1. Mr. Smith is registering at a hotel that has 14 rooms available on the first floor, 10 rooms available on the second floor and 16 rooms on the third floor. If he is assigned one of these hotel rooms at random, what is the probability that it will be on the second floor?
a) 1/4
b) 1/2
c) 1/3
d) 2/3
e) 1/14
2. If $300 are divided among 85 students so that each boy gets $4 and each girl gets $3, then find the number of boys and girls.
a) 40, 45
b) 30, 55
c) 45, 40
d) 55, 30
e) 60, 25
3. What is necessarily the value of |x - 10| if x is less than 10?
a) 10 - x
b) x - 10
c) x
d) 10
e) x + 10
4. If 10a, 10b and 10c are in GP, then what is the relation between a, b and c?
a) b = √ac
b) 1/b = 1/a + 1/c
c) a + b + c = 3b
d) a = 2b = c
e) b = ac
5. In a potato race, 10 potatoes are placed 6m apart in straight line, the first being 10m apart from a basket. A runner starts from the basket and puts one potato at a time in the basket. What is the distance covered in order to put the last potato in the basket?
a) 60m
b) 128m
c) 70m
d) 100m
e) 130m
6. A cylindrical vessel 32inches high and 18inches as the radius of the base is filled with sand.This is emptied on the ground and a conical heap of sand is formed.If the height of the conical heap is 24inches, find the radius of its base.
a) 18inches
b) 32inches
c) 36inches
d) 24inches
e) 54inches
7. The pie-diagram given below shows the percentage of employees in various sectors in a particular country. If 1.5 million people are employed in the service sector, how many million people are employed in the educational sector?
Note: Figure not drawn to scale.
a) 1.5
b) 2
c) 1
d) 0.75
e) 10
8. In the given figure, C and D are points on the semi-circle described on BA as diameter. Given ∠BAD = 70° and ∠DBC = 30°. What is the value of ∠BDC?
Note: Figure not drawn to scale.
a) 90°
b) 60°
c) 30°
d) 40°
e) 50°
9. Ratio of income to expenditure of a company over the years is shown in the graph given.If the income of the company was 2.8 million dollars in 2004, what was its expenditure in million dollars in 2004?
a) 2
b) 2.8
c) 3
d) 1
e) 1.4
10. The length of a rectangle is 5 more than the side of a square, and its breadth 5 less than the side of the square.If the area of the square is 45 square units, what is the area of the rectangle in square units?
a) 45
b) 5
c) 25
d) 20
e) 15
