Explore topic-wise InterviewSolutions in Current Affairs.

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1.

21 A lawn is 70 m long and 85 m broad. Apath of 10 m wide is to be built around it.Find the area of the path

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Area of lawn = 70* 85 as length= 70m and breadth = 85mas it is a rectangle area will be 5950 m^2After path is around rectangleso new Length 70+(2*10)= 90 mand new width= 85+(2*10)= 105marea of rectangle with path = 90*105= 9450m^2= (length*breadth)So area of path = 9450-5950= 3500 m ^2

2.

48 ett 2A-38-4Cg.dt A: B : Cqt Teq ëĽŃ–

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compare all 3 terms with constant kso 2A=3B=4C=kso A=k/2, B=k/3, C=k/4so A:B:C=k/2:k/3:k/4=6:4:3

3.

A lawn is 70 m long and 85 m broad. Apath of 10 m wide is to be built around it.Find the area of the path.21

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Area of lawn = 70* 85 as it is a rectangle 5950 m^2After path is around rectangleso new Length 70+(2*10)= 90 mand new width= 85+(2*10)= 105marea of rectangle with path = 90*105= 9450m^2So area of path = 9450-5950= 3500 m ^2

4.

= sin 0. +sin B cos 0.cosP८05901+sina.sinf तो सिद्ध करें कि 1+ sinc.sinfE. 1 9. fg sinb=

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5.

35.3.Fg 93

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6.

The perimeter of a rectangular board is 70 cmTaking its length as x cm, find its width interms of xIf the area of the rectangular board is 300 cm2find its dimensions.

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7.

=to7+8LE all tlab=ott thl= 07+h892018 tlod

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207+840=1047.584+20 = 604.147+170=317.1921+110=2031.78+207=285.

207+840=1047584+20=604147+170=3171921+110=203178+207=285

207+840=1047584+20=604147+170=3171921+110=203178+207=285

8.

Find atleast 5 numbers betweenand

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So 5 number will be0.210.220.230.250.26

9.

L.Find atleast 5 numbers between and

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To find 5 numbers between 1/2 and 1/3

Denominator of both fraction should be same

1/2 = 1*15/2*30 = 30/601/3 = 1*20/3*20 = 20/60

Now five rational numbers between 20/60 and 30/60 are21/60, 22/60, 23/60, 24/60, 25/60

10.

-log(14, 10) %2B 2*log(7, 10)

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0.54406804435 is the answer

11.

A number when divided by 61 gives 27 as quotient and 32 as reminder. Findthenumberoo

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12.

A number when devided by 61 gives 27 as quotient and 32 as remainder find the numder

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13.

2. A number when divided by 61 gives 27 as quotient and 32 as remainder.Find the number.

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14.

2 A number when divided by 61 gives 27 as quotient and 32 as lemanue.Find the number

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15.

1.A number when divided by 61 gives 27 as quotient and 32 as reminder. Find the number.

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16.

Add the following195a +4b+36) 30-3b-20 - 2a+sb-8c

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5a+4b+3c+3a-3b-2c-2a+5b-8c=6a+6b-7c answer

5a+4b+3c+3a-3b-2c-2a+5b-8c=6a+6b-7c answer

6a+6b-7c is the correct answer of the given question

answer to this question is (6a+6b-7c)

=6a+6b-7cis the best answer

5a+4b+3c+3a-3b-2c-2a+5b-8c=6a+6b-7c

17.

15. In Fig. 41, if 3-61 and 27-118 Is mlFg 41

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angle 6 + angle 7 = 180° angle 6 = 180° - 118° = 62° if m||n then angle 3 = angle 6 ( Alternate angle)As angle 6 is not equal to angle 3 here so m is not parallel to n

18.

What is the common difference of an AP in which a21-a7 84?2

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Let common difference be d and first term be a So, given

a(21) - a(7) = 84

a + 20d - ( a + 6d ) = 84

20d - 6d = 84

14d = 84

d = 6

For AP nth terman = a1 + (n-1)d

Then, a21 = a1 + 20da7 = a1 + 6d

Given, a11 - a7 = 84(a1 + 20d) - (a1 + 6d) = 8414d = 84d = 84/14 = 6

Common difference = 6

19.

Find the number of all onto functions from the set (1, 2, 3,. n

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20.

“5507 30९+0087 45*- 4 का * 30%2 sin 30° cos 30° + tan 43°

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like my answer if you find it useful

21.

