balancing the equations Practice Questions Answers Test with Solutions & More Shortcuts
Directions:
What should be the correct signs to balance the following equation?
Question : 6 [S.S.C(CPO) 2008]
3 + 2 × 1=7
a) x, + and =
b) +, x and =
c) =, x and +
d) x, = and +
Answer »Answer: (a)
Let us check all the options one-by-one.
From option (a).
3+2 x 1 = 7
By interchanging the signs, from the options. We get,
⇒ 3 x 2 + 1=7 (using VBODMAS rule)
⇒ 6 + 1 =7 ⇒ 7 = 7
∴ LHS = RHS
As an option (a) gives us a correct answer, there is no need to check the remaining options.
Question : 7 [SSC (10+2) 2009]
6 5 4 = 34
a) - and +
b) x and +
c) ÷ and x
d) x and +
Answer »Answer: (b)
Let us check all the options one by one.
From option (a),
6 -5 + 4 = 34 (using VBODMAS rule)
⇒ 10 - 5 = 34 ⇒ 5= 34
∴ LHS ≠ RHS
So, option (a) is incorrect.
From option (b),
6 x 5+ 4 = 34 (using VBODMAS rule)
⇒ 30+ 4 = 34 ⇒ 34 = 34
⇒ LHS = RHS
So, option (b) gives us the correct answer and hence, there is no need to check remaining options.
Question : 8 [S.S.C (10+2) 2008]
7 4 8 2 = 24
a) -, x and x
b) -, x and ÷
c) x, - and ÷
d) -, ÷ and x
Answer »Answer: (c)
Let us check all the options one-by-one.
From option (a),
7- 4 x 8 x 2 = 24 (using VBODMAS rule)
⇒ 7 - 64 = 24
⇒ - 57 = 24
∴ LHS ≠ RHS
So, option (a) is incorrect.
From option (b),
7-4 x 8 ÷2 = 24 (using VBODMAS rule)
⇒ 7- 4 x 4 = 24 ⇒ 7 - 16 =24
⇒ -9 = 24
⇒ LHS ≠ RHS
So, option (b) is incorrect.
From option (c),
7 x 4 - 8 ÷ 2=24 (using VBODMAS rule)
⇒ 7 x 4- 4 = 24
⇒ 28 - 4 = 24
⇒ 24 = 24
⇒ LHS =RHS
So, option (c) is correct and hence, there is no need to check option (d).
Question : 9
65 40 11=36
a) - and +
b) x and ÷
c) ÷ and +
d) + and x
Answer »Answer: (a)
Let us check all the options one by one.
From option (a),
65 - 40 + 11 = 36
⇒ 76 - 40 = 36
⇒ 36 = 36
⇒ LHS = RHS
So, option (a) is correct and hence there is no need to check remaining options.
Question : 10 [S.S.C (Steno) 2013]
Place appropriate mathematical operations in the shaded boxes to get the answer. All calculations are to be performed from left to right.
8_4_6_5 = 60
a) -, ÷, +
b) x , ÷, x
c) x , ÷, -
d) ÷, x, x
Answer »Answer: (d)
8 ÷ 4 x 6 x 5
= $8/4$ x 6 x 5
= 2 x 6 x 5
= 60
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