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Examoogle • User • info@examoogle.com • EE-2024-8821
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The value of 82+102−116−5=
65
66
62
73
65
Solve powers and square roots first according to BODMAS: 82=64, 102=10, and 16=4. Then perform addition and subtraction in a single line: 64+10−4−5=65.
Mathematical expression: 8 squared plus square root of 10 squared minus 1 times square root of 16 minus 5
82+102−116−5
Solve powers and square roots first according to BODMAS: 82=64, 102=10, and 16=4. Then perform addition and subtraction in a single line: 64+10−4−5=65.
Confusing the multiplication coefficient of 116 as a number 16 or missing the multiplication operation between 1 and 16.
Evaluate Exponents and Roots
Calculate the square 82=64, the root 102=10, and the root 16=4.
64+10−1(4)−5
Perform Multiplication
Multiply 1 by the result of the root: 1×4=4.
64+10−4−5
Perform Addition and Subtraction
Combine the terms sequentially: 64+10=74, then 74−4=70, and finally 70−5=65.
74−4−5=65
A is correct because the final evaluation of the expression yields 65.
This type of simplification question often appears in RRB exams to test the order of operations; always prioritize roots and powers before addition or subtraction.