Six swimmers A, B, C, D, E,
F compete in a race. The outcome is as follows.

i. B does not win.

ii. Only two swimmers separate E & D

iii. A is behind D & E

iv. B is ahead of E , with one swimmer intervening

v. F is a head of D

1. Who stood fifth in the race ?

(a) A

(b) B

(c) C

(d) D

(e) E

Ans: (e)

**2. How many swimmers separate A and F ?**

(a) 1

(b) 2

(c) 3

(d) 4

(e) cannot be determined

Ans: (d)

**3. The swimmer between C & E is**

(a) none

(b) F

(c) D

(d) B

(e) A

Ans: (a)

**4. If the end of the race, swimmer D is disqualified
by the Judges then swimmer B finishes in which place**

(a) 1

(b) 2

(c) 3

(d) 4

(e) 5

Ans: (b)

Five houses lettered
A,B,C,D, & E are built in a row next to each other. The houses are lined up in
the order A,B,C,D, & E. Each of the five houses has a colored chimney. The roof
and chimney of each house must be painted as follows.

i. The roof must be painted either green, red ,or yellow.

ii. The chimney must be painted either white, black,

or red.

iii. No house may have the same color chimney as the

color of roof.

iv. No house may use any of the same colors that the

every next house

uses.

v. House E has a green roof.

vi. House B has a red roof and a black chimney

1. Which of the following is true ?

(a) At least two houses have black chimney.

(b) At least two houses have red roofs.

(c) At least two houses have white chimneys

(d) At least two houses have green roofs

(e) At least two houses have yellow roofs

Ans: (c)

**2. Which must be false ?**

(a) House A has a yellow roof

(b) House A & C have different color chimney

(c) House D has a black chimney

(d) House E has a white chimney

(e) House B&D have the same color roof.

Ans: (b)

**3. If house C has a yellow roof. Which must be true.**

(a) House E has a white chimney

(b) House E has a black chimney

(c) House E has a red chimney

(d) House D has a red chimney

(e) House C has a black chimney

Ans: (a)

**4. Which possible combinations of roof & chimney can
house**

I. A red roof 7 a black chimney

II. A yellow roof & a red chimney

III. A yellow roof & a black chimney

(a) I only

(b) II only

(c) III only

(d) I & II only

(e) I&II&III

Ans: (e)

Find x+2y

(i). x+y=10

(ii). 2x+4y=20

Ans: (b)

Is angle BAC is a right
angle

(i) AB=2BC

(2) BC=1.5AC

Ans: (e)

Is x greater than y

(i) x=2k

(ii) k=2y

Ans: (e)

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