IUT ইসলামিক ইউনিভার্সিটি অব টেকনোলজি ভর্তি পরীক্ষা ২০১৬-২০১৭

Abdur Rahim and Liaqat went to the bank and ____ made a deposit.

In 1980 , the Netherlands agreed to limit fishing in certain Atlantic Ocean beds, but in 1981 .....

While brokers, as a rule, aren't permitted to know executive access codes, in many instances ....

The number of workers ...... each year.

The commercial airliner flew too close to the military base , an act the army saw ...... a violation of it's air space.

Identify the correct synonym by looking for word rootes, prefixes or suffixes, Choose the word that means the same or about the same as the italicized word. [94-97]An incoherent answer

‘covered with debris’ is

Inadvertently left

Choose the word that means the opposite of the underlined word.Capable employee

Zealous pursuit

What’s the opposite of “exorbitant”?

A truck is stopped at a traffic signal. When the light turns green , it accelerates at 2.5ms-2 . At the same instant , a car passes the truck going 1.5ms-1 .Where does the truck catch up with the car?

If A = [1234] \left [ \begin{matrix} 1 & 2 \ 3 & 4 \end{matrix} \right ] B= [4735] \left [ \begin{matrix} 4 & 7 \ 3 & 5 \end{matrix} \right ] and AB-1 = [1a−35] \left [ \begin{matrix} 1 & a \ -3 & 5 \end{matrix} \right ] then a=?

If A =[12ab] \left [ \begin{matrix} 1 & 2 \ a & b \end{matrix} \right ] A² =[0000] \left [ \begin{matrix} 0 & 0 \ 0 & 0 \end{matrix} \right ] then the values of a and b are:

A ray off light coming from the point (1,2) is reflected at a point A on the x-axis and then passes through the point (5,3) Find the coordinates of the point A.

Find the equation of the line passing through the point of intersection of the lines 4x + 7y -3 = 0 and 2x - 3y +1 = 0 that has the equal intercepts on the axes.

A circle passes through the origin and the point (4,2) and it's centre is one the line x + y = 1 the equation of the circle is:-

lim⁡x→01−cos⁡xsin⁡22x\lim_{x \to 0} \frac{1 - \cos x}{\sin^2 2x} - এর মান কোনটি?

Find the equation(s) of tangent (s) from the origin to the circle x²+y²-5x-5y+10 = 0

How many triangles can be formed by 12 points,7 of which lie on one line and other 5 on another parallel line?

tan⁡[12(tan⁡−1x+tan⁡−11x)] \tan \left[\frac{1}{2}\left(\tan ^{-1} x+\tan ^{-1} \frac{1}{x}\right)\right]

A company produces two types of product. It uses three plants for the production.the 1st product requires 1 hour in plant 1 and 3 hours in plant tree for producing 1 items.the 2nd product requires to hours each in plant 2 and 3 for one production. Total available hours in plants 1,2 and 3 in a week are 4,12 and 18 respectively. Profit for each item of product 1 is 3 thousand and for product 2 is 5 thousand deposible maximum weekly profit for the company is-

The area bounded by the curves y = 2 − x2y\ =\ 2\ -\ x^2 and y=x is?

ddxtan⁡−11−cos⁡ x1+cos⁡ x= \frac{\text{d}}{\text{dx}} \tan^{-1} \sqrt{\frac{1-\cos\text{ x}}{1+\cos\text{ x}}} = ??

The total waste per mile in an electronic conductor is W = i²R + K²/R where i is the current and R is the resistance if the current is kept constant then find the maximum value of w?

Cylinder is expanding is such a way that it's height h and radius r are both increasing at the rate of 1% per hour. Find the rate the volume,V =πr²h,is increasing per hour.

Find the condition that one root of the quadratic equation px²-qx+p = 0 is 1 more than the other.

The point in lunar orbit nearest the surface of the moon is called perilune and the point farthest from the surface is called apolune.The Apollo 11 spacecraft was placed in an elliptical lunar orbit with the perilune altitude 110 km and apolune altitude 314 km ( above the moon).Find the equation of the ellipse if the radius of the moon is 1728 km and the centre of the moon is at one focus.

