Solve the given equation. 130 - 246 ÷ (1223 + 343)

2024

Solve the given equation. 130 - 246 ÷ (1223 + 343)

  1. A.

    132.423

  2. B.

    129.843

  3. C.

    135.324

  4. D.

    134.098

Attempted by 3 students.

Show answer & explanation

Correct answer: B

BODMAS (Brackets, Orders, Division/Multiplication, Addition/Subtraction) fixes the order in which a mixed arithmetic expression must be evaluated: resolve everything inside brackets first, then carry out division and multiplication, and only then perform addition and subtraction. Skipping this order changes the result.

  1. Solve the bracket first: 1223 + 343 = 1566.

  2. Carry out the division next: 246 ÷ 1566 ≈ 0.157.

  3. Finally perform the subtraction: 130 − 0.157 = 129.843.

Cross-check with exact fractions: 246 ⁄ 1566 simplifies to 41 ⁄ 261 (dividing both by 6). So the expression equals 130 − 41⁄261 = (130 × 261 − 41) ⁄ 261 = 33889 ⁄ 261 = 129.843 (rounded to three decimals), confirming the step-by-step decimal calculation above.

Hence, the value of the expression is 129.843.

Explore the full course: Aptitude For Placement

Loading lesson…