EASY

CAT

IMPORTANT

Earn 100

A class consists of $20$ boys and $30$ girls. In the mid-semester examination, the average score of the girls was 5 higher than that of the boys. In the final exam, however, the average score of the girls dropped by $3$ while the average score of the entire class increased by $2$ . The increase in the average score of the boys is

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Important Questions on Arithmetic

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 9

The average height of

22

toddlers increases by

2

inches when two of them leave this group. If the average height of these two toddlers is one-third the average height of the original

22

, then the average height, in inches, of the remaining

20

toddlers is

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 10

Ten years ago, the ages of the members of a joint family of eight people added up to

231

years. Three years later, one member died at the age of

60

years and a child was born during the same year. After another three years, one more member died, again at

60,

and a child was born during the same year. The current average age of this eight member joint family is nearest to:

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 11

The average weight of a class of

100

students is

45 kg .

The class consists of two sections, I and II, each with

50

students. The average weight,

W_{1},

of Section I is smaller than the average weight

W_{I},

of the Section II. If the heaviest student say Deepak, of section II is moved to Section I, and the lightest student, say Poonam, of Section I is moved to Section II, then the average weights of the two sections are switched, i.e., the average weight of Section I becomes

W_{II}

and that of Section II becomes

W_{1} .

What is the weight of Poonam?
A:

W_{II} - W_{1} = 1.0

B: Moving Deepak from Section II to I (without any move I to II) makes the average weights of the two sections equal.

EASY

CAT

IMPORTANT

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

Amol was asked to calculate the arithmetic mean of

10

positive integers, each of which had

2

digits. By mistake, he interchanged the

2

digits, say a and

b

, in one of these

10

integers. As a result, his answer for the arithmetic mean was

1.8

more than what it should have been. Then

b - a

equals

EASY

CAT

IMPORTANT

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

u, v

, weighted average and

m

are natural numbers such that

um + vm = wm

, then which one of the following is true?

EASY

CAT

IMPORTANT

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

Three math classes: $X, Y$ and $Z$ take an algebra test.

The average score in class $X$ is $83 .$

The average score in class $Y$ is $76 .$

The average score in class $Z$ is $85 .$ .

The average score of all students in classes $X$ and $Y$ together is $79$

The average score of all students in classes $Y$ and $Z,$ together is $81 .$

What is the average for all the three classes?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 1

For any given series of $100$ terms, if we know the last term and the first term, we can always calculate the average of all the $100$ terms.

State whether True or False

EASY

CAT

IMPORTANT

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

$A, B, C, D, E$ , and $F$ are six numbers, not necessarily natural numbers. They are divided into two groups - each group having three numbers each and we do not know which number belongs to which group. Final average of all the numbers can be calculated by calculating the average of individual average of the two groups.

State whether True or False

Important Questions on Arithmetic

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