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The symbol [m]\triangle[/m] denotes one of the four arithmetic operati  [#permalink]

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Question Stats: 72% (00:59) correct 28% (01:27) wrong based on 96 sessions

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The symbol $$\triangle$$ denotes one of the four arithmetic operations : addition, subtraction ,multiplication,or division.If 6$$\triangle$$3$$\leq{3}$$ ,which of the following must be true ?

I. 2$$\triangle$$2=0
II. 2$$\triangle$$2=1
III. 4$$\triangle$$2=2

A. I only
B. II only
C. III only
D. I and II only
E. I, II, and III

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Re: The symbol [m]\triangle[/m] denotes one of the four arithmetic operati  [#permalink]

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1
AbdurRakib wrote:
The symbol $$\triangle$$ denotes one of the four arithmetic operations : addition, subtraction ,multiplication,or division.If 6$$\triangle$$3$$\leq{3}$$ ,which of the following must be true ?

I. 2$$\triangle$$2=0
II. 2$$\triangle$$2=1
III. 4$$\triangle$$2=2

A. I only
B. II only
C. III only
D. I and II only
E. I, II, and III

6$$\triangle$$3$$\leq{3}$$

$$\frac{6}{3} = 3$$

$$6 - 3 = 3$$

$$\triangle$$ has to be division and subtraction both.

Checking the options, we get;

I. 2$$\triangle$$2=0

$$2 - 2 = 0.$$

$$\frac{2}{2}$$ = 1 ---------- (Must Not be true)

II. 2$$\triangle$$2=1

$$\frac{2}{2}$$ = 1.

$$2-2 = 0$$ ---------- (Must Not be true)

III. 4$$\triangle$$2=2

$$4-2 = 2.$$

$$\frac{4}{2}$$ = 2 -----------(Must be true)

Only III must be true. Answer (C).
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Re: The symbol [m]\triangle[/m] denotes one of the four arithmetic operati  [#permalink]

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sashiim20 wrote:
AbdurRakib wrote:
The symbol $$\triangle$$ denotes one of the four arithmetic operations : addition, subtraction ,multiplication,or division.If 6$$\triangle$$3$$\leq{3}$$ ,which of the following must be true ?

I. 2$$\triangle$$2=0
II. 2$$\triangle$$2=1
III. 4$$\triangle$$2=2

A. I only
B. II only
C. III only
D. I and II only
E. I, II, and III

6$$\triangle$$3$$\leq{3}$$

$$\frac{6}{3} = 3$$

$$6 - 3 = 3$$

$$\triangle$$ has to be division and subtraction both.

Checking the options, we get;

I. 2$$\triangle$$2=0

$$2 - 2 = 0.$$

$$\frac{2}{2}$$ = 1 ---------- (Must Not be true)

II. 2$$\triangle$$2=1

$$\frac{2}{2}$$ = 1.

$$2-2 = 0$$ ---------- (Must Not be true)

III. 4$$\triangle$$2=2

$$4-2 = 2.$$

$$\frac{4}{2}$$ = 2 -----------(Must be true)

Only III must be true. Answer (C).

Hi sashiim20

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The symbol [m]\triangle[/m] denotes one of the four arithmetic operati  [#permalink]

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Since the symbol $$\triangle$$ is one of the four primary arithmetic operations - addition, subtraction, multiplication, or division

6$$\triangle$$3 could mean one of the four things
1. 6 + 3 = 9
2. 6 - 3 = 3
3. 6 * 3 = 18
4. 6 / 3 = 2

Of these options only 2. subtraction and 4. division can be the arithmetic operation as they satisfy the condition 6$$\triangle$$3$$\leq{3}$$

Of the three options, we need to examine
I. 2$$\triangle$$2=0 is true for subtraction but not for division
II. 2$$\triangle$$2=1 is true for division but not for subtraction
III. 4$$\triangle$$2=2 is possible for both subtraction and division.

Therefore, Option C(III only) is the only option which must be true for both the arithmetic operations.
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You've got what it takes, but it will take everything you've got The symbol [m]\triangle[/m] denotes one of the four arithmetic operati   [#permalink] 09 Mar 2018, 12:30
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