Islamic University of Technology ইসলামিক ইউনিভার্সিটি অব টেকনোলজি ভর্তি পরীক্ষা ২০১৭-২০১৮

Chose the word or phrase which is most nearly opposite of the meaning of the given word. [question 91-95]Turbulence

Choose the synonym of “Equivocal”-

Which one is the antonym of ‘Guile'?

Voracious synonym-

Choose the synonym of ”Acrimony”-

Chose the word or phrase which is most nearly similar of the meaning of the given word. [question 96-100]
“Auspicious”-

Vociferous

Dogmatic

Poignant

The synonym of the word ‘Galvanize’ is-

AI-সহায়তায় পুনর্গঠিত অনুশীলন — এটি মূল প্রশ্নপত্রের অবিকল প্রশ্ন নয়।

ঘোষিত অনুমান/সংশোধন: চিত্র অনুপস্থিত; b-কে জ্যামিতিক রাশি ধরে বিষয় গণিত হিসেবে AI অনুমিত, কোনো মান অনুমান করা হয়নি।

বিষয়বিভাগ: গণিত। ম্যানুয়াল পর্যালোচনা/বিষয়বস্তুর ভিত্তিতে AI-নির্ধারিত বিষয়বিভাগ; উৎসের প্রতিষ্ঠান বা পরীক্ষার বছর পরিবর্তন করা হয়নি।

মূল উৎসের প্রশ্ন:

In the figure below what is the value of b?

এই অনুশীলনের নির্দেশনা: উপলব্ধ তথ্য দিয়েই b-এর নির্দিষ্ট মান নিশ্চিত করা যায় কি না নির্বাচন কর।

If $\left [ \begin{matrix} a & b \\ a_{1} & b_{1} \end{matrix} \right ] \left [ \begin{matrix} 3 & - 5 \\ - 1 & 2 \end{matrix} \right ] = \left [ \begin{matrix} 1 & - 1 \\ 2 & 0 \end{matrix} \right ]$,   then the values of a and b are ?

If $A = \left [ \begin{matrix} 0 & 1 & 2 \\ 1 & 2 & 3 \\ 3 & 1 & 1 \end{matrix} \right ]$   and B = A-1, then b23 =?

What is the perimeter of $\Delta A B C$?

$\int x^{x}(1+\ln x) d x$ = ?

$\lim_{x \to 0} \frac{1 - \cos x}{\sin^2 2x}$ - এর মান কোনটি?

For what values of K, 3x - 4y = k will touch x2 + y2 - 8x =0?

∣$\begin{vmatrix} 1+x & x & 2 \\ 3 & 2 & 1 \\ 2 & 5 & 7 \end{vmatrix} = 0, x$ = ?

cos²x + cos²(X+π/3) + cos²(x-π/3) = ?

NoIn the following circle what is the length of RS?

In the following circle the area is Kπ what is the value of K?

A equation of a straight line having slope m and x- intercepted b is:-

A circular garden is bounded by East avenue and diagonal road as shown in the figure given below.Diagonal road intersects North Street at C and East avenue at D.Diagonal Road is tangential to the circular garden at B find the equation of the diagonal road.

When x = 1, the function x³-3x²+7 = 0 is:

The figure given below shows triangle AOC inscribed in the region cut from the parabola y = x² by the line y=a² find the limit of the ratio if the area of the triangle to the area of the parabolic region as approaches zero.

What is the minimum value of x²-2x+5 =?

The coordinate of a particle in meters is given by x(t)= $16 t - 3.0 t^{3}$, where the time t is inseconds.what is the value of t when the particle is momentarily at rest.

If i2 = - 1 then $\sqrt{8 + 6 i}$ = ?

From the figure below,  equation of the parabola is --

(1 + w +w²) × (w + w² +1 )+ ( w² +1+ w) = ?

Find the area of the triangle whose vertices are the origin and focii of the ellipse 16(x-2)² + 25(y-3)² = 400.

If  two roots of the equation x² + bx + a = 0 are equal and one root of the equation x²+ax+8=0 is 4. The value of b will be:-

A rod AB of length 15 cm rests in between to coordinate axis in such a way that the end point a lies on x-axis and end point B lies on y-axis A point P(x,y) is taken on the rod in such a way that AP = 6cm if the rod moves with its end always touching the coordinate axis find the equation of the locus of the point P

A small wall from electrode device at O is ejected in such a way that he is past is through small aperture at A and strikes the contact point at B as shown in the figure below.the coordinates of A and B are (2,2) and (3,1) respectively if the player controls the angel θ and velocity v, then the value of θ that gives him a success is:-

For what Values of a, roots of ax²+3x+4 = 0 will be complex?

For what values of 'k', the equation $x^{2} + 2(k - 4) x + 2k = 0$ has equal roots?

Find the term independent of x in the expansion of $\left ( \frac{3}{2} x^{2} - \frac{1}{3 x} \right )^{6}$

Find the sum to infinity of the following series, 3/(2)(4) - 5/(4)(6) + 7/(6)(8) - .....

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

There are 10 blue and 15 red marvels in a box a boy pics up to marvels random one by one the probability of both being of the same colour is:-

There are 100 people on a line.Shawon is the 37th person and Naomi is the 67th person.if a person online is choose an at random what is the probability that the person is standing between Shawon and Naomi?

What is the total number of terms of (x+3y+5z)²⁰?

An aeroplane is headed due north with a speed of 240 km/hr. If there is a wind speed of 100 km/hr from west to east, a) what is the direction of the airplane relative to the earth?

An elevator is accelerated upword at 2 ms-2 If the elevator weighs 500kg,what is the tension in the supporting cable?(g=9.8 ms-2)

A force of 100N is required to stretch  is steel wire 2.00 mm2 in cross sectional area and 2.0 long a distance of 0.50 mm.How much work is done?

A car is being driven on a road having two distance circular bends B1 & B2 of radius R and 3R respectively. If S1 is the speed of the car and bend B1 and S2 is the speed at the bend B2  what should the ratio. S1/S2 be so that the centripetal forces at the both bands are equal?

In a spring balance  the length of the spring  is 20cm which can read from 0 to 60N.Find the potential energy of the spring  when it reads 40 N.

A proton collides with a neutron (mass almost identical to the proton) to form a deutron. What will be the velocity of the deutron if it is formed  from a proton moving with velocity $7.0 × 10^{6} \frac{m}{s}$ to the left and a neutron moving with velocity $4.0 × 10^{6} \frac{m}{s}$ to the right?(proton mass =1.67×10-27 kg)

A 25 N block is held at rest on a frictionless incline by a force that is parallel  to the incline. If the incline is 25° above the horizontal the magnitude of the applied force is:

The weight of an object on the Moon is one sixth of its weight on Earth. The ratio of the kinetic energy of a body on Earth moving with speed V to that of same body moving with speed V on the Moon is: