Simplification Questions and Answers – Page 13

Apply BODMAS: brackets, orders, division and multiplication from left to right, then addition and subtraction. For “Simplify and calculate: 45^2 - 44^2.”, 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.

Simplify roots through perfect-power factors and evaluate operations in the correct order. For “Simplify: √2304 + √2304”, 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 √2304 + √2304 gives 96..

Convert mixed values where needed, use a common denominator, and apply division as multiplication by the reciprocal. For “Simplify and calculate: 2400 / 8 / 5 + 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 2400 / 8 / 5 + 40 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 198, option B. For “Simplify: 66 x 9 - 66 x 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 66 x 9 - 66 x 6 gives 198.. The distractors 195, 201, 204 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 102, option C. Simplify roots through perfect-power factors and evaluate operations in the correct order. For “Simplify and calculate: √10404.”, 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 √10404 gives 102.. 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 106, 100, 104 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 102.

The verified answer is 220, option D. For “Simplify: 4500 / 45 + 60 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 4500 / 45 + 60 x 2 gives 220.. The distractors 225, 230, 215 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: 17^2 + 8^2 - 100.”, 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 17^2 + 8^2 - 100 gives 253.. 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 155, 157, 150 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: (400 + 100) / 25 + 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 (400 + 100) / 25 + 5 gives 25..

The verified answer is 100, option D. Apply BODMAS: brackets, orders, division and multiplication from left to right, then addition and subtraction. For “Simplify and calculate: 50 x 6 - 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 50 x 6 - 40 x 5 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, 90, 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.

For “Simplify: 1296 / 36 + 18 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 1296 / 36 + 18 x 2 gives 72..