Simplification Questions and Answers – Page 9

The verified answer is 149, option C. Simplify roots through perfect-power factors and evaluate operations in the correct order. For “Simplify and calculate: √22201.”, 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 √22201 gives 149.. 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 153, 147, 151 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 149.

For “Simplify: (500 - 200) x 3 / 6”, 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 (500 - 200) x 3 / 6 gives 150.. The distractors 155, 140, 145 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 442, option B. Apply BODMAS: brackets, orders, division and multiplication from left to right, then addition and subtraction. For “Simplify and calculate: 7^2 x 3^2 + 1.”, 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 7^2 x 3^2 + 1 gives 442.. 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 441, 443, 440 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: 1080 / 36 x 4 - 40”, 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 1080 / 36 x 4 - 40 gives 80..

The verified answer is 200, option D. Apply BODMAS: brackets, orders, division and multiplication from left to right, then addition and subtraction. For “Simplify and calculate: 25 x 4 x 3 - 50 x 2.”, 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 25 x 4 x 3 - 50 x 2 gives 200.. 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 205, 190, 195 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 144, option D. Simplify roots through perfect-power factors and evaluate operations in the correct order. For “Simplify: √20736”, 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 √20736 gives 144.. The distractors 146, 148, 142 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 144.

The verified answer is 112, option B. Convert mixed values where needed, use a common denominator, and apply division as multiplication by the reciprocal. For “Simplify and calculate: 1111 / 11 + 11.”, 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 1111 / 11 + 11 gives 112.. 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 111, 113, 110 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 324, option D. For “Simplify: 144 x 3 - 12 x 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 144 x 3 - 12 x 9 gives 324.. The distractors 318, 320, 322 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 243, option C. Apply BODMAS: brackets, orders, division and multiplication from left to right, then addition and subtraction. For “Simplify and calculate: 3 x 3 x 3 x 3 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 3 x 3 x 3 x 3 x 3 gives 243.. 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 249, 240, 246 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: 10000 - 999 x 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 10000 - 999 x 9 gives 1009.. The distractors 1018, 991, 1000 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.