# Number System Divisibility

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

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

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

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

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

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”

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

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

Q 9 – Which of the following prime numbers while dividing 2176 leaves 9 as remainder ?
• 17
• 29
• 167
• 197

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

Q 13 – Which of the following is multiple of 11 in the following numbers ?
• 112144
• 447355
• 869756
• 978626

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

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

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

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

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

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

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