Explore topic-wise InterviewSolutions in Current Affairs.

This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.

1.

1. Construct a quadrilateral ABCD in which AB = 4.4cm, BC = 4cm, CD = 6.4cm,DA = 2.8cm and BD = 6.6cm

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2.

Fnd the length of the diagonal of a rectanglewith sides 8 cm and 6 cm.

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3.

EXERCISE 1.1Q.1 A) Determine which of the following pairsof angles are co-terminal.i) 210°, -150° ii) 360°, -30°iii) -180°, 540° iv) -405°, 675°v) 860°, 580° vi) 900°, -900°

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1) 210-(-150)=1(360) which are multiple of 360so 210,(-150) are co terminals

2) 360-(-30)=390=3(130)which are notmultiple of 360so 360(-30) are not co terminal angles

1) i) 210-150=210-(-150)=210+150=360, so, 210, (-150) are co terminals;

1)¡) 210-150=210-(-150)=210+150=360, so,210,(-150) are co terminals

4.

+ (NCERT90°30°e x, y and z are the exterior a+ z = 360°900 + x= 1 800x=90°z +30° 180°

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5.

9. The price of a muffin increases fromRs 4 to Rs 5. What is the percentage increase?

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Increase of cost 5-4 = 1% of increase = 1/4 × 100 = 25%

6.

8.Twostraightpathsarerepresentedby the equations x-3y 2 and 6y -2x 5. Checkwhether the paths cross each other or not.

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7.

1. Construct a quadrilateral ABCD in which:(a) AB = 4.2 cm, BC = 4.8 cm, CD = 6.3 cm, DA = 3.1 cm, BD = 6.7 cm

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8.

Construct a quadrilateral ABCD in which AB 4.5 cm, BC 4cm, CD 6.5cm, DA 3cm and BD 6.5 cm.

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9.

The parallel sides of a trapezium are 20 cm and30 m and its non-parallel sieles avend the area of the trapezium

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Let ABCD be the trapezium in which AB is parallel to DC.

Let AB = 30cm, DC=20 cm,and the non parallel sides AD =6cm and BC = 8cm.

Draw perpendiculars DE and CF from D and C to AB respectively. So DE = CF. DC=EF = 20cm.

Let AE = x cm . Then BF = 10-x.

In right triangle ADE DE^2 = AD^2 - AE^2

In right triangle BCF , CF^2 = BC^2 - BF^2

=> AD^2-AE^2 = BC^2-BF^2

=> 36-x^2 = 64 -(10-x)^2 => 20x = 72 => x=3.6

So DE^2 = 36 - 3.6^2 = 36 - 12.96 =23.04

So DE =√23.04 = 4.8 cm

So area of trapezium = (1/2)h(a+b)

= (1/2)×4.8×(30+20) = 2.4×50 =120cm²

Like my answer if you find it useful!

10.

4. On one day a rickshaw puller earned 160. Out of his earnings he spent 26 on tesnacks, 50 on food and 16 on repairs of the rickshaw. How much did he sayeonday?

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Total earnings = 160Total expenses= 26 3/5 + 50 1/2 + 16 2/5= 133/5 + 101/2 + 82/5= 215/5 + 101/2= 43 + 101/2= (86 + 101)/2= 187/2 = 93.5

Total savings= 160 - 93.5= Rs 66.5

11.

From the top of a hill, the angles of depression of two consecutivekilometre stones due east are found to be 45° and 30° respectivelyFind the height of the hill.CBSE 2017]

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12.

From the top of a tower, the angle of depression of two consecutive kilometre stones,due east are found to be 30° and 45°. Find the distance of the nearer stone from thefoot of the tower.

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13.

51. A sailor goes 8 km downstream in 40 minand comes back in 1 h. Find the speed ofsailor in still water and the speed ofCBSE 2010current.

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Let the speed of sailor in still water is x km/hr and the speed of stream is y km/hr.

Now, the speed of boat (upstream) = (x - y) km/hr

and the speed of boat (downstream) = (x + y) km/hr

Now, according to question,

8/(x + y) = 40/60 {Since time = distance/speed}

=> 8/(x + y) = 4/6

=> 4(x + y) = 8*6

=> 4(x + y) = 48

=> x + y = 48/4

=> x + y = 12 ................1

Again, 8/(x - y) = 1

x - y = 8 ...............2

Add equation 1 and 2, we get

2x = 20

=> x = 20/2

=> x = 10

From equation 1, we get

10 + y = 12

=> y = 12 - 10

=> y = 2

Hence, the speed of sailor in still water is 10 km/hr and the speed of stream is 2 km/hr

Thank u so much

14.

Prove that the ratio of areas of two similar triangls is equal to thesquare of the ratio of their arresponding sides.

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15.

EXERCISE 4.3is a student of class IV and his school is 2052 m away trom his hmss to his school and comes back home daily. How muhtetoHow much dstance does hecover daily?

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2052 metre awayhenceto come back he has to cover same distancehence2*2052=4104metres.

Thank u

16.

