balancing the equations Practice Questions Answers Test with Solutions & More Shortcuts
Question : 11 [RRB (CGL) 2012]
Which sequence of mathematical symbols can replace * in the given equation to balance the equation?
7 * 7 * 2 * 1= 12
a) x - ÷
b) + - x
c) x - +
d) + x -
Answer »Answer: (b)
Given, 7 * 7 * 2 * 1 = 12
Let us check all the options one by one.
From option (a),
putting the signs in given equation, we get
7 x 7 - 2 ÷ 1 = 12
⇒ 7 x 7 -2 = 12
⇒ 49 - 2 = 12
⇒ 47 = 12
⇒ LHS ≠ RHS
So, option (a) is incorrect.
From option (b),
putting the signs in given equation, we get
7 + 7 - 2 x 1 = 12
⇒ 7 + 7 -2 = 12
⇒ 14 -2 = 12
⇒ 12 = 12
Hence, option (b) is correct and there is no need to check remaining options.
Question : 12 [S.S.C (Constable) 2012]
Given, B = 8, L = 7, O = 5, C =9 and K =4. Using the given total, find out the missing symbol in the block.
L ? K K K = 24
a) L
b) O
c) B
d) K
Answer »Answer: (b)
L ? K K K = 24
According to the question,
7 + ? + 4 + 4 + 4 = 24
⇒ ? = 24 - 19= 5=0
Hence, O is the missing symbol in the given.
Question : 13 [SSC (CGL) 2012]
In the following question, * stands for any of the mathematical signs at different places, which are given as choices under each question. Select the choice with the correct sequence of signs which when substituted makes the question as a correct equation.
24 * 4 * 5 * 4
a) x + =
b) = x +
c) + x =
d) = + x
Answer »Answer: (b)
From option (b).
24 = 4 x 5 + 4
⇒ 24 = 20 + 4
⇒ 24 = 24
Question : 14 [SSC (FCI) 2012]
Select the correct combination of mathematical signs to replace* signs and to balance the given equation.
16 * 6 * 4 * 24
a) ÷ = x
b) x = ÷
c) = ÷ ÷
d) x ÷ =
Answer »Answer: (d)
Since, 16 x 6 ÷ 4 = 24
⇒ $96/4$ = 24
⇒ 24 = 24
Question : 15 [SSC (Constable) 2013]
Select the correct combination of mathematical signs to replace* signs and to balance the given equation.
9* 3 * 3 * 3 * 6
a) ÷ x - =
b) + - x =
c) - + + =
d) x + - =
Answer »Answer: (a)
Since, 9 ÷ 3 x 3 - 3 = 6
⇒ 3 x 3 - 3 = 6
⇒ 9 - 3 = 6
⇒ 6 = 6
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