# IMT Post UTME Past Questions and Answers

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We have the Institute of Management and Technology, IMT Post UTME Past Questions and Answers for all to download and prepare for the examination.

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**INSTITUTE OF MANAGEMENT AND TECHNOLOGY, ENUGU MATHEMATICS 2008 / 2009**

1. The length of a notebook 15cm was measured as 16.8cm, calculate the percentage error to two

significant figures.

(a) 0.12{8ae8c24ce74896ced30bee61486d21e5e3d5ef709488a1076500d8a8ad4d4175} (b) 10.71{8ae8c24ce74896ced30bee61486d21e5e3d5ef709488a1076500d8a8ad4d4175} (c) 11.00{8ae8c24ce74896ced30bee61486d21e5e3d5ef709488a1076500d8a8ad4d4175} (d) 12.00{8ae8c24ce74896ced30bee61486d21e5e3d5ef709488a1076500d8a8ad4d4175}

2. If a x b = —√(ab, evaluate 2. (12-27)

(a) 12 (b) 9 (c) 6 (d) 2

3. If Ade deserves twice as many marks as Bayo and

Bayo deserves half as many marks as Tunde.

How many marks does

Bayo receive when their total marks is 225?

(a) 45 (b) 90 (c) 135 (d) 75

4. The chord ST of a circle is equal to the radius

r of the circle. Find the length of arc ST.

(a)– (b)— (c)- (d)L

5. If tanθ = 4/3, calculate sine θ – cosθ (a) /25 (

b) /25 (c) 16/25 (d) 24

6. Two perpendicular lines PQ and QR intersect at (

1, -1). If the equation of PQ is x — — 4 = 0, find

the equation of QR.

(a) x — = -1 (b) 2x+y=3 (c) x -2y = 3 (d) 2x+y=]

7. P is on the locus of points equidistant from two

given points X and Y. UV is a straight line throug

h Y

parallel to the locus.

If angle PYU is 40

°

, find angle XPY. (a) 40

°

(b) 50

°

(c) 80

°

(d) 100

°

8. Find the number of sides of a regular polygon wh

ose interior angle is twice the exterior angle.

(a) 2 (b) 3 (c) 6 (d) 8

9. Find the value of k, if the line 2y – ky – 4 = 0

is perpendicular to the line 7 – 1/4 x – 7 = 0

(a) -8 (b) 8 (c) -4 (d) 4

10. A hunter 1.6m tall views a bird on top of a tre

e at an angle of 45

°

. If the distance between the

hunter and the tree is

10.4m, find the length of the tree. (a) 12.Om (b) 9

.Om (c) 10.4m (d) 8.8m

11. If 13— 2:v1 < 7, the nx lies between (a) -5 and

3 (b) -5 and 2 (c) -4 and 1 (d) -3 and 2

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