Number Divisibility Rules

Divisibility Rules of whether a number is divisible by 2, 3, 4, 5, 6, 8, 9 and 10

NumberRuleExample
2Last digit in the number is even.14, 102, 118, 560
all end in even numbers, so all are divisible by 2.
3Sum of the digits of the number is divisible by 3.
The sum of the digits of 396 is 3+9+6 = 18 which is
divisible by 3, so 396 is divisible by 3.
4Number formed by the last 2 digits is divisible by 4.Last 2 digits of 1424 is 24, which is divisible by
4, so 1424 is divisible by 4.
5Last digit is 0 or 535, 90, 475
6Number is even and divisible by 3.144 is even and is divisible by 3 (sum of digits 1+4+4 = 9, divisible by 3), so 144 is divisible by 6.
8Last 3 digits divisible by 8 or Last 3 digit is 000Last 3 digits of 83400 is 400 which is divisible by 8. Last 3 digits of 1000 is 000 hence it is divisible by 8
9Sum of the digits of the number is divisible by 9.Sum of the digits of 1485 is 1+4+8+5 = 18
which is divisible by 9, so 1485 is divisible by 9
10Last digit is 090, 120, 680
Number Divisibility Rules

Problems on Divisibility

1. Determine the following numbers which are divisible by 2, using the test of divisibility by 2:

(i) 176, (ii) 221, (iii) 327, (iv) 90, (v) 192

2. Let us consider the following numbers to find whether the numbers are divisible or not divisible by 3:

(i) 176, (ii) 221, (iii) 327, (iv) 90, (v) 192

 3. Is 7248 is divisible (i) by 4, (ii) by 2 and (iii) by 8?

4. Without actual division, find if 235932 is divisible (i) by 4 and (ii) 8.

5. Determine which of the following numbers which are divisible by 6, using the test of divisibility by 6: 42, 144, 180, 258, 156

6. Determine which of the following numbers which are divisible by 9, using the test of divisibility by 9: 

99, 198, 171, 9990, 3411.

Place Value – Greatest & Smallest Numbers – Grade/Class 4

  1. The greatest 4 digit number without repeating the digits is __________________________________
  2. The greatest 4 digit number with repeating the digits is ___________________________
  3. The smallest 4 digit number without repeating the digits is _____________________________
  4. The smallest 4 digit number with repeating the digits is ________________________
  5. The smallest 6 digit number made from digits 7,1,9,0 is ______________________________
  6. The greatest 6 digit number made by 7,1,9,0 is ______________________________
  7. 1 less than the smallest 5 digit number is ____________________________
  8. 1 more than the greatest 5 digit number is ____________________________
  9. 1 less than greatest 6 digit number without repeating the digits is __________________________________
  10. 1 more than smallest 6 digit number without repeating the digits is __________________________________
  11. Write the greatest and the smallest numbers using the digits 1, 0, 3, 5, 9
GreatestSmallest
5 digit number________________________________________________
6 digit number________________________________________________
7 digit number________________________________________________

Please provide your answers in comment box. For any queries on the questions or right answers, reach out to us on contact us over email – contactus@abhyas.co.in

Mental Ability – Competitive Exam Preparation – Number Series by adding fixed number – NTSE, NCO, NSO, IMO and other Competitive Exams

Mental Ability – Competitive Exam Preparation – Number Series by adding fixed number – NTSE, NCO, NSO, IMO and other Competitive Exams

The sequence or series of numbers created by adding fixed number :

  1. 5 , 7 , 9 , 11 , 13 etc – Number sequence obtained by adding fixed number 2
  2. 6, 11, 16, 21, 26 etc – Number sequence obtained by adding fixed number 5

Similarly number sequence can be obtained by adding two fixed numbers alternatively or by adding two fixed numbers after repeated series. Example below:

5, 7, 10,12, 15, 17, 20 etc – This number sequence is formed by adding 2 and 3 alternatively

5, 6, 7, 9, 11, 13, 16, 19, 22 etc – This number sequence is formed by adding fixed number 1 , 2 and 3 after regular interval i.e after 3 numbers

Below is some questions to practise this. Please leave your answers in comment box on this page or write to us on abhyas.practise@gmail.com.