Construct a quadrilateral ABCD, in which AB 1.2 cm, BC 1.8 cm, CD 1.8 cm and AD1.3 cm. Construct another quadrilateral AB' C'D', with diagonal AC" 3 cm, such that it issimilar to quadrilateral ABCD.4

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17.

Fill in the blanksThe National Congress was formed in____(1785 /1885)

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Indian national congress was formed on 1885.

18.

15. Find the area of a square whose diagonal is 5/2 cm.Hint. Area-Bx(diagonal"]squrtts.22

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19.

s guestions. (Any four)14 Marks(1)Write the opposite rayof ray PQ.←

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Opposite Ray of ray PQ is Ray QP.

20.

1. Construct a quadrilateralABCD, in whichAB 4.0 cm, BC 6.0 cm, CD DA 52 cmand AC 8.0 cm.

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thanks

21.

QF Draw a QuadriletecallAVIIn whichRA -HYR - 5hAVE 46 cm, I'R = 52 cmSVT=bm

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8.5 is correct hoga answer

22.

(b) What is the side of the square whose area is 36 sq cm?

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area=36side=6cm is the best answer

area =36side =6cm is the right answer

Sideofthesquare(a)=6cm

Explanation:

Let thesideofasquare=acm

Areaofthesquare=36cm²

[given]

________________________

Weknowthat,

\boxed{Area \: of \: the \: square \: (A) = a^{2}}Areaofthesquare(A)=a2​

________________________

Now,

=>a²=36cm²

=>a²=(6cm)²

=>a=6cm

Therefore,

Sideofthesquare(A)=6cm

Sideofthesquare(a)=6cm

Explanation:

Let thesideofasquare=acm

Areaofthesquare

________________________

Now,

=>a²=36cm²

=>a²=(6cm)²

=>a=6cm

Therefore,

Sideofthesquare(A)=6cm

23.

Find the area of the triangle formed by joining the mid-points of the sides of the trianglswhose vertices are (0,-). (2, 1) and (0, 3). Find the ratio of this area to the area ofgiven triangle.

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24.

he area of a rectangle is 180 m2. If its length is 18 m, find its breadth androom is 13 m long m bperimeter.and 10 m broad. Find the cost of carpeting the floor at the rate of 2650 per m-tis s6 m long and 25 m broad. Find the side of a square whose area is equal to th36 m long and 25 m broad. Find the side of a square whose area is equal to theA rectanglethis rectangle.to the area of a square if its side is (a) halved and (b) doubled?Howmany stamps of size 2 cm x 1.5 cm can be pasted on a sheet of paper of size 6 cm x 12 cm?

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area = length x breadth180= 18 x bbreadth = 10cm

perimeter= 2(l + b)= 2 (18+10)= 56cm

25.

Find the area of the triangle formed by joining the mid-points of the sides of thewhose vertices are (0,-1), (2, 1) and (0, 3). Find the ratio of thisgiven triangle3.area to the areutiof te

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26.

c) Convert to km/hr:i) 30 m/sii) 10 m/s

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27.

TI ) 8 (2)ved ExamplesEvaluate :a. (-2)-5a. (-2)* = -2

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correct answer is1/-32

28.

(2)6,.In the adjoining figure. ! >y. Prove that AB > ACeadjoved.

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29.

0%f area of AABC whose vertices are A(4,K), B(-2,-4) and C(6, -3) is 66. Square unit Find ""

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30.

2. If the diagonal of a square is'a' units, what is the diagonal of the square, whose area isdoubel that of the first square?

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Let the sides of the first square be denoted byx.

Therefore,x²+x²=a²by the Pythagorean theorem

2x²=a²

Therefore, the area of the first square is0.5a²

If the area of the second square is double that of the first square, the area of the second square isa²

Therefore, the sides of the second square has lengthaa.

Therefore, the second square has diagonal of length(2^1/2)a= √2a²

Please like the solution 👍 ✔️

31.

oat goes 16km upstream and 24 km downstream in 6 hours Type equation here also, itcovers 12 km upstream and 36km downstreara in the same time. Find the speed of the boat inthe stillwater and that of the stream.

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32.

4. If one side of a square is decreased by 2 manthe other is increased by 1 m, a rectangle willbe formed whose area is 9 sq. m less than thearea of the square. Find the side of the square.

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Let the side of square be x

Area of square = x²

By reducing a side by 2m the side becomes x-2

by increasing the other side by 1m side becomes =x+1

The area of rectangle = (x-2) (x+1)

x²= (x-2) (x+1) + 9

x²= x²+x-2x -2 +9

x²-x2²+x = 7

x=7

Therefore the side of square = 7m

but why did you add 9 over there???

please reply

please reply

Krupa Gopal please answer

33.

Practice set 3.51.In figure 3.77, ray PQ touches thecircle at point Q. PQfind PS and RS.12, PR8,In figure 3.78 chord A

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Thanks

34.

