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.

9. A wall of 8 m long casts a shadow 5 mlong. At the same time, a tower casts ashadow 50 m long, then the height oftower is1) 20 m2) 80 m3) 40 m4) 200 m100 hon

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anwere is (2) 80

2.

(z) tall18, Prove that cos 6x = 32 cos6 x-48 costs + 1 8 cos-r-1

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3.

:A house is built in a rectangular plot of area 950 m2. The house covers an area of 140 m2. The: remaining plot is to be covered with 20 cm thick layer of soil. How many m of soil will bea needed?

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thanks a lot you really nailed it

4.

A field is in the form of a quadrilateral; one ofits diagonal is 140 m. the perpendiculardistance from the opposite vertices to thisdiagonal are 45 m and 55 m. find the area ofthe field.a) 3821.90 m2c) 500.56 m2b) 4506.60 md) 7000 m2

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If you find this solution helpful, Please give it a 👍

5.

If tan θ + sin θ = m and tan θ-sin θ = n, show that (m2-n2)2-16 mn

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6.

If tan θ + sin θm and tan θ-sin θ Ξ n, show that (m 2-n2)216 mn.

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7.

alProve that b c a -a+Babe).cl

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8.

4If tan A + sin Îą n; tan A-sin As n, then showelo of radius 12 em subtends anthat (m2 -n2) 16 mn.

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9.

Q.No 3 The average of five numbers is 496. If two of them are 117 and 140, find theaverage of remaining three numbers.(a 239 (b) 717 (c) 741 (d) 637

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Average of 5 numbers= sum of 5 numbers /5Sum of 5 no. = 496x5 = 2480

If two no. are 117 and 140Sum of remaining 3 no. = 2480 - 257= 2223Average of remaining 3 no. = 2223/3= 741

10.

(c) 4(d) 5The product of two co-primes is 117. Their L.C.M. should be(a) 1(b) 117

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11.

A flag pole 4m tall casts a 6 m., shadow. At the same time, a nearby building casts ashadow of 24m. How tall is the building?

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The building is 24m tall

the building is 25 metre tall

59.84 ÷ 32 =1.84 answer

59.84÷32=1.84 answer

12.

Q.4 For summative evaluation in a certain school, 720 of the 1200 children wereawarded 'A' grade in maths. What is the percentage of student getting A grade?

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for summative actualy jacket gottem hdj gd

13.

Q. 5 : 21 :: 7 : ?a. 25 b. 49c. 43 d. 30

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14.

A building that is 15 meters tall casts ashadow that is 6 meters long. At thesame time, a tree casts a shadow that is9meters long. How tall is the tree?

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Height of building =15m=1500cmLength of shadow =1.8m=180cmLength of shadow of pole=60cmNow, 1500/180=x/60x=500cmLength of pole =500cm

15.

rson 1.65 m tall casts 1.8 m shadow.t the same instance, a lamp-postcastshadow of 5.4 m. Find the height ofASthe lamp-post.

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The height of the lamppost is 4.95

The height of the lamp post is 4.95

16.

) The sum of two numbers is 30. If one number is four times the other, thensmaller number is(a) 5(b) 6(c) 7(d) 8

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17.

348,7.lnodigitisrepcatedFind the number of 4-digit3 if no digit is repeated How many of these will be evensumbers that can be formed using the digits 1,21

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18.

2.The difference between two numbers is 8. If 2 is added to the bigger number the resultwill be three times the smaller number. Find the numbers.

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required numbers are 3,11

Here, X - Y = 8 X = 8 + Y......(i)Now, A/Q X + 2 = 3Y ( 8 + Y ) + 2= 3Y 10 + Y = 3Y 2Y = 10 Y = 5From (i), X = 8 + Y = 8 + 5 = 13

•°• X = 5, Y = 13

let the smaller number be yand the bigger number be xAcc. to 1st condition x-y=8___(1)and Acc to condition 2ndx+2=3yx-3y=-2___(2)now add eq 1 and (2)..by multipling eq 1 from (_)x-3y=-2___(2)-x+y=-8___(3)

-2y=-10y=5now sub y=5 in eq (1)x-y=8__(1)x-5=8x=13

the two numbers are 13 and 5

x=5 and y=13by the method of linear eqń in two variables

19.

4- A building 19 m tall casts a shadow of 19 m along the level ground. At what angle do therays of the sun hit the ground?