12 60° — 2cosec? 60° — 43* tan? 30°(iv) 3*4 cot? 30°

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hit like if you find it useful

22.

the population of Bhopal is 30, 43, 200 round in laks

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thirty lakh fourth three thousand two hundred

thirty lakh forty thousand two hundred is the correct answer of the given question

Thirty lakh fourth three thousand two hundred is the answer of the following question

Thirty lakh fourty three thousands two hundred ,,,is answer this question

thirty lakhs fourty three thousand and two hundred

Thirty lakh forty thousand two hundred is the correct answer of the given question

23.

43.In Δ RST, <S = 90°, < T = 30°, RT = 12 cm then find RS and ST.

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answer

24.

A bird is sitting on the top of a tree, which is 80 m high. The angle of elevation of tground is 459. The bird flies away from the point of observation horizontally and rem a2seconds, the angle of elevation of the bird from the point of observation becomes 300mains at a constant height. Afteres 30°. Find the speed of flyingof the bird.

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25.

(Show that): \frac{\cos 60^{\circ}+\cot 45^{\circ}-\sec 30^{\circ}}{\csc 60^{\circ}+\sin 30^{\circ}+\tan 45^{\circ}}=\frac{43-24 \sqrt{3}}{11}

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Thank u

26.

3 Abird is sitting on the top of a 80 m high tree. From a point on the ground, the angle of elevation ofa bird is45 The bird flies away from the point of observation horizontally and remains at a constant'height. Afier 2seconds, the angle of elevation of the bird from the point of observation becomes 30. Find the speed of flying4of the bird. (Use 3 1.7)

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In triangle OAC tan 45=AC/OA=1

AC=OA=80

IN TRIANGLE ODB

tan 30=BD/OB=1/√ 3

OB=BD√ 3-AC√ 3(since ac=bd as bird remains constant height)

AB=OB-OA=AC√ 3-AC=AC(√ 3-1)=80(√ 3-1)

NOW FOR 2 SEC

80(√ 3-1)/2=40(√ 3-1)

=29.2M/SEC

27.

Solve for n:3n +7-25

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3n+7=253n=25-73n=18n=18/3=6

28.

23. There are 4 children in a family. The twoOTSoldest children are twins. The mean of the 4children's ages is 14.25 years, the median is15.5 years and the mode is 16 years. Use thisinformation to work out the ages of the 4 children.

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Given,Mean = 14.25Median = 15.5Mode = 16

As mode is 16 so age of twins is 16

Let, age of other two children are x and yIn ascending order ages are x, y, 16, 16

Then,Median = ( y + 16)/215.5 = (y + 16)/231 = y + 16y = 31 - 16 = 15

Mean = (x + y + 16 + 16)/414.25*4 = x + 15 + 32x = 57 - 47x = 10

Therefore ages of four children are 10, 15, 16, 16

29.

In a family of 3 children, find the probability of having atleast one boy.oio2009 (D.E.

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30.

s Divide the number 84 onto Juo Pardo such that the productof one pard and the square of the Other is maximum.Let the two parts be s and 84-2

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31.

Divide the water and theDivide the number 84 Onto duro parte such that the produsof one Poud and the square of the Other is maximum.Let the two paudas be o anel 84-2

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Let the two parts be x and y.x+y = 84⇒ y = (84-x)

You need to maximise the product of "one part" and "the square of other"Let one part = (84-x)square ofother part = (x)² = x²product, p = x²×(84-x) = 84x² - x³

dp/dx = 0d/dx(84x² - x³) = 084*2x - 3x² = 03x(56 - x) = 0x = 0, 56

For maximum,d^2 p/dx^2 < 0d^2 (84x² - x³)/dx = d/dx(168x - 3x²)= 168 - 6x

at x = 0168 - 6x = 168 - 0 = 168 > 0

at x = 56168 - 6x = 168 - 6*56 = - 168 <0

So x=56,y = 84 - x = 84 - 56 = 28

So the two parts are (28,56)

32.

715Thevalue ofis equal to÷7 5 29 1042848490(A)을 (B)(C)(D)55 1155535

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Explanation : (7/15)/(7/9 + 5/10) ÷ 1/2 = (7/15)/((70+45)/90) ÷ 1/2 = (7/15)/(115/90) ÷ 1/2 = (7×6)/115 × 2 = 84/115

Answer : 84/115

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33.

A body at rest break up into three parts. If two parts having equalmasses fly off perpendicularly to each other with a velocity of 19m/sec, then calculate the velocity of the third part which has a mass 3times the mass of each part.

