When

9 L

of mixture is drain off and the can is filled with

B

, the ratio of

A

and

B

becomes

7 : 9

. How many litres of liquid

A

was contained by the can initially?

MEDIUM

Numerical Ability>Arithmetic>Averages>Mixtures and Alligations

How many liters of water should be added to a

30 L

mixture of milk and water containing milk and water in the ratio

7 : 3

, such that the resultant mixture has

40 %

water in it?

MEDIUM

Numerical Ability>Arithmetic>Averages>Mixtures and Alligations

In what ratio must a mixture of

15 %

spirit strength be mixed with that of

25 %

spirit strength to get a mixture of

21 %

spirit strength?

MEDIUM

Numerical Ability>Arithmetic>Averages>Mixtures and Alligations

Two varieties of sugar are mixed together in a certain ratio. The cost of the mixture per Kg is

₹ 0.50

less than that of the superior and

₹ 0.75

more than the inferior variety. The ratio in which the superior and inferior varieties of sugar have been mixed is:

MEDIUM

Numerical Ability>Arithmetic>Averages>Mixtures and Alligations

18

litres of pure water was added to a vessel containing

80

litres of pure milk.

49

litres of the resultant mixture was then sold and some more quantity of pure milk and pure water was added to the vessel in the ratio of

2 : 1

. If the resultant ratio of milk and water in the vessel was

4 : 1

, what was the quantity of pure milk added in the vessel?

MEDIUM

Numerical Ability>Arithmetic>Averages>Mixtures and Alligations

How much quantity (in kg.) of wheat costing

R s . 84

per kg. must be mixed with

81

kg. of wheat costing

R s . 60

per kg. so that on selling the mixture at

R s . 75.9

per kg, there is a gain of

15 %

HARD

Numerical Ability>Arithmetic>Averages>Mixtures and Alligations

There are three kinds of liquids $X, Y, Z$ . Three jars $J_{1}, J_{2}, J_{3}$ contain $100$ ml of liquids $X, Y, Z$ respectively. By an operation we mean three steps in the following order:

- stir the liquid in $J_{1}$ and transfer $10$ ml from $J_{1}$ into $J_{2};$

- stir the liquid in $J_{2}$ and transfer $10$ ml from $J_{2}$ into $J_{3};$

- stir the liquid in $J_{3}$ and transfer $10$ ml from $J_{3}$ into $J_{1};$

After performing the operation four times, let $x, y, z$ be the amounts of $X, Y, Z$ respectively in $J_{1}$ . Then

MEDIUM

Numerical Ability>Arithmetic>Averages>Mixtures and Alligations

Jar A contains

" X "

ltr of pure milk only. A

27

ltr mixture of milk and water in the respective ratio of

4 : 5

is added to Jar A. The new mixture thus formed in Jar A contains

70 %

milk. What is the value of

X

EASY

Numerical Ability>Arithmetic>Averages>Mixtures and Alligations

A mixture contains wine and water in the ratio

3 : 2

and another mixture contains them in the ratio

4 : 5

. How many litres of the latter must be mixed with

3

litres of the former so that the resultant mixture may contain equal quantities of wine and water?

MEDIUM

Numerical Ability>Arithmetic>Averages>Mixtures and Alligations

The ratio of milk to water is

5 : 4

. If two litres of water is added, the ratio becomes

10 : 9

, then find a new amount of water in the mixture.

MEDIUM

Numerical Ability>Arithmetic>Averages>Mixtures and Alligations

Out of the total population,

40 %

were females. Out of the total number of males,

75 %

were literates and the remaining

225

were illiterates. If

70 %

of the total number of females are literates, how many females were illiterate?

MEDIUM

Numerical Ability>Arithmetic>Averages>Mixtures and Alligations

The difference between

\frac{4}{5}

of a number and

45 %

of the number is

56

. What is

65 %

of the number?

EASY

Numerical Ability>Arithmetic>Averages>Mixtures and Alligations

Gaurav spent

Rs . 38460

on the renovation of his home,

Rs . 24468

on buying a home theatre and the remaining

28 %

of the total amount he had as cash with him. What was the total amount?

EASY

Numerical Ability>Arithmetic>Averages>Mixtures and Alligations

In a test, minimum passing percentage for reserved and unreserved category is

40 %

and

54 %

respectively. A candidate from unreserved category secured

300

marks and failed by

24

marks. What is the minimum passing marks of reserved category in that test?

EASY

Numerical Ability>Arithmetic>Averages>Mixtures and Alligations

In an examination,

35 %

of the candidates failed in one subject and

42 %

failed in another subject, while

15 %

failed in both the subjects. If

2500

candidates appeared at the examination, how many students passed in either subject but not in both?

MEDIUM

Numerical Ability>Arithmetic>Averages>Mixtures and Alligations

In order to pass in an exam, a student is required to get

780

marks out of the aggregate marks. Sonu got

728

marks and was declared failed by

5

per cent. What are the maximum aggregate marks a student can get in the examination?

MEDIUM

Numerical Ability>Arithmetic>Averages>Mixtures and Alligations

Akash scored $73$ marks in Subject A. He scored $56 %$ marks in Subject B and X marks in Subject C. Maximum marks in each subject were $150$ . The overall percentage marks obtained by Akash in all the three subjects together were $54 %$ . How many marks did he score in Subject C?

EASY

Numerical Ability>Arithmetic>Averages>Mixtures and Alligations

From a class, total $360$ students appeared in an exam. Three fourth of these are boys. $40 %$ boys failed in the exam, two-third of the girls are failed in the exam and the remaining passed.

What is the sum of the number of boys who failed and the number of girls who passed in the exam?

MEDIUM

Numerical Ability>Arithmetic>Averages>Mixtures and Alligations

Raman scored

456

marks in an exam and Seeta got

54 %

marks in the same exam, which is

24

marks less than Raman. If the minimum passing marks in the exam is

34 %

, then how much more marks did Raman score than the minimum passing marks?

EASY

Numerical Ability>Arithmetic>Averages>Mixtures and Alligations

Two candidates fought an election. One of them got

64 %

of the total votes and won with

992

votes. What was the total number of votes polled?

Fresh grapes contain 80% water while dry grapes contain 10% water. if the weight of dry grapes in 500 kg , what is its total weight when it is fresh

Important Questions on Averages

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