IUT 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-

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

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   [aba1b1][3−5−12]=[1−120], \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=[012123311] 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  ΔABC? \Delta A B C ?

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

∫xx(1+ln⁡x)dx=?\int x^{x}(1+\ln x) d x = ?

lim⁡x→01−cos⁡xsin⁡22x\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?

∣1+xx2321257∣=0,x=? \begin{vmatrix} 1+x & x & 2 \ 3 & 2 & 1 \ 2 & 5 & 7 \end{vmatrix} = 0, x = ?

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

cos²x + cos²(X+π/3) + cos²(x-π/3) = ?

NoIn the following circle what is the length of RS?

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.

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:-

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 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:

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

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.

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?

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

For what values of 'k', the equation x2+2(k−4)x+2k=0x^{2} + 2(k - 4) x + 2k = 0 has equal roots?

The coordinate of a particle in meters is given by x(t)= 16t−3.0t3, 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.

Find the term independent of x in the expansion of   (32x2−13x)6 \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?

The half life period for a first order reaction is 15 hours. How much reactant will remain unreacted at the end of 50 hours?

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?

In compton scattering from stationary electrons the largest charge in wave length occurs when the photon is scattered through

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   7.0×106ms 7.0 × 10^{6} \frac{m}{s} to the left and a neutron moving with velocity   4.0×106ms 4.0 × 10^{6} \frac{m}{s} to the right?(proton mass =1.67×10-27 kg)