How to prepare for Quantitative Aptitude for the CAT>Chapter 3 - Review Tests - Block I>Review Test 1>Q 14

EASY

CAT

IMPORTANT

Earn 100

The number of positive integer valued pairs $(x, y)$ , satisfying $4 x - 17 y = 1$ and $x < 1000$ is:

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Important Questions on Review Tests - Block I

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 3 - Review Tests - Block I>Review Test 1>Q 15

Let

a, b, c

be distinct digits. Consider a two-digit number ‘

a b

’ and a three-digit number ‘

c c b

’ both defined under the usual decimal number system. If

{(a b)}^{2} = c c b

and

c c b > 300

then the value of

b

is:

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 3 - Review Tests - Block I>Review Test 1>Q 16

The remainder

7^{84}

is divided by

342

is:

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 3 - Review Tests - Block I>Review Test 1>Q 17

Let

x, y

and

z

be distinct integers,

x

and

y

are odd and positive, and

z

is even and positive. Which one of the following statements can’t be true?

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 3 - Review Tests - Block I>Review Test 1>Q 18

A boy starts adding consecutive natural numbers starting with

1

. After some time he reaches a total of

1000

when he realises that he has made the mistake of double counting

1

number. Find the number double counted.

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 3 - Review Tests - Block I>Review Test 1>Q 19

In a number system the product of

44

and

11

is

3414

. The number

3111

of this system, when converted to decimal number system, becomes:

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 3 - Review Tests - Block I>Review Test 1>Q 20

Atul is given

158

rs. in one rupee denominations. He has been asked to allocate them into a number of bags such that any amount required between Re

1

and

158

can be given by handing out a certain number of bags without opening them. What is the minimum number of bags required?

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 3 - Review Tests - Block I>Review Test 2>Q 1

Find the number of six-digits numbers that can be formed using the digits

1, 2, 3, 4, 5, 6

once such that the six-digit number is divisible by its unit digit.

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 3 - Review Tests - Block I>Review Test 2>Q 2

Which is the highest

3

-digit number that divides the number

11111 . . . . 1

(

27

times) perfectly without leaving any remainder?