IUT ইসলামিক ইউনিভার্সিটি অব টেকনোলজি ভর্তি পরীক্ষা ২০১১-২০১২

A child should not be______as being either very shy or over aggressive.

Despite assorted effusion to the contrary, there is no necessary link between scientific skill and humanism,and quite possibly, there may be something of a_______ between them

Ecology, like economics, concerns itself with the movement of valuable________through a complex network of producers and consumers..

It would be difficult for one so_______ to be led to believe that all men are equal and that we must disregard race, color and creed.

If the books ---------- last week, why haven't they been placed on the shelf?

The helium-filled balloon______.

ANGLE: DEGREE

CONFIRMED: INVETERATE::?

SAW: CARPENTER

LURK: WAIT

NEEDLE: KNIT

The Curies_______ collaboration helped to unlock the secrets of the atom.

Marie had a bright mind and a________ personality.

Marie _____ by leaving Poland and traveling to
France to enter the Sorbonne.

________she remembered their joy together.

Even though she became fatally ill from working with radium, Marie Curie was never______.

The word TOUT means —?

QUOTA:

TURBULENCE: ( Antonym)

OPPORTUNIST, means —

A man carries, on his shoulder, a load at the end of a stick. The distance of the load and his hand from his shoulder is 1 meter and 0.25 meter, respectively. If the thrust on his shoulder is R, then what is the weight of the load?

Two cars start their journey from the same point at a velocity of 1 km/hour and 2 km/hour, respectively.If the angle between their travel paths is 60° then what is their distance after 2 hours?

From a deck of cards if you pick four cards, what is the probability of getting four Aces?

Which quadratic equation has a root   −1−−5 - 1 - \sqrt{- 5}

Given, A=[123] A=\left[\begin{array}{l}1 \ 2 \ 3\end{array}\right] and AB=[−121−242−363] A B=\left[\begin{array}{lll}-1 & 2 & 1 \ -2 & 4 & 2 \ -3 & 6 & 3\end{array}\right] which one of the following is matrix B B ?

Let n be a positive integer.  Then the value of   ∑k=0n(−1)k(nk) \sum_{k = 0}^{n} \left ( - 1 \right )^{k} \left ( \frac{n}{k} \right )    is --

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

The value of- 2cos⁡(π13)cos⁡(9π13)+cos⁡(3π13)+cos⁡(5π13) 2 \cos{\left ( \frac{π}{13} \right )} \cos{\left ( \frac{9 π}{13} \right )} + \cos{\left ( \frac{3 π}{13} \right )} + \cos{\left ( \frac{5 π}{13} \right )} is-

13i \frac{1}{3} i  এর বর্গমূল কোনটি?

Solve : sin⁡x+cos⁡x=2 \sin{x} + \cos{x} = \sqrt{2} ; -π<x<π

For any triangle ABC, if c4−2(a2+b2)c2+a4+a2b2+b4=0 c^{4}-2\left(a^{2}+b^{2}\right) c^{2}+a^{4}+a^{2} b^{2}+b^{4}=0 then how many solutions are there for C?

If the lines 4x+3y−1=0 ; x−y+5=0 and kx+5y−3=0 are concurrent then k =

If point (a, 5) has equal distances from both the y-axis and a point (7, 2), then the of value of a is?

For which value of k the line 3x+4y=k will touch the circle x² + y² = 10x?

The standard equation of the Hyperbola is-

Evaluate   lim⁡x→0ax−1x \lim_{x \rightarrow 0} \frac{a^{x} - 1}{x}

If y=cot⁡−1(x2ex)+cot⁡−1(exx2) y = \cot^{- 1}{\left ( \frac{x^{2}}{e^{x}} \right )} + \cot^{- 1}{\left ( \frac{e^{x}}{x^{2}} \right )} then  dydx=? \frac{dy}{dx} = ?

If the slope of a curve at a point (x, y) is x2-2 and that curve passes through a point (3, 8), then the equation for that curve is-

Each side of a square box increases at the rate of 0.5 cm/sec. If the length of each side is 100cm then the rate of increase of its area is-

If the area enclosed by the curves y = sinx + cosx and y = |cosx - sinx| over the interval [0, π/2] is :

A car and a truck start from rest at the same instant, with the car initially at some distance behind the truck. The truck has a constant acceleration of 2 ms-2 and the car has an acceleration of 3ms-2. The car overtakes the truck after the truck has moved 75 m. How far was the car behind the truck?

A marksman fires a  0.22 caliber rifle horizontally at a target. The bullet has a muzzle velocity of 300ms-1. How much does the bullet drop in flight if the target is 150 m away?

200 students have taken both math and physics exams. Among them, 40 students fail in math and 20 students fail in physics exam. In both exams, 10 students have failed. If you randomly pick a student, what is the probability that he has failed in math exam and has passed in physics exam?

If f(x)=2x⁴-4 and g=x−22 g{=} \sqrt{\frac{x - 2}{\sqrt{2}}} then what is the value of fog(5)?

1+1/(2!)+1/(4!)+1/(6!)+........ .to infinity=?

How many ways can you arrange the letters ABCDEFGH so that the word will contain the string ABC ?

A person on the street wants to throw an 8 kg book up to a person Iearning out of a window 5m above street level. At what velocity the person should throw the book so that it reaches the person in the window?

A player throws a ball from a height of 3.5 meters. The ball flies at a speed of 9.8 m/sec creating an angle of 30° parallel to the surface. Another player catches the ball 2.1 meters from the surface. What is the distance between those two players? Note: g = 9.8 m/sec2

A thin glass sheet can just carry a mass of 5.5 kg. The sheet was raised with an increasing acceleration with an object on it and was found to break down when the acceleration equals 1.2 m/sec. What is the mass of the object? Note: g = 9.8 m/ sec2

In a carnival ride, the passengers travel in a circle of radius 5.0 m making one complete circle in 4 s. What is the acceleration of the ride?