Non Engg. Maths Page 1 of 4
A
Total Marks: 50 Time: 50 minutes
Name ID
Instructions:
a) Turn-off all mobile communication devices (cell-phones, PDAs, laptops, etc.) b) There are 30 (thirty) problems. You have to attempt all of them.
c) Each problem has 5 (five) possible answers. Choose the correct answer, and fill the appropriate oval on the answer sheet.
d) There is no negative marking.
e) Do not fill more than one oval for any problem.
f) It is preferable that you use a pencil to answer the problems.
g) Non-programmable calculators can be used if necessary.
Signature of the invigilator
1. If ab y
,
what is a2 2abb2?A) y
B) 2y
C) y2
D) 2y2 E) 4y2
2. If the average (arithmetic mean) of the numbers x, 2x and 4x is 14, what is the value of x?
A ) 2 B) 6 C) 7 D) 10 E) 12 3. 230 230 230230
A) 8120 B) 830
C) 232
D) 230
E) 2 26 4. If (ab)2 (ab)2, what is the value of ab?
A) 4
B) 2
C) 0 D) 2 E) 4
5. A number is divided by 4. The result is divided by 3. The final result is 2. What was the original number?
A)6
B
)
12C
)
18D
)
24E
)
36 6. If 24n34n1, what is n?A ) 3
B) 5/2
C) 1
D) 2 E) 4/3
Independent University, Bangladesh
Admission Test (Sample)
Mathematics (Non-Engineering)
Non Engg. Maths Page 2 of 4
7. A farmer can pick 12 cabbages in one hour. Working at the same rate, how long in hours would it take two farmers to pick 48 cabbages.
A) 1 B) 2 C) 4 D) 6 E) 8
8. If m is an integer satisfying 3m13 and 2m7, what is the value of m?
A ) 0 B) 2 C) 3 D) 4 E) 5
9. The area of a rectangle is 72. If the length of the rectangle is twice its width, what is the width of the rectangle?
A) 6 B) 8 C) 10 D) 12 E) 16 10. If k is negative and 1
2 8
) 2
( 2
k
k , what is the value of k?
A ) 4
B) 3 C) 2 D) 1 E) 0
11. Which of the following values of x satisfies |13x|5
?
I
.
1 II. 1 III. 2A) I only B) II only C) III only D) I and II only E) All
12. I solved problems 74 to 125 inclusive. How many problems did I solve?
A ) 53 B) 52 C) 51 D) 50 E) 49
13. How many positive integers less than 1000 are divisible by 3?
A ) 300 B) 310 C) 311 D) 333 E) 500
14. If f(x)(x3)(x3), what is the minimum value of f(x)? A) 9
B) 3 C) 0 D) 3 E) 9
15. The values of xy and 2xy are consecutive odd integers. What is the value of x?
A) 1 B) 1/2 C) 0 D) 1 E) 2
16. If a3 b2, which of the following is equal to b a? A) b2/3
B) b4/3 C) b2 D) b3
E) b4
17. If (x1)2 4 and (x1)2 16, what is the value of x?
A) 3 B) 1
C) 1 D) 3 E) 5
18. Let a, b, and c be positive integers. If the average (arithmetic mean) of a, b, and c is 100, which of the following is not a possible value of any of the integers a, b, and c?
A) 1 B) 100 C) 297 D) 298 E) 299
Non Engg. Maths Page 3 of 4
19. Each of the following is equal to (bc k) b
a except
A)
b k
a c B) a(ck/b) C) (k bc) b
a D) acak/b
E) b ak abc
20. Let t x1/x. If t and x are integers, which of the following is a possible value of t ?
A) 1 B) 0 C) 1 D) 2 E) 3
21. If pqr1, rst 0, and spr0, which of the following must be zero?
A) p B) q C) r D) s E) t
22. A perfect cube is an integer whose cube root is an integer. For example, 27, 64 and 125 are perfect cubes. If p and q are perfect cubes, which of the following will not necessarily be a perfect cube?
A) 8p
B) pq C) pq27
D) p E) (pq)6
23. A picture is copied onto a rectangular sheet of paper of dimensions 8.5 inches by 10 inches. A 1.5 inch margin is left at the top, bottom, left and right. What area in square inches does the picture cover?
A) 76 B) 65 C) 59.5 D) 49 E) 38.5
24. If 3xy19 and x3y1, find the value of 2x2y. A) 20 B) 18 C) 11 D) 10 E) 5
25. In a certain village, m litres of water are required per household per month. If there are n households in the village, how long (in months) will p litres of water last?
A) p/(mn) B) mn/p C) mp/n D) np/m E) npm
26. A bag contains tomatoes that are either green or red. The ratio of green tomatoes to red tomatoes in the bag is 4 to 3. When five green tomatoes and five red tomatoes are removed, the ratio becomes 3 to 2. How many red tomatoes were originally in the bag?
A) 12 B) 15 C) 18 D) 24 E) 30
27. One side of a triangle has length 8 and a second side has length 5. Which of the following could be the area of the triangle?
I. 24 II. 20 III.5
A)I only B) II only C) III only D)II and III only E) All
Non Engg. Maths Page 4 of 4
28. Which of the following values of x satisfies xx3 x2
?
A) 5/3 B) 3/5 C) 2/5 D) 5/2 E) None of these 29. The first term in a sequence is 1 and the second term is 5. From the third term onwards, each term is the average (arithmetic mean) of all preceding terms. What is the 25th term of the sequence?
A) 2.5 B) 3 C) 5 D) 25 E) 50 30.
Which of the following equations is satisfied by the five pairs of numbers listed in the table above?
A ) yx3 3
B) y3x3 C) y3x6 D) yx2 6
E) y x2 7
x y
2 3
0 3
1 6
2 9
4 15
