Can you Solve 7 + 7 ÷ 7 + 7 x 7 + 7 − 7 ÷ 7 + 7 x 7
Answer: A
Correct answer: 112
Doing the divisions and multiplications first turns the expression into \( 7 + 1 + 49 + 7 - 1 + 49 \), which adds up to \[ \mathbf{112} \]
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The following equation is incorrect. Which two signs should be interchanged to correct the equation?
10 x 4 + 5 - 30 ÷ 6 = 31
Answer: A
Correct answer: x and -
Exchanging × and − gives \( 10 - 4 + 5 \times 30 \div 6 \), which works out as \[ 10 - 4 + 25 = \mathbf{31} \]
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3 x 3 + 3 - 3 + 3 = ?
Answer: B
Correct answer: 12
Multiplication comes first, so the expression is \( 9 + 3 - 3 + 3 \), which is \[ \mathbf{12} \]
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If 19 (36) 13 and 37 (81) 28, then what is the value of 'A' in 43 (A) 38?
Answer: C
Correct answer: 25
The number in brackets is the square of the difference of the outer two: \( (19-13)^2 = 36 \) and \( (37-28)^2 = 81 \). So \[ A = (43-38)^2 = \mathbf{25} \]
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If (3)² @ 1 * 7 = 98 and (4)² @ 2 * 16 = 178, then (5)² @ 3 * 9 = ?
Answer: B
Correct answer: 262
The two operators are not arithmetic in the usual sense. Square the bracketed number, then \( @ \) writes the next number immediately after it (digits joined, not added), and \( * \) adds the final number.
Checking both worked examples: \( (3)^2 = 9 \), joined with 1 gives 91, and \( 91 + 7 = 98 \). \( (4)^2 = 16 \), joined with 2 gives 162, and \( 162 + 16 = 178 \).
So \( (5)^2 = 25 \), joined with 3 gives 253, and \[ 253 + 9 = \mathbf{262} \] The option 253 is the value before the last addition, offered as a distractor.
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If "+" means "minus", "x" means "divided by", "÷" means "plus" and "-" means "multiplied by", then 81 x 9 + 10 - 6 ÷ 5 = ?
Answer: B
Correct answer: -46
Replacing the symbols gives \( 81 \div 9 - 10 \times 6 + 5 \), and by the usual order \[ 9 - 60 + 5 = \mathbf{-46} \]
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If ‘+’ means ‘÷’, ‘-‘ means ‘×’, ‘×’ means ‘+‘, ‘÷’ means ‘- ‘, given the value of 45 + 9 - 3 × 15 ÷ 2.
Answer: D
Correct answer: 28
Substituting gives \[ 45 \div 9 \times 3 + 15 - 2. \] Division and multiplication first, left to right: \( 45\div9 = 5 \), \( 5\times3 = 15 \). Then \( 15 + 15 - 2 = 28 \).
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If, 4x3=14; 5x4=18; 6x5=22; Then find the value of 7x6=?
Answer: B
Correct answer: 26
Each answer is twice the sum of the two numbers: \( 2(4+3) = 14 \), \( 2(5+4) = 18 \), \( 2(6+5) = 22 \). So \[ 2(7+6) = \mathbf{26} \]
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What is 7 + 7 ÷ 7 + 7 × 7 − 7 =
Answer: B
Correct answer: 50
By the usual order, division and multiplication come before addition and subtraction: \[ 7 + 1 + 49 - 7 = \mathbf{50} \]
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If the given interchanges namely: signs + and ÷ and numbers 2 and 4 are made, which one of the following four equations would be correct?
Answer: D
Correct answer: 2 + 4 ÷ 6 = 8
Making both interchanges in this equation turns the plus into a divide and the divide into a plus, and swaps the 2 and the 4, giving \[ 4 \div 2 + 6 = 2 + 6 = 8, \] which is correct. In each of the other three the same two interchanges leave a left side that does not match the number on the right.
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