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.

6. One-third of a number is 2 more than one-fourth of the number, then the number isfrom these two citi a)24(b) 26(c) 24(d) 20i rm more than twice its breadth. If the perimeter of the rectangle is 52 cm

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Let the no. be n

As per given condition n/3 = n/4 + 2n3 - n/4 = 2Take LCM (4n - 3n)/12 = 2n = 2*12 = 24

Number is 24

2.

135.Prove that sin 30°-2

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To prove that sin 30 = 1/2, you could literally construct a right angled triangle ABC. The crudest method is -

Draw an arbitrarily long line.

Mark any point named A on it and use a Protractor to mark of 30 degrees from A and draw another long line.

Mark a point C on the initial line that you drew and again, use the protractor to draw a line that is 90 degrees to AC. Extend the 30 degree line from A and the 90 degree line from C until they meet. Let the point of intersection be B

Measure the ratio of BC/AB and it will be 0.5 or 1/2.

3.

LAERCISE 9.4Four.fifth of a number is more than three-fourth of the number by 4. Find the number

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4.

. A number a multiplied by itself and added to one-fourth of a number y

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The equation will be

x² + y/4

thanks manisha sama

5.

An the given figure,ABDB andAC DC.If ZABD 58°, BLDBC (2x - 4),ZACB - y 15° andSoluti4DCB 63: find the values of x and y.

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6.

ahd

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7.

TE the firstinfinityteam of GP is 2 ahd surm to

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Sum to infinity = a/(1 - r)

First term = a = 2

Sum = 2/(1 - r)=> 6 = 2/(1 - r)=> 1 - r = 1/3=> r = 2/3.

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8.

1. If Ala, b, c, d, e, fl, B Ic, e, g, hj and C(i) AUBa, e, m, nł, find(ii) AUC(ii) BUC

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If A= {a, b, c, d, e, f} B= {c, e, g, h} and C= {a, e, m, n}

(i) AUB = {a, b, c, d, e, f, g, h}(ii) BUC = {a, e, g, h, m, n}(iii) AUC = {a, b, c, d, e, f, m, n}

9.

3. If the distance between the points (4, k) ahd (1, 0) is 5, then what can be the possiblevalues of k.

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10.

Given a ,b,c,d, e are positive reals, a+b-c+d+ e-8 and a2+D+ c2-f + e, = 16 what is the range of e?

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11.

13, taem f(Show that) :b2 + c2 b+c 1c2 +a c+a1(a-b) (b-e) (e-e),a2 + b2 a+b 1

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12.

18. A car and a jeep were sold for Rs. 240000 each.The car was sold at a loss of 20% while the jeep ata gain of 20%.The entire transaction resulted inएक कार तथा एक जीप प्रत्येक को 2,40,000 रुपये में बेचा गया।कार का 20% हानि पर तथा जीप को 20% लाभ पर बेचा गया। तोपूरे सौदे की लाभ या हानि ज्ञात करें।(a) neither loss nor gain(b) gain of Rs. 1000(c) loss of Rs. 20,000(d) gain of Rs. 500124

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neither loss nor gain

13.

5. The probability of getting a rotten egg from a lot of400 eggs is 0.035. Find the number of rotten eggs inthe lot

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Probability = possible outcomes /total outcomes

Given, Total number of eggs = 400

Let number of rotten eggs = x

Then, Probability of getting rotten eggs= x/400

Hence, x/400 = 0.035x = 400*35/1000x = 4*35/10x = 14

Therefore number of rotten eggs are 14

14.

(1ii) .4 kg to 750.'

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We know, 1kg = 1000g

So, 4kg = 4000g

Ratio of 4kg to 750g

4000 : 750

400 : 75

80 : 15

16 : 3

15.

b) Find the ratio of 3.75 kg to 750 gm.

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1 Kg = 1000 gm3.75 kg = 3.75 × 1000 gm = 37503.75 kg : 750 gm3750 : 750375 : 75 25 : 55 : 1

16.

The average of 4 numbers is 45. Three of the numbers are 45, 55, 56. Find the fourhthe fourthnumber.

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17.

