Aztec Placement Papers

Chimney problem ( 10 - 14 )
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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.
1. The roof must be painted either green, red ,or yellow.
2. The chimney must be painted either white, black, or red.
3. No house may have the same color chimney as the color of roof.
4. No house may use any of the same colors that the every next house
uses.
5. House E has a green roof.
6. House B has a red roof and a black chimney

10). 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)

11). 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)

12). 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)

13). 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)

14). What is the maximum total number of green roofs for houses
Ans: (C)

15). There are 5 red shoes, 4 green shoes. If one draws randomly a shoe
what is the probability of getting red shoe is 5c1/9c1

16). What is the selling price of a car? cost of car is Rs 60 &
profit 10% profit over selling price Ans : Rs 66/-

17). 1/3 of girls , 1/2 of boys go to canteen .What factor and total
number of classmates go to canteen. Ans: cannot be determined.
18). price of a product is reduced by 30% . What percentage should
be increased to make it 100% Ans: 42.857%

19) There is a square of side 6cm . A circle is inscribed inside the
square. Find the ratio of the area of circle to square.

r=3
circle/square = 11/14

20). Two candles of equal lengths and of different thickness are there.
The thicker one will last of six hours. The thinner 2 hours less
than the thicker one.
Ramesh light the two candles at the same time. When he went to bed
he saw the thicker one is twice the length of the thinner one. For
how long did Ramesh lit two candles .

Ans: 3 hours.

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