Source: Extra Practice

Which of the following expressions simplifies to 1010?

Options

Option A

205×2+420 - 5 \times 2 + 4

Option B is correct

(155)×2÷2(15 - 5) \times 2 \div 2

Option C

30÷(2+3)×130 \div (2 + 3) \times 1

Option D

40÷8+3×240 \div 8 + 3 \times 2

Explanation

We need to evaluate each expression using the order of operations (BODMAS/PEMDAS):

  1. Expression A: 205×2+420 - 5 \times 2 + 4 2010+420 - 10 + 4 (Multiplication first) 10+410 + 4 (Subtraction then Addition from left to right) =14= 14 (Not 10)

  2. Expression B: (155)×2÷2(15 - 5) \times 2 \div 2 10×2÷210 \times 2 \div 2 (Brackets first) 20÷220 \div 2 (Multiplication then Division from left to right) =10= 10 (This is 10)

  3. Expression C: 30÷(2+3)×130 \div (2 + 3) \times 1 30÷5×130 \div 5 \times 1 (Brackets first) 6×16 \times 1 (Division then Multiplication from left to right) =6= 6 (Not 10)

  4. Expression D: 40÷8+3×240 \div 8 + 3 \times 2 5+65 + 6 (Division and Multiplication first) =11= 11 (Not 10)

Therefore, only expression B simplifies to 10.