Subscribe to our YouTube channel for the latest videos, updates, and tips.


Word Problems on Digits and Numbers

We will learn how to solve different types of word problems on digits and numbers.

1. The number of digits used in numbering each page of a book of 150 pages is

(a) 342

(b) 348

(c) 328

(d) 322

Solution:

Required number of digits = (9 × 1) + (90 × 2) + (150 - 99) × 3

                                                = 9 + 180 + 153

                                                = 342

Answer: (a)

Note: Number of 1 digit numbers = 9

Number of 2 digit numbers = 90


2. If the digits of a two-digit number are interchanged, the number so formed is 18 more than the original number. The sum of digits is 8. What is the thrice value of original number?

(a) 159

(b) 78

(c) 105

(d) None

Solution:

Let, the unit’s and ten’s digit be ‘a’ and ‘b’ respectively.

Therefore, a + b = 8 and a - b = 18 ÷ 9 = 2

Since, a = (8 + 2) ÷ 2 = 5 and b = 5 - 2= 3

Therefore, the required value is 3 × 35 = 105

Answer: (c)


3. A two-digit number is eight times the sum of its digits. If 45 is subtracted from the numbers, the position of digits get interchanged. The number is:

(a) 56

(b) 83

(c) 72

(d) None

Solution:

Two digits differ by = 45 ÷ 9 = 5 and the number is divisible by 8.

Now according the options,

The required number is 72

Answer: (c)

Note: The difference of a two digit number and the number obtained by writing it in reverse order is equal to nine times of difference of digits.


4. Find the total numbers of three-digit numbers, which are exactly divisible by six?

(a) 340

(b) 126

(c) 190

(d) 150

Solution:

Total number of 3-digit numbers from 100 to 999 is 900.

Therefore, the least 3-digit number divisible by 6 is 6 × 17 = 102 and greatest number is 6 × 166 = 996

Therefore, required number of numbers = 166 - 17 + 1 = 150

Answer: (d)


5. A mathematics book containing 20 pages. One sheet is missing among them. Sum of the page numbers of the remaining pages of the mathematics book is 195. The numbers written on both the sides of the missing sheet of the mathematics book must be

(a) 9, 10

(b) 11, 12

(c) 5, 6

(d) 7, 8

Solution:

Sum of the page numbers of the book = 1 + 2 + 3 + ................ + 19 + 20 = (20 × 21)/2 = 210

The sum of page numbers of missing sheet = 210 - 195 = 15 = (7 + 8)

Therefore, required page number of missing sheet = 7 and 8.

Answer: (d)




Math Employment Test Samples 

From Word Problems on Digits and Numbers to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. 8 Times Table | Multiplication Table of 8 | Read Eight Times Table

    May 18, 25 04:33 PM

    Printable eight times table
    In 8 times table we will memorize the multiplication table. Printable multiplication table is also available for the homeschoolers. 8 × 0 = 0 8 × 1 = 8 8 × 2 = 16 8 × 3 = 24 8 × 4 = 32 8 × 5 = 40

    Read More

  2. Worksheet on Average | Word Problem on Average | Questions on Average

    May 17, 25 05:37 PM

    In worksheet on average interest we will solve 10 different types of question. Find the average of first 10 prime numbers. The average height of a family of five is 150 cm. If the heights of 4 family

    Read More

  3. How to Find the Average in Math? | What Does Average Mean? |Definition

    May 17, 25 04:04 PM

    Average 2
    Average means a number which is between the largest and the smallest number. Average can be calculated only for similar quantities and not for dissimilar quantities.

    Read More

  4. Problems Based on Average | Word Problems |Calculating Arithmetic Mean

    May 17, 25 03:47 PM

    Here we will learn to solve the three important types of word problems based on average. The questions are mainly based on average or mean, weighted average and average speed.

    Read More

  5. Rounding Decimals | How to Round a Decimal? | Rounding off Decimal

    May 16, 25 11:13 AM

    Round off to Nearest One
    Rounding decimals are frequently used in our daily life mainly for calculating the cost of the items. In mathematics rounding off decimal is a technique used to estimate or to find the approximate

    Read More