Quantitative Reasoning Diagnostic Test
Attempt the following questions in strictly 15 minutes.
How many digits are in the product of (100-1)(100-2)(100-3)(100-4)(100-5).....(100-119)(100-120)
13200
12
1
24
If a$b = (a+2b)/(a+3b), what is the value of (1/4$1/8) x (1/6$1/3)?
1/72
4/7
25/28
11/21
7/4
The population of Magnanimous island increased from 36000 to 54000 from 1990 to 1993. If the rate of increase remains constant, what will be the population of Magnanimous island in 1999?
81,000
1,21,500
40,500
4,72,500
1,21,250
What is the median of the values 6, 7, 12, 5, 21, 23, 34?
5
12
39/2
108/7
Class A has 30 students, and the ratio of boys to girls is 1:4. Class B has 50 students, and the ratio of boys to girls is 4:1. What is the ratio of girls to boys across both the classes?
23:17
17:23
1:1
12:11
2x-6=14y, and 8x-56y=24. Find the values of x and y.
x=3, y=4
x=y=2
x=0, y=1
No solutions exist.
A cylinder's radius is 4 times its height. If the radius is reduced by 80% and the cylinder is then further reduced to half of its volume, what is the ratio of volumes of the original and the new cylinder?
5:1
8:1
2:5
6:7
4:3
A, B and C complete a work in 9, 15, and 45 days, respectively. A begins the work and after 1 day, B joins him. After 2 days, B leaves and C joins A. A and C work for 2 days, and leave. B joins again, and in 1 day, reverses the work done by A alone. He is then joined by C, and the two of them together complete the work. In how many days was the total work completed?
7
13
12
18
11
If p>q, which of the following is true?
p^2>q^2
q^2>p^2
p^2=(1/q)^-2
Cannot be determined from the information given.
Triangle ABE and Triangle BCD are equilateral triangles. Given that AC = 25, what is the combined perimeter of the two triangles?
75
100
125
50
150
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