Simplification Questions and Answers – Page 8

Apply BODMAS: brackets, orders, division and multiplication from left to right, then addition and subtraction. For “Simplify and calculate: 5 + 55 + 555 + 5555.”, retain the exact signs, brackets, powers and numerical conditions before beginning the calculation. The question-specific working recorded with the item is: Applying BODMAS to 5 + 55 + 555 + 5555 gives 6170.. 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 6175, 6180, 6160 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.

For “Simplify: 21^2 - 20^2”, retain the exact signs, brackets, powers and numerical conditions before beginning the calculation.

Convert mixed values where needed, use a common denominator, and apply division as multiplication by the reciprocal. For “Simplify and calculate: 720 / (4 x 6) + 30.”, retain the exact signs, brackets, powers and numerical conditions before beginning the calculation. The question-specific working recorded with the item is: Applying BODMAS to 720 / (4 x 6) + 30 gives 60.. 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. 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.

The verified answer is 210, option D. For “Simplify: 2744 / 14 + 14”, retain the exact signs, brackets, powers and numerical conditions before beginning the calculation. The question-specific working recorded with the item is: Applying BODMAS to 2744 / 14 + 14 gives 210.. The distractors 212, 214, 208 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.

Apply BODMAS: brackets, orders, division and multiplication from left to right, then addition and subtraction. For “Simplify and calculate: 33 x 33 - 32 x 32.”, retain the exact signs, brackets, powers and numerical conditions before beginning the calculation. 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. 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.

The verified answer is 400, option C. For “Simplify: 40% of 500 + 50% of 400”, retain the exact signs, brackets, powers and numerical conditions before beginning the calculation. The question-specific working recorded with the item is: Applying BODMAS to 40% of 500 + 50% of 400 gives 400.. The distractors 390, 395, 405 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.

The verified answer is 152, option C. Simplify roots through perfect-power factors and evaluate operations in the correct order. For “Simplify and calculate: √23104.”, retain the exact signs, brackets, powers and numerical conditions before beginning the calculation. The question-specific working recorded with the item is: Applying BODMAS to √23104 gives 152.. 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 156, 150, 154 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. An independent reverse-check again gives 152.

The verified answer is 420, option D. For “Simplify: 96 x 5 - 480 / 8”, retain the exact signs, brackets, powers and numerical conditions before beginning the calculation. The question-specific working recorded with the item is: Applying BODMAS to 96 x 5 - 480 / 8 gives 420.. The distractors 425, 430, 415 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.

Convert mixed values where needed, use a common denominator, and apply division as multiplication by the reciprocal. For “Simplify and calculate: 3456 / 12 / 8.”, retain the exact signs, brackets, powers and numerical conditions before beginning the calculation. The question-specific working recorded with the item is: Applying BODMAS to 3456 / 12 / 8 gives 36.. 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. 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.

For “Simplify: 8 x 8 - 5 x 5 - 3”, retain the exact signs, brackets, powers and numerical conditions before beginning the calculation.