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Directions: Read the information given and answer the following questions.The letters A, B, C, D, E, F and G not necessarily in that order,…

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Directions: Read the information given and answer the following questions.
The letters A, B, C, D, E, F and G not necessarily in that order, stand for seven consecutive integers from 1 to 10, D is 3 less than A, B is the middle term. F is as much less than B as C is greater than D, G is greater than F.
A is as much greater than F as which integer is less than G?
  • AA
  • BB
  • CC
  • DD
Answer not set

Discussion 1

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CCommunity
Alphabets: A, B, C, D, E, F and G

Numbers: 1 to 10

Condition:

1. They stand for 7 consecutive integers.

2. D is 3 less than A ⇒ A – D = 3 ⇒ A > D

3. B is the middle term.

4. F is as much less than B as C is greater than D ⇒ B – F = C – D ⇒ B > F and C > D

5. G is greater than F ⇒ G > F

Since we don’t know the first number for given consecutive number. So, we’ll arrange the alphabets using given order but wouldn’t assign numbers.

1) B is the middle term.

2) A – D = 3

Possibility 1

Alphabet

D

B

A

Position

1st

2nd

3rd

Middle

5th

6th

7th

Possibility 2

Alphabet

D

B

A

Position

1st

2nd

3rd

Middle

5th

6th

7th

3) B – F = C – D

Possibility 1

Alphabet

D

F

B

A

Position

1st

2nd

3rd

Middle

5th

6th

7th

But no place for C. Hence this possibility is eliminated.

Possibility 2

Alphabet

F

D

B

C

A

Position

1st

2nd

3rd

Middle

5th

6th

7th

4) G > F

Alphabet

E

F

D

B

C

A

G

Position

1st

2nd

3rd

Middle

5th

6th

7th

A – F = G – x

⇒ 6 – 2 = 7 – x

⇒ x = 3rd = D.