IUT ইসলামিক ইউনিভার্সিটি অব টেকনোলজি ভর্তি পরীক্ষা ২০২৩-২০২৪

Choose the appropriate word for the blank space to complete the sentence of the following passage:Ibn Sina, also known as Avicenna, was a preeminent philosopher and physician who lived during the Islamic Golden Age. Born in 980 AD in the city of Bukhara, which is now in Uzbekistan, Ibn Sina made significant contributions to various fields, including medicine, philosophy, astronomy and literature. His works became foundational texts in both the Islamic world and Europe,1. ———— scholars for centuries to come.

One of Ibn Sina's most renowned contributions is his 2. —— —— "The Canon of Medicine," which is a comprehensive encyclopedia of medical knowledge. This work, written in Arabic, covers a wide range of medical topics, including anatomy, physiology and pharmacology. "The Canon" served as the standard medical textbook in both the Islamic world and Europe for over six centuries, showcasing Ibn Sina's deep understanding of the human body and his systematic approach to medicine.

Beyond medicine, Ibn Sina also made significant contributions to philosophy and theology. His philosophical masterpiece, "The Book of Healing," explores various topics such as metaphysics, ethics and logic. Ibn Sina's philosophical ideas had a profound impact on both Islamic and Western thought, earning him the title of "The Prince of Physicians" and "The Aristotle of the East." His legacy as a polymath continues to be 3 . —— —— with countless institutions and landmarks named in his honor across the globe.

The questions in this group are focused on sentence correction. Select a best phrase to replace the underlined portion in that sentence.The survival of many endangered species of fish in our rivers depends on both the enforcement of regulations and recreational activities being available apart from fishing.

The questions in this group are focused on sentence correction. Select a best phrase to replace the underlined portion in that sentence.Anyone wishing to be considered for the position should send in their resumes before the deadline on March 22.

The questions in this group are focused on sentence correction. Select a best phrase to replace the underlined portion in that sentence.Though margarine was introduced as a supposedly healthful alternative to butter, recent studies suggest it is as harmful or worse than butter.

Choose appropriate word/words for the blank space to complete the sentence.…….. Amir could easily afford to go on holiday, he never does.

Choose appropriate word/words for the blank space to complete the sentence.I keep my mathematics notes in a …… folder.

Choose appropriate word/words for the blank space to complete the sentence.Let's take a break soon, ……. ?

Choose the world that means the same or about the same as the italicized word.The nexus of any government in the country is …….

Choose the world that means the same or about the same as the italicized word.The supposedly urbane …….

Choose the world that means the same or about the same as the italicized word.Land and its buildings ……….

Choose the word that means the opposite of the italicized word.The reticent wheel does not get the grease.

Choose the word that means the opposite of the italicized word.Being dilatory in duty.

Choose the word that means the opposite of the italicized word.Resilient

∣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 the matrix [a+482a−2] \left[\begin{array}{cc}a+4 & 8 \ 2 & a-2\end{array}\right] is singular, find the values of a.

Find the angle between the vector 5i^+2j^+3k^ 5 \hat{i}+2 \hat{j}+3 \hat{k} and x x -axis.

If the coordinates of the ends of a diameter of a circles are (3,0) (3,0) and (−3,0) (-3,0) , what is the equation of the circle?

The centre of a circle is (−6,4)(-6,4). If one end of the diameter of the circle is at (−12,8)(-12,8), then the other end is at

A candidate is required to answer 6 questions out of 10 which are divided into two groups each containing 5 questions and s/he \mathrm{s} / \mathrm{he} is not permitted to attempt more than 4 from any group. In how many different ways can S/ \mathrm{S} / he make up her/his choice?

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

If 7sin⁡2α+3cos⁡2α=4 7 \sin ^{2} \alpha+3 \cos ^{2} \alpha=4 ; find the value of tan⁡α \tan \alpha .

If xy+x2y2−5=0 x y+x^{2} y^{2}-5=0 , find dydx \frac{d y}{d x} .

Find the area bounded by y=2x,x=5 \mathrm{y}=2 \mathrm{x}, \mathrm{x}=5 and y=0 \mathrm{y}=0 .

13i \frac{1}{3} i  এর বর্গমূল কোনটি?

A particle A is in equilibrium under the following forces as shown below. Find the value of T.

Find the length of the latus rectum of the ellipse x216+y281=1 \frac{x^{2}}{16}+\frac{y^{2}}{81}=1 .

Refer to the following figure, find the tension in the cable AC.

Consider a curve C given by the equation, y=2x2−x+3 \mathrm{y}=2 \mathrm{x}^{2}-\mathrm{x}+3 Assume C crosses the y axis at the point P and the straight line L is normal to C C at point P P .Find the equation of the line L L .

