CAT4MBA

Q1. The perimeter of a right-angled triangle is four times the shortest side. The ratio of the other two sides is
a. 5 : 6
b. 3 : 4
c. 4 : 5
d. 2 : 3

Q2. There are two right pyramids with a square base. The two pyramids are similar in shape. The height of the first pyramid is 30 m and that of the smaller is 22.5 m. 36 men take 32 days to build the first pyramid.
How many days would 54 men of the same efficiency take to build the second pyramid ?
a. 36
b. 16
c. 9
d. None of these

Q3. In the given figure of circle, ‘O’ is the center of circle and ang(AOB) = 130 degree. What is the value of ang(DMC) ?

a. 65
b. 125
c. 85
d. cannot be determined

Q4. A 25 foot ladder is placed against a vertical wall of a building. The foot of the ladder is 7 feet from the base of the building. If the top of the ladder slips 4 feet, then the foot of the ladder will slide:
a. 9 ft.
b. 15 ft.
c. 5 ft.
d. None of these

Q5. What percent of the area of a circle is enclosed by an isosceles triangle one of whose sides is the diameter of the circle?
a. 31. 8%
b. 21.7%
c. 37.4%
d. 22.6%

Q6. The sum of the products of the sides of a triangle with sides a, b and c taken two at a time is 472. The sum of the products of the sides of the triangle with sides a + b, b + c and a + c taken 2 at a time is 1916. Find the perimeter of the triangle having its side as a, b and c
a. 32
b. 38
c. 46
d. 52

Q7. In the adjoining plane figure, sides AF and CD are parallel, as are sides AB and FE and sides BC and ED. Each side has length 1 unit. Also ∠FAB=∠BCD = 60°. The area of the figure is

a. sqrt(3/2)
b. 1
c. 3/2
d. sqrt(3)