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Nova Press: Problem Solving Diagnostic Test
Back to Question Sets
Question
Source
Views
Posts
No.1: If 3x + 9 = 15, then x + 2 = ...
1684
3
No.2: If a = 3b, b2 = 2c, 9c = d, then ...
1636
7
No.3: In the system of equations above, what is the value of b ? ...
1494
4
No.4: 3 – ( – 2[3 – 16 ÷ 2]) = ...
1794
13
No.5: what is the value of x?...
1440
2
No.6: ...
1889
11
No.7: The smallest prime number greater than 48 is ...
1849
5
No.8: If a, b, and c are consecutive integers and a   <   b   <   c , which of the following mus...
1601
5
No.9: ...
0
0
No.10: ...
1805
5
No.11: If , then z = ...
1625
1
No.12: 1/2 of 0.2 percent equals ...
1390
1
No.13: ...
0
0
No.14: If x + y = k, then 3x 2 + 6xy + 3y2 = ...
1892
5
No.15: 8x2 – 18 = ...
1547
1
No.16: For which values of x is the following inequality true: x2 < 2x. ...
0
0
No.17: If x is an integer and y = –3x + 7, what is the least value of x for which y is less than 1? ...
1325
2
No.18: In the figure above, triangle ABC is isosce­les with base AC.  If x = 60˚, then AC = ...
1487
3
No.19: A unit square is circumscribed about a circle.  If the circumference of the circle is qπ, what i...
2310
11
No.20: What is the area of the triangle above? ...
2023
8
No.21: If the average of 2x and 4x is 12, then x = ...
0
0
No.22: The average of x, y, and z is 8 and the aver­age of y and z is 4.  What is the value of x? ...
0
0
No.23: If the ratio of two numbers is 6 and their sum is 21, what is the value of the larger number? ...
1422
2
No.24: What percent of 3x is 6y if x = 4y? ...
0
0
No.25: If y = 3x, then the value of 10% of y is ...
0
0
No.26: How many ounces of water must be added to a 30-ounce solution that is 40 percent alcohol to dilute...
1624
4
No.27: What is the value of the 201 st term of a sequence if the first term of the sequence is 2 and each...
1421
2
No.28: A particular carmaker sells four models of cars, and each model comes with 5 options.  How many d...
0
0
No.29: Define a @ b to be a3 – 1.  What is the value of x @ 1 ? ...
1795
7
No.30: Define the symbol * by the following equa­tion: x* = 1 – x, for all non-negative x.  If , then...
2585
13
Total Questions: 30
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