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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If 18 (9) 3 and 36 (30) 5, then what is the value of A in 19 (A) 18?
Answer: B
Correct answer: 57
The number in brackets is the product of the outer two divided by six: \( \tfrac{18\times3}{6} = 9 \) and \( \tfrac{36\times5}{6} = 30 \). So \[ A = \frac{19 \times 18}{6} = \mathbf{57} \]
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5x - 6 = 3x - 8
Solve the above equation.
Answer: B
Correct answer: -1
Bringing the terms together: \( 5x - 3x = -8 + 6 \), so \( 2x = -2 \) and \[ x = \mathbf{-1} \]
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X²+X² =
Answer: C
Here the given expression,
X² + X² is an algebraic expression. Here in this expression the terms are like terms. Now to add them, add their coefficients.
Here in the given expression, the like terms are two X²
Hence, adding their coefficients i.e, 1 + 1 = 2
Therefore,
X² + X² = 2X².
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If "-" means "added to", "+" means "divided by", "÷" means "multiplied by", "x" means "subtracted from", then 13 + 12 x 9 ÷ 3 - 6 = ?
Answer: D
Correct answer: -239/12
Replacing the words by their symbols gives \( 13 \div 12 - 9 \times 3 + 6 \), which is \[ \frac{13}{12} - 27 + 6 = \frac{13}{12} - 21 = \frac{13 - 252}{12} = \mathbf{-\frac{239}{12}} \]
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Select the correct set of symbols which will fit in the given equation?
5 0 3 5 = 20
Answer: B
Correct answer: -, +, x
Putting the signs in as −, + and × gives \[ 5 - 0 + 3 \times 5 = 5 - 0 + 15 = \mathbf{20} \]
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