2. In Fig. 13.30, the radius of the given circle, withcentre C, is 6 cm if the chord AB is 3 cm away from(ICSE)the centre, calculate its length.C.4 cm 4 cmE3 cmFig. 13.30Fig. 13.31

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we will use phythagorus theorem

length will be 5+5 cm = 10cm

18.

EXERCISE 3.2Write the answer of each of the following questions:Whst is the name of horizontal and the vertical lines draneni

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Sol: (i) Thename of horizontal and vertical linesdrawn to determine the position of any point in the Cartesian plane is x-axis and y-axis respectively. (ii) Thenameof each part of the plane formed by these twolinesx-axis and y-axis is quadrants. (iii) The point where these twolinesintersect iscalled origin.

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19.

() A pole is 12 m 25 cm long. A piece of 4 m 36 cm is cutaway from it. What length of the pole is left.

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left length=12m 25cm-4m 36cm =7m 89cm

20.

IS a taigeit ahd uie hr, u4. Calculate the length of tangent from a point 15 cm away from the centre of a circle ofradius 9 cm.d noints ofa diameter are parallel

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21.

There are 60 mangoes. 1/2 of them are ripe. HOW MANYmangoes are ripe?

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(1/2) of 60 = 30

Therefore, 30 mangoes are ripe.

22.

O. Find the magnituade or DThe bisectors of base angles of a triangle cannot enclose a right angle in any casetrianele enclose an angle ef 135prove that

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23.

There are 60 mangoes. 흐 of them are ripe. How manymangoes are ripe?

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Number mangoes that riped = 60 ×1/2 = 30

24.

If all the exterior angles of a triangle measure twicehemeasure of one of its opposite interior angles, findmeasure of all its interior angles.he

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25.

Two points lying at distance b & a from thebase of a pole in the same direction fromangles of elevation which are complementry.What is the height of the pole ?

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26.

3.Four boys picked up 30 mangoes. In how many ways can they divide them if all mangoes be identical?

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30 identical mangoes and 4 boysso (30+4-1)C(4-1) ways it can be dividedso 33C3=(33*32*31)/(3*2*1)=5456

27.

if Cost of 5 mangoes is rs 20 then find cost of 8 mangoes?

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Cost of 5 mangoes = Rs. 20 Cost of 1 mango = 20/5 = Rs. 4 Cost of 8 mangoes = 8×4= Rs.32

Hope this will help you. Please select my answer as best answer if you feel so..

c.of.5 mangoes=20rsc.of1 mango =20/5=4rsc.of8 mangoes=8×4=32rsThe cost of 8 mangoes Rs 32. is the best answer

cost of 5 mangoes =20cost of 1 mango=20÷5cost of 8 mangoes =20÷5×8 =32

cost of 5 mangoes = Rs 20 cost of 1 mangoes =Rs ( 20 / 5) = Rs 4

cost of 8 mangoes = Rs ( 8 × 4) = Rs 32

cost of 5 mangoes =20cost of 1 mangoes= 20÷5= 4

cost of 5 mangoes = Rs 20cost of 1 mangoes= Rs (20÷5) = Rs 4cost of 8 mangoes= Rs (8×4) =Rs 32

5 mangoes =201 mango cost=20÷5=4

cost of 5 mangos = 20cost of 1 mango = 20/5=Rs 4cost of 8 mangos=8×4=Rs 32

Cost of 5 mangoes=20Cost of 1 mango=20÷5=4Cost of 8 mangoes=4×8=32

cost of 5 mangoes is 20 cost of 8 mangoes is 32

cost of 5 mangoes is rupees 20 therefore cost of 1 mango = rupees 20/5=4therefore cost of 8 mangoes = 8*4=32 rupees

28.

In an isosceles triangle, the base angles are equal. The vertex angle is 40°. What are the baseangles of the triangle?

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29.

746 trucks each carrying 750 kg of mangoes come into the city. How manykilograms of mangoes have come into the city?

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559500kgs of mango coming to the city.

30.

y) Total cost of x oranges at Rs 45 per dozen and y mangoes at 5 per piece

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its incomplete but we can form the equation :-orange costs rs.45 per dozen so, per orange it costs 45/12cost for x oranges=(45/12)x=3.75xcost for y mangos=5ytotal cost= 3.75x+5y

31.

