IUT ইসলামিক ইউনিভার্সিটি অব টেকনোলজি ভর্তি পরীক্ষা ২০১৮-২০১৯

Though science is often imagined as a __ exploration of external reality, scientists are no different from anyone else; they are___ human beings enmeshed in a web of personal and social circumstances.

Best-effort, non-official answer: The original information or answer is uncertain or incomplete. The displayed answer is provisional; verify it before relying on it.

Rather than enhancing a country's security, the successful development of nuclear weapons could serve at first to increase that country's___.

Even though Human being ____ in Certain aspects, fundamentally they are similar.

The renowned author's ____ disposition reflects his passion for life.

The word "expose” means-

The bold word "Pronounced" in the last paragraph means -

The synonym of Subversive

Which is more appropriate with the word “Beatific smile”?

Inimical to any form of life

Rustic charm

Numerous idiosyncrasies

In ΔABC, a= 2b and ∠A=3θ , what is the value of θ ?

If f(x) = sinx then what is the value of lim⁡x→0f(x2)x=? \lim_{x \rightarrow 0} \frac{f{\left ( x^{2} \right )}}{x} = ?

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

For what value of K will the three lines x-y+5=0, x+y=0, and Kx-y+13=0 be concurrent?[M-1.3, IUT : 2018-19]

If y=3x-4 is a tangent and touches the circle at P(2,2). Q is the center of the circle then slope of diameter directed towards P is-

If the order of the matrices A,B and C are 4x5,5x4 and 5x2, respectively, what will be the order of matrix of (BT+A)C ?

If three roots of f(x)=0 are 1,-1,2 the roots f(2x)=0 are-

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

5y= x+50 is the tangent of y2= 4ax, then the focus of the parabola is-

A balance is formed at the point C due to actions of T₁, T₂ and W= 10kg weight. Tension T₁=?

Which one is correct for the partial fractions of 5(x−1)(3x+2)? \frac{5}{\left ( x - 1 \right ) \left ( 3 x + 2 \right )} ?

Find ln(r), where  r=3V4π3 r = \sqrt[3]{\frac{3 V}{4 π}}

The area bounded by the curves y = 2 − x2y\ =\ 2\ -\ x^2 and y=x is?

In the following figure, the curve C has the parametric equations-x=4cos (t+π/6),y=2sint, 0≤t≤2π.Find x+y

Two forces 2p and p are acting on a body. If the First force is doubled and second force is increased by 8 unit, then the direction of the resultant remains unchanged. What is the value of p?

The role of volume increase of a spherical ball is how many times to that of its radius?

যদি A=R-{3}, B=R- {1} এবং f:A→ B ফাংশনটি   f(x)=x−2x−3 f{\left ( x \right )} = \frac{x - 2}{x - 3}   দ্বারা সংজ্ঞায়িত হয়, তবে f-1(0) এর মান কত ?

The current, 1 amps, in an electric circuit at time t seconds is given by I=16-16(0.5)t, t≥0 What is the value of dI/dt when t = 3?

Alal and Dulal shopped at the same store. Alal bought 5kg of apples and 2kg of bananas and paid altogether BDT22. Dulal bought 4kg of apples and 6kg of bananas and paid together BDT 33. Find the cost of 1kg of bananas.

(2-i) is a solution of x² - 4x + k = 0. Find the value of k.

The following figure shows a right circular cylinder metal rod which is expanding as it is heated. After t seconds the radius of the rod is x cm and the length of the rod is 5x cm. The cross-sectional area of the rod is increasing at the constant rate of 0.032 cm²s-¹. Find dx/dt when the radius of the rod is 2 cm.

For what value of r, the co-efficient of the terms (r+1)th and (+2)th will be equal in the expansion of (2x2+3x)19? \left ( 2 x^{2} + \frac{3}{x} \right )^{19} ?

If ab=|a|x|b|, which of the following must be true?a=ba>b and b>0ab>0

If a 3 digit number formed by 1, 0, 2 is selected at random then what is the probability of the number being divisible by 10 (without replacement)?

Relative to a fixed origin 0, the point A has position vector   i^−3j^+2k^ \hat{i} - 3 \hat{j} + 2 \hat{k} and the point B has position vector  −2i^+2j^−k^ - 2 \hat{i} + 2 \hat{j} - \hat{k} The points A and B lie on a straight-line 1. The point C has position vector  2i^+pj^−4k^ 2 \hat{i} + p \hat{j} - 4 \hat{k}  with respect to O, where p is a constant. Given that AC is erpendicular to 1. Find the value of p.

Which one is correct for the inequality 3≤-6-5x≤ 12

An encyclopedia has eight volumes. In how many ways can the eight volumes be replaced on the shelf?

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 password consists of two letters of the alphabet followed by three digits chosen from 0 to 9. Repeats are allowed. How many different possible passwords are there?

Abdul Hakim is the Chairman of a committee. In how many ways can a committee of 5 be chosen from 10 people given that Abdul Hakim must be one of them?

Sum of the following series up to infinity is: 0.5+0.05+0.005+....

Two equal forces acting at a point at 60o are balanced by a force 9N acting on the same point. Value of each of the equal forces-

In figure OABC is a rhombus 
What is the value of F?

What is the initial velocity of the projectile body?

Along a straight horizontal road, a truck of mass 1800 kg travels. The truck's engine is working at a constant rate of 30 kW. When the truck's speed is 20 ms-1 its acceleration is 0.4 ms-2. The magnitude of the resistance to the motion of the truck is R newtons. Find the value of R.

A ball is thrown from a point O, which is 6m above horizontal ground. The ball is projectd with speed u ms-1 at an angle θ above the horizontal. There is a thin vertical post which is 4m high and 8m horizontally away from the vertical through O, as shown in following figure. The ball passes just above the top of the post 2s after projection. Find the value of tanθ.

The half life of a first order reaction is 28 sec. In how many seconds will the concentration of the reactant be reduced to one eight of the initial value?

A block of mass 3kg slides down a frictioniess inclined plane of length 6m and height 4m. If the block is released from rest at the top of the inclined plane, what is its speed when it reaches the bottom?

A satellite is currently orbiting Earth in a circular orbit of radius R with velocity, v1. It's kinetic energy is K₁. If the satellite is moved and enters into a new circular orbit of radius 2R and moving with the same speed, what will be its kinetic energy?

A student measures the maximum speed of a block undergoing simple harmonic oscillations of amplitude A on the end of an ideal spring. If the block is replaced by one with twice the mass but the amplitude of its oscillations remains the same, then the maximum speed of the block will-