CAT4MBA

Q1. I have a photograph, taken from a distance, of two rockets standing side
by side on the ground. The taller rocket is actually 89 feet tall, but it shows up as 33 mm tall in the picture. The smaller rocket is 25 mm tall in my picture. How tall is the smaller rocket really?

Q2.

In the coordinate system above, which of the following is the equation of line a?
a. 3x - y = 3
b. 3x + y = 3
c. x + 3y = 3
d. 3y - x = -3
e. 3y - x = 3

Q3. You have 2 cylindrical soup cans. The top and bottom of can A have a
diameter of 4 inches, and the can itself is 7 inches tall. The top and bottom
of can B have a diameter of 5 inches, and the can itself is 6 inches tall.
Which can has the smallest surface area? Give the dimensions of a piece
of rectangular paper that would wrap around the side of the smallest can
without overlapping.

Q4.

What is the perimeter of the figure shown above?

Q5. Two poles, 60 feet tall and 20 feet tall, stand on opposite sides of a field. The poles are 80 feet apart. Support cables are placed from the top of one pole to the bottom of the opposite pole. How far above the ground is the intersection of the cables

Q6. and B are two points with the co-ordinates (-2, 0) and (0, 5). What is the length of the diagonal AC if AB form one of the sides of the square ABCD?
a. √ 29 units
b. √ 58 units
c. √ 116 units
d. 2√ 58 units

Q7. Each of the smaller cubes in the figure measures 1 cm on each side.
What is the surface area of the figure?
What is the volume?

Q8.

A straight rod AB 3.75 m long is immersed in water with end A 2.5m and end B 0.75 m below the surface. The depth of point C on the rod where AC = 1m will be

Q9. The ratio of the area of a square of a square to that square drawn on its diagonals is
a. 1 : 1
b. 1 : 2
c. 1 : 3
d. 1 : 4

Q10. When each side of a square is increased by 4 centimeters, the area is increased by 120 square centimeters. By how many centimeters should each side of the original square be decreased in order to decrease the area of the original square by 120 square centimeters?

Q11. .

Two circles are internally tangent at point G as indicated in the diagram below. If AB = 6, EF = 8, and CD= 6, find the sum of the radii of the two circles. BD passes through the center of the larger circle.
a. 11
b. 12
c. 13
d. 14
e. 15

Q12.Find the area of the shaded region below

Q13. Find K if points A(-1, 4); B(2, 5) and C(3,K) are collinear ?