   ### Saurabh S Male, 30 Years

Associated for 3 Years 2 Months
Class 11 - 12 Tutor

#### Activity Score - 170

• I teach at My Home
• Online
Location: Delhi, India
Qualification :
• M.Tech (NIT Durgapur - 2012)
• B.Tech/B.E. (National Institute of Technology - 2009)
• Total Experience:
1 Year
• Hourly Fees:
INR 1000
Tutoring Experience :

I am here to help the students develop core concepts and thinking in maths.Maths is my strongholds and I will help you develop critical thinking and analysis.I am graduate and post graduate from National Institute of Technology,India. I work at one of the maharatna PSU's.

Tutoring Option :
Home Tuition Only
Tutoring Approach :

The approach will be tailored according to student needs and level of grasping.

Teaches:
 Class 9 - 10 Mathematics Computer Science School level computer NTSE CBSE/ICSE INR 500 / Hour Class 11 - 12 Mathematics Statistics IT & Computer Subjects Algebra CBSE ICSE Local State Board INR 1000 / Hour College Level Mathematics Chhattisgarh Swami Vivekanand Technical University Bhilai INR 500 / Hour Test Preparation MAT INR 100 / Hour Class 6 - 8 Mathematics Computer Science School level computer NTSE CBSE/ICSE INR 500 / Hour Competitive Exams SSC Exams Insurance Exams Bank PO PSU Exam INR 1000 / Hour
• ## Question: From a well shuffled deck of 52 cards, one card is drawn. Plaese help me to find...

Posted in: Mathematics | Date: 17/11/2017

Hello Anu, Probability is a type of ratio where we compare how many times an outcome can occur compared to all possible outcomes. As per question, 1)In deck of cards there are 52 cards. There are 13 cards each of spades,hearts, diamond and clubs.Out of which there is one ace card from each spades,hearts, diamond and clubsStandard card decks usually have Hearts and Diamond in Red and Clubs and Spades in Black. 1)There are 4 ace cards out of 52 cards.This is our favorable event. p(ace)=no.of times a favorable event occurs/ Total no.of possible events. P(ace)=4/52=1/13 2)There are 26 red cards and rest are black. As per the definition P(not a red card)=no.of black cards/total no.of cards =26/52=1/2

• ## Question: Horse power is unit of

Posted in: Physics | Date: 17/11/2017

Power

• ## Question: In the given illustration, AC and BD are perpendicular to the line segment CD. I...

Posted in: Mathematics | Date: 17/11/2017

In geometry two triangles, △ABC and △A′B′C′, are similar if and only if corresponding angles have the same measure. It can be shown that two triangles having congruent angles (equiangular triangles) are similar, that is, the corresponding sides can be proved to be proportional. This is known as the AAA similarity theorem. If The triangles have two congruent angles, which in Euclidean geometry implies that all their angles are congruent. That is: If ∠BAC is equal in measure to ∠B′A′C′, and ∠ABC is equal in measure to ∠A′B′C′, then this implies that ∠ACB is equal in measure to ∠A′C′B′ and the triangles are similar. If the triangles are similar all the corresponding sides have lengths in the same ratio: AB / A′B′ = BC / B′C′ = AC / A′C′ . This is equivalent to saying that one triangle (or its mirror image) is an enlargement of the other. Now coming to the question. △COA~△DOB AAA axiom Hence AC/BD=OC/OD------1 Area(△COA)=1/2*base * height=1/2*OC*AC=60 On solving AC=24 cm From 1st equation, 24/BD=5/8 BD=192/5 cm AreaDOB=1/2*DO*BD=1/2*8*192/5=153.6 sq.cm

• ## Question:  A straight wire is cut in two equal halves. One half is bent in the shape ...

Posted in: Mathematics | Date: 20/11/2017

Let the length of straight wire be L units.

One half is bent in the shape of square i.e. perimeter of square = L/2 units.

Let each side of square be A units.

Then as per question,

4A=L/2

=>A=L/8

Area of square=A²=L²/64 sq.units;

Now,the other half of wire is bent into sector,

Length of sector,S =L/2

Let R be radius of the sector

Therefore ,Length of sector,S=R*π/3 units

=>R=3S/π,

=>R=3L/2π

Area of sector=1/2 R²Φ=1/2* length of arc *radius;

=>Area of sector=1/2 R²Φ=1/2*(9L²/4π²)*π/3 sq.unit

Area of sector=3L²/8π sq.unit

Area of square:Area of sector=L²/64:3L²/8π=11/84 sq.units

• ## Question: In the given diagram, PQ and RS intersect each other at point T. If RTQ = 90°...

Posted in: Mathematics | Date: 20/11/2017

Theorem:Angles in the same arc of a circle are equal.

In the above diagram,

∠PTR=∠STQ;

∠PRT=∠SQT(ByTheorem)

∠TPR=∠TSQ(ByTheorem)

In ∆STQ According to Pythagoras theorem, (ST)^2 = (SQ)^2-(TQ)^2 Or ST =√36-25 = √11

By AAA similarity theorem,

∆PTR~∆STQ

Hence,

TR/TQ =PT/ST=4/√11

TR=20/√11=6.03

Option c

• ## Question: In an isosceles triangle, the coordinates of the end points of the base are (8, ...

