IUT ইসলামিক ইউনিভার্সিটি অব টেকনোলজি ভর্তি পরীক্ষা ২০১৩-২০১৪

The baseball players malice toward the referee was revealed in his (spiteful) remarks to the media.which almost ruined the referee career.

CARTOGRAPHER: MAP:

Although Zahid is much too inexperienced for the managerial position,he is willful young man  and (obdurately) refuse to withdraw his application.

Excited about winning award, Marium walked up to the podium and delivered an animated acceptance speech.
Choose the option that is similar in meaning to the underlined word:

The doctors were pleased that their theory had been fortified by the new research.
The underlined word ‘fortified’ can be best replaced by-

Because the excellent preservation of the fossil, anatomical details of early horseshoe crabs were...... For the first time, enabling experts to .....the evolution of the horseshoe crab.

The skeleton of ........bird that was recently discovered indicated that this ancient creature......... today's birds in that ,unlike earlier birds and unlike reptilian ancestors,it had not a tooth in it's head.

Program: concert:

ENTHUSIASM: MANIA:

TOUT

Synonym of SCOTCH is

PLUMB

_______have concluded that the volcanic eruption caused a tidal wave.

If the sides of a triangle are 5,12,13 cm respectively.  Then the Triangle is--

∣a+xa−xa−xa−x a+x a−xa−x a−x a+x∣=0\begin{vmatrix} a + x& a - x& a - x\ a - x & a + x & a - x\ a - x & a - x & a + x\end{vmatrix} = 0 then xx =?

If y =  tan⁡−1(x1−x2) \tan^{- 1}{\left ( \frac{x}{\sqrt{1 - x^{2}}} \right )}    then find the value of dydx\frac{dy}{dx}.

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 --

13i \frac{1}{3} i  এর বর্গমূল কোনটি?

If x=acos⁡3θx = a \cos^3 \theta and y=bsin⁡3θy = b \sin^3 \theta then dydx=?\frac{dy}{dx} = ?

Which of the following point is the reflection (image) of the point (3, -3) in the line 2y = x + 1 ?

What is the distance between the lines 4x + 3y + 16 = 0 and 4x + 3y + 26 = 0 ?

If the circles x2 + y2 - 16x - 12y + 75 =0 and 5x2 + 5y2 - 32x - 24y + 75 =0  touch each other, then the equation of the common tangent of their point of contact is --

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

The orbit of the earth around the sun is an ellipse with the sun at one focal point.  If the ellipse has a major axis of length 186 million miles and an eccentricity of approximately 0.016. Then, the shortest and greatest distances between the earth and the sun are --

Two listening posts, A and B are 500m apart. An explosion is heard at these posts. From the difference in times it is determined that the site of explosion is 800m closer to A then to B.  If the site of explosion lies on a hyperbolic curve,  then the equation of the hyperbola is --

x=tan⁡yx = \tan \sqrt{y} হল, x=1x=1 এর জন্য dy/dxdy/dx এর মান কত?

ddxln⁡(sin⁡x1−cos⁡x)=? \frac{d}{dx}\ln\left(\frac{\sin x}{1-\cos x}\right) = ?

The function x3 - 12x + 5 has a stationary value when --

Let g be a function whose derivative g' and is shown in the graph below.  For what value of x,  the value of g is minimum ?

A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant rate of 3 ft s-1. How rapidly is the area enclosed by the ripple increasing at the end of 10 s ?

∫tan⁡35xsec⁡25xdx=? \int \tan^{3} 5x \sec^{2} 5x dx = ?

∫03π4∣cos⁡x∣dx=? \int_{0}^{\frac{3 \pi}{4}}|\cos x| d x=?

Find the area of the region enclosed between the curves y = x2 and y = x + 6

A uniform beam AB of weight 100 N and 6m long had two bodies of weights 60 N and 80 N  suspended  from its two ends A and B,  respectively. At what distance from B, the beam should be supported so that it may rest horizontally?

sinx sin ( x+30°) + cosx cos( x + 30°) =?

The fundamental period of 12cot⁡(23)θ \frac{1}{2} \cot \left(\frac{2}{3}\right) \theta is-

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

In a study, it was discovered that 25% of the paintings of a certain art gallery are not original. A collector, in 15% cases, makes a mistake in judging if a painting is original or a copy. If she buys a painting thinking that it is original, what is the probability that it is not original ?

As a traffic light turns green, a waiting car starts with a constant acceleration of 6.0m/s² . At the instant the car begins to accelerate, a truck with a constant velocity of 21m/s passes the car through the next lane. How fast will the car be traveling when it overtakes the truck?

A race car has a mass of 710 kg. It starts from rest and travels 40.0m in 3.0 s. The car is uniformly accelerated during the entire time. What net force is exerted on it?

A partially inflated balloon contains 500m³ of Helium at 27°C at 1-atm pressure. What is the volume of the Helium at an altitude of 3000m, where the pressure is 0.5 atm and temperature is -3°C?

On July 19, 1969, Apollo 11's orbit around the moon was adjusted to an average orbit of 111 km. The radius of the moon is 1785 km, and the mass of the moon is 7.3 x 10²²kg. How many minutes did Apollo I take to orbit the moon once? G=6.67×10−11N−m2Kg−2 G = 6.67 × 10^{- 11} N - m ² K g^{- 2}

A thick sheet of plastic having refractive index of 1.50 is used as the side of an aquarium tank. Light reflected from a fish in the water has an angle of incidence of 35.0°. At what angle does the light enter the air? [Refractive index of water is 1.33]

A circuit contains six 480Ω lamps and a 24.0Ω heater connected in parallel. The voltage across the circuit is 240V. What is the total current in the circuit?

An electron is accelerated across a potential difference of 5.0 x 10³ V in the CRT of a television. What is the velocity of the electron if it starts from rest?

A space ship is 98m long.How first would it have to moving to appear only 49m?

Liquid helium has a very low boiling point 4.2K as well as low latent heat of vaporization, equal to 2.09 x 10⁴ J/kg. What is the boiling time for 2 kg of liquid helium by a 100W heater.

During one cycle an engine extracts 2.00 x 10³ of energy from a hot reservoir and transfers 1.50 x 10³ to a cold reservoir. How much power does the engine generate if it goes through 4 cycles in 2.5s?

A platform is suspended by four wires at its corners. The wires are 3m long and have a diameter of 2.00mm. Young's modulus of the material of the wire is 1.8 x 10¹¹ N/m². How far will the platform drop due to the elongation of the wires if a 50kg load is placed at the centre of the platform?

When the velocity of a moving object is increased by 4m/s, its kinetic energy is doubled.What is the initial velocity of the object?