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yes a building has 19 m tall

Use this theoremIf opposite angles are equal then opposite sides are equalHere the two sides are equal then angles are equal.A right angled triangle is formed if we draw the picture.One of the angles is 90The sum of the remaining angles = 180-90=90Sum of the angles in a triangle is equal to 180Since the angles are equal the value of the angles are 90/2=45The Sun rays hit the ground at 45.

Use this theoremIf opposite angles are equal then opposite sides are equalHere the two sides are equal then angles are equal.A right angled triangle is formed if we draw the picture.One of the angles is 90The sum of the remaining angles = 180-90=90Sum of the angles in a triangle is equal to 180Since the angles are equal the value of the angles are 90/2=45The Sun rays hit the ground at 45.

teta equal 45'because by the right angle triangle tan45

20.

raciusshooed

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21.

1. The HCF of 65 and 117 is expressible inthe fom 65m 117. Find the value of m.

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Find the Hcf of 65 and 117

65 =5*13

117 =3*3*13

--------------------------------------H.C.F. of 65 and 117 = 13

according to question

=>65m -117 = 13

=>65m = 13+117

=>65m =130

=>m =130/65

=>m=2 ANS.

22.

6. Find the value of m if HCF of 65 and 117 is expressible in the form 65m-124

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hcf of 117 and 65 is 13 65m-117=1365m=13+11765m=130m=2

23.

6. If the HCF of 65 and 117 is of the form (65m-117), then m-(a) 1(b) 2(c) 3(d) 4

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thankyou

thankyou soo much

24.

5. At the Rice Research Centre at Tumsar, there are 2610 kg of seeds of the basmativariety and 1980 kg of the Indrayani variety. If the maximum possible weight of seedshas to be filled to make bags of equal weight what should be the weight of each bag?How many bags of each variety will there be?

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Maximum weight of each bag = HCF(2610, 1980) = 90kgNumber of bags of basmati rice = 2610/90 = 29Number of bags of Indrayani rice = 1980/90 = 22

manisha has 25 bags ofapple.in each bags there are 89 apples.she shared them equal amongst her 6 friends.how many apples each get?are there any apples left.

120 bags of half litre milk can be filled by a machine within 3 minutes find the time to fill such 1800 bags

25.

ON 3 pieces of timber of 43 49 56m have tothe divided into blanks of the same lengthwhat is the greatest impossible length of theblanks

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the answer was 2 is correct

26.

है... वर०8५6 angles of poratlalgsans ABCD g LA = (3r20)० = (‘QCKPID' थी nd tha [P Ej ik a”%,'i

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It's a property of parallelogram that opposite angles of a parallelogram are equal.

Therefore , angle A = angle C

3x + 20° = 2x + 70°

3x - 2x = 70° - 20°

x = 50°

Therefore, angle A = angle C = 3 × 50° + 20° = 170°

And angle B = angle D = 180° - 170° = 10°

Hence, 170° and 10° are the angles.

27.

the blanks:P =

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28.

19. One block of cement weighs 74 kg. Find the weight of 10 blocks of cement.

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One block weighs 31/4 kgthen 10 blocks will weigh31/4*10310/407.75kg

29.

The denominator of a rational number is greater than its numerator by 8. If thenumerator is increased by 17 and the denominator is decreased by 1, the numberotained isFiad the rastional number

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30.

EXERCISE 88sumbers are in the ratto 8: 3 Iu the sum of the numbers is 143, and the numbers.

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31.

Mathematics X6. The difference of sqes of tosumbers is 180. The square of the smaller number iu8 times the laror sher Find the wo umbers

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Let the larger number = xThen the square of the smaller number = 8 times the larger number = 8xand the square of the larger numbe r = xAccording to the question,x - 8x = 180=> x - 8x - 180 = 0=> x - 18x + 10x - 180 = 0=> x(x - 18) + 10(x - 18) = 0=> (x - 18) (x + 10) = 0=> x - 18 = 0 or x + 10 = 0=> x = 18 or x = -10Thus, the larger number = 18 or -10Then, the square of the smaller number = 8(18) or 8(-10)= 144 or -80The square of a number can't be negative, so, the square of smaller number = 144Hence, the smaller number = sqrt(144) = 12The numbers are 12 and 18

thanks for answer

32.

1. Fiad the area of a circle whose racius is21 m.5

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tQ

you have the book are what I told one question but you reply 2 question

33.

uwerbed.Fill in the blanks in the following table, given thas a ia the nm assdifferein the blanks in thEXERCISEnce and a the nth term of the AP-ča7318182536(iv)-18.9350106

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34.

a) 805 km(b) 855.5 KmIn a race, Raghu covers 5 km in 20 minutes, how much distance will he cover in50 minutes?0) 1? 6 km(d) 13.5 km

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35.

fill in the blanks

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36.

