IUT ইসলামিক ইউনিভার্সিটি অব টেকনোলজি ভর্তি পরীক্ষা ২০১৪-২০১৫

Peripheral is most nearly opposite in meaning to-[IUT : 2014-15]

Disingenuous is most nearly opposite in meaning to [IUT : 2014-15]

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:

Untoward is most nearly opposite in meaning to- [IUT : 2014-15]

Potable is most similar in meaning to-[IUT : 2014-15]

‘Undermine ‘ is most similar in meaning to-[IUT : 2014-15]

Destitute is most similar in meaning to-

Read the following sentences and try to choose the best definition for the underlined and italicized word by searching for context clues in the sentence.The intermittent  rain soaked the garden many different times during the day --

The air in the rainforest was humid , making the heat seem even more something than before.

The Sami are an indigenous people living in the northern parts of Norway, Sweden, Finland, and Russia's Kola peninsula. Originally, the Sami religion was animistic: that is, for them, nature and objects had a conscious life spirit. Therefore, one was expected to move quietly in the wilderness and avoid making a Khan is said to have declared that the same were one people he would never try to fight again. Because the Sami were not warriors and did not believe in war, they simply disappeared in times of conflict. They were Known as 'peaceful retreaters." Based on the tone of the passage, which of the following words best describes the author's attitude toward the Sami people ?

The Sani are an indigenous people living in the northern parts of Norway, Sweden, Finland, and Russia's Kola Peninsula. Originally, the Sami religion was animistic; that is, for them, nature and natural objects had a conscious life, a spirit. Therefore, one was expected to move quietly in the wilderness and avoid making a disturbance out of courtesy to these spirits. Genghis Khan is said to have declared that the Sami were one people he would never try to fight again. Because the Sami were not warriors and did not believe in war, they simply disappeared in times of conflict. They were known as "peaceful retreaters."The closest meaning of the underlined word animistic,  as it is used in the passage,  is --

A mass of 8 kgs hangs in equilibrium , suspended by two light , inelastic strings making angles of 30o and 45o with the horizontal. Calculate the tension in the two strings.

Two children are swinging from a 12 ft jungle gym that weights 50 Ibs as shown in the figure given below. The child at C weights 70 Ibs and the child at D weights 60 Ibs. Calculate the reactions for the pin at A and the roller at B.[In the figure , c.g. refers to center of gravity.]

If i2=−1 i^{2}=-1 , then the value of 2−3i2i= \frac{2-3 i}{2 i}= ?

If A and B are two sets, and the complements of A and B are A' and B',  respectively,  then A' - B' is-

If   ∣abcdefghi∣=−6 \left \lvert \begin{matrix} a & b & c \ d & e & f \ g & h & i \end{matrix} \right \rvert = - 6    then   ∣3a3b3c−d−e−f4g4h4i∣=? \left \lvert \begin{matrix} 3 a & 3 b & 3 c \ - d & - e & - f \ 4 g & 4 h & 4 i \end{matrix} \right \rvert = ?

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

If   2cos⁡2θ−sin⁡θ=1 2 \cos^{2}{\theta} - \sin{\theta} = 1   then the value of   θ \theta   is --

tan⁡−1x+tan⁡−1(1−x1+x)=? \tan^{- 1}{x} + \tan^{- 1}{\left ( \frac{1 - x}{1 + x} \right )} = ?

For triangle ABC, a= 2x + 3, b= x2 + 3x + 3 and c = x2 + 2x. The largest angle of the triangle is --

Assume that the point A (5,6) is a reflection of the point B(-1, 8) in a line,  when a mirror is placed along the line. The equation of the line is -

The equation of the circle whose two diameters are the lines x+y=4x+y=4 and x−y=2x-y=2 and which passes through (4,6)(4 , 6 ) is

A cross-section of a parabolic reflector is shown in the figure below. The light source at the focus of the parabola and the opening of the focus is 10 cm. The equation of the parabola is-

A man made satellite orbits the earth in an elliptical path whose center is at the center of the earth. If the altitude of the satellite ranges from 1000 to 2000 miles,  find the equation of its path. The radius of the earth is approximately 4000 miles.

Which of the following statement is /are correct ?(i)The number L is the limit of f(x) as x→ax \rightarrow a if, given any ∈>0\in > 0, there existsa value of x for which ∣f(x)−L∣<∈|f(x)-L|<\in(ii) The number L is the limit of f(x) as x→ax \rightarrow a, if for every number , ∈>0\in > 0there exists a corresponding number δ>0\delta>0 such that for all x, if 0<|x - a|< δ\deltathen ∣f(x)−L∣<∈|f(x)-L|<\in.(iii) The number L is the limit of f(x) as x→ax \rightarrow a, if f(x) gets closer to L as xapproaches a.(iv) The number L is the limit of f(x) as x→ax \rightarrow a, if the values of f(x) can be made asclose as we like to L by making x sufficiently close to a ( but not equal to a) .

