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.

In each question given below whichone number can be placed at the signof interrogation?8 3 436114?13 5 1 4

Answer»

AS in first coloumb8+3+2=13now in second3+6-4=5now in third4+1=5now 5-1=4so 1 will be there

2.

In each question given below whichone number can be placed at the signof interrogation?919

Answer»

1

E = 55 × 1 = 53 × 7 = 2121 - 5 = 6

Set 1M = 132 × 13 = 265 × 9 = 4545 - 26 = 19(Multiply numbers on opposite side of the square and subtract)Set 2B = 29 × 2 = 1811 × 2 = 2222 - 18 = 4

3.

If areas of two similar triangles are equal, thenprove that the triangles are congruent.

Answer»

Given: ΔABC ~ ΔPQR. &

ar ΔABC =ar ΔPQR

To Prove: ΔABC ≅ ΔPQR

Proof: Since, ΔABC ~ ΔPQRar ΔABC =ar ΔPQR. (given)

ΔABC / ar ΔPQR = 1

⇒ AB²/PQ² = BC²/QR² = CA²/PR² = 1

[ USING THEOREM OF AREA OF SIMILAR TRIANGLES]

⇒ AB= PQ , BC= QR & CA= PR

Thus, ΔABC ≅ ΔPQR[BY SSS criterion of congruence]

4.

Ifme areas of two similar triangles are equal, proveat they are congruent.

Answer»

thanxx for solution

5.

Three points A, O and B are on a line segment and clis a point, does not lie on ZAOB. If ZAOC = 40°,and also OX and OY are internal and extemal bisectorof ZAOC = 40° respectively, then ZBOY = ?

Answer»

If interior angle=40°then, exterior angle=180°-40°=140°So, angle BOY= 140°/2 = 70°

Hope it helps.Mark as best if I am correct.

if interior angle =40°then, exterior angle =180°-40°=140°so,angle boy=140°/2=70°

6.

If the areas of two similar triangles are equal, prove that they are congruent.

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7.

eguby too aeorA ccket match are y. one

Answer»

let x and y be the runs scored by two batsman

total runs scored=164

equation: x+y=164this equation can have many solutions like

x. y 100. 64 50. 114 64. 100and many more solutions

8.

5. In the given figure, O is the centre of the50。circle. If <ACB = 50°, find <OAB.

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9.

9. In the adjoining figure, ABCD is acyclic quadrilateralin whichzBCD=100° and <ABD = 50°. FindLADB10050

Answer»

The Quadrilateral is cyclic , so, angle C + angle A = 180°

=> angle DAB = 180°-100° = 80°

now in ∆ADB , sum of angles are 180°

so , angle ADB = 180° -50-80 = 50°

10.

Y=2/10 {(50)2 + 10(50)}find value of Y

Answer»

y=2/10 {(50)2+10 (50)}y=2/10{100+500}y=2/10 {600}y=2*60=120

11.

EXERCISE 42In Q.1 to 3, choose the correct option and glive juntificationI. Prom a point Q, the length of the tan gent to a circle is 24 cm and the distance otothe centre is 25 cm、The radius of the circle is(A) 7m(C) 15ama) 12am(D) 243 am2. In Fig. 4.11, IfTP and TO are the two tangentstoa cirele with centre O so that 4 POO-110then 2 PTO is equal to(A) 60Flg. 4.11Iftangents PA and PB trom a point P to s circle with centre O are inclined to eachal angle of80.. then(A) 50(C) 73POA is equal to8) 60

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12.

What is the cost of metal sheet required to prepare two cuboidal boxes of dimensions 1m ,50cm,1.5m at the rate of rupees 120 per m square ?

Answer»

Surface Area of 2 cuboids = 2*2*(1*1.5 + 1.5*0.5 + 0.5*1)= 4*(1.5 + 0.75 + 0.5)= 4* (2.75)= 11 sq metres. Cost = 120*11= Rs. 1320

13.

in figure 8 of 1oc , find the angle A O b + angle C o b

Answer»

Where is the figure?

please send me answer

14.

bool - 10 = 0

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please give me like😊

15.

18. Rampal deposited 8,569 on Monday, withdrew * 2,873 on Tuesday and again on Saturday deposit3,000 in the bank. How much money does he have now in his bank account?bool 70 000 Out of which 7 14 800 wanaid to the

Answer»

He has Rs 8696 in his bank account

8696 is the correct answer

he has rs 8696 in his bank account

16.