A hyperbolic mirror is used in some telescopes. Such a mirror has the property that light ray directed at one focus will be reflected to th eother focus as shown in the figure will below. Which of the following equations models the hyperbolic mirror's surface ?

A ball hanging from a rope, is pulled to the right by a horizontal force F such that the rope makes an angle θ \theta with the ceiling, as shown in the figure. If w=5.0 N \mathrm{w}=5.0 \mathrm{~N} and θ=40∘ \theta=40^{\circ} , the values of tension T in the rope and the force F are:

A cubic polynomial in x x becomes zero at x=−3 x=-3 and x=4 x=4 , and it takes the values of 12 and -10 when x=1 x=1 and x=2 x=2 , respectively. Value of the polynomial at x=3 x=3 is-

If i i is a complex number, the value of i3n+i3n+1+i3n+2+i3n+3+i3n+4+i3n+6 \mathrm{i}^{3 \mathrm{n}}+\mathrm{i}^{3 \mathrm{n}+1}+\mathrm{i}^{3 \mathrm{n}+2}+\mathrm{i}^{3 \mathrm{n}+3}+\mathrm{i}^{3 \mathrm{n}+4}+\mathrm{i}^{3 \mathrm{n}+6} is?

If x=2+3cos⁡θx=2+3\cos\theta and y=1−3sin⁡θy=1-3\sin\theta represent a circle then the centre and radius is?

If sec⁡θ−tan⁡θ=23 \sec \theta-\tan \theta=\frac{2}{3} , then sin⁡θ \sin \theta equal to-

The domain and range of f(x)=x2+3x+2x−1 f(x)=\frac{\sqrt{x^{2}}+3 x+2}{x-1} are-

The minimum value of " m m "' for which the function f(x)=x2+mx+1 f(x)=x^{2}+m x+1 becomes an increasing function in the interval 3<x<5 3 < x < 5 is:

The unit vector perpendicular to the plane formed by the following vectors is:A⃗=2i^−3j^−k^;B⃗=i^+4j^−2k^ \vec{A}=2 \hat{i}-3 \hat{j}-\hat{k} ; \vec{B}=\hat{i}+4 \hat{j}-2 \hat{k}

In how many words will all the vowels be present if different words are formed from the letters of the word "CAMBRIDGE" taking 5 letters at a time?

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:

Suppose a golfer hits a ball with a velocity vms−1 \mathrm{v} \mathrm{ms}^{-1} at an angle of θ \theta to the horizontal. The golf ball is hit in the direction of a h m tree which is 80 m from the golfer. If v=45 ms−1 v=45 \mathrm{~ms}^{-1} and θ=20∘ \theta=20^{\circ} , for what value of h will the ball just pass over the tree?

Suppose you have thrown a ball upwards from the rooftop of IUT Academic Building 1 with a velocity of 4 m/s 4 \mathrm{~m} / \mathrm{s} at an angle of 60∘ 60^{\circ} with the horizontal line. The ball reaches the ground 10 meters away from the building. The height of the building is-

An ellipse having foci at (1,1) (1,1) and (−2,2) (-2,2) and passing through the origin has eccentricity of-

What is the minimum resultant of two concurrent forces whose maximum resultant value is 21 N when acting together and 15 N when they act at a right angle to each other?

If the one root of x3−5x2+17x−13=0 x^{3}-5 x^{2}+17 x-13=0 is 1 , find the other roots.

In the following figure, a motorcycle stuntman jumps horizontally from a point 1.25 m above the ground and lands 10 m from the jumping point [g=9.81 ms−2] \left[\mathrm{g}=9.81 \mathrm{~ms}^{-2}\right] . What was his velocity at the time of jump?

Earth's orbital radius around the sun is 1.5× 1.5 \times 1011 m 10^{11} \mathrm{~m} and rotational period is 3.14×107 s 3.14 \times 10^{7} \mathrm{~s} . What is earth's velocity?

If the differential equation of a particle in simple harmonic motion in SI units is 2 d2xdt2+32x=0 2 \frac{\mathrm{~d}^{2} x}{\mathrm{dt}^{2}}+32 x=0 , then what will be the angular frequency?

দুটি বাল্ব X ও Y একটি সরু নল দিয়ে যুক্ত। X বাল্বের আয়তন Y বাল্বের আয়তনের দ্বিগুণ। সিস্টেমটিতে একটি আদর্শ গ্যাস এমনভাবে পূর্ণ করা আছে যেন উভয় বাল্বের চাপ সমান থাকে। X বাল্বটিকে 200 K এবং Y বাল্বটিকে 400 K তাপমাত্রায় রাখা হলো। যদি X বাল্বের গ্যাসের ভর m m হয়, তবে Y বাল্বে গ্যাসের ভর কত?