PrepLab Math Practice Test For IBA Entrance Test

Test Time: 15 Minutes          

01. If i² = −1, then i⁵⁰ =

A)                i

B)                -i

C)                1

D)                -1

E)                -4

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02. If a is a multiple of 3 and b is an odd integer, then which of the following must be an odd integer?

          A)     ab
   B)     a + b
   C)     2a + b
   D)     a + 2b

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03. If 12/4 = x, what is the value of 4x + 2

       A)    3
B)   14
C)    4
D)    12 

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04. A scientist found that the number of bacteria in a sample doubles every 3 hours. If there were 48 bacteria in the sample at the start of the experiment, how many bacteria were there after 15 hours?

A) 384

B) 768

C) 1536

D) 3072

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05. The inequality x² - 2x + 1 ≤ 0 has

A)     no solutions

B)     a set of solutions

C)     1 solution only

D)     2 solutions only

E)     3 solutions only

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06. The ratio of the areas of two squares is 4:1. If the perimeter of the smaller square is 20, what is the perimeter of the larger square?

(A)             5

(B)             10

(C)             20

(D)            40

(E)             80

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07. How many numbers from – 300 to 300 inclusive are equal to the cube of an integer?

A)     6

B)     7

C)     12

D)     13

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08.  If the nth term of a sequence is 3n2– n, then how much greater is 10th term than the 3rd term?

(A)  242

(B)  266

(C)   281

(D)  286

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09. If (a - 5) (b + 5) < 0, then which of the the following must be true?

1. A)    (a < 5) and (b<5) OR (a>5) and (b>5)
2. B)    (a < 5) and (b>5) OR (a<5) and (b<5)
3. C)    (a<5) and (b>5) OR (a>5) and (b<5)
4. D)    (a < 5) and (b=5) OR (a=5) and (b>5)
5. E)    (a > 5) and (b<5) OR (a>5) and (b>5)

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10. If a and b are both even numbers, which of the following COULD be and odd integer?

A)     (a + b)2

B)     a2 + b2

C)     (a + 1)2 + (b + 1)2

D)     (a + 1)*(b + 1) - 1

E)     (a + 1) / (b + 1)