This section will covering Aptitude Questions on Number System Divisibility. Problems on this topic appear consistently across all competitive exams, Job interviews and GRE entrance exams.

Few important facts in regard to solving Questions on number system are as —

- A number is divisible by 2 if its unit digit is any of 0,2,4,6,8
- A number is divisible by 3 only when sum of its digits is divisible by 3. For eg number 129, sum of its digits is 1+2+9 = 12 which is divisible by 3.
- A number is divisible by 9 only when the sum of its digits is divisible by 9. For eg number 24651, sum of its digit is 18 which is divisible by 9.
- A number is divisible by 4 if if the number formed by its last 2 digits is divisible by 4.
- A number is divisible by 8 if if the number formed by its last 3 digits is divisible by 8.

1000+ Aptitude Questions on Numerical ability !!

Number System Divisible Test Series

**Q 1 – If the sum of two numbers is 14 and their difference is 10. Find the product of these two numbers ?**

- 10
- 20
- 22
- 24

View Answer

Answer is “D”

**Q 2 – If the difference of the squares of two natural numbers is 19, Find the sum of square of these numbers ?**

- 181
- 189
- 191
- 195

View Answer

Answer is “A”

**Q 3 – The difference between 4/5 of a number and 45% of the number is 56%. What is 65% of the number ?**

- 96
- 104
- 112
- 120

View Answer

Answer is “B”

**Q 4 – The difference between the greatest and the least four digit numbers that begins with 3 and ends with 5 is ?**

- 900
- 909
- 999
- 990

View Answer

Answer is “D”

**Q 5 – The numbers from 1 to 29 are written side by side as follows — 12345678910 —–272829 ,if this number is divided by 9, then what is the remainder ?**

- 0
- 1
- 3
- 5

View Answer

Answer is “C”

**Q 6 – A number when divided by three consecutive numbers leave 9,11,13 leaves the remainders 8,9 and 8 respectively. if the order of divisors is reversed, the remainders will be ?**

- “10, 8, 9”
- “10, 1, 6”
- “8, 9, 8”
- “9, 8, 8”

View Answer

Answer is “B”

**Q 7 – A number when divided by 195 leaves a remainder 47. if the same number is divided by 15, the remainder will be ..?**

- 1
- 2
- 3
- 4

View Answer

Answer is “B”

**Q 8 – In a division problem, the divisor is 7 times of quotient and 5 times of remainder. If the dividend is 6 times of remainder, then the quotient is equal to .. ?**

- 1
- 3
- 5
- 7

View Answer

Answer is “A”

**Q 9 – Which of the following prime numbers while dividing 2176 leaves 9 as remainder ?**

- 17
- 29
- 167
- 197

View Answer

Answer is “D”

**Q 12 – The digits indicated by X in 3422213XX so that number is divisible by 99 are .. ?**

- 1,9
- 3,7
- 4,6
- 5,5

View Answer

Answer is “A”

**Q 13 – Which of the following is multiple of 11 in the following numbers ?**

- 112144
- 447355
- 869756
- 978626

View Answer

Answer is “D”

**Q 14 – On multiplying a number by 7, all the digits in the product appear as 3’s. The smallest such number is ..?**

- 47619
- 46719
- 48619
- 47649

View Answer

Answer is “A”

**Q 15 – The numbers 1,3,5,…..,25 are multiplied together. the number of Zeroes at the right end of the product is .. ?**

- 0
- 1
- 2
- 3

View Answer

Answer is “A”

**Q 16 – A 3 digit number 4a3 is added to another 3 digit number 984 to give the four digit number 13b7. Then (a+b) is equal to .. ?**

- 10
- 11
- 12
- 15

View Answer

Answer is “A”

**Q 17 – 7 is added to a certain number; the sum is multiplied by 5; the product is divided by 9 and 3 is subtracted from the quotient. Thus, if the remainder left is 12, what was the original number ?**

- 15
- 20
- 25
- 30

View Answer

Answer is “B”

**Q 18 – The sum of four consecutive even numbers A, B, C and D is 180. What is the sum of the set of next four consecutive even numbers ?**

- 198
- 206
- 212
- 218

View Answer

Answer is “C”

**Q 19 – If p and q represents digit, what is the maximum possible value of q in the this equation 5p9 + 327 + 2q8 = 1114 ?**

- 6
- 7
- 8
- 9

View Answer

Answer is “B”

**Q 20 – A 3 digit number 4a3 is added to another 3 digit number 984 to give the four digit number 13b7. Then (a+b) is equal to .. ?**

- 10
- 11
- 12
- 15

View Answer

Answer is “A”