If A = 6 2 n - 35 n - 1 : n = 1 , 2 , 3 , … and B = { 35 ( n - 1 ) : n = 1 , 2 , 3 , … } , then which of the following is true?

Every member of A is in B and at least one member of B is not in A.

Neither every member of A is in B nor every member of B is in A.

At least one member of A is not in B.

EASY

CAT

IMPORTANT

Earn 100

Let P, Q, R, S, and T be statements such that if P is true, then both Q and S are true, and if both R and S are true, then T is false. We then have:

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Important Questions on Miscellaneous

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 5 - Miscellaneous>Practice Exercises>Q 33

If A, B, C, and D are statements such that if at least one of A and B is true, then at least one of C and D must be true. Further more, both A and C are false. We then have:

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 5 - Miscellaneous>Practice Exercises>Q 34

x, y,

and

z

are eliminated from the equations

\frac{x}{y} = \frac{a + 1}{a - 1}, \frac{y}{z} = \frac{b + 1}{b - 1}

, and,

\frac{z}{x} = \frac{c + 1}{c - 1}

, then which of the following is true regarding the relationship between a, b, and c ?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 5 - Miscellaneous>Practice Exercises>Q 1

If among

200

students,

105

like pizza and

134

like burger, then the number of students who like only burger can possibly be

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 5 - Miscellaneous>Practice Exercises>Q 2

A = \{6^{2 n} - 35 n - 1 : n = 1, 2, 3, \dots\}

and

B = {35 (n - 1) : n = 1, 2, 3, \dots}

, then which of the following is true?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 5 - Miscellaneous>Practice Exercises>Q 3

For two sets A and B, let AB denote the set of elements which belong to A or B but not both. If

P = {1, 2, 3, 4}, Q = {2, 3, 5, 6,}, R = {1, 3, 7, 8, 9}

S = {2, 4, 9, 10}

then the number of elements in

(PΔQ) Δ (RΔS)

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CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 5 - Miscellaneous>Practice Exercises>Q 4

Fill in the blanks....
How many different pairs

(a, b)

of positive integers are there such that

a \leq b

and

(\frac{1}{a}) + (\frac{1}{b}) = \frac{1}{9}

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CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 5 - Miscellaneous>Practice Exercises>Q 5

The numbers

1, 2,__, 9

are arranged in a

3 X 3

square grid in such a way that each number occurs once and the entries along each column, each row, and each of the two diagonals add up to the same value. If the top left and the top right entries of the grid are

6

and

2

, respectively, then the bottom middle entry is

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CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 5 - Miscellaneous>Practice Exercises>Q 6

In a class of

60

, along with English as a common subject, students can opt to major in Mathematics, Physics, Biology or a combination of any two.

6

Students major in both Mathematics and Physics,

15

major in both Physics and Biology, but no one majors in both Mathematics and Biology. In an English test, the average mark scored by students majoring in Mathematics is

45

and that of students majoring in Biology is

60

. However, the combined average mark in English, of students of these two majors, is

50

. What is the maximum possible number of student who major ONLY in Physics?

Let P, Q, R, S, and T be statements such that if P is true, then both Q and S are true, and if both R and S are true, then T is false. We then have:

Important Questions on Miscellaneous

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