symbol substitution Practice Questions Answers Test with Solutions & More Shortcuts

mathematical operations PRACTICE TEST [2 - EXERCISES]

symbol substitution

balancing the equations

Question : 31

If x means +, + means ÷, – means x and ÷ means -, then 8 x 7 – 8 + 40 ÷ 2 =?

a) 1

b) 7$2/5$

c) 8$3/5$

d) 44

Answer: (b)

Using the correct symbols,

we have: Given expression

= 8 + 7 x 8 ÷ 40 - 2

= 8 + 7 x $1/8$ - 2

= 6 + = 6 + $1/5$

= $ 37/5$ = 7$2/5$

Question : 32 [I.B.P.S. 2002]

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) -30

b) -15

c) 15

d) 45

e) None of these

Answer: (e)

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.

Question : 33 [Bank P.O. 2003]

If ‘when' means ‘x', 'you' means ‘÷', 'come' means ‘-’and 'will' means ‘+’, then what will be the value of "8 when 12 will 16 you 2 come 10"?

a) 45

b) 94

c) 96

d) 112

e) None of these

Answer: (b)

Using the correct symbols,

we have: Given expression

 = 8 x 12 + 16 ÷ 2 - 10

= 96 + 8 - 10

= 104 - 10 = 94.

Question : 34 [C.P.O. 2005]

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

a) 18 ÷6 x 7 + 5 - 2 = 22

b) 18 x 6 + 7 ÷ 5 - 2 = 16

c) 18 ÷6 -7 + 5 x 2 = 20

d) 18 + 6  ÷ 7 x 5 - 2 = 18

Answer: (d)

Using the proper notations in (d),

we get the statement as:

18 ÷ 6 x 7 - 5 + 2

= 3 x 7-5 + 2

= 21 - 5 + 2 = 18.

Question : 35 [S.S.C 2003]

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

a) 3 x 4 > 2 -9 + 3 < 3

b) 5 x 3 < 7 ÷ 8+ 4 x 1

c) 5 > 2 + 2 = 10 < 4 x 8

d) 3x 2 < 4 ÷ 16 > 2 + 4

Answer: (c)

Using the proper notations in (c),

we get the statement as:

5 x 2 ÷ 2 < 10 - 4 + 8

or 5 x 1< 18 - 4

or 5 < 14,

which is true.

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