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.

Amit and hig sicher ye are i 7

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45\ sister age = 5\445*4\5= sister age36 year

let the ratio be xso, 5x=45therefore, x=9so, his sister's age is 4x= 36(answer)

2.

find a+y, given that x, ye R

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3.

W E FOLLOWING1) A (0.9), B(1,11), C(3.13) and D (7. k) are four points. If AB 1 CD then findk!2) Find the equation of a line passing through the nit (2.

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4.

legnt or a cu bold whose volume 15ratio of length, breadth and height of a cuboid is 5: 3 1 and its v4. (a) What wilis imensios. lo m, 6m,2m4. (a) What will happen to the volume of a cuboid if its length is halved, breadth is trippledand height is doubled? 3 hmeshucuboidal boxes can be stored in it if the volume of one box is 0.8 m?4oooo(b) A godown is in the form of a cuboid of measures 60 m x 40 mCYLIectangular piece djearly, the height of thefaces (base) isWhen a vertical edges comGiald a nit. which is 201he circular faces (ba: Unsharpened

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5.

In the right angled Δ XYZ, LXYZ-90° anda.b.c are the lengths of the sides as shown inthe figure. Write the following ratios,(i) sin X (ii) tan Z (ii) cos X (iv) tan XFig. 8.13

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6.

f(x)=\int_{0}^{x} t \sin t d t, \text { then write the value of } f^{\prime}(x)

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Using fundamental theroem of calculus that is we get thatf'(x) = x sinx

7.

- Ror what value of k, the quadratic equation (3k +1)x+ + 2(k+1)x + 1 = 0 has equal roots ?

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8.

Etwo zeroes ef the polynomíalxa_6rs _ 26r +138-35 are 2ะเ3,find ocher serves.

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thank you so much

9.

16 and B are the serves B the polyestrual2? +82 +12 shen bind the value of the following100 2+B cio ab us dene?C 22 + B2 Evo 28 +33 (vi) -(vii) EB2

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10.

Find the following:1-1-ا ب:.81" | در-- :--2

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1/3÷1/2=2/32)8/3÷1 1/28/3÷3/216/9

1)2/3 2)16/9 is a is the correct answer of the given question

11.

7.150(a) Find tytz(b) Find x+yztw

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Sum of all angles of quadrilateral=360so,let unknown no be 'a'120+80+60+a=360260+a=360a=360-260a=100

x=180-120=60

y=180-80=100

z=180-60=120

w=180-a=180-100=80

now,x + Y + Z + w = 80+120+100+60360°

thanks

12.

there is 15L of soup in a pot.Surbhi serves 400ml in each bowl . If she fills 28 bowls,how much soup is left in the pot?

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400×28=9200ml1L=1000ml9200ml=9.2L15-9.2=5.8L:soup left is equal to 5.8L

correct answer is 5.8 L

the answer to how much soup is left is equal to 5.8Liters

13.

Add the following.1 1, 1b.

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1) 4 3/5 + 5 1/5 + 2 1/2 = 23/5 + 26/5 + 5/2 = (46 + 52 + 25)/10 = 123/10 = 12.3

2) 3/8 + 5/9 + 1/6 = (27 + 40 + 12)/72 = 79/72

14.

4. Evaluate the following:1 2 12 5 31 1 4 2(2 3 5

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15.

6.Verify the following+1nit-1 +

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what is the answer of this question

yes they are verfy your answer is LHS =RHS

-3/4=-3/4so, it is verified that LHS=RHS

16.

7.Tabulate the differences between a ray, a lineand a line-segment

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17.

l cos.xtsin 1-sin xWrite the simplest form of the following:1 cosxan (1-sin1-sinx

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18.

A park, in the shape of a quadrilateral ABCD, has CAl(1) = 5 m and AD = 8 m How mucharea does it occupy

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19.

the house al the rate of R55 per3. The shape of a garden is rectangular in the midle and seni circularFind the area and the perimeterat the ends as shown in the diagram.T of this garden (Length of rectangle is7 a20-(3.5 +3.5) metues)

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20.

6. In the adjoining figure, ABCD is a rhombus.Find the measure of the following angles, ifACB = 30° :i) BOC(iii) LOAD(ii) Z CB0(iv) Z ABO

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21.

EXERCISE 10.530%1./In Fig. 10.36, A,B and C are three points on acircle with centre O such that Z BOC 30° andZ AOB 600. If D is a point on the circle otherthan the arc ABC, find ZADCFig. 10.36

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thanx.

