Divisibility Quiz
Practice quiz on Divisibility (Numerical & Mental Ability). 10 exam-style questions with explanations.
About This Quiz
Divisibility Quiz — Questions with Solutions
All 10 questions from this quiz with the correct answer and explanation. Attempt them yourself first, then open each solution to check your reasoning.
Q1.A number is divisible by 3 if
- A.The last digit is 3
- B.It is odd
- C.The last two digits are 03
- D.The sum of its digits is divisible by 3
Show answer
Answer: D. The sum of its digits is divisible by 3
Digit-sum test for 3.
Q2.Which of these is divisible by 4?
- A.316
- B.322
- C.518
- D.314
Show answer
Answer: A. 316
16 is divisible by 4.
Q3.Which of these is divisible by 9?
- A.742
- B.729
- C.730
- D.731
Show answer
Answer: B. 729
7+2+9 = 18.
Q4.A number is divisible by 11 if the difference of sums of alternate digits is
- A.0 or a multiple of 11
- B.Odd
- C.Any prime
- D.1
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Answer: A. 0 or a multiple of 11
The alternating sum test for 11.
Q5.Which number is divisible by 6?
- A.131
- B.133
- C.132
- D.135
Show answer
Answer: C. 132
132 is even and digit-sum 6.
Q6.A number divisible by both 2 and 5 must end in
- A.5
- B.2
- C.Any even digit
- D.0
Show answer
Answer: D. 0
It must be divisible by 10.
Q7.The smallest number to be added to 1000 to make it divisible by 7 is
- A.1
- B.5
- C.6
- D.3
Show answer
Answer: A. 1
1000 = 7 x 142 + 6, so add 1.
Q8.Which of these is divisible by 8?
- A.1026
- B.1024
- C.1042
- D.1030
Show answer
Answer: B. 1024
Last three digits 024 divisible by 8.
Q9.If 5A4 is divisible by 3 (A is a digit), a possible value of A is
- A.3
- B.1
- C.4
- D.2
Show answer
Answer: A. 3
5+3+4 = 12.
Q10.The remainder when 97 is divided by 8 is
- A.2
- B.7
- C.1
- D.0
Show answer
Answer: C. 1
8 x 12 = 96.
Frequently Asked Questions
Is Divisibility Quiz free to attempt on AajExam?
Yes. Divisibility Quiz is completely free. You only need a free AajExam account to track your score, view detailed solutions and unlock cross-attempt analytics.
How long does it take to complete Divisibility Quiz?
Divisibility Quiz runs on a 10-minute timer in real exam-style conditions. The clock starts the moment you click Start, mirroring the time pressure of the actual exam.
Are detailed solutions provided?
Yes. Every question on Divisibility Quiz ships with a complete step-by-step solution, the underlying concept, and (where applicable) shortcut tricks. You can also discuss any question with the AajExam community.
Can I attempt Divisibility Quiz multiple times?
Yes. You can attempt this quiz as many times as you like. Each attempt is recorded separately so you can track improvement in score, accuracy and time-management.
Which government exams does this quiz prepare me for?
Number System questions appear regularly in SSC CGL, CHSL, MTS, GD; IBPS PO, Clerk; SBI PO, Clerk; RRB NTPC, Group D; UPSC prelims and most State PSC exams. The specific weightage varies by exam — check the exam pattern on the corresponding AajExam exam page for details.