Long range navigation (LORAN) is a radio navigation system developed during world war II the system unable app pilot to guide aircraft by maintaining a constant difference between the aircrafts distances from two fixed points the master station and the slave station right and equation of hyperbola depicted in the following figure.

The boat shown is following figure is to be pulled on to the show using two ropes.if the resulent force is to be F1 = 80lb directed along the line aa, determine the magnitudes of the force P so that the magnitude of P is minimum.T acts at an angle θ1 = 30° from the line aa the force P will be minimum for a certain angle between P and T

A 2.4 m long 60 kg uniform table top is supported by a pivot 80 cm form the left end and by a scale at the right end as shown in the following figure how far from the left end should a 40kg child sit if the scale is to read zero?

A In a suspension bridge the shape of the suspension cables is parabolic. The bridge shown in the following figure has tower that are 600m apart, and the lowest  point of the suspension cables is 150m below the top of the tower, find the equation of the parabolic part of the cables, placing the origin of the coordinate system at the vertex (that is the lowest point of the cables)

Despite Measurement of a shot recorded on a videotape during a basketball game are shown in the following figure. The ball passed through the hoop even it barely cleared the hands of the player B who attempt to block it. Neglecting the size of ball when it passes over player B.[IUT : 2016-17]

Car A starts from rest at t=0 and travels along a straight road with a constant acceleration of 6ms-2 until it reaches a speed of 80m/s. Afterwards it maintains this speed. In contrast, at t=0, car B located 6000m down the road is traveling towards A at a constant speed of 60 m/s. Find the distance traveled by car A when they pass each other.

Find the vector equation of the line that pass through the points A(3,4,1) and B(2,-3,5) crosses xy plane.

There are 6 boys who entered a boat with 8 seats of which 4 seats on each side. In how many ways can they sit. If two boys A and B sit on the port side and another boy W sits on the starboard side?

The positive integers are bracketed as follows (1),(2,3),(4,5,6),....

In the expansion of (1+1/x)-1 when -1

On a multiple choice examination with 4 choices for each question, a student either knows the answer to a question or marks it randomly. The probability that he or she knows the answer?

On a planet with an unknown value of g, the period of a 0.65 m long pendulum is 2.8 s . What is g for this planet?

এক খন্ড রেডনের ৬০% ক্ষয় হতে কত সময় লাগবে? [রেডনের অর্ধায়ু ৩.৮২ দিন]

An airplane flies due west at 185Kmh-1 with respect to the air.There is a wind blowing at 85Kmh-1 to the northeast relative to the ground. What is the planes speed with respect to the ground?

A student stands on a bathroom scale in an elevator at rest on the 64th floor of a building. The scale reads 836N. As the elevator moves up, the scale reading increases to 936N, then decreases back to 836N. What is the acceleration of the elevator?

As a baseball is being caught , its speed goes from 30.0ms-1 to 0.0 in about 0.0050 s.The mass of the baseball is 0.145Kg. What is the magnitude of the force acting on the player who caught it?

A 5.00 bullet is fired with a velocity of 100.0ms-1 toward a 10.00kg stationary solid block resting on a frictionless surface. What is the change in momentum of the bullet if it is embedded int the block?

A 750kg car moving at 23 ms-1 brakes to a stop. The brakes contain about 15 kg of iron, which , absorbs the energy. What is the increase in temperature of the brakes? Specific heat of iron is 450J (Kg°C)-1

An electric motor develops 65KW of power as it lifts a loaded elevator to 17.5 m in 35s . How much force does the motor exert?

The Earth is revolving around the sun on an orbit of radius 1.5×108Km. If the time of one revolution is  3.156×107s , what is the mass of the Sun? (G= 6.67×1011 Nm2Kg-2)

A man whose weight is 0.80KN is standing upright . How much his thighbone shortened compared to when he is lying down. The length of his thighbone when lying is 43.0 cm and the area of the thighbone is 8.0  cm² [ Young's modulus of the thighbone Y = 9.4×10⁹ Pa ]  [P-1.7, IUT : 2016-17]

টিট্রিয়ামের অর্ধ জীবন 12.5 বছর। 25 বছর পর একটি নির্দিষ্ট টিট্রিয়াম বস্তুখন্ডের কত অংশ অবশিষ্ট থাকবে?