How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 114

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CAT

IMPORTANT

Earn 100

Three natural numbers $X, Y, Z$ are prime numbers less than $20$ are in arithmetic progression. If $X > Y > Z$ , then how many possible values can we get for $X + Y + Z$ ?

50% studentsanswered this correctly

Important Questions on Number Systems

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 115

A

100

- digit number is multiplied by a

200

- digit number and the product is multiplied with a

300

digit number and this product is again multiplied with a

400

digits number. What is the least number of digits in the product?

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 116

What are the last two digits of the number

3^{400}

?

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IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 117

The unit digit in

1^{7} \times 2^{7} \times 3^{7} \times . . . . . \times 9^{7} \times 11^{7} \times 12^{7} \times . . . . . \times 19^{7} \times 21^{7} . . . . . \times 99^{7}

is

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 118

How many two digit numbers have their squares as

1

more than a multiple of

24

?

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 119

There are

80

questions in a test. Each correct answer fetches

1

mark, each wrong answer and unanswered question attract penalty of

\frac{1}{4}

mark and

\frac{1}{8}

mark respectively each. Frodo scored

23

marks in the test. What is the minimum possible number of the question wrongly answered by him?

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CAT

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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 120

1777

has exactly

5

digits when converted to base

' x'

from the decimal system. What is the minimum possible value of

x

?

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 121

What will be the sum of all natural numbers between

101 and 1000

which on division by

2, 4, 6, 8, 10

leave remainders

1, 3, 5, 7, 9

respectively?

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 122

Unit digit of which of the following is the same as the units digits of

a^{17} + b^{17}

For any positive integer value of

a, b

?