# Practice Mathematical operations problems - verbal reasoning Online Quiz (set-1) For All Competitive Exams

#### Q-1) If '-‘ denotes addition, ‘+' denotes subtraction, ‘×' denotes division and ÷ denotes multiplication, then 7 -10 × 5 ÷ 6 + 4 =?

(a)

(b)

(c)

(d)

**Explanation:**

According to the question,

? = 7 - 10 × 5 ÷ 6 + 4

from the question by changing the symbols, we get

= 7 + 10 ÷ 5 × 6 - 4 (using VBODMAS rule)

=7 + 2 × 6 - 4

= (7 + 12) - 4

= 15

#### Q-2) If A means '×' B means ‘÷' C means '-' and D means ‘+', then 4 D 16 A 5 B 8 C 5 = ?

(a)

(b)

(c)

(d)

(e)

**Explanation:**

According to the question,

? = 4 D 16 A 5 B 8 C 5

from the question by changing the symbols, we get

= 4 + 16 × 5 ÷ 8 - 5 (using VBODMAS rule)

= 4 + 16 × 0.625 - 5

= 4 + 10 - 5

= 14 - 5 = 9

#### Q-3) If A means ‘-', B means '÷', C means ‘+' and D means '×', then 15 B 3 C 24 A 12 D 2 = ?

(a)

(b)

(c)

(d)

(e)

**Explanation:**

According to the question,

? = 15 B 3 C 24 A 12 D 2

from the question by changing the symbols, we get

= 15 ÷ 3 +24 - 12 × 2 (using VBODMAS rule)

= 5 + 24 -12 × 2

= 5+ 24 - 24 = 5

#### Q-4) If A = '+', B = ‘-‘, C = '×' and D = '÷', then 5 C 5 D 5 A 5 B 5 = ?

(a)

(b)

(c)

(d)

**Explanation:**

According to the question,

? = 5 C 5 D 5 A 5 B 5

from the question by changing the symbols, we get

= 5 × 5 ÷ 5 + 5 - 5 (using VBODMAS rule)

= 5 × 1 + 5 - 5

= 10 - 5 = 5

#### Q-5) If '×' stands for '+', ÷ stands for '-', '-' stands for '×' and '+' stands for '÷', then find the value of following equation. 54 ÷ 16 - 3 × 6 + 2 = ?

(a)

(b)

(c)

(d)

**Explanation:**

According to the question,

? = 54 ÷ 16 - 3 × 6 + 2

from the question by changing the symbols, we get

= 54 - 16 × 3 + 6 ÷ 2 (using VBODMAS rule)

= 54 - 16 × 3 + 3

= 54 - 48 + 3

= 6 + 3 = 9

#### Q-6) A means ‘+', B means '-' C means ‘×' and D means ÷, then 18 C 14 A 6 B 16 D 4 =?

(a)

(b)

(c)

(d)

(e)

**Explanation:**

According to the question,

? = 18 C 14 A 6 B 16 D 4

from the question by changing the symbols, we get

= 18 × 14 + 6 - 16 ÷ 4 (using VBODMAS rule)

= 18 × 14 + 6 - 4

= 252 + 6 - 4

= 258 - 4 = 254

#### Q-7) If ‘T' means (×), 'U' means (-), 'X' means (÷) and W means (+), then what will be the value of the following expression. (50 X 2) W (28 T 4)

(a)

(b)

(c)

(d)

**Explanation:**

Given expression, (50 × 2) W (28 T 4)

After interchanging the letters with symbols, we get

(50 ÷ 2) + (28 × 4) = 25 + 112 (using VBODMAS rule)

= 137

#### Q-8) If P means 'division', T means 'addition', M means ‘subtraction' and D means 'multiplication', then what will be the value of the expression

12 M 12 D 28 P 7 T 15?

(a)

(b)

(c)

(d)

(e)

**Explanation:**

Using the correct symbols,

we have: Given expression

= 12 - 12 x 28 ÷ 7 + 15

= 12 - 12 x 4 + 15

= 12 - 48 + 15

= 27 - 48 = -21.

#### Q-9) If '+' means 'minus', ‘-‘, means 'multiply’, ‘÷’ means ‘plus’ and '×' means 'divide', then 10 × 5 ÷ 3 - 2 + 3 = ?

(a)

(b)

(c)

(d)

**Explanation:**

According to the question,

? = 10 × 5 ÷ 3 -2 + 3

from the question by changing the symbols, we get

= 10 ÷ 5 + 3 × 2 - 3 (using VBODMAS rule)

= 2 + 3 × 2 - 3

= 2 + 6 - 3

= 8 - 3 = 5

#### Q-10) If ‘<’ means 'minus', ‘>' means ‘plus', '=’ means 'multiplied by' and '#' means 'divided by’, then what would be the value of 27 > 81 # 9 <6?

(a)

(b)

(c)

(d)

(e)

**Explanation:**

Using the correct symbols,

we have: Given expression as

= 27+ 81 ÷ 9 – 6

= 27 + 9 - 6

= 36 - 6 = 30.

#### Q-11) If '@' means ‘x', 'c' means ‘+’, % means (+) and '#' means '-‘, then 6 % 12 C 3 @ 8 # 3 = ?

(a)

(b)

(c)

(d)

(e)

**Explanation:**

According to the question,

6 % 12 © 3 @ 8 # 3 = ?

from the question by changing the alphabets, we get

⇒ 6 + 12 ÷ 3 x 8 - 3 = ? (using VBODMAS rule)

⇒ 6 + 4 x 8 - 3 = ?

⇒ 6 + 32 - 3 = ?

⇒ 38 - 3 = ?

Therefore ? = 35

#### Q-12) If & means +, # means -, @ means x and * means ÷, then what is the value of 16 & 4 @ 5 # 72 * 8 ?

(a)

(b)

(c)

(d)

(e)

**Explanation:**

Using the correct symbols,

we have: Given expression

= 16 + 4 x 5 - 72 ÷ 8

= 16+ 20 - 9

= 36 –9 = 27.

#### Q-13) 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-14) 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-15) 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

#### Q-16) 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

#### Q-17) Which sequence of mathematical symbols can replace * in the given equation to balance the equation?

7 * 7 * 2 * 1= 12

(a)

(b)

(c)

(d)

**Explanation:**

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.

#### Q-18) Select the correct combination of mathematical signs to replace* signs and to balance the given equation.

16 * 6 * 4 * 24

(a)

(b)

(c)

(d)

**Explanation:**

Since, 16 x 6 ÷ 4 = 24

⇒ $96/4$ = 24

⇒ 24 = 24

#### Q-19) Select the correct combination of mathematical signs to replace * signs and to balance the given equation.

8 * 6 * 96 * 2 = 0

(a)

(b)

(c)

(d)

**Explanation:**

Since, 8 * 6 * 96 * 2 = 0

⇒ 8 x 6 - 96 ÷ 2 = 0

⇒ 48 - 48 = 0

##### Directions:

In each of the following Questions, some symbols are represented by letters as shown below:

+ B – G x E ÷ C = D > A < F

Now, identify the correct expression in each case.

#### Q-20) Follow the above direction and find the correct expression among the options?

(a)

(b)

(c)

(d)

**Explanation:**

Using the proper notations in (d),

we get the statement as:

15 ÷ 5 < 8 ÷ 4+6 ÷ 3

or 3 < 2 + 2

or 3 < 4,

which is true.