Simplification Questions and Answers

The verified answer is 229, option C. Simplify roots through perfect-power factors and evaluate operations in the correct order. For “Simplify and calculate the value of √52441.”, 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 √52441 gives 229.. 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 233, 227, 231 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 100, option D. For “Simplify: 3000 / 15 / 5 + 60”, 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 3000 / 15 / 5 + 60 gives 100.. The distractors 102, 104, 98 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: 20^2 + 21^2 - 29^2.”, 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 1000, option C. For “Simplify: 6000 / (3 x 10) x 5”, 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 6000 / (3 x 10) x 5 gives 1000.. The distractors 990, 995, 1005 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 225, option C. Simplify roots through perfect-power factors and evaluate operations in the correct order. For “Simplify and calculate: √50625.”, 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 √50625 gives 225.. 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 229, 223, 227 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 225.

For “Simplify: 36 x 3.5 - 21 x 4”, retain the exact signs, brackets, powers and numerical conditions before beginning the calculation.

Apply BODMAS: brackets, orders, division and multiplication from left to right, then addition and subtraction. For “Simplify and calculate: 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19.”, 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 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 gives 100.. 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 105, 110, 95 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 220, option B. Simplify roots through perfect-power factors and evaluate operations in the correct order. For “Simplify: √48400”, 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 √48400 gives 220.. The distractors 218, 222, 224 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. An independent reverse-check again gives 220.

The verified answer is 500, option C. Apply BODMAS: brackets, orders, division and multiplication from left to right, then addition and subtraction. For “Simplify and calculate: 11 x 9 x 7 - 11 x 9 x 7 + 500.”, 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 11 x 9 x 7 - 11 x 9 x 7 + 500 gives 500.. 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 510, 495, 505 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: 5000 / 25 + 40 x 5”, 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 5000 / 25 + 40 x 5 gives 400.. The distractors 405, 390, 395 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.