We will revert back with right answers at the earliest

Complete the sequence by adding fixed numbers

  1. 1234, 1236, 1238, _____, 1242, 1244, _____
  2. 1400, 1500, ______ , 1700, 1800, 1900, ______
  3. 3, 9, 15, _____, 27, 33, 39, ______, 51
  4. 8, 17, _____, 35, 44, _____, 62
  5. 10, 15, 25, 35, 40, 45, 55, 65, _____ , 75, 85, ______
  6. 6, 9, 15, 21, 24, 27, 33, ______ , 42, ______
  7. 3, 5, 7, 10, 13, 16, 18, 20, _____, 25, ______, 31
  8. 10, 20, 50, _____, 90, 100, 130, 160, _____, 180, 210, 240
  9. 1000, 1200, 1600,________, 2200, 2400, 2800, 3200
  10. 86, 96, 116, 136, 166, ______, 236, 276, 326, 376

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Ascending and Descending Numbers for Olympiad Exam – IMO etc – Class 3

Ascending and Descending Numbers for Olympiad Competitive Exam – IMO etc – Class 3

  1. Which of below options shows number is descending order ?

a) One Hundred b) One Hundred Ten

2. Which of below options shows number is ascending order ?

a) One Hundred b) One Hundred Ten

Use below number list to answer questions 3 – 8

98789978
89789788
89995678
97899089
99097900
Number List for Questions 3 -8

3. Which is largest number ? Use Number List above for Questions 3 – 8

a. 9909b. 9978
c. 9878d. 9990
Options

4. Which is smallest number ? Use Number List above for Questions 3 – 8

a. 5500b. 7900
c. 5678d. 8978
Options

5. Which is 3rd largest number ? Use Number List above for Questions 3 – 8

a. 9909b. 9978
c. 9905d. 9878
Options

6. Which is 4rd smallest number ? Use Number List above for Questions 3 – 8

a. 5678b. 8978
c. 8900d. 8999
Options

7. Which numbers are middle numbers in the list ? Use Number List above for Questions 3 – 8

a. 8999, 9000b. 9088, 9089
c. 8999, 9089d. 9089, 9788
Options

8. What is the difference between second largest and second smallest number ? Use Number List above for Questions 3 – 8

a. 2009b. 209
c. 1000d. None of above
Options

9. Find the missing number in number list arranged in descending order

8915, ______ , 8519 , 8159

a. 8965b. 8695
c. 8515d. 8198
Options

10. Find the missing number in number list arranged in ascending order

4324 , 4432 , ________ , 4532

a. Four Thousand Five Hundred Fortyb. Four Thousand Four Hundred Thirty
c. Four Thousand Five Hundred Twentyd. Four Thousand Three Hundred Thirty
Options

Please type your answers in comment box. We will check and revert back to you.

Crack Maths Olympiad – Calendar Problem – Class 1 and 2

Maths Olympiad – Calendar Problem – Class 1 and 2

1. Duggu celebrates his birthday on Wednesday in June. Which of below dates is surely not Duggu’s birthday ?

SMTWThFS
123
45678910
11121314151617
18192021222324
25262728293031
June 20XX
A. 7 JuneB. 14 June
C. 24 JuneD. 28 June
Options

2. Which day is first day of May 20XX ?

SMTWThFS
123
45678910
11121314151617
18192021222324
252627282930
April 20XX

A. MondayB. Saturday
C. FridayD. Sunday
Options

3. Which day is last day of October 20XX ?

SMTWThFS
1234
567891011
12131415161718
19202122232425
2627282930
November 20XX
A. SundayB. Monday
C. WednesdayD. Tuesday
Options

4. Bank is closed on third Saturday of every month. Which day will be back closed in July 20XX

SMTWThFS
1234
567891011
12131415161718
19202122232425
262728293031
July 20XX
A. 18 JulyB. 25 July
C. 11 JulyD. 10 July
Options

5. Dakshu has soccer classes on Saturday on 1st Week and on Monday of 3rd week of month. Which all days in April 20XX will Dakshu go for Soccer class ?

SMTWThFS
1234
567891011
12131415161718
19202122232425
2627282930
April 20XX
A. 11 April, 20 AprilB. 4 April, 20 April
C. 4 April, 13 AprilD. 6 April, 18 April
Options

6. Duggu has Science Olympiad on 4th August and Math Olympiad 10 days after science olympiad. On which day will Math Olympiad happen ?

SMTWThFS
123
45678910
11121314151617
18192021222324
25262728293031
August 20XX
A. 11 AugustB. 12 August
C. 13 AugustD. 14 August
Options

7. Dakshu went for Piano classes on 9th September. Dakshu goes for Drawing classes after exactly 2 weeks of Piano classes ? When will Dakshu go for Drawing classes

SMTWThFS
1234
567891011
12131415161718
19202122232425
2627282930
September 20XX
A. 22 SeptemberB. 24 September
C. 23 SeptemberD. 16 September
Options

Odd and Even Number Exercises for Class 2 and Class 3 Students

  1. Write all odd numbers between 786 to 800
  2. Write all even numbers between 200 and 220
  3. Write all odd numbers between 343 and 352
  4. Write the sum of greatest odd number and smallest even number between 456 and 490
  5. Write the difference between greatest even number and smallest odd number between 677 and 710
  6. State True or False
    • Sum of Odd and Even Number is Odd Number. __________
    • Sum of two Odd Numbers is Odd Number. __________
    • Difference of Odd Number and Even Number is always Even Number. ________



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