Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 63

EASY

CAT

IMPORTANT

Earn 100

Divide $45$ into $4$ parts such that if the first is increased by $2$ , the second is decreased by $2$ , the third multiplied by $2$ , and the fourth is divided by $2$ , the result is the same.

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Important Questions on Numbers and Their Properties

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 64

Find the remainder when

3 x^{2} - x^{6} + 31 x^{4} + 21 x + 5

is divided by

(x + 2)

.

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 65

Four prime numbers are written in ascending order of their magnitudes. The product of the first three is

385

and that of the last three is

1001

. The largest given prime number is

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 66

What is the remainder when

4^{44}

is divided by

15

?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 67

LCM of two integers P and Q is

211

. What is the HCF of P and Q?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 68

How many times does the digit

6

appear when we count from

11

to

400

?

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 69

In Q.

68

, how many numbers will be having

8

as its digit?

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 70

S is a number formed by writing

8

for

88

times. What will be the remainder of this number when divided by

7

?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 71

We are writing all the multiples of

3

from

111

to

324

. How many times will we write digit

3

?