Problems on Numbers - Handout 2

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1.How many digits are required for numbering the pages of a book containing 191 pages?

a)435         b) 185              c) 465              d) 235

2.How many strokes on a computer keyboard are needed to type numbers from 1 to 999?

a)2892       b)2600                        c)2432             d)2889

3.Find the sum of the natural numbers from 70 to 120?

a)4410       b)4845             c)1280             d)3600

4.The sum of all natural numbers from 75 to 97 is

a)1978       b)1598             c)1958             d)1798

5.What is the sum of the squares of the first 20 natural numbers?

a)2870       b)5740             c)17220                       d)1435

6.113   + 123 +133 + ...+ 203 =

a)44100     b)41075                       c)3025             d)17250

7.Sum of even numbers between 15 and 25 is

a) 70          b) 180              c) 120              d) 100

8.Between 140 and 198, what is the sum of all the odd numbers?

a)5901        b) 4907                       c)5302           d) 4901

9.Find the sum of all the odd numbers starting from 1 and ending up to the greatest number of three digits.

a) 500        b)2500                        c)250000        d)25000

10.Which of the following is a factor of the sum of the first 25 natural numbers?

a)13           b)12                 c)26                 d)24

11.If N represents the product of the first 15 positive integers, which of the following must be true?

I. is an odd number      

II. is a multiple of 13

III. is a multiple of 28

a) I only                 b) II only         c)IIIonly
d) Both II and III        e) All of the above

12.Which of the following is not a prime number?

a)157         b)197               c)213               d)223

13.The sum of all those prime numbers which are not greater than 19 is

a)59           b)77                 c)41                 d)42

14.If x is a prime number and -1≤ ≤1, then the number of values of x is

a)4             b)3                   c)2                   d)5

15. A set S contains (2N+1) prime numbers where N is a positive integer. If the sum of the elements of the set is an even number, then one of the elements of the set must be

a)    11        b)13                 c)3                   d)2

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