Posted in: Mathematics | Date: 20/11/2017

Let (x1,y1) be the one of the vertices of above Isosceles triangle.

As per question,

√{(x1-8)^2 + (y1-3)^2}=√{(x1-14)^2 + (y1-3^2}

=>√{(x1-8)^2={(x1-14)^2

=>x1=11;

Putting value of x1=11 in below eqn

√{(x1-8)^2 + (y1-3)^2}=5

on solving y1=-1 or 7

Hence there can be 2 possible coordinates for vetices of this triangle (11,-1) or(11,7)

As per question,

Distance between two possible vertices=√{(11-11)^2 + (-1-7)^2 =8

Option A is the correct answer

• ## Question: A point on the pole divides in a certain ratio. Both the parts subtend equal ang...

Posted in: Mathematics | Date: 20/11/2017

Let PR be the Pole.

As per the question,

∟DQR=∟PQD=30°

We have to find PD:DR

In r PQR

tan 60°= PR/QR=---------eqn1

In r QDR

tan 30°=DR/QR ------eqn2

From eqn2

QR= DR

From eqn1

(PD+DR)/QR=,

=>(PD+DR/) DR= DR,

=>PD=2DR, or PD/DR=1/2

• ## Question: Assume that the total surface area of a hollow cylinder which is open from both ...

Posted in: Mathematics | Date: 21/11/2017

As per question,

The given cylinder is hollow ,

Let r and h be radius of base and height of cylinder respectively.

Surface Area of hollow cylinder

=2π*r*h

=>2π*r*h=2500

finding r from above equation,

we get r=250/3π;

Now ,Volume of hollow cylinder =π*r² *h

=>π*r² *h=(π*r*h) *r

=>1250*(250/3π)

on solving we get volume of hollow cylinder=33144 cm3..which when rounded gives 33150.06 cm3

Option B is correct

• ## Question: Due to wind, a tree broke from a height and fell on the ground. Its upper top to...

Posted in: Mathematics | Date: 21/11/2017

In tri ABC,

height of actual tree=AC+BC=a+b

AB=c=6cm

tan60=b/c;

b=6√3 cm

cos60=c/a;

a=2c=12cm;

now,height of tree=12+6√3 cm=22.39cm

None of the options are correct

• ## Question: The angles of elevations of a tower PQ from two points on the ground A and B are...

Posted in: Mathematics | Date: 21/11/2017

Consider Image uploaded for the full explanation

• ## Question: A vertical building and a tower are on the same ground level. From the top of th...

Posted in: Mathematics | Date: 21/11/2017

In triangleTQR,

tan 60=QR/QT,

QR/QT=√3,

QT=10√3

tan 45=PQ/QT

=>PQ=QT

Height of Tower=PQ+QR=PR

=>30+10√3

=>47.32

Option C is correct

• ## Question: A pole of length ‘L’, leaning on the wall makes an angle x. When the...

Posted in: Mathematics | Date: 21/11/2017

In Triangle PSR,

sinx=PR/PS=PR/L

=>PR=LSinx;

In Triangle QTR,

Siny=QR/RT=(QP+PR)/L

LSiny=a+LSinx;

=>L=a/(Siny-Sinx)

• ## Question: The money to be spent for the welfare of the employees of a firm is proportional...

Posted in: Mathematics | Date: 05/12/2017

Rate of change of total revenue==Marginal value=d(total revenue)/dx=d(R(x))/dx=6x+36

when x=5,marginal value=6x5+36=Rs.66

you can see that

when x=5,total revenue=R(x)=3x²+36x+5=Rs.260

• ## Question: If ar = iˆ – jˆ + 7kˆ and b r = 5iˆ – jˆ + λkˆ , then find the value ...

Posted in: Mathematics | Date: 05/12/2017

Two vectors are perpendicular then their dot product is 0.

i.e. if a nd b are vectors and they are perpinducular to each other ,Ω=90 then a.b=a . b cos(Ω)=0

As per question

ar = iˆ – jˆ + 7kˆ and b r = 5iˆ – jˆ + λkˆ

ar +br=6iˆ-2jˆ +(7+λ)kˆ-------vector1

ar-br=-4iˆ+(7-λ)kˆ -----vector2

Now As per question

(ar +br) . (ar-br)=0

=>  λ²=25

=>λ=±5

• ## Question: What percent of the average sales of branches B1, B2 and B3 in 2001 is the avera...

Posted in: Mathematics | Date: 05/12/2017

Data (or graph) on sales of the branches missing. The problem cannot be answered

• ## Question: The average age of husband, wife and their child 3 years ago was 27 years and th...

Posted in: Bank PO | Date: 05/12/2017

Let x ,y,z be the age of husband,wife,child three years ago.

As per question,

(x+y+z)/3=27--1

x+y+z=81;

((y-2) +(z-2))/2=20

y+z=44--2

putting eqn 2in eqn 1

we get x=37;

Hence present age of husband=x+3=37+3=40

• ## Question: A rectangular courty 3.78 metres long and 5.25 metres wide is to be paved exactl...

Posted in: Bank PO | Date: 05/12/2017

area of court=3.78*5.25=1109;

let a be the side of square tiles and let there be n square tiles that are required to pave;

as per question,

n x a² =1109;

2 variables and only one equation.

option D is correct