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 ?
2. How many swimmers separate A and F ?
(e) cannot be determined
3. The swimmer between C & E is
4. If the end of the race, swimmer D is disqualified
by the Judges then swimmer B finishes in which place
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,
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
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
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.
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
4. Which possible combinations of roof & chimney can
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
Is angle BAC is a right
Is x greater than y
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