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If the average of m numbers is $a$ , and on adding $x$ to the m numbers, the average of the $(1 + m)$ numbers is $b$ , then find the value of $x$ .

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Important Questions on Arithmetic

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IMPORTANT

Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 12

Brian Lara, the famous batsman, scored

6000

runs in certain number of innings. In the next five innings he was out of form and hence, could make only a total of

90

runs, as a result of which his average fell by

2

runs. How many innings did he play in all, if he gets out in all the innings?

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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 13

The average weight of

A, B

, and

C

x kg . A

and

C

lose

y kg

each after dieting and

B

gains

\frac{y}{2} kg

. After this their average weight decreases by

1 kg

. Find

y

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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 14

One out of five weights

A, B, C, D

and

E

is of different weight. A person makes a measurement and finds the following:

$A + B = C + D + E$
Which of the following you should know to find out which one is of different weight?

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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 15

In a class with a certain number of students, if one student weighing 50 kg is added, then the average weight of the class increases by 1 kg. If one more student weighing 50 kg is added, then the average weight of the class increases by 1.5 kg over the original average. What is the original average weight of the class?

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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 16

The average weight of the books carried by Kuku to school is

1.5 kg

and

2.5 kg

is the average weight of the exercise books. If Kuku is carrying only text books and exercise books in the ratio of

3 : 4

, what is the total weight of his school bag? (Ignore any other weights such as that of school bag, stationary, etc.)

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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 17

The average of n numbers is

32 .

\frac{3}{4}

of the numbers are increased by

4

each and the remaining are decreased by

6

each, then what is the new average?

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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 18

The average of eight numbers is

25,

that of the first two is

20

and of the next three is

26 .

The sixth number is less than the seventh by

4

and less than the eighth by

6 .

The last number is:

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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 19

The average amount of sales per day in a shop for 5 days starting from Monday is

₹ 1800

. The average amount of sales per day for

5

days from Tuesday is

₹ 1890 .

By how much does the sale on Saturday exceed that on Monday?

If the average of m numbers is a, and on adding x to the m numbers, the average of the (1+m) numbers is b, then find the value of x.

Important Questions on Arithmetic

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If the average of m numbers is $a$ , and on adding $x$ to the m numbers, the average of the $(1 + m)$ numbers is $b$ , then find the value of $x$ .