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 the given figure, ABCD is a parallelogram,<ADE = 50° and LACE = <BED = 90°. The value(2) 10°(4) 40°(3) 30°

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2.

4. The largest sphere is curved out of a cube of a side 7cm. Find the volurmed. A circus tent isle 3pcircus tent is cylindrical up to a height of 3m and conical above it. If the diameter of the base is 105m andinder. The diameter of the sphere isthe slant height of the conical part is 53m. Find the total canvas used in making the tent.

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3.

2. (A) Choose the correct alternative:(1) The common difference of the A.P. 3, 5, 7,is..?.(A) 4 (B) 2 (C) 3 (D)-2

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As 5-3 = 2 and 7-5 = 2The common Difference is 2so option B) 2 must be correct

4.

10.In an AP, tg is more than t3 by 25. Whatis the common difference of the AP ?(A) 5(C) 2(B) 4(D) 1

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5.

So,Similarly, 2928EXERCISE 10.21. Fill in the blanks(i) 7550 g =

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1 g = 0.001 kg 7550 g = 7550×0.001 = 7.5 kg

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6.

3. If the sum of n terms of an A.P.be 3n2 +n and its common difference is 6, then its firstterm is(a) 2(b) 3(0) 4(c) 1

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7.

6. ABCD is a rhombus. I LDAC-,find (s) LACD (b) ZCAB )ABC7. ABCD is a trapezium in which 4B DC. ZA 4B40 what are the measues of he oheangles ?

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8.

/3 In the adjoining figure, ABCD is aparallelogram in which LA-60% If thebisectors of ZA and ZB meet DC at P,prove that (i) ZAPB 90, (ii) AD DP andPB-PC-BC, (ii) DC 2AD.

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9.

The interior angles of a polygon are in A.P. If the smallest angle is 120 & the common difference is 5,then the number of sides in the polygon is(C) 16(D) 5

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10.

Exercise 14.Find the area of a regular pentagon in which each side is 5 cm and apothem is 6 cm.

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Here height will be equal to apothem that is 6 cmArea = 75cm^2

11.

27. In a monthly test, Sumit scored 97 out of 100 in mathematics, 69 out of 75 in science, 123out of 150 in Hindi, and 42 out of 50 in English.(i) In which subject was his performance the best?(ii) In which subject did he perform the worst?

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% inMathematics = 97%Science = (69 /75)x 100 = 92%Hindi =(123/150)x100 = 82%English =(42/50)x100= 84%

Best is mathsWorst is hindi

12.

anexamination, 80 % students passed in English, 85 % in Mathematicsand 75 % in both the subject. If 40 students failed in both subject thenthe total number of students is:

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80% passed in English and 85% passed in Mathematics and 75% in both the subjects then total passed students=85+80-75=90%so failed students=10%=40so total students=100*40/10=400

13.

The diameter of the base of a right circular cylinder is 28 cm and its height is 21 cm. Find its:(i)3.curved surface area(ii) total surface area(ii) volume

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14.

4.) How many metres of cloth 1m wide will be required to make a conical tent whose base diameter is 10m and vertical height is 12 m?

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15.

The 8th term of an AP is zero. Prove that the 38th term istriple its 18th term.

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16.

numbers?28. Find the values of x, y, z in the given parallelogram40112

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17.

The 8th term of an AP is zero. Prove that its 38th term is triple its 18th term.

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Thanks

18.

-) - The 10th term and the 18th term of an A.P. are 25 and 41 respectively thenfind 38th term of that A.P., similarly if nth term is 99. Find the value of n.

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a10 = a + 9d = 41 .........(1)a18 = a + 17d= 72.........(2)

(1) - (2)

a - a + 9d - 17d = 41 -73

8d = 32

d = 4

a + 36 = 41

a = 5

then a26 = 5 + 25 × 4 = 5 + 100 = 105

19.

\frac{3^{-4} \times a^{-3} \times b^{-4}}{3^{-5} \times a^{-5} \times b^{2}}

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20.

he gth term of an AP is zero. Prove that ils 38th term is triple of its 18h term.0 in thetiven fiure, it 4B II DC, find the value of x.

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21.

55. If nh term of an AP is 7n-1 then7A) First term- 6B) Common differenceC) Sum of n terms-(7n 5) D) Second term - 15C) Sum of n terms -D) Second term15

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If nth term of AP is (7n - 1)

Then,For n=1,First term = 7*1 - 1 = 6

(A) is correct option

22.

2How many terms of the A.P. -6,are needed to give the sum -252,5.. are needed to give the sum -25?Explain the double answer.

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23.

A triangle and a parallelogram have the same base and the same area. If the sides ofthe triangle are 26 cm, 28 cm and 30 cm, and the parallelogram stands on the base28 cm, find the height of the parallelogram.

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24.

A triangle and a parallelogram have the sane base and the same area. If the sides ofthe triangle are 26 cm, 28 cm and 30 cm, and the parallelogram stands on the base28 cm, find the height of the parallelogram.

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25.

