symbol substitution Practice Questions Answers Test with Solutions & More Shortcuts

mathematical operations PRACTICE TEST [2 - EXERCISES]

symbol substitution

balancing the equations



Question : 16

If ‘-’ stands for division, '+' for multiplication, '÷' for subtraction and ‘x' for addition, then which one of the following equations is correct?

a) 19 + 5 - 4 x 2 ÷ 4 =11

b) 19 x 5 – 4 ÷ 2 + 4 =16

c) 19 ÷ 5 + 4 – 2 x 4 = 13

d) 19 ÷ 5 + 4 -2 ÷ 4= 20

Answer: (c)

- ⇒ ÷,  + ⇒ x, ÷ ⇒ x, - ⇒ +,

From option (a), 19 + 5 - 4 x 2 ÷ 4 = 11

⇒ 19 x 5 ÷ 4 + 2 - 4 = 11

⇒ 95/4 + 2 - 4  ≠ 11

From option (b),

19 x 5 - 4 ÷ 2 + 4 = 16

⇒ 19 + 5 ÷ 4 - 2 x 4 = 16

⇒ 19 + 5/4 - 8  ≠ 16

From option (c),

19 ÷ 5 + 4 - 2 x 4 = 13

⇒ 19 - 5 x 4 ÷ 2 + 4 = 13

⇒ 19 - 5 x 2 + 4 = 13

⇒ 19 - 10 + 4 = 13

Therefore 13 = 13

As,we got our answer, there is no need to check option (d).

Question : 17 [SSC (CGL) 2011]

If '-' stands for '÷' ‘+’ stands for ‘x', '÷' for ‘-‘ for ‘x' for '+', which one of the following equations in correct?

a) 30 – 6 + 5 x 4 ÷2 = 27

b) 30 + 6 -5 ÷ 4 x 2= 30

c) 30 x 6 ÷ 5 – 4 + 2 = 32

d) 30 ÷6 x 5+ 4 -2 = 40

Answer: (a)

- ⇒ ÷,  + ⇒ x, ÷ ⇒ x, - ⇒ +,

From option (a),

30 - 6 + 5  x 4 ÷ 2 = 27

⇒ 30  ÷ 6 x 5 + 4 - 2 = 27

⇒ 5 x 5 + 4 - 2 = 27

⇒ 25 + 4 - 2 = 27

Therefore 27 = 27

Question : 18

If '×' means subtraction, '+' means multiplication and '-' means addition, then find the value of following equation. 12 + (3 × 1) + 4 - 1 = ?

a) 98

b) 75

c) 85

d) 97

Answer: (d)

According to the question,

? = 12 + (3 × 1) + 4 - 1

from the question by changing the symbols, we get

= 12 × (3 - 1) × 4 + 1 (using VBODMAS rule)

= 12 × 2 × 4 + 1

= 96 + 1 = 97

Question : 19

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

a) 0

b) 5

c) 10

d) 15

Answer: (b)

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

Question : 20

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

a) 9

b) 12

c) 8

d) 15

Answer: (a)

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

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