balancing the equations Practice Questions Answers Test with Solutions & More Shortcuts
Question : 1 [S.S.C (Steno) 2013]
Which of the following sets of operation with the usual notations replacing the stars in the order given makes the statements valid?
$√{100} * √{16} * √{225} * √{1}$
a) x, =, +
b) +, =, -
c) +, =, x
d) -, x, =
Answer »Answer: (b)
$√{100} + √{16} = √{225} - √{1}$
10+ 4 = 15 -1
⇒ 14 = 14
Question : 2 [S.S.C (Multitasking) 2014]
Select the correct combination of mathematical signs to replace * signs and to balance the following equation
8 * 8 * 1 * 7 = 8
a) x ÷ +
b) + ÷ x
c) ÷ x +
d) + x ÷
Answer »Answer: (c)
From option (c),
8 * 8 * 1 * 7 = 8
⇒ 8 ÷ 8 x 1+7=8
⇒ 8= 8
Question : 3 [S.S.C (10+2) 2013]
Select the correct combination of mathematical signs to replace ‘*’ signs and to balance the given equation.
24 * 34 * 2 * 5 * 12
a) + ÷ x =
b) = ÷ + -
c) = ÷ - +
d) + ÷ = x
Answer »Answer: (c)
From option (c).
24 = 34 ÷ 2 - 5+ 12
⇒ 24 = 17 - 5+12
⇒ 24 = 29 -5
⇒ 24 = 24
Question : 4 [S.S.C (CPO) 2013]
Select the correct combination of mathematical signs to replace the * signs and to balance the given equation
40 * 2 * 4 * 3 * 8
a) + - ÷=
b) ÷ + = x
c) + ÷ x =
d) + x - =
Answer »Answer: (b)
Given, 40* 2* 4 * 3 * 8
Let us check all the options one by one.
From option (a), putting the signs in given equation, we get
40 + 2 - 4 ÷ 3 = 8
⇒ 42 - $4/3$ = 8
⇒ 126 - 4 = 24
⇒ 122 = 24
∴ LHS ≠ RHS
So, option (a) is incorrect.
From option (b), putting the signs in given equation, we get
40 ÷ 2 + 4 = 3 x 8
⇒ 20 + 4 = 24
⇒ 24 = 24
LHS = RHS
Hence, option (b) is correct and there is no need to check remaining options.
Directions:
What should be the correct signs to balance the following equation?
Question : 5
17 - 3 x 6 = 45
a) x,-and =
b) =, x and –
c) -, x and =
d) x, = and -
Answer »Answer: (a)
From option (a),
17 - 3 x 6 = 45
By interchanging the signs, from the options. We get,
⇒ 17 x 3 - 6 = 45 (using VBODMAS rule)
⇒ 51- 6 = 45
⇒ 45 = 45
LHS = RHS
∴ So, option (a) is correct.
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