symbol substitution Practice Questions Answers Test with Solutions & More Shortcuts

mathematical operations PRACTICE TEST [2 - EXERCISES]

symbol substitution

balancing the equations

Question : 36 [S.S.C. 2002]

If ‘÷' stands for ‘greater than', ‘x’ stands for 'addition', ‘+’ stands for ‘division', ‘-’ stands for 'equal to', ‘>' stands for 'multiplication', ‘=’ stands for 'less than' and ‘<’ stands for 'minus', then which of the following alternatives is correct?

a) 5 > 2 <1- 3 x 4 x 1

b) 5 < 2 x 1 +3 > 4 x 1

c) 5 > 2 x 1- 3 > 4 <1

d) 5 + 2 x 1 = 3 + 4 > 1

Answer: (c)

Using the proper notations in (c),

we get the statement as:

5 x 2 + 1 = 3 × 4 - 1

or 10 + 1 = 12 - 1

or 11 = 11,

which is true.

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.

[S.S.C. 2002]

Question : 37

Follow the above direction and find the correct expression among the options?

a) 18 C 3 D 6 B 8 C 4 G 12

b) 18 A 3 E 6 B 8 G 4 B 12

c) 18 C 3 G 6 B 8 B 4 D 12

d) 18 F 3 B 6 E 8 G 4 E 12

Answer: (c)

Using the proper notations in (c),

we get the statement as:

18 ÷ 3 - 6 + 8 + 4 = 12

or 6 - 6 + 8 + 4 = 12

or 12 = 12,

which is true.

Question : 38

Follow the above direction and find the correct expression among the options?

a) 15 B 5 G 8 B 4 G 6 F 3

b) 15 C 15 B 8 F 4 B 6 C 3

c) 15 A 5 E 8 C 4 B 6 E 3 

d) 15 C 5 F 8 C 4 B 6 C 3

Answer: (d)

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.

IMPORTANT verbal reasoning EXERCISES

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