28. Change one *-' sign as '+' sign to get the sum 9.

Answer»

0 is the right answer

12,-3 the correct answer of the given question

17.

1. The unit digit in the expression(55'25 +735810 +22853) is(a) 4(b) 6 (c) 8(d) 3

Answer»
18.

34. Plot the velocity-time graph of a bodywhose initial velocity is 5 m/s and is2.moving with a retardation of 1m/sCalculate the distance covered by it.

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19.

PORS is a rhombus with QPS 50° find RQs

Answer»

A rhombus is kind of a parallelogram , henceAngle.QPS=AngleQRS=50°Now, in ∆PQSanQRS +RSQ+RQS =180°[Angle sum property of triangle]

50°+x+x=180°(Opposite sides of rhombus are equal, therefore angles opposite to equal sides are equal)

50°+2x=180°2x=130°x=65°I.e. RQS=65°

20.

thatthprove1. If the area of two similar triangles are equal,are congruent.

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21.

If the areas of two similar triangles are equal, provethat they are congruent.f sides A

Answer»

I have already solve it bt thanks for cooperation.....

22.

is and T are points on sides PR and QR of APOR such at AP-ARTS, Show that & RPO-ARTS12-2RTS , show that ΔRPQ-ARTS

Answer»
23.

11.PQRS is a rhombus with <QPS = 50 find <RQS.

Answer»

Step. 1 find angle PQR ( QPS and PQR are supplementary)

step 2 divide it by 2 to get angle RQS

this is because the 2 triangles SPQ and QRS are congruenttherefore Angle RQS = PQS = 1/2 PQR

the answer is -> 65°

thank you😊

24.

In the ghen feure, tangents PQ and PR are drawnfrom an extemal point Pto a cirele with centre Osxh that RPQ-30 A chord RS is drawn parallelto the tangent PQ. Find RQS

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25.

1. Given a quadrilateral PQRS with PS - QR and LPSQ ROSProve that Δ PSQ_Δ RQS

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26.

In a hot water heating system, there is a cylindrical pipe of length 28 m and diameter5 cm. Find the total radiating surface in the system

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27.

sIn a hot water heating system, there is a cylindrical pipe of length 28 m and diameter5 cm. Find the total radiating surface in the system.

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28.

In a hot water heating system there is a cylindrical pipe of length 28 m and diameter 5 cm. Find the total radiating surface in the system.

Answer»

Thanks

29.

In a hot water heating system, there is a cylindrical pipe of length 28 m and diame5 cm. Find the total radiating surface in the system.

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30.

22. A tower is 50m high. It's shadow is x m shorter when thesun's altitude is 45° than when it is soFind x correct to the nearest 10.

Answer»

let the height be h

and the vertical distance be x

now,

tan 45=1

h/(x+80)=1

h=x+80 ___(i)

tan 60=root 3

h/x=root 3

h=x root 3 ------(II)

PUtting the valu of h in eq (i)

x root3=80+x

1.73x-x=80

0.73x=80

x=80/0.73

therefore,x=109.5

putting the value of x in eq(i)

h=109.5*1.73=189.43 m

31.

Inahotwaterheatingsystem, there is a cylindrical pipe of length 28 m and diameter5 cm. Find the total radiating surface in the system.

Answer»
32.

The angle of elevation of the top of the building from the foot of theo30°and the angle of elevation of the top of the tower from the foot of the buildingQ3.is 60. If the tower is 50m high, find the height of the building.

Answer»

give full figure please

33.

Q3. The angle of elevation of the top of the building from the foot of the tower is30°and the angle of elevation of the top of the tower from the foot of the buildingis 60°. If the tower is 50m high, find the height of the building.

Answer»
34.

How many revolutions would a cycle wheel of diameter 1.6 m make to cover a distance of 352tres? (Take π = 22

Answer»

Given that :the diameter of wheel of cycle = 1.6m

we have to find:how many revolution the wheel of cycle make covering a distance of 352 m

solution:-the Radius of wheel = 1.6/2 = 0.8 m

and the circumference of wheel = 2πr = 2π×0.8 => 1.6 × 22/7 = 5.02857143 m

now, the number of revolution by wheel covering a distance 352 m = 352/ 5.02857143= 70 rounds Answer

35.

find the cost of fencing a flower garden of side 50m at the rate of 10 per meter

Answer»

area of garden =side^2=50^2=2500m^2hence total cost=rate*area=2500*10=25000rupees

36.