A farmer has an adjustable electric fence that is 100 m long.  He uses this fence to enclose a rectangular area on three sides as show in the figure given below. The fourth side is kept open. The maximum area that he can enclose is -

Find the area of the region enclosed by   y=2−x y = \sqrt{2 - x} and y = -x as shown in the figure given below ?

Find the area bounded by the curves y = x2 and y = 2x

An Olympic long jumper leaves the ground at an angle of 23o and travels through the air for a horizontal distance of 8.7m before landing. The takeoff speed of the jumper is-[Assume g = 9.8ms-2]

A ball is thrown vertically upwards with speed 7.7ms-1 from the top of a sheer cliff of height 21m.The time taken by the ball to reach the foot of the cliff is-[Assume g = 9.8ms-2]

A mother would like to balance her son on the teetor totter as shown in the figure give below . Calculate the distance d so that the system is in equilibrium.

A tennis ball is thrown straight up with an initial speed of 22.5ms-1. It is caught at the same distance above the ground. How high does the ball rise ?

You and your friend each drive 50.0km. You travel at 90kmh-1 and Your friend travel at 95km/h. How long will your friend wait for you at the end of the trip ?

Determine whether one or more of the following situations is/are permutations(s): (i) Creating a password for a computer using any 8 alphabet letters.(ii) Determining how many different ways you can elect a Chairman and Co -Chairman of a committee from a group of 10 people (iii)  Voting to allow 10 new members to join a club when there are 25 persons who are interested to join the club. (iv) Finding different ways to arranges a line up for batsman on a cricket team.

Suppose 7 students are staying in a room of a hostel and they are allotted 7 beds placed one after another. Among them X does not want a bed next to Y, because he snores. Then, in how many ways,  can you allot the beds ?

The coefficient of xnx^{n} in the expansion of 1(1−x)(1−2x)(1−3x)\dfrac{1}{(1-x)(1-2x)(1-3x)} is ;

Find the sum of the first n terms of the series :   1+52.32+103.422+174.523+… 1 + \frac{5}{2.3} 2 + \frac{10}{3.4} 2^{2} + \frac{17}{4.5} 2^{3} + \ldots

From the set of all families with two children , a child is selected at random and is found to be a girl . The probability that the sescond child of this family is also a girl is-

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?

A 75kg boy and a 60kg girl use an elastic rope while engaged in a tug of war on a frictionless surface.If the acceleration of the girl toward the boy is 3.0 ms−23.0\ ms^{-2}, what is the magnitude of acceleration of the boy toward the girl ?

A 615kg racing car completes one lap in 14.3s around a circular track with a radius of 50m.The car moves at constant speed.What is the centripetal acceleration of the car ?

The moon has a period of 27.3 days and has a mean distance of 3.90 x 105km from the centre of Earth. What is the period of an artificial satellite that is in an orbit 6.70 x 103km from the centre of Earth ?

A 1325kg car moving north at 27.0ms-1 collides with a 2165kg car moving east at 17.0ms-1.They stick together.With what speed do they move after collision?

The third floor of a house is 8.0m above the street level. How much work is needed to move a 150kg refrigerator to this third floor?

A 6 x 102g sample of water at 90oC is mixed with 4.00 x 102g of water at 22oC.Assume no heat loss at the surroundings. What is the final temperature of this mixture?

A 4.2g lead bullet moving at 275ms-1 strikes a steel plate and stops. If all its kinetic energy is coverted to thermal energy and none leaves the bullet, what is its temperature change? [Specific heat of lead is 130 j/kgoC]

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

A boy is floating in a freshwater lake with his head just above the water . If he weights 600N, what is the volume of the submerged part of his body?

A light source is located 2.0m below the surface of a swimming pool and 1.5m from one edge of the pool.The pool is filled to the top with water. At what angle does the light reaching the edge of the pool leave the water?

সর্বোত্তম অনুমানভিত্তিক উত্তর — আনুষ্ঠানিক উত্তর নয়: মূল তথ্য বা উত্তরে অস্পষ্টতা/অসম্পূর্ণতা রয়েছে। প্রদত্ত উত্তরটি নিশ্চিত নয়; যাচাই করে ব্যবহার করো।

A jeweler inspects a watch with a diameter of 3.0cm by placing it 8.0m in front of a concave mirror of 12.0cm focal length. Where will the image of the watch appear?