Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 24

EASY

CAT

IMPORTANT

Earn 100

What is the number of pairs of values of (x, y), which will satisfy $2 x - 5 y = 1$ , where $x < 200$ , and x and y are positive integers?

50% studentsanswered this correctly

Important Questions on Numbers and Their Properties

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 25

N = 2^{3} \times 5^{3}

. How many sets of two distinct factors of N are co-prime to each other?

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 26

What is the sum of dgits of the least multiple of 13, which when divided by 6, 8 and 12 leaves 5, 7 and 11 respectively as the remainders?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 27

What is the units digit of

7^{11^{12^{33}}}

?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 28

What is the remainder when

(1! + 2! + 3! + \dots 1000!)

is divided by

5

?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 29

If

A = 3^{150} \times 5^{76} \times 7^{140}, B = 3^{148} \times 5^{76} \times 7^{141}, C = 3^{148} \times 5^{80} \times 7^{139}

, and

D = 3^{151} \times 5^{80} \times 7^{142}

, then the order of A, B, C, and D from largest to smallest is:

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 30

The HCF of

0.3, 0.15, 0.225, 0.0003

is:

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 31

How many numbers between

1

and

250

are divisible by

5

but not by

9

?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 32

A and B are two distinct digits. If the sum of the two-digit numbers formed by using both the digits is a perfect square, what is the value of

(A + B)

?