balancing the equations Practice Questions Answers Test with Solutions & More Shortcuts

mathematical operations PRACTICE TEST [2 - EXERCISES]

symbol substitution

balancing the equations

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: (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: (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: (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: (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: (d)

8 ÷ 4 x 6 x 5

= $8/4$ x 6 x 5

= 2 x 6 x 5

= 60

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