Simplification Questions and Answers – Page 12

Convert mixed values where needed, use a common denominator, and apply division as multiplication by the reciprocal. For “Simplify and calculate: 200 / 4 + 200 x 4 - 200.”, 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 200 / 4 + 200 x 4 - 200 gives 650.. 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 645, 655, 648 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.

The verified answer is 252, option C. For “Simplify: 1575 / 25 x 4”, 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 1575 / 25 x 4 gives 252.. The distractors 250, 255, 260 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 9990, option C. Apply BODMAS: brackets, orders, division and multiplication from left to right, then addition and subtraction. For “Simplify and calculate: 999 x 9 + 999.”, 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 999 x 9 + 999 gives 9990.. 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 10000, 9985, 9995 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.

Simplify roots through perfect-power factors and evaluate operations in the correct order. For “Simplify: √6561”, 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 √6561 gives 81..

The verified answer is 342, option B. Convert mixed values where needed, use a common denominator, and apply division as multiplication by the reciprocal. For “Simplify and calculate: 18^3 / 18 + 18.”, 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 18^3 / 18 + 18 gives 342.. 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 340, 346, 336 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.

The verified answer is 300, option C. For “Simplify: (630 + 70) / 7 x 3”, 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 (630 + 70) / 7 x 3 gives 300.. The distractors 290, 295, 305 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 390, option D. Convert mixed values where needed, use a common denominator, and apply division as multiplication by the reciprocal. For “Simplify and calculate: 120 x 4 - 360 / 4.”, 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 120 x 4 - 360 / 4 gives 390.. 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 395, 380, 385 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.

The verified answer is 260, option D. For “Simplify: 44 x 5 + 360 / 9”, 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 44 x 5 + 360 / 9 gives 260.. The distractors 265, 270, 255 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 105, option B. Simplify roots through perfect-power factors and evaluate operations in the correct order. For “Simplify and calculate: √11025.”, 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 √11025 gives 105.. 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 102, 108, 100 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 105.

The verified answer is 180, option B. For “Simplify: 7200 / 90 + 25 x 4”, 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 7200 / 90 + 25 x 4 gives 180.. The distractors 175, 185, 190 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.