What is the remainder when $77, 777 \dots$ up to $56$ digits is divided by $19$ ?

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Important Questions on Numbers and Their Properties

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 58

There are three consecutives odd integers such that the product is a prime number. Find the largest of the prime number.

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 59

A square floor of the dimensions $72 cm \times 72 cm$ has to be laid with rectangular tiles whose length and breadth are in the ratio $3 : 2$ . What is the difference between the maximum number of tiles and minimum numbers of tiles, given that the length and the breadth are integers ?

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 60

A man took a five-digit number ending in

9

and raised it to an even power greater than

50

. He then multiplied it with

17

raised to a multiple of

4

. What is the last digit of the resulting number?

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 61

Rahul took an odd number of prime numbers and added them. He found the result to be even. Which of the following could be concluded?

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 62

When asked as to how many guavas Lovely has, she replies, 'if you add three-quarters of the number of guavas that I have to three-quarters of one guava, you will get the numbers of guavas I have'. How many guavas does she have?

MEDIUM

CAT

IMPORTANT

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

What is the remainder when