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Four of five parts lettered (A), (B),(C)...

Four of five parts lettered (A), (B),(C),(D) and (E) are exactly equal. Which of the parts is not equal to the other four ? The letter of that part is the answer....
`(A) 42/5 of 140+334=`
`(B) 95% of 500 + 50% of 900=`
`(C)1860+380-1290=`
`(D) 21/3 of 330 +180=`
`(E) 6.5xx120 +2.5xx80-30`

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The correct Answer is:
To solve the problem, we will evaluate each of the five parts (A), (B), (C), (D), and (E) and determine which one is not equal to the others. ### Step 1: Calculate Part (A) Part (A) is given as: \[ A = \frac{42}{5} \times 140 + 334 \] First, calculate \(\frac{42}{5} \times 140\): \[ \frac{42 \times 140}{5} = \frac{5880}{5} = 1176 \] Now, add 334: \[ A = 1176 + 334 = 1510 \] ### Step 2: Calculate Part (B) Part (B) is given as: \[ B = 95\% \text{ of } 500 + 50\% \text{ of } 900 \] Calculate \(95\% \text{ of } 500\): \[ \frac{95}{100} \times 500 = 475 \] Calculate \(50\% \text{ of } 900\): \[ \frac{50}{100} \times 900 = 450 \] Now, add both results: \[ B = 475 + 450 = 925 \] ### Step 3: Calculate Part (C) Part (C) is given as: \[ C = 1860 + 380 - 1290 \] First, add \(1860 + 380\): \[ 1860 + 380 = 2240 \] Now, subtract 1290: \[ C = 2240 - 1290 = 950 \] ### Step 4: Calculate Part (D) Part (D) is given as: \[ D = \frac{21}{3} \times 330 + 180 \] Calculate \(\frac{21}{3} \times 330\): \[ \frac{21 \times 330}{3} = 7 \times 330 = 2310 \] Now, add 180: \[ D = 2310 + 180 = 2490 \] ### Step 5: Calculate Part (E) Part (E) is given as: \[ E = 6.5 \times 120 + 2.5 \times 80 - 30 \] Calculate \(6.5 \times 120\): \[ 6.5 \times 120 = 780 \] Calculate \(2.5 \times 80\): \[ 2.5 \times 80 = 200 \] Now, add and subtract: \[ E = 780 + 200 - 30 = 950 \] ### Summary of Results - \(A = 1510\) - \(B = 925\) - \(C = 950\) - \(D = 2490\) - \(E = 950\) ### Conclusion The parts that are equal are (C), (D), and (E) which all equal 950. Part (A) equals 1510 and part (B) equals 925. Therefore, the part that is not equal to the others is: **Answer: (A)**
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