LUUUUU)2 RESCUE = 372057 99€ PROBLEM = 9348176261 PROCURE = ?(WBCS (Prelim.) '13] 93403576 9340537© 38405370 3904537

Answer»

option b is the correct answer of the given question

b) 9340537 is the right answer

option (b) is a correct answer

option b is correct answer.

9340537p=9r=3o=4c=0u=5r=3e=7

P=9, R=3, O=4, C=0, U=5R=3, E=7So, PROCURE=9340537

9340537 is the option is 2nd is answer

37.

ITULI4. Find the arithmetic mean of two numbers 5 and 7.

Answer»

arithmetic mean=a+b/2 =5+7/2 =12/2 =6

A+B-------- 25+7------- 2

12----- 2 =6

that is a+b/2 so 5+7/2=6

38.

WhatCLION ULLI TULI3. Convert the following fractions into improper fra(11) 51

Answer»

So2(7/9)== 18+7/9 25/9

and 5 4/11= 55+4/11= 59/11

39.

9. The angle of depression of a ship from the top of a 30 m tall tower is 30°. Find the distance of theship from the tower.

Answer»

tan30=qr/pq; 1/V3=h/30; hV3=30; h=30/V3 = 30/ v3 x V3/ V3=30V3/3=10V3

let, AB=30m BC=X <C=30° ABC got to be the same as AB by BC=tan 30° =)30 by x= 1 by wrute3 =)x=30wrute3

tan30=pq/qr; 1/V3=30/x; x=30V3

40.

3. A man standing on the deck of a ship, which is 10 m above the water level, observes theangle of elevation of the top of a hil as 60' and the angle of depression of the base of thehill as 30°. Find the distance of the hill from the ship and the height of the hill

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41.

6. From the top of a lighthouse, 100 m above sealevel, the angle of depression of a ship, sailingtowards it, changes from 30° to 45°. Determine thedistance travelled by the ship during the period ofobservation

Answer»

ans: (√3 - 1)cuz tanα=perpendicular / basegiven perpendicular is 100m. α1=30°,α2=45° .put the values in above formula get 2 equations and solve them. Then difference between the two values give the the distance.

42.

The angle of elevation of the top of a hill at the foot of a tower is 60° and the angle ofdepression from the top of tower to the foot of hill is 30°. If tower is 50 metre high,find the height of the hill

Answer»

ln ∆ABC,

h/x = tan 60°

⇒ h = x√3

ln ∆BCD,

50/x = tan 30°

⇒ x = 50√3

∴ h = 150

∴ Height of hill = 150 m

43.

The angle of elevation of the top of a hill from the foot of a tower is 60° andthe angle of elevation of the top of the tower from the foot of the hill is 30°If the tower is 50 m high. Find the height of the hill.

Answer»
44.

The angle of elevation of the top of a hill at the foot of a tower is 60° and the angle ofdepression from the top of tower to the foot of hill is 30°. If tower is 50 metre high,find the height of the hill.ORtanding oste to each other on either side of the

Answer»

Let AB is the Tower of height = h = 50 m.And, let the Height of Hill CD = H m.Distance between The root of the tower and hill = BCNow,In ΔABC∠C = 30° TAN(C) = AB/BC⇒ TAN(30) = 50/BC⇒ 1/√3 = 50 /BC⇒ BC = 50√3 m.Now,InΔBCD,∠B = 60° Tan(B) = CD/BC⇒ Tan(60) = H/BC⇒ BC√3 = H⇒ H = 50√3*√3 = 150 m.

45.

40) The angle of elevation of the top of a hill from the foot of a building is 600 andthe angle of elevation of the top of the building from the foot of the hill is 300. If thebuilding is 50m high what is the height of the hill?

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46.

from the top of a 7m high building, the elevation of the top of a cable tower is 60°and the angle of depression of its foot is 45°. find the height of the tower

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47.

From the top of a 7m high building, the angle of elevation of thetop of a tower is 60 and the angle of depression of its foot is 45°Determine the height of the tower

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48.

.The angle of elevation of the top of a hill from the foot of a tower is 600 and the angle of elevation ofthe top of the tower from the foot of the hill is 30. If the tower is 50 m high, then find the height of the

Answer»
49.

12. From the top of a 7m high building, the angle of elevation of the top of a cable tow er is60° and the angle of depression of its foot is 45° Determine the height of the tower

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50.

fdlQ.29) From the top of a 7m high building, the angle of elevation of the top of a cable tower is 60 andthe angle of depression of its foot is 45.Determine the height of the towver30)The angle

Answer»