22.

EXERCISE 10.51. In Fig. 10.36, A,B and C are three points on acircle with centre O such that Z BOC 30° andAOB 60°. If D is a point on the circle otherthan the arc ABC, find ZADC.

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23.

neterore, by Theorem 10.12, he quadatEXERCISE 10.53091.In Fig. 10.36, A,B and C are three points on acircle with centre O such that L BOC 30° and< AOB = 60°. If D is a point on the circle otherthan the arc ABC, find LADC.

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Given:

∠AOB = 60°

∠BOC= 30°

Here,∠AOC = ∠AOB + ∠BOC

∠AOC = 60°+30°

∠AOC = 90°

Since Arc ABC makes an angle of 90° at the centre of the circle.

∠ADC= 1/2∠AOC

[SINCE THE ANGLE SUBTENDED BY AN ARC AT THE CENTRE IS DOUBLE THE ANGLE SUBTENDED BY IT AT ANY POINT ON THE REMAINING PART OF THE CIRCLE]

∠ADC= 1/2(90°)

∠ADC= 45°

Hence, ∠ADC= 45°

24.

EXERCISE 10.5301. In Fig. 10.36, A,B and C are three points on acircle with centre O such that BOC 30° andL AOB 600. If D is a point on the circle other0.than the arc ABC, find ZADC.Fig. 10.36

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∠AOB = 60°

∠BOC= 30°

Here,∠AOC = ∠AOB + ∠BOC

∠AOC = 60°+30°

∠AOC = 90°

Since Arc ABC makes an angle of 90° at the centre of the circle.

∠ADC= 1/2∠AOC

[SINCE THE ANGLE SUBTENDED BY AN ARC AT THE CENTRE IS DOUBLE THE ANGLE SUBTENDED BY IT AT ANY POINT ON THE REMAINING PART OF THE CIRCLE]

∠ADC= 1/2(90°)

∠ADC= 45°

Hence, ∠ADC= 45°

25.

。15. In a isosceles dABC, the bisectors otz B and 2C meet at a point O. If L A = 400thenBOC=?

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26.

Therefore, by TmercnEXERCISE 10.51. In Fig. 10.36, A,B and C are three points on acircle with centre O such that Z BOC 30 and< AOB = 60°. If D is a point on the circle otherthan the arc ABC, find LADC.

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thank a lot

27.

ł. Explain whether 3 x 12 x 101 + 4 is a prime number or a composite number

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28.

SECTIONA(/2maI.Explain whether 3 × 12 × 101 + 4 is a prime number or a composite number.

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To prove:3 × 12 × 101 + 4 is a prime or composite numberSolution:3 × 12 × 101 + 4 = 3 ×( 3 × 4) × 101 + 4

= 4 [ 3 × 3 × 101 + 1 ]

= 4 × k [ where k = 3 × 3 × 101 + 1] ,

= 4 × k × 1

is a composite number as it has 3 factors

Therefore ,

3 × 12 × 101 + 4 is a composite number

Answer: 3 × 12 × 101 + 4 is a composite number

explain whether 3*12*101+4 is a prime or composite number

29.

Explain whether 3 x 12 x 101 + 4 is a prime number or a composite number

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3×12×101+43×12×101+2×2Take 2 common2(3×6×101+2)This shows number is divisible by 2 which explains that it is a composite number

30.

90In a Δ ABC, if AB-AC and LA700,find < Barid LC .A.A ABC and parallelogram ABDE are on the base AB and between the sarmeparallels AB and CD. If the area ( Δ ABC,-10 cm, what is the area ofnarallelogram ARDE

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Ifthey havesamealtitude, they will liebetween the same parallels. Hence the area of thetrianglewill be equal to half that of theparallelogram

Area of traingle abc=1/2Area of parallelogramArea of parallelogram=2×Area of triangle abcHence area of parallelogram=2×10=20cm^2

31.

कक लएI I S‘ F atbtC= कम कि .Er 154510 e AT ': : Page

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​This is the solution to the given problem.

NOTE:- All those terms with S1 or P1 become zero, because the value of P1=S1=0.

This method is way easier than using traditional methods.

It will be 8Answer 8

Please let me know if you have understood this or not

32.

(ii)atbtca 261 +61 +calabca

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(a+b+c)÷1/ab+1/bc+1ca (a+b+c)÷(a+b+c)/abc1÷1/abcabc

33.

