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SSC CGL Arithmetical Reasoning — practice questions

Explore 56 free Arithmetical Reasoning questions in SSC CGL Reasoning. Open each question or exercise to read its content, reference answers and available explanation.

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Arithmetical Reasoning questions and exercises with answers

Showing questions 1–30 of 56.

A number is divisible by 5 only if its last digit is which pair?Read the answer and worked solution →Which pair of tests together proves a number is divisible by 6?Read the answer and worked solution →Pick the number that 6 divides exactly.Read the answer and worked solution →A number is divisible by 3 when which quantity is divisible by 3?Read the answer and worked solution →Choose the multiple of 9 from the list below.Read the answer and worked solution →Which digit must replace * so that 52* is divisible by 9?Read the answer and worked solution →The test for 4 looks at which part of a number?Read the answer and worked solution →Pick the multiple of 4 from the following list.Read the answer and worked solution →Choose the digit that makes 4,5k2 a multiple of 4.Read the answer and worked solution →Which test is used to check divisibility by 11?Read the answer and worked solution →Which number passes the alternating-sum test for 11?Read the answer and worked solution →The alternating digit sum of 907,071 is 22. What follows about 907,071?Read the answer and worked solution →A number 10x + y is divisible by 7 exactly when which expression is?Read the answer and worked solution →Applying x - 2y to the number 301 shows it is a multiple of 7. What value results?Read the answer and worked solution →Which option is a multiple of 7, using the subtract-twice-the-last-digit trick?Read the answer and worked solution →To test divisibility by 36, which pair of divisors should be checked?Read the answer and worked solution →A number divisible by both 3 and 12 need not be divisible by 36. Which number shows this?Read the answer and worked solution →Divisibility by 8 depends on how many final digits of the number?Read the answer and worked solution →Using only the last three digits, which number is a multiple of 8?Read the answer and worked solution →To prove divisibility by 24, which two checks suffice?Read the answer and worked solution →To divide 340 by 5 with the shortcut, which number is doubled?Read the answer and worked solution →For 135, double the remaining digits and add one. What quotient of 135 divided by 5 results?Read the answer and worked solution →A number divisible by both 2 and 5 must end in which digit?Read the answer and worked solution →Choose the number that 3 divides but 9 does not.Read the answer and worked solution →A number divisible by 9 is always divisible by which of these?Read the answer and worked solution →In base twelve, the digit sum gives the remainder on division by which number?Read the answer and worked solution →Is zero an even or an odd integer?Read the answer and worked solution →Parity (even or odd) is defined only for which kind of numbers?Read the answer and worked solution →Adding two odd numbers always gives a number of what type?Read the answer and worked solution →Multiplying an even and an odd number gives what type of result?Read the answer and worked solution →

Worked practice questions

A number is divisible by 5 only if its last digit is which pair?

  1. 0 or 2
  2. 0 or 5
  3. 2 or 5
  4. 5 or 7
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Correct answer: B. 0 or 5

Multiples of 5 always end in 0 or 5, so the last digit alone settles the test.

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Which pair of tests together proves a number is divisible by 6?

  1. By 2 and by 4
  2. By 3 and by 4
  3. By 2 and by 3
  4. By 3 and by 9
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Correct answer: C. By 2 and by 3

Since 6 is 2 times 3 and these are coprime, a multiple of both 2 and 3 is a multiple of 6.

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Pick the number that 6 divides exactly.

  1. 4,325
  2. 3,214
  3. 5,102
  4. 4,326
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Correct answer: D. 4,326

4,326 is even and its digit sum 4+3+2+6 = 15 is a multiple of 3, so it passes both tests for 6.

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