Practice Balancing equations problems - verbal reasoning Online Quiz (set-1) For All Competitive Exams

Q-1)   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)

(b)

(c)

(d)

Explanation:

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.


Q-2)   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)

(c)

(d)

Explanation:

8 ÷ 4 x 6 x 5

= $8/4$ x 6 x 5

= 2 x 6 x 5

= 60


Q-3)   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)

(b)

(c)

(d)

Explanation:

From option (b).

24 = 4 x 5 + 4

⇒ 24 = 20 + 4

⇒  24 = 24


Q-4)   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)

(b)

(c)

(d)

Explanation:

$√{100} + √{16} = √{225} - √{1}$

10+ 4 = 15 -1

⇒ 14 = 14


Directions:

What should be the correct signs to balance the following equation?

Q-5)   6 5 4 = 34

(a)

(b)

(c)

(d)

Explanation:

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.


Directions:

What should be the correct signs to balance the following equation?

Q-6)   65 40 11=36

(a)

(b)

(c)

(d)

Explanation:

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.


Directions:

What should be the correct signs to balance the following equation?

Q-7)   17 - 3 x 6 = 45

(a)

(b)

(c)

(d)

Explanation:

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.


Directions:

What should be the correct signs to balance the following equation?

Q-8)   3 + 2 × 1=7

(a)

(b)

(c)

(d)

Explanation:

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.


Directions:

What should be the correct signs to balance the following equation?

Q-9)   7 4 8 2 = 24

(a)

(b)

(c)

(d)

Explanation:

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).


Q-10)   Select the correct combination of mathematical signs to replace * signs and to balance the following equation

8 * 8 * 1 *  7 = 8

(a)

(b)

(c)

(d)

Explanation:

From option (c),

8 * 8 * 1 * 7 = 8

⇒  8 ÷ 8 x 1+7=8

⇒ 8= 8