symbol substitution Practice Questions Answers Test with Solutions & More Shortcuts

mathematical operations PRACTICE TEST [2 - EXERCISES]

symbol substitution

balancing the equations

Directions:

If > denotes +, < denotes -, + denotes ÷, ^ denotes ×, - denotes =, × denotes > and = denotes < , choose the correct statement in each of the following questions.

[B.T.M. 2005]

Question : 26

Convert the signs according to the given direction and find the result of the expression?

a) 6 + 3 > 8 = 4 + 2 < 1

b) 4 > 6 + 2 x 32 + 4 < 1

c) 8 < 4 + 2 = 6 > 3

d) 14 + 7 > 3 = 6 + 3 > 2

Answer: (c)

Using the proper notations in (c),

we get the statement as:

8 - 4 ÷ 2 < 6 + 3 or 6 < 9,

which is true.

Question : 27

Convert the signs according to the given direction and find the result of the expression?

a) 14 > 18 + 9 =16 +4 < 1

b) 4 >3 ^ 8 < 1 – 6 + 2 > 24

c) 3 < 6 ^ 4 > 25 = 8 + 4> 1

d) 12 > 9 + 3 < 6 x 25 + 5 > 6

Answer: (b)

Using the proper notations in (b),

we get the statement as:

4 + 3 x 8 - 1 = 6 ÷ 2 + 24

27 = 27,

which is true.

Question : 28

Convert the signs according to the given direction and find the result of the expression?

a) 13 >7 < 6 + 2 = 3 ^ 4

b) 9 > 5 > 4 - 18 + 9 > 16

c) 9 < 3 < 2 > 1 x 8 ^ 2 A

d) 28 + 4 ^ 2 = 6 ^ 4+ 2

Answer: (b)

Using the proper notations in (b),

we get the statement as:

9 + 5 + 4 = 18 ÷ 9 + 16

18 = 18,

which is true.

Question : 29

Convert the signs according to the given direction and find the result of the expression?

a) 29 < 18 + 6 = 36 + 6 ^ 4

b) 18 > 12 + 4 x 7 > 8 ^ 2

c) 32 > 6 + 2 = 6 < 7 ^ 2

d) 31 > 1 < 2 = 4 > 6 ^ 7

Answer: (d)

Using the proper notations in (d),

we get the statement as:

31 + 1 - 2 < 4 + 6 x 7

or 30 < 46,

which is true.

Question : 30

Convert the signs according to the given direction and find the result of the expression?

a) 7 > 7< 7 + 7 = 14

b) 7 ^ 7 > 7 + 7 = 7 ^ 7 > 1

c) 7 < 7 + 7 = 6

d) 7 + 7 > 7 = 8

Answer: (a)

Using the proper notations in (a),

we get the statement as:

7 + 7 – 7 ÷ 7 < 14

or 13 < 14,

which is true.

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