There are six steps that lead from the first to the second
floor.

No two people can be on the same step.

Mr. A is two steps below Mr. C

Mr. B is a step next to Mr. D

Only one step is vacant (No one standing on that step)
Denote the first step by step 1

And second step by step 2 etc.

1. If Mr. A is on the first step, which of the following is
true?

(A) Mr. B is on the second step

(B) Mr. C is on the fourth step.

(C) A person Mr. E, could be on the third step

(D) Mr. D is on higher step than Mr. C.

Ans: (D)

2. If Mr. E was on the third step & Mr. B was on a
higher step than Mr. E which step must be vacant

(A) Step 1 (B) step 2 (C) step 4 (D) step 5 (E) steps 6

Ans: (A)

3. If Mr. B was on step 1, which step could A be on?

(A) 2&e only (B) 3&5 only (C) 3&4 only (D)
4&5 only (E) 2&4 only

Ans: (C)

4. If there were two steps between the step that A was
standing and the step that B was standing on, and A was on a higher step than D,
A must be on step

(A) 2 (B) 3 (C) 4 (D) 5 (E) 6

Ans: (C)

5. Which of the following is false?

i) B&D can be both on odd-numbered steps in one
configuration

ii) In a particular configuration A and C must either both
an odd numbered steps or both an even-numbered steps

iii) A person E can be on a step next to the vacant step.

(A) i only (B) ii only (C) iii only

Ans: (C)

Swimmers problem (6 - 9 )

Six swimmers A B C D E F compete in a race. There are no
ties. The out comes are as follows.

1. B does not win.

2. Only two swimmers separate E & D

3. A is behind D & E

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

5. F is a head of D

6. Who is fifth?

(A) A

(B) B

(C) C

(D) D

(E) E

Ans: (E)

7. How many swimmers separate A and F?

(A) 1

(B) 2

(C) 3

(D) 4

(E) Not determinable from the given info.

Ans :( D)

8. The swimmer between C & E is

(A) None (B) F (C) D (D) B (E) A

Ans: (A)

9. 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).

Chimney problem (10 - 14)

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, and 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 green, red, or yellow.

2. The chimney must be painted 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 clasmates goes 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.

21. M/N = 6/5 3M+2N =?

Ans: cannot be determined

22. p/q = 5/4 2p+q=? Cannot determine?

23. If PQRST is a parallelogram what it the ratio of
triangle PQS & parallelogram PQRST

Ans: 1:2

24. Cost of an item is Rs 12.60 & profit is 10% over
selling price what is the selling price Ans: Rs 13.86/-

25. There are 6 red shoes & 4 green shoes. If two of red
shoes are drawn what is the probability of getting red shoes

Ans: 6c2/10c2

26. 15 lts of water containing 20% alcohol then added 5 lts
of water. What is % alcohol?

Ans: 15%

27. A worker pay 20/- day, he works 1, 1/3,2/3,1/8.3/4 in a
week. What is the total amount paid for that worker?

Ans: 57.50

28. The value of x is between 0 & 1 which is the larger?
A) X B) x^2 C) -x D) 1/x

Ans : (D)

DATA SUFFICIENCY

(A) (1) alone sufficient

(B) (2) alone sufficient

(C) Both together are sufficient

(D) (1) alone & (2) alone sufficient

(E) Information not sufficient

29. A man of 6 feet tall is standing near a light on the top
of a pole. What is the length of the shadow cost by the man?

1) The pole is 18 feet high

2) The man is 12 feet high

30. It is 25 miles from C to B

Ans: (E)

31. Was Melissa Brown's novel published?

1). If Melissa Brown's novel was published she would receive
at least $1000 in royalties during 1978

2). Melissa Brown's income for 1978 was over $1000

Ans: (E)

32. Does every bird fly?

1) Tigers do not fly.

2) Ostriches do not fly

Ans: (B)

33. How much does John weigh? Jim weighs 200 pounds.

1) Toms weight plus Moes weight equal to John's weight.

2) John's weight plus Moe's weight equal to Twice Tom's
weight.

Ans: (C)

34. How much does John weigh? Jim weighs 200 pounds.

1) Toms weight plus Moes weight equal to John's weight.

2) John's weight plus Moe's weight equal to Twice Tom's
weight.

Ans: (C)

35. Is the figure ABCD is a rectangle

A ------------------- B

| |

| |

| |

| |

D ------------------- C

(1). x=90(degrees)

(2). AB=CD

Ans: (E)

36. Find x+2y

1). x+y=10

2). 2x+4y=20

Ans: (B).

37. Is x greater than y

1) x=2k

2) k=2y

Ans: (E)

38. Is angle BAC is a right angle

|\

|y\

| \

|x z\

------

39. Is angle BAC is a right angle

|\

|y\

| \

|x z\

------

(1). x=2y

(2) y=1.5z

Ans: (E)

40. A piece of string 6 feet long is cut into three smaller
pieces. How long is the longer of their three pieces?

1). Two pieces are the same length.

2) One piece is 3 feet 2 inches lone

Ans: (B)

41. How many rolls of wall paper necessary to cover the
walls of a room whose floor and ceiling are rectangles 12 feet wide and 15 feet
long

1) A roll of paper covers 20 sq feet

2) There are no windows in the walls

Ans: (E)

42. x and y are integers that are both less than 10. Is
x>y?

1) x is a multiple of 3

2) y is a multiple of 2

Ans: (E).

43. Fifty students have signed up for at least one of the
courses GERMANI 1 & ENGLISH 1, how many of the 50 students are taking
GERMANI 1 but not ENGLISH 1.?