33Q.27-Find a quadratic polynomial, the sum and product of whosezeroes are v2 andrespectively. Also find its zeros

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-1/√2 ,3/√2 the correct answer of the given question

-1/√2,3/√2 is correct answer

35.

10Convert 72905 10 to hexadecimal.

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( 11CC9 )16

final answer

36.

39. Solve for r and y for the following equations 6x +3y - 6xy and 2x +4y-5ay bycress-multiplication method.

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37.

Worksheet 2gtop 3 TheSo1. The Fig. 11.6 shows two paths drawn inside a rectangular field 50 mwide. The width of each path is 5 m. Find the area of the shaded pontion,35 m5 m50 m

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38.

Worksheet 2e Fig. 11.6 shows two paths drawn inside a rectangular field 50 m long and 35 mwide. The width of each path is 5 m. Find the area of the shaded portion.1. Th5 m35 m50mFig. 11.6

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Area of shaded portion=(5*35)+(5*50)-(5*5)

=175+250-25=425-25=400m²

39.

of Baroda'sbile Bankinglication!MPIN on your62rough internetBranch

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√625=√25×25=25because 25×25=625

40.

. The boat's speed in still water is 30 km/h. A boat travels for three hours downstream and then returns thesame distance upstream in five hours. Find the speed of the stream.

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41.

a boat goes 16km upstream and 24km downstream in 6 hours. also it covers 12km upstream & 36km downstream in the same time. find the speed of the boat in still water & that of the stream. (boat-8km/h ,stream-4km/h)

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42.

a boat goes 16km upstream and 24km downstream in 6 hrs.also it covers 12km upstream & 36km downstream in the same time.find the speed of the boat in still water and that of the stream

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43.

the sum of the speed of a boat in still Water and the speed of the current is 10kmph. If the boat takes 40%of the time to travel downstream when compared to that Upstream then find the difference of the speeds of the boat when travelling Upstream and downstream.

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sun rays go on the water And its called water cycle

44.

leQtohat ango made by mediansaj a slarg

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Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle'scentroid. In the case ofisoscelesandequilateraltriangles, a medianbisects any angleat a vertex whose two adjacent sides are equal in length

45.

14. Divide 35400 into two parts such that if one part is invested in 9%,100 shares at 4% discountand the other in12%, 50 shares at 8% premium, the annual incomes are equal.

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46.

1. First give step you will use to separate variable andthen solve the equations.(a) x+2=4 (b) x+5=7

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(a). x+2=4=>x=4-2=>x=2

(b) x+5=7 => x = 7-5 =>x = 2

x+2=4 x=4-2,x=2 2.x+5=7,x=7-5,x=2

(a) x+2 =4 =x=4-2=x=2

47.

. Give first the step you will use to separate the variable and then solve the equation+10 (c)-1 5 (d) +6 2y+4=4L ton ou will use to separate the variable and then solve the equation

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(a)x – 1 = 0

Answer:Step 1: The number 1 will be moved to RHS of equation with suitable change in sign.So, x – 1 = 0Or, x = 0 + 1 = 1

(b)x + 1 = 0

Answer:Step 1: The number 1 will be moved to RHS of equation with suitable change in sign.So, x + 1 = 0Or, x = 0 – 1 = - 1

(c)x – 1 = 5

Answer:The number 1 will be moved to RHS of equation with suitable change in sign.So, x – 1 = 5Or, x = 5 + 1 = 6

(d)x + 6 = 2

Answer:The number 6 will be moved to RHS of equation with suitable change in sign.So, x + 6 = 2Or, x = 2 – 6 = - 4

(e)y – 4 = - 7

Answer:The number 4 will be moved to RHS of equation with suitable change in sign.So, y – 4 = 7Or, y = 7 + 4 = 11

(f)y – 4 = 4

Answer:The number 4 will be moved to RHS of equation with suitable change in sign.So, y – 4 = 4Or, y = 4 + 4 = 8

(g)y + 4 = 4

Answer:The number 4 will be moved to RHS of equation with suitable change in sign.So, y + 4 = 4Or, y = 4 – 4 = 0

(h)y + 4 = - 4

Answer:The number 4 will be moved to RHS of equation with suitable change in sign.So, y + 4 = - 4Or, y = - 4 – 4 = - 8

Adding +1on both sides,X - 1+1=0+1X=1

48.

"अभ्यास-1.31. कस्ब का एक समाचार-पत्र प्रतिदिन मुद्रित होता है। इसमें 12 पर होते है। प्रतिदिन 11980 प्रतियां छपती हैं। प्रतिदिन कितन पृष्ठ ।छपते हैं?

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Daly prashth =12Total prashth = 11980= 11980/12 = 998. 3

=12×11980=143760 ans

637882553 IS A RIGHT ANSWER

143760 is the right answer of this question

49.

Ifp+12, find the value of p

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50.

Ifp = _ 7 and q = 12 and x2 + px + q = 0.then find the value of x.

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Put the valuesx^2-7x+12=0henceroots=-b+-√b^2-4ac/2a=7+-√49-48/2=7+-1/2x=3,4