II IIIa b catbtcthenP.T. (a+b)(b + c) (+a)=0.

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1/a + 1/b + 1/c = 1/a+b+c

(ab+bc+ca)/abc = 1/(a+b+c)

=>abc = a^2b+ab^2+ac^2+a^2c+b^2c+bc^2+3abc

=>a^2b+ab^2+ac^2+a^2c+b^2c+bc^2+2ab = 0

(a+b)(b+c)(c+a) = (ab+ac+b^2+bc)(c+a)

= abc+ac^2+b^2c+bc^2+a^2c+a^2b+b^2a+abc

= 0

34.

and BC2 om

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Thanks

35.

13. In the given figure, the angle bisectors of ZB and ZC meet at O.Find L BOC.(b) 90 B/2(d) 90 A/2(a)90 + A/2(c) 90+ C/2

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36.

13. In the given figure, the angle bisectors of Band 4C meet at OFind Z BOC0(a) 90+A/2(c) 90+ C/2(b) 90+B/2(d) 90-A/2

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angle B+C = 180-A=> (B+C)/2 = 90-A/2

so, (B+C)/2 + BOC = 180=> BOC = 180-(B+C)/2 = 180-90+A/2 = 90+A/2 option A

thanks

37.

In a single throw of a die, find the probabilitythat the number:8.(i) will be an even number(ii) will be an odd number(ili) will not be an even number.

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Sample space : 1, 2, 3, 4, 5, 6

Total possibilities = 6

i) A=getting an even number={2,4,6}

P(A) = 3/6 = 1/2

ii) B = getting an odd number = {1, 3, 5}

P(B) = 3/6 = 1/2

iii) C = not an even number = { 1, 3, 5} P(C) = 3/6 = 1/2

38.

26. The square of which of the following numbers is the difference between the49th even number after 1575 and 70th even number before 1028?

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Answer:

28

Step-by-step explanation:

Let the number be 'x'

49th even number after 1575 will be same as 49th even number after 1574

= 1574 + 2* 49 = 1574 + 98

= 1672

70 th even number before 1028 will be =

1028 - 70*2

= 1028 - 140

= 888,

Given x² = 1672 - 888

⇒ x² = 784

⇒ x = 28 .

hit like if you find it useful

yes

39.

hrown. If (i)A is an event of getting an even number, (ii)lAny Two)4prime number, then write the sample space.the number of sampleFill in the boxes.ints.n(S)mounis the event of getting an even numbert i ii)B is the event of getting a prime numbern(B)

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s={1,2,3,4,5,6} n(s)=6A={2,4,6} n(A)=3B={2,3,5} n(B)=3

40.

(a) Write down the only prime number which is only even number.

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The only prime number that is even is 2.

yes

aapka answer galat hai

41.

I. IfAABC ~ ΔDEF, BC = 3 cm, EF = 4 cm and ar(AABC) = 54 cm2. Determinear (AIPE).

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thnx

42.

If A ABC ~ ΔDEF, BC = 3 cm, EF = 4 cm and ar(AABC) = 54 cm2. Determinear (ADEF).

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43.

3x + ax + b, indOR)parallelogram ABEF are on the same base, ABGinthe same parallelsAB and EF prove thatar (AABC)2ar (parallelogram ABEF) In the adjacent f

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44.

Δ ABC ~ Δ DEF. If BC-3 cm, EF-4 cm and ar(Δ ABC)-144 cm2, then ar(Δ DEF)

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ABC~DEFso areaABC/areaDEF=BC/EF144/areaDEF=3/4so areaDEF=(144×4)/3=48×4=192cm*cm

45.

4ry15.sec2 θ =- is true if and only if (19962(a)(c)(x + y)x+y*0x=y(b) x y,x 0(d), x#0, y # 0

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46.

163d F are respectively the mid-points of the sides BC, CA and AB of a Δ ABCShow thatEF is a parallelogram(ii) ar (DEF)=-ar (ABC)4i) ar (BDEF)ar(ABC)2

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47.

atbTc)(atb-C)

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(a + b + c) ( a + b - c)

( a + b)² - c²

a² + b² + 2ab - c²

48.

atb-c)(b+c-a)

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49.

If AABC ADEF such that ar(AABC) is 9 cm2 and ar(ADEF) is 25 cm2 andBC 2.7 cm. Find the length of EF.

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50.

ABCD is a parallelogram. E and F are points on side AB such that AE=EF=EB. Show that ar(OAE) = 1/6 ar (ABCD)

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