() 6+3°(च) 21%7() 16+8

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1. 6/3=22. 21/7=33.16/8=2

my sister ______ in the park when I met her.

(1) 18 (2) 147 (3)128

37.

21yo)it1the given figure, two cun centric oneswith centre O have radia 23 cs and 42m黑田

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Radii of the concentric circles = 21 cm and 42 cmArea between the circles = π R^2- r^2= (22/7) (42^2- 21^2) = 4158 cm^2Angle subtended by the arc in the inner circle = 60°Area of the sector in the inner circle = (60° / 360°) x π r^2= (60° / 360°) x (22/7) x (21)^2= 231 cm^2Angle subtended by the arc in the outer circle = 60°Area of the sector in the inner circle = (60° / 360°) x π R^2= (60° / 360°) x (22/7) x (42)^2= 924 cm^2Area of the portion of the sector in between the circles = 924 - 231 = 693 cm^2Area of the shaded portion = (Area between the circles) - (Area of the portion of the sector in between the circles) = 4158 - 693 = 3465Therefore, the area of the shaded region is 3465 cm^2.

succser of next digit 64799

38.

Fill in the blanks.cm

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300 m 50 cm is the answer of the following

3×2+1/2=7/2=3.5m and 350cm

3 & 1/2 m = 3m 50cm. is your answer.

300 m 50 cm is the answer of this question

1m 30cm is your answer

300 m 50 cm is the right answer

1m 30cm the answer to question

39.

eAdd / Subtract.(a)き9, 50 paise +7 14, 60 paise

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Rs. paise 9. 50+14. 60 24 10

24Rs 10p

40.

3.On a certain flight the first class fare is Rs. 893 and theeconomy class fare is Rs. 542. How much money is paidto the airline if there are 109 passengers flying first classand 238 flying at the economy.other depar

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109 × 893 = 97337(first class)238 × 542 = 128996 (economy)

total money paid = 97337 + 128996 =226,333 rupees.

passenger flying first class =97337passenger flying at the economy =128996

Cost of first class fare=Rs. 893Cost of economy class fare=Rs. 542

Number of first class passengers=109Number of economy class passengers=238

Money paid by first class passengers to the airline=109×Rs.893=Rs.97337

Money paid by economy class passengers to the airline=238×Rs.542=Rs.128996

∴Total money paid to airline=Rs.(97337+128996)=Rs.226333

41.

TiFind the ratio of250 paise to 50 paise

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250:50

= 50:1 paise

42.

10. i) In the AB I| CD, BDC 30° and BAD 80 find x, y and z.36Goх.

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43.

If a-b 0.9 and ab - 0-36; find:(ii) a2-b2

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Given a - b = 0.9ab = 0.36

(1) (a - b)^2 = a^2 + b^2 - 2ab0.9*0.9 = a^2 + b^2 - 2*.36a^2 + b^2 =.72 +. 81a^2 + b^2 = 1.53

(a + b)^2 = a^2 + b^2 + 2ab(a + b)^2 = 1.53 + 2*.36(a + b)^2 = 1.53 +.72(a + b)^2 = 2.25(a + b) = 1.5

(2) a^2 - b^2 = (a + b)(a - b) = 1.5*0.9 = 1.35

thanks😀😁😂

44.

1. 18 : 12: 21:x में x का मान बताओ।

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14

45.

12+21

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by basic addition 12+21=33

100÷5

46.

12 217 16Solution

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12/7*21/16=12*3/16=3*3/4=9/4

47.

The value of 20052/7-3/3.40155+12 21 is

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48.

ocal bus is carrying 40 passengers, some with 50 paisa tickets and the remaining with 21.50the totaltidewith 50, 2. TheA l,32, then find the number of passengersmoney collected from the passengers istickets.

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49.

17. A local bus is carrying 40 passengers, some with5 tickets and the rem750 tickets. If the total receipts from these passengers is Rs 230, find thepassengers with 5 tickets.

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suppose 5rs passengers are x and 7.5rs passengers are yso x+y=405x+7.5y=230so x+1.5y=46x+1.5y-x-y=46-40so 0.5y=6 so y=12so x=28so 5rs passengers are 28

50.

Without calculation find the value 28^3+(-15)^3+(-13)^2

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let a = 28 b=-15 c=-13

a+b+c =0then a^3+b^3+c^3 = 3abc=16380