IUT ইসলামিক ইউনিভার্সিটি অব টেকনোলজি ভর্তি পরীক্ষা ২০১০-২০১১

Which of the following phrases is most suitable that completes the sentence.  " I am afraid that my success as an engineer was just a........ "

The passive form of the sentence : " It is time to close the door " is -

The simple form of the following complex sentence : " Wait here till I arrive "

The negative form of the sentence : " Everybody is liable to error ".

Which one is the correct form of English ?

Where lays the mistake in the sentence.... "They saw me write."

Study hard if you want to pass in the admission test at KUET.  In this sentence,  the word hard is used as --

The antonym of the word " Trivial" is -

In 2025, the population of Bangladesh is projected to be 200 million. Choose a word which would best keep the meaning of the given sentence if it was substituted for the word Projected -

" We squander health in search of wealth". The word squander can best be replaced by -

The best word for the gap in the sentence."The audience_____ to his lecture."

The appropriate preposition in the gap of the sentence. I never thought_____playing cards.

Though he is rich,he is unhappy. The correct compound from of the sentence is -

Her forehead was as White as a lily. The comparative form of the sentence.

The great Pyramid was built thousands of years ago for a king calked Khufu.It is located on the west bank of the Nile river not far from Cario.In fact all pyramids along the Nile are on the west bank. The ancient Egyptians compared the rising of the sun to the beginning of the life and setting of sun to the end of life. This is why they buried the dead on the West bank of the Nile.In light if the above passage, choose the right answer.The dead were buried on the west bank of the Nile river because the ancient  Egyptians believed that             .

A lift is going down with an acceleration of 4.8 m/s². A ball is released 2 m height from the floor of the lift. How much time it will take to hit the floor by the ball?

(x+α )(x-β)+(x-β)(x+ɤ)+(x+ɤ)(x+α )=0 সমীকরণের মূলগুলির যোগফল শূন্য হবে, যদি

The value of the determinant ∣1ω3ω5ω31ω4ω5ω41∣\displaystyle \left | \begin{matrix} 1 &\omega ^{3} &\omega ^{5} \ \omega ^{3}&1 &\omega ^{4} \ \omega ^{5}&\omega ^{4} &1 \end{matrix} \right | , where ω\omega is an imaginary cube root of unity, is-

The value of   −814 \sqrt[4]{- 81}   is -

যদিcos⁡A=45\cos A=\frac{4}{5}হয়, তবে1+tan⁡2A1−tan⁡2A\frac{1+\tan^2A}{1-\tan^2A}এর মান-

How many solutions are there for sec4θ - sec2θ = 2; [0°<θ<180°]

Evaluate :   tan⁡−1(mn)−tan⁡−1(m−nm+n) \tan^{- 1}{\left ( \frac{m}{n} \right )} - \tan^{- 1}{\left ( \frac{m - n}{m + n}) \right.}   .

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

If a moving point P ≡ (a sinθ,b cosθ), then the locus of P will be a -

If the points (2, 2-2x),  (1, 2) and (2, b - 2x) are collinear, the value of b is -

If the equation of a given circle is x2 + y2 = 36 , then the length of the chord which lies along the line 3x + 4y - 15 = 0 is-

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

If y=12(sin⁡−1x)2y=\dfrac{1}{2}(\sin^{-1}x)^{2}, then find (1−x2)y2−xy1(1-x^{2})y_{2}-xy_{1}. ;
Where y1y_{1} and y2y_{2} denote first and second derivatives of yy respectively.

if f(x)=ex,g(x)=sin−1x,h(x)=f(g(x)),thenh′h(x)=?f(x) = e^x, g(x) = sin^{-1}x, h(x) = f(g(x)), then \frac{h^{\prime}}{h(x)} = ?

If tan⁡y=2t1−t2,sin⁡x=2t1+t2 \tan y = \frac{2t}{1 - t^{2}} , \sin x = \frac{2t}{1 + t^{2}} then dydx=? \frac{dy}{dx} = ?

The radius of a circular plate increases at the rate of 0.25 cm/sec when heat is applied . If the radius of the plate is 7 cm., the area increase rate is -

∫0π2cos⁡3xsin⁡xdx\int_{0}^{\frac{\pi}{2}}\cos^{3}x\sqrt{\sin x}dx

The area of the region enclosed by the curves y2 = x and y = x2 is -

The resultant of two forces 3P and 2P  is R. If the first force is doubled,  then the resultant is also doubled. The angle between the force is -

The extremities of an 8m long straight bamboo pole rest on two smooth pegs P and Q in the same horizontal line. A heavy load hangs from a point R of the pole. If PR = 3RQ and the pressure at Q be 325 gm-wt more than that of P,  the weight of the load is -

A car is moving at a velocity of 8 km/hour.  A body is thrown outside the car at a velocity of 16 km/hour. If the body moves perpendicular to the car,  what is the angle at which the body was thrown ?

All 120 students in a class play either cricket or football or both the games. Out of 120 students,  75 students play cricket only and 60 students play football only. How many students play both games ?

A committee of 4 members is to be formed from 5 engineering and 3 arts students. In how many ways can this be done so that the committee contains at least one engineering and at least one arts students.

If two consecutive coefficient in the expansion of (1+x)24 are in the ratio of 4:1,  the terms are.

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

Which of the following is even function -

If the kinetic energy of a body is increased by 300%, its momentum is increased by.

A ball of iron of weight 0.05 kg is revolving by fastening it at the end of a thread of length of 2 m. The moment of inertia.

A second-pendulum reads correct time on the earth surface. What will be the time period of it if it is placed on the moon's surface? The radius and mass of the earth is 4 times and 81 times that of the moon respectively.

A weight of 15 kg is hung with a wire of cross-sectional area 2 mm². The length of the wire is 4 m at the time of hanging the weight. Taking Young's modulus of the wire as 1.3 x 10¹⁰ N/m², find the reduction of length of the wire when the weight is withdrawn.

দুটি স্থানে অভিকর্ষজ ত্বরণের মান যথাক্রমে 9.8 m/s² ও 9.78 m/s² হলে, ঐ দুই স্থানে সেকেন্ড দোলকের দৈর্ঘ্যের পার্থক্য কত হবে?

A metal rod of length 20 cm and diameter 1 cm is covered with non-conducting substance. One of its end is maintained at 100°C,  while the other end is put in ice at 0°C. It is found that 25 gm of ice melts in 5 minutes . Calculate the co-efficient of thermal conductivity of the metal in cm-1°C-1S-1. [ specific latent heat of ice : 80 cal/g/°C]

It takes 5 minutes to decrease the temperature of a material from 80°C to 64°C and it takes 10 minutes to decrease from 80°C to 52°C. What is the ambient temperature ?

The resistances of the first and the second arms of a Wheatstone bridge are 10 ohm and 12 ohm respectively. The third arm contains an unknown resistance. When two parallel resistances each of 20 ohm are connected to the fourth arm of the bridge,  it attains  null condition. Find out the value of unknown resistance.

A carnot engine takes heat at 227°C and releases at 77°C. The efficiency of the engine is -