1). 16 students are taking GERMANI 1 & ENGLISH 1

2). The number of students taking ENGLISH 1 but not GERMANI
1 is the same as the number of students taking GERMANI 1.

Ans: (C)

44. Is ABCD is a square? A ------------ B

(1) AD = AB |x |

(2) x=90(degrees)

Ans: (E)

45. How much card board will it take to make a rectangular
bos with a lid whose base has length 7 inches?

1) The width of the box 5 inches

2) The height of the box will be 4 inches

Ans: (C)

46. Did ABC Company made profit in 1980?

1). ABC company made a profit in 1979.

2). ABC company made a profit in 1981.

Ans: (E)

47. How much is Jane’s salary?

1) Janes salary is 70% of John's salary

2) Johns salary is 50% of Mary's salary

Ans: (E)

48. Is x>1

1) x+y=2

2) y<0

Ans: (c)

49. How many of the numbers x and y are positive? Both x and
y are less than 20

1) x is less than 5

2) x+y =24

Ans: (B)

50. Is the angle ACB is right angle A

(1) y=z | \

(2) (AC)^2+CB^2=AB^2 | z\

| \

| \

| \

|x y\

C -------- B

Ans: (B)

51. How far it from town A to town B? Town C is 12 miles
east of town A

1). Town C is south of town B

2). It is 9 miles from town B to town C

Ans: (C)

52. A rectangular field is 40 yards long. Find the area of
the field.

1) A fence around the boundary of the field is 140 yards
long

2) The field is more than 20 yards width

Ans: (A).

53. An industrial plant produces bottles. In 1961 the number
of bottles produced by the plant was twice the number of produced in 1960. How
many bottles were produced altogether in the year 1960, 61, &62

1) In 1962 the number of bottles produced was 3 times the
number of produced in 1980

2) In 1963 the number of bottles produced was one half the
total produced in the years1960,1961,1962.

Ans: (E)

54. Is xy > 1? x & y are both positive

1) x is less than 1

2) y is greater than 1

Ans: (E)

55. Is it a Rambus ----------

(1) All four sides are equal / /

(2) Total internal angle is / /

360 / /

----------

Ans: (E)

56. How many books are in the book shelf?

1) The book shelf is 12 feet long

2) The average weight of each book is 1.2 pound

Ans: (E)

57. What is the area of circle?

1). Radius r is given

2). Perimeter is 3 times the area

Ans: (A).

**ARITHMETIC**

58. Total distance is 120 km. going by 60kmph and coming
back by 40kmph what is the average speed?

Ans: 48kmph

59. A school has 30% from MAHARASTRA .Out of this 20% from
BOMBAY students. Find the total percentage of BOMBAY

Ans: 6%

60. An equilateral triangle of side 3 inch is given. How
many equilateral triangles of side 1 inch can be formed from it

Ans: 9

61. A/B = 3/5 15A = ?

Ans: 9B

62. Each side of a rectangle is increased by 100%. How much
the percentage of area will be increased?

Ans: 300%

63. Perimeter of the back wheel = 9 feet, front wheel = 7
feet on a certain distance the front wheel gets 10 revolutions more than back wheel.
What is the distance?

Ans: 315 feet

64. Perimeter of front wheel =30, back wheel = 20. If front
wheel is revolves 240 times. How many revolutions will the back wheel take?

Ans: 360 times

65. 205 of 6 liter solution and 60% of 4 liter solution is
mixed what percentage of the mixture of solution

Ans: 36%

66. City A population is 68000, decreasing at a rate of 80
per year City B having population 42000 increasing at rate of 120 per year. In
how many years both the cities will have same population

Ans: 130 years

67. Two cars, 15 km apart one is turning at a speed of
50kmph other at 40kmph. How will it take to two cars meet?

Ans 3/2 hours

68. A person wants to buy 3 paisa and 5 paisa stamps costing
exactly one rupee. If he buys, which of the following number of stamps? He won’t
able to buy 3 paisa stamps Ans: 9

69. There are 12 boys and 15 girls, how many different
dancing groups can be formed. Ans: 180

70. Which of the following fractions is less than 1/3?

(1) 22/62 (2) 15/46

Ans: 15/46

71. Two circles, one circle is inscribed and another circle
is out scribed over a square. What is the ratio of area of inner to outer circle?

Ans: 1: 2

Plumber problem (15 - 17)

Miss Dean wants to renovate her house. She hires a plumber,
a carpenter, a painter an electrical and interior decorator. The work to be
finished in one working (Monday - Friday). Each worker will take the full day
to do his job. Miss Dean permits only one person to work each day.

I) the painter can work only after the plumber and the
carpenter has finished their jobs

II) The interior decorator must do his job before the
electrician.

III) The carpenter cannot work on Monday or Tuesday

72. If the painter work on Thursday, which one of the
following alternatives is possible?

(A) The electrician works on Tuesday.

(B) The electrician works on Friday.

(C) The interior decorator works after the painter does.

(D) The painter works on consecutive days

(E) Miss Dean cannot fit the entire workers into schedule

Ans: (B)

73. If the painter works on Friday which of the following
must be false?

(A) The carpenter may works on Wednesday

(B) The carpenter and the electrician may work on
consecutive days

(C) If the carpenter works on Thursday, the electrician has
to work on Wednesday

(D) The plumber may work before the electrician does

(E) The electrician may work on Tuesday

Ans: (C)

74. Which argument is possible?

(A) The electrician wills works on Tuesday and the interior
decorator on Friday

(B) The painter will work on Wednesday and plumber on Thursday

(C) The carpenter wills works on Tuesday and the painter on
Friday

(D) The painter will work on Monday and the carpenter on
Thursday

(E) The carpenter will work on Wednesday and the plumber on
Thursday

Ans: (E)

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