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mediumQ. No. 11630-which-number-is-divisible-by-2-and-3

Which number is divisible by 2 and 3?

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This Number System question develops accurate interpretation and stepwise calculation for “Which number is divisible by 2 and 3?”. The explanation preserves the original mathematical conditions, verifies 126, and identifies common errors involving signs, brackets, operation order, factors, remainders or fraction handling. The item supports SSC, Railway, Banking, State examinations and other quantitative aptitude tests where numerical speed must remain consistent with exact arithmetic reasoning. The verified result is 126.

A130
B124
C126
D128
Correct Answer: 126Your Answer: C

Explanation

The verified answer is 126, option C. The question-specific working recorded with the item is: 126 divisible by 6.. Write one justified transformation per line, cancel common factors only when multiplication permits it, and preserve the left-to-right rule for operations of equal priority. The distractors 130, 124, 128 may arise from changing the order of operations, mishandling a negative sign, using an incorrect reciprocal, ignoring a divisibility condition, or rounding an exact value. Estimate the expected sign and approximate magnitude before accepting an option. The exact answer should be consistent with those bounds and with every restriction in the stem. This explanation connects the result with a reproducible method instead of isolated answer recall and strengthens calculation discipline, pattern recognition and option elimination for SSC, Railway, Banking and other competitive aptitude examinations.

Important Notes

  • Correct answer: 126; option C, zero-based index
  • Question-specific working: 126 divisible by
  • Preserve signs, brackets and left-to-right order for equal-priority operations.

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FAQ

Number System FAQs

Common questions and clear answers for this topic.

Which method applies to this question?

Use divisibility rules or modular arithmetic, reducing large values before calculation.

What is the verified answer?

126, option C.

What is a common error?

Changing operation order, losing a sign, or simplifying a factor where cancellation is invalid.

How can the result be checked?

Substitute it back, estimate its magnitude, or recompute using an equivalent form.

What is Number System in mathematics and what types of numbers are important for exams?

Number System covers Natural Numbers (1,2,3), Whole Numbers (0,1,2,3), Integers, Rational Numbers (p/q form), Irrational Numbers (like pi and root 2), and Real Numbers. For competitive exams like SSC CGL and IBPS, focus on: divisibility rules, LCM and HCF, factors, prime numbers, and unit digit calculations.

What are the important divisibility rules in Number System?

Divisibility rules: Divisible by 2 - last digit even. By 3 - sum of digits divisible by 3. By 4 - last two digits divisible by 4. By 5 - last digit 0 or 5. By 6 - divisible by both 2 and 3. By 8 - last three digits divisible by 8. By 9 - sum of digits divisible by 9. By 11 - difference of alternating digit sums divisible by 11. Mastering these rules helps solve Number System questions faster in competitive exams.

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Which number is divisible by 2... | Number System MCQ | Exambodh