MEDIUM
CAT
IMPORTANT
Earn 100

N is a 1001 digit number consisting of 1001 sevens. What is the remainder when N is divided by 1001?

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Important Questions on Numbers and Their Properties

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CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 10
Find four positive numbers such that the sum of the first, third, and fourth exceeds the second by 8; the sum of the squares of the first and second exceeds the sum of the squares of the third and fourth by 36; the sum of the products of the first and second, and of the third and fourth is 42; the cube of the first is equal to the sum of the cubes of the second, third, and fourth.
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CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 11
Digital sum of a number is obtained by adding all the digits of a number until a single digit is obtained. Find the digital sum of 19100.
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CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 12
Find the HCF of 2100-1 and 2120-1.
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IMPORTANT
Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 13
Let S be the set of positive integers n for which 1n has the repeating decimal representation 0.ab¯=0.ababab…. , with a and b as different digits. What is the sum of the elements of S?
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CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 15
If a, a+2, and a+4 are prime numbers, then the number of possible solutions for a is:
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CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 16
Suppose N is an integer such that the sum of the digits of N is 2, and 109<N<1010. How many values of N are possible?
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CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 17
Ten students solved a total of 35 questions in a Maths Olympiad. Each question was solved by exactly one student. There is at least one student who solved exactly one problem, at least one student who solved exactly two problems, and at least one student who solved exactly three problems. What is the minimum number of students who has/have solved at least five problems?
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CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 1 - X+2 Maths>Practice Exercises>Q 30
An intelligence agency forms a code of two distinct digits selected from 0,1,2,...9, such that the first digit of the code is not zero. The code, handwritten on a slip, can however potentially create confusion when read upside down - for example, the code 91 may appear as 16. How many codes are there for which no such confusion can arise?