/.Four pens cost30.88. What is the cost of one pen'2. Three sandwiches cost 55.50. Find the cost of one so3. Hve mangoes cost 7.25. What is the cost of one m4. Three pencils cost 14.25. Find the cost of one pencil110)

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1) 4 is of 30.88 so 1 is of 30.88/4=7.722) 3 is of 55.50 so 1 is of 55.50/3=18.53) 5 is of 47.25 so 1 is of 47.25/5=9.454) 3 is of 14.25 so 1 is of 14.25/3=4.75

32.

3) A diary is bought for ?55. What should beits selling price to earn a profit of 5%?

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CP = 55 PROFIT = 5% SP = 55*1.05 = 57.75

33.

In an isosceles triangle, the base angles are equal. The vertex angle is A0the base angles of the triangle?Whst ave

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34.

Example 8. In an isosceles triangle, the base angles areequal. The vertex angle is twice either base angle. Whatare the angles of the triangles?

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Let equal angles of isosceles triangle be xThen vertex angle is 2x

Using triangle sum propertyx + x + 2x = 1804x = 180x = 45

Angles are 45, 45 and 90

35.

31, In an isosceles triangle the base angles are equal and the vertex angle is twice of each baseade Find the measures of the angles of the triangle.

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36.

4. The vertical angle of an isosceles triangle is100°. Find its base angles.

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thank you

37.

9. The bisectors of base angles of a triangle cannot encios10. If the bisectors of the base angles of a triangle enclose an angle of 135, proythe triangle is a right triangle.a ACB intersect at

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let the bisectors of the base angles B and C of trianle ABC meet at O.given angle BOC = 135In triangle BOCOBC+BOC+OCB=1801/2B+135+1/2C=1801/2(B+C)=180-135=45B+C=45*2=90-----iIn triangleABCA+B+C=180A=180-(B+C)A=180-90=90A=90Therefore triangle ABC is an right triangle

38.

the verticle angle of an isosceles triangle is 90°. Find each of its base angles.

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39.

What are the base angles of the triangle?(Remember, the sum of three angles of a triangle is 180)

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40.

To construct a triangle given its perimeter and its two base angles

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Do you need the figure for it?

41.

. A chord AB of a circle, of radius 14 cm makes an angle of 60° at the centre of the4circle. Find the area of the minor segment of the circle.(Use π-22/7)

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42.

11. In right triangle ABC, angle C is right angle M is themid-point of hypotenuse AB. Join C to M and produce itupto D such that DM - CM. Joint point D and B (Seefigure). Show that(i) ΔΑ.MC-Δ BMD(ii) Δ DBC is a right angle.

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Thank yuo sir

43.

Practice time1) Look at the angles in the pictures and fill the table.Angle Right angle More than a Less than aright angle right angleSTEP

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1. Acute angle2. Right angle3. obtuse angle4. Right angle5. obuste angle

1.acute angle2.right angle3.obtuse angle4.right angle5.###no

acuterightobtuserightobtuse

acute obtuse right right obtuse

all the answers you put tick are correct

all the answers you put tick are correct

44.

. The complement of an angle is th of a right angle. Find the angle.

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45.

Prove that angle in a semicircle is right angle.

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46.

In a right angle triangle ABC, right angle is at C. BC+ CA=23 cm andBC-CA=7cm, then find sin A and tan B.

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Thank you bro 😊

47.

Show that each angle of a rectangle is a right angle.

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1

2

48.

Example 1 : Given tan A find the othertrigonometric ratios of the angle A.et draw a right Δ ABC

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tan A = 4/3We know,tan A = P/B

Using pythagoras theoramH^2 = P^2 + B^2H^2 = 4*4 + 3*3H^2 = 16 + 9 = 25H = 5

Other trigonometric-functionsare:sin A = P/H = 4/5cos A = B/H = 3/5cot A = B/P = 3/4sec A = H/B = 5/3cosec A = H/P = 5/4

thanks jaan

49.

4Example I iven tan A = , find the othertrigonometric ratios of the angle Adraw a right A ABC

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50.

If in A right angle ΔABC tan B=12/5 ,the find Cot B

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as tan B = 1/cotBso cotB = 5/12