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.

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?
1). A
2). B
3). C
4). D

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 = 3^rd = D.

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