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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If "+" means "minus", "x" means "divided by", "÷" means "plus" and "-" means "multiplied by", then 38 x 2 - 6 + 19 ÷ 35 = ?
Answer: A
Correct answer: 130
Replacing the symbols gives \( 38 \div 2 \times 6 - 19 + 35 \), and by the usual order \[ 114 - 19 + 35 = \mathbf{130} \]
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The solution of 3(2u + v) = 7 uv and 3(u + 3v) = 11 uv is _____
Answer: B
Correct answer: u = 1, v = 3/2
Putting \( u = 1 \) and \( v = \tfrac32 \) into the first equation gives \( 3(2 + \tfrac32) = 10.5 \) and \( 7uv = 7 \times \tfrac32 = 10.5 \); into the second, \( 3(1 + \tfrac92) = 16.5 \) and \( 11uv = 11 \times \tfrac32 = 16.5 \). Both hold, so that is the solution.
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