A triangle and a parallelogram have the same base and the same area. If the sides ofthe triangle are 26 cm, 28 cm and 30 cm, and the parallelogram stands28 cm, find the height of the parallelogram.4.on the base

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26.

11. A rectangular sheet of acrylic is 34 cm by 24 cm. From it, 64 circular buttons, each ofdiaineter 3.5 cm, have been cut out. Find the area of the remaining sheet.

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27.

the triangle are 26 em. 28 cm and 30 em, and the parallelogram28 cm, find the height of the parallelogram.ofram stands on the basee A triangle and a parallelogram have the same base and the same area. I

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28.

Q.5. Answer in Brief.(1)Give difference between data and information.

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Dataare simply facts or figures — bits ofinformation, but notinformationitself. Whendataare processed, interpreted, organized, structured or presented so as to make them meaningful or useful, they are calledinformation.Informationprovides context fordata.

29.

. A toy is in the form of a cone of radius 3.5cmmounted on a hemisphere of same radius. The |total height of the toy is 15.5cm. Find the totalsurface area of the toy[HSLC , 161 і

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30.

Find area of the trianqle formedby the co-ordlinate axes and the line

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2x + 3y = 6

x/3 + y/2 = 1

Therefore, x- intercept = 3 & y - intercept = 2

Area of triangle, AOB = 1/2 * base * height = 1/2 * 3 * 2 = 3 units

its a question of straight lines ch-10 ncert of class 11, we need co-ordinates of the triangle vertices and then find the area

31.

A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius.The total height of the toy is 15.5 cm. Find the total surface area of the toy

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32.

1. The altitude of a triangle is two-third the lengthof its corresponding base. If the attitude increasedby 4 cm and the base decreased by 2 cm, the areaof the triangle remains the same. Find the baseand the altitude of the triangle.

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it is veey beautiful so much altitude

33.

A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius.The total height of the toy is 15.5 cm. Find the total surface area of the toy.

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34.

12. If cup of water is required to make acup of tea, find the total quantity of waterrequired for 24 cups of tea.

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To find this3/4*24=3*6=18cups of water required.

3/4×24=3×6=18 cups of water

3/4×24=6×3 coups of water

35.

aind thu ameumt and the

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36.

LA1ICAnAindinlenorth Bom and 1Poralel Siole areHom and 6um

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37.

toffees are bought at 2 rupees and sold at 5 for 3. find the gain or loss percent

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38.

4. Find the gain per cent. if toffees are bought at the rate of 5for a rupee and sold at 2 for a pupee.

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150 percentage

39.

9 sctes JEERERE R27 3, श्र पद 1 / 925;

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The mode of a set of data values is the value that appears most often.

Number of 2's = 1Number of 3's = 3Number of 5's = 2Number of 10's = 1Number of 11's = 1

The mode is 3.

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40.

The sum of two integers is -15. If one of them is 8. find the other.id

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Sum of two integers= -15sox+y= -15now8+y= -15y= -15-8= -23

41.

The cost of painting the total surface area of a cone at 25 paise per cm is R176. Find thevolume of the cone, if its slant height is 25 cm.

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42.

5.A type of green paint is made by mixing 2 cups of yellow with 3.5 cups of bluea. Find a mixture that will make the same shade of green but a smaller amount

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43.

he capacity of a cuboidal shaped tank is 12 litres. If the area of the bas750 sq cm, then the height of the tank is)10 cm (2) 12 cm (3) 16 cm (4) 20 crm

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44.

eter of the basDiameter of the basesurface area.e of a cone is 10.5 cm and its slant height is 10 cm.coa1 oueface area of a cone ifits slant beichtin1

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45.

7 quest2Tanya bought 25 toffees. She ate of them. How many toffesid she eat?

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She bought 25 toffees She ate 1/5 of themSo, she ate 1/5×25 = 5 She ate 5 toffees.

46.

AHswer tile ToWhat are talons?winhhad feet in birds?

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Ans :- A talon is a large, hooked claw. Although talons are usually associated with eagles, hawks and other birds of prey, you can also use the word to describe the flesh-tearing claws or fingernails of raptors, werewolves or even enraged preschoolers.

47.

31 3 -

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x+1/3= x-1/23x-3= 2x+23x-2x= 2+3x= 5

X=5 is a correct answer

( x+1)2=3( x-1); 2x+2=3x-3; 3x-2x=5; x=5

3x-3=2x+23x+2x=2+35x=5x=1

48.

find the fourth term of proportion whose first second and third terms are 4,19 and 32 respectively?

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49.

The first three terms of a proportion are 4, 3 and 2Find its fourth term.

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50.

The cost of painting the total surface area of a cone at 25 paise per cm? is176. Find thevolume of the cone, if its slant height is 25 cm.

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Painting cost = 25paise/cm² = 0.25rupee/cm²

πr(l+r) = 176/0.25 =704cm²πr(25+r) =70425r +r²

= 704/π =224.1

r²+25r-224.1 = 0

r = (-25±√(25²+4×224.1))/2r = -32 , 7

so, r =7cmh = √(25²-7²) = 24cm

so, volume = πr²h/3 =1231.5 cm³