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From A Group Of 7 Men And 4 Ladies A Committee Of 6 Persons Is Formed Then The Probability That The Committed Contains 2 Ladies Is

1) 5/13 2) 5/11 3) 4/11 4) 3/11 Solution: Option (2) 5/11 Total number of persons = 7+4= 11 The total number of cases that a... View Article

There Are 5 Letters And 5 Addressed Envelopes If The Letters Are Placed At Random The Probability That Exactly 3 Letters Are Placed In Right

1) 3/5 2) 1/6 3) 1/12 4) 1/3 Solution: Option (3) 1/12 Total number of ways = 5! = 120 The probability that exactly 3 letters are... View Article

Let A And B Be Two Finite Sets Having M And N Elements Respectively Such That M Lte N A Mapping Is Selected At Random From The Set Of All

1) n! /[(n-m)!mn] 2) n!/[(n-m)!nm] 3) m! /[(n-m)! nm] 4) m! / [(n-m)! Mn] Solution: Option (2) n!/[(n-m)!nm] Given that there are... View Article

Dialing A Telephone Number An Old Man Forgets The Last Two Digits Remembering Only That These Are Different Dialed At Random The Probability

1) 1/45 2) 1/90 3) 1/100 4) None of these Solution: Option (2) 1/90 Total number of digits = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} =10... View Article

Two Friends A And B Have An Equal Number Of Daughters There Are Three Cinema Tickets Which Are To Be Distributed Among The Daughters Of A

1) 4 2) 5 3) 6 4) 3 Solution: Option (4) 3 Let us assume that A and B each have x daughters. Thus, the probability that all the... View Article

Two Numbers A And B Are Chosen At Random From The Set Of First 30 Natural Numbers The Probability That A2 B2 Is Divisible By 3 Is

1) 9/87 2) 12/87 3) 15/87 4) 47/87 Solution: Option (4) 47/87 Given that, total numbers = 30 Out of which 2 numbers are chosen.... View Article

How Do You Find The Center Of A Circle Given Two Points

It is easy to find the center of a circle passing through two points. Let (x, y) be the center of the circle having radius r. If (a,b) and... View Article

Can There Be Two Absolute Maximums

Mostly there will be only one absolute maximum or absolute minimum value. But absolute maximum or absolute minimum can occur at more than one... View Article

What Is Vertical Tangent

A tangent line that is vertical is called vertical tangent. Mathematically, a function has a vertical tangent at x = a, if limh->0 [f(a+h) -... View Article

Which Equation Has Imaginary Roots

An equation which satisfies the imaginary roots. Let us take an example of quadratic equation, ax2 + bx + c = 0 Here D = b2 - 4ac This... View Article

How Do You Express Complex Numbers In Cartesian Form

In Cartesian form, complex numbers can be represented as z = a + ib, where a, b are real numbers and b not equal to zero. It would be written in... View Article

How Do You Find All Roots

In Mathematics, there are various methods to find the roots or solutions of a polynomial such as factor method, completing the square method,... View Article

How Do You Add Imaginary Numbers

To add two complex numbers, just add the corresponding real and imaginary parts. For example, z1 = 2 + 3i and z2 = 10 + iy Z1 + z2 = (2+10) + i... View Article

What Does Z Equal In Spherical Coordinates

When we convert a point from spherical coordinates to cylindrical coordinates. Formula for z spherical coordinate is ρcosϕ, where, ρ ≥ 0 and ϕ... View Article

Is Cartesian Form Same As Rectangular Form

Cartesian form and rectangular form are two different names for the same system. A complex number “z = a + bi” form is called cartesian form or... View Article

Is 5i A Real Number

No, 5i is not a real number. To know more on real numbers, subscribe BYJU’S - The Learning App.... View Article

What Are The Seventh Roots Of Unity

On the unit circle, there are seven seventh roots of unity. i.e. e^(2πki/7) at radius is equal to one. 2π/7, 4π/7, 6π/7, 8π/7, 10π/7, 12π/7 and... View Article

Does Ch3 Obey The Octet Rule

Yes. CH3 violates the octet rule. Also Read: Octet Rule Stay tuned with BYJU’S for more such interesting articles. Also, register to “BYJU’S... View Article

Is Mgfe2o4 Ferromagnetic

MgFe2O4 is a ferromagnetic material. To know more on ferromagnetic materials in a detailed way, subscribe BYJU’S – The Learning App.... View Article

What Happens When Ferrimagnetic Fe3o4 Is Heated At 850k

When ferrimagnetic Fe3O4 is heated at 850 K, it turns into paramagnetic. To know more on ferromagnetic materials in a detailed way, subscribe... View Article

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