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34.

() 3, 7, 9The hypotenuse of a right angled triangle is 25 cm. If one of the remaining two sides is 15 cm, find thelength of its third side.1),24, 2510 m due past and then 24 m due north. How far is he from the starting point?

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35.

rehttps student.masteryconnect.comWhich polynomial expresses the product 6 (52? + 4z - 14)?3023 +24:2 - 84:302+242 - 143022 +243 - 84:30:+43-14

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1st is correct answer

1st is the correct answer of this question

1st is correct answer

1st is the correct answer

1st is the correct answer

36.

Find the smallest mumber by which 3645 must be multiplied to geind the smallest nu

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3645 = 3*3*3*3*3*3*5

=(3*3)*(3*3)*(3*3)*55 is alone here

to make 3645 perfect square we multiply with 5

3645*5 = (3*3)*(3*3)*(3*3)*(5*5)

=(3*3*3*5)^2=(135)^2

37.

Problems1) Evaluate the following linm1-cosa

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38.

total surface area of a cube is equal to total surface area of a sphere then what is the ratio between their volumes

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39.

ve the following problems:5. Solven The sum of a natural number and its squareis 42. Find the number.

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Let x = the number Then, x + x2 = 42. So, x2 + x - 42 = 0 (x + 7)(x - 6) = 0 x = -7 or x = 6

40.

A cubical box with lid has a length of 30 cm. Find the cost of painting the hidsand outside of the box at 5.50 per m2

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We have to find the surface area of the cubical box.

Surface area of the cube = 6a² where a = 30 cm

⇒ 6*30*30

⇒ 5400 sq cm

As the cubical box has to be painted both from the outside and inside.

So, the total surface area = Inner surface area + outer surface area

⇒ 5400 + 5400

= 10800 sq cm

As we know that 1 sq m = 10000 sq cm

Surface area in sq m = 10800/10000

Surface area in sq m = 1.08 sq m

Cost of painting the cubical box = Rs. 5.50 per sq m

Total cost of painting = 5.5*1.08

Total cost = Rs. 5.94

So, the total cost of painting the cubical box from outside and inside is 5.94

41.

8. The number of children in 10 families of a localityare:2, 4, 3, 4, 2, 0,3,5, 1,1,5. Find the mean number ofchildren per family

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42.

(10) 4203/(Set : B)21. वृत्त का क्षेत्रफल क्या है, जिसकी परिधि, 11 cm भुजा के एक वर्गके परिमाप के बराबर है ?।What is area of circle, the circumference ofwhich is equal to the perimeter of a square ofside 11 cm?

Answer»

Given,Side of Square = 11 cm

Perimeter of Square Ps= 4*side= 4*11 = 44 cm

Let radius of circle be r

Then,Circumference of circle C = 2*pi*r

As per given conditionC = Ps2*pi*r = 442*22/7*r = 44r = 7 cmm

Area of circle = pi*r*r= 22/7 * 7 *7= 154 cm^2

43.

The number of children in 10 families of a locality are:2, 4,3,4, 2,0,3,5, 1, 6.

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44.

gth of the EXERLI1.Find the volume of a cubical box of side 11 cm.the volume of cuboid me

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Volume of cube = (side)³Volume of cube = (11 cm)³ = 1331 cm³

45.

Find the area of a circle whose circumferenceis same as perimeter of square of side 11 cm.

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46.

An isosceles triangle with equal sides 11 cm each and third side 9 cm.

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47.

Find the value of 2/5 when 5 2.236

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It will be after the rationalization√5/2√5*√5√5/102.236/100.2236AnswerPlease like the solution 👍 ✔️

48.

04 w hen nu nihcrs/literals are added or subtracted, they are called.

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Literal numbersare the letters which are used to represent anumber. Theliteral numbersare also known as literals.Literal numbersobey all the rules of addition, subtraction, multiplication and division ofnumbers. Thus, a + b means b is added to a

49.

A cube and a sphere has equal total surface arca. Find the ratio of the volume of sphere and cube.

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50.

AhuBerisperfectsquare(iv)A prime number less than 20t of the families having three children, a family is chosen random. Find the probability that the family h(i) Exactly one girl(ii) At least one girl(iii) At most one girl

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A family has 3 ChildrenThus total members in the family = 5

Thus

Probability that family has exactly one girlP = 1/5

Probability that it has At least one girlP = 3/5

Probability that it has utmost girlP = 0