Given interchanges :
Signs + and - , numbers 4 and 8.
Answer: B
Correct answer: 4 - 8 + 12 = 0
Making both swaps - the signs + and −, and the numbers 4 and 8 - turns this into \( 8 + 4 - 12 \), which is \( \mathbf{0} \). None of the other equations balances after the same two exchanges.
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If Q means 'add to', J means 'multiply by', T means 'substract from' and K means 'divide by' then 30 K 2 Q 3 J 6 T 5 = ?
Answer: B
Correct answer: 28
Reading Q as +, J as ×, T as − and K as ÷ gives \( 30 \div 2 + 3 \times 6 - 5 \), and by the usual order \[ 15 + 18 - 5 = \mathbf{28} \]
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The following equation is incorrect. Which two signs should be interchanged to correct the equation? 15 x 12 + 40 ÷ 40 - 6 = 21
Answer: A
Correct answer: + and x
Exchanging + and × gives \( 15 + 12 \times 40 \div 40 - 6 \), which works out as \[ 15 + 12 - 6 = \mathbf{21} \]
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In the following question, correct the equation by interchanging two signs.
6 + 8 ÷ 4 - 4 = 8
Answer: D
Correct answer: + and -
Exchanging + and − gives \( 6 - 8 \div 4 + 4 \), which works out as \[ 6 - 2 + 4 = \mathbf{8} \]
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5068 / 37 x 4 = ?
Answer: A
Correct answer: 548
Dividing first, \( 5068 \div 37 = 137 \), and then \[ 137 \times 4 = \mathbf{548} \]
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If × stands for 'addition', ÷ stands for 'subtraction', + stands for 'multiplication' and-stands for 'division', then 20 × 8 ÷ 8 - 4 + 2 = ?
Answer: C
Correct answer: 24
Replacing each symbol by what it stands for gives \( 20 + 8 - 8 \div 4 \times 2 \). Division and multiplication first: \[ 20 + 8 - 4 = \mathbf{24} \]
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In a group of buffaloes and ducks the number of legs are 24 more than twice the number of heads. What is the number of buffaloes in the group ?
Answer: C
Let the number of buffaloes be x
and number of ducks be y.
Now, number of heads = x+y
Number of legs = 4x+2y .......(1)
But given that legs = 2(x+y)+24 ......(2)
solving (1) & (2),we get
4x+2y=2x+2y+24
--> x=12.
Therefore number of buffaloes =12
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If 4 x 9 x 3 = 4 and 5 x 3 x 1 = 3, then
9 x 9 x 7 = ?
Answer: A
Correct answer: 5
In each case the three numbers are added and the square root taken: \( \sqrt{4+9+3} = \sqrt{16} = 4 \) and \( \sqrt{5+3+1} = \sqrt{9} = 3 \). So \[ \sqrt{9+9+7} = \sqrt{25} = \mathbf{5} \]
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Find out the two signs to be interchanged for making following equation correct
5 + 3 x 8 - 12 / 4 =3
Answer: B
Correct answer: - and /
Exchanging − and ÷ turns the equation into \( 5 + 3 \times 8 \div 12 - 4 \). Working by the usual order, \[ 5 + \frac{24}{12} - 4 = 5 + 2 - 4 = \mathbf{3} \]
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In the following question, correct the given equation by interchanging two numbers.
8 x 3 ÷ 4 + 9 - 5 = 16
Answer: C
Correct answer: 5 and 3
Exchanging the numbers 5 and 3 gives \( 8 \times 5 \div 4 + 9 - 3 \), which works out as \[ 10 + 9 - 3 = \mathbf{16} \]
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