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.

Cvenm AOC ls a straight anglem2 BOC62-25。2

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thanks

2.

Prove that A - (BOC) = (A - B) U (A-C)

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3.

14. In Fig.9.28, AP |BQll CR. Prove thatar (AQC)-ar (PBR).

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4.

In Eig 9.28, AP II BQIl CR. Prove thatar (PBR).=ar (AQC)

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5.

Section (D) Means, Inequalities A.M. 2 GM. 2 H.M1.Every term ofan infinite GP is thrice the sum ofall the successive terms. If the sum ofthe sum of the GP is-(A).20(B) 16(C) 28(D)30

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6.

39. Calculate the area enclosed by thegiven shapes. All measurements arein centimeters.(o

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7.

6. Draw all possible lines of symmetry in the given shapes. .(2 × 0.5 = 1)a.b.」J

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8.

140°11. In the given figure, AB AC andZACD = 140"then find the angleof A ABC

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9.

14. Find the value of x in each of the following figures.130140-551140 130Fig: 12.12

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10.

u this boundary cost?9. Find the perimeter of the given shapes.5.6 cm4 cmiV7 cm←-10.8 cm ㅡㅡnre nf a circular

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please like my answer if you find it useful

11.

Q.42 Observe the figure and find the value of x.(2) 40°(3) 25°(4) 35°15 2 155

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angle 1 = 155° - (x + 15°)

(By exterior angle theorem)

angle 1 = 155° - x - 15° = 140° - x

As L is staright line so,

angle 1 + x + x = 180°

140 - x + x + x = 140°

x = 40°

(2) option is correct

12.

.DA Taxd Boc(0 x+14x +45 (i)(iv) -22x+ 120 ()(vil) y -4y 21(vii)x(0 p2-8p 65 (i) x(iv) 14-3a-5a(v) 30) 2x2 + 3x+1(iv) 6u2 +17u12 (v)

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13.

0.46mmA) 114B) 669C) 342D) 666

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option b is the correct answer of the given

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Option B ie crrct answer

14.

16. From the given figure, prove that() BX AP(ii) AP CR 2BG:J oint of the side AR of a

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The given figure is a trapezium are the points B and Q mid points of their respective sides.

We know that sum of parallel sides is equal to twice of the line joining the mid points of non parallel sides.

You can use the mid point theorem and its conversefor solving the question.

In triangle ACP,X is mid point of PC [converse of mid point theorem]

Also BX =1/2 AP [mid point theorem].(1)

​Similarly by using both theorems in triangle CRP,We can prove

XQ=1/2 CR .(2)(1)+(2)= BX +XQ= 1/2(AP+CR)​This implies AP+CR=2 BQ

15.

2.peFind the value of a and b, given thatp//qandr|| s.800

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80=2a (alternate interior angles )2a=80a=80/2a=40°angle which is adjacent to 80 =110 (angle of straight line is 180)angle b=110°(alternative interior angle)

16.

les in the given figures140

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crop the question properly otherwise how can we answer it

17.

Find the Perimeter of given figures.

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18.

13. In the given figures, find x, y or z

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As both sides are equal so angle must be equal x + x + 80° = 180°2x = 180° - 802x = 100°x = 50°

thanks you daily answer me please please

19.

Find the measure of angle 'a' in the given figures.

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Use exterior angle theoremA) a = 80° + 60° = 140°

B) a = 70° - 35° = 35°

C)a = 145° + 25° = 170°

20.

a a +b a+b+ cmple 11 Prove that 2a 3a +2b 4a+3b +2ca3a6a + 3b10a+6b+3c

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21.

Let product of two rational numbers beIf one of the numbers16s-- , then the another number is

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Let the other number be X. Then, (-4/3)X = (-9/16)=> X = (9*3)/(16*4)=> X = 27/64.

Please hit the like button if this helped you.

22.

37. A train has to negotiate a curve of radius 400 m. By how much should theouter rail be raised with respect to the inner rail for a speed of 48 kmh-1? Thedistance between the rails is 1 m.(Ans: 0.0454 m)

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Radius of curved path is r. width of path is b m. the outer edge is raised by h w.r.t inner edge so that a car with speed v can pass safe over it. the value of h is

tanθ = v²/rg=h/bh

=v ²b/rg substituting the values according to given question,

v=48km/h =(48x 1000)/60x60m/s⇒40/3 m/s

b=1m

r=400mg=9.8m/s2h=(40/3)²x1/400x9.8

⇒0.0454 m

∴⇒4.54cm

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23.

7.If the radius of a circle is increased by 100% then the area is increased by(1) 100%(2) 200%(3) 300%(4) 400%

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24.

(i)i) In the picture (i) ABICD. Find the value x.li)ii) In the picture ABII CD find the value of x.8. In the picture ABi/CD prove that p+q18007.↑↑130A.-r=

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25.

6 A torque of 400 Nm acting on a body of mass kg. produces an angularacceleration of 20 rad/s. Calculate the moment of inertia & radius of gyrationof body.

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26.

In the given figure (10.52), ABICD and <F = 30°. Find <ECD.

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27.

to. In the given figure, ABICD. Prove that p q-rthatp-180

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28.

hethe given figure,ICFE. Find the anglesABICD IFE. Find thex and y75°25°

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y + 25° = 75° ( Alternate angle)y = 75° -25°y = 50°x + 25° = 180°x = 180° - 25°x = 155°

great sir

29.

7. In the fig, PR is the angle bisetor of LAPo. Prove that ABICD.

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since PR is the bisector of angle APQ , so angle APQ = 2× RPQ = 2*38 = 76°

now angle PQD + 104° = 180°.. ( linear pair)

so angle PQD = 180° -104° = 76°

and since angle PQD = APQ , so, we can say that they form an alternate interior angle pair..Hence AB || CD

30.

MPLE 2Find the angle between the planes whose vector equations areЛА

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31.

mple 11:Find the average of 4.2, 3.8 and 7.6.

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average =4.2+3.8+7.6/3=5.2

32.

कप “कर उपर लव Spy पद]वर कि मुलर व हल हो बम नल कक डे doniod का.

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33.

If the length of diagonal AC of a square ABCD is 5.2 cm then area of the square ABCD is:

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34.

13.There are two wires of length 44 cm each. One wire is turned to give theform of a circle and the other is turned in the form of a square. Find thedifference in the areas of two figures so formed.(1) 110 cm2(3) 66 cm2(2) 33 cm2(4) 44 cm2

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Wire 1 = 44 cm diameter

Therefore radius = d/2 =44/2 = 22cm

Area = π r^2 = 1,521.147 cm^2

Wire 2 = 44 cm Length

Therefore Area of sq. = L times L = 44 times 44 = 1,936 sq. cm

Difference = 414.85sq. cm

35.

cos α cos β cos α sin β -sinaEvaluate l-sin βsin α cos βQuestion 3,cossin α sin βcos α

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36.

3 Evaluate sin L’ -———J—32 2

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37.

denomination does he haver26. Arya has300 in coins of denomination ?1,R5 in her piggy bank. The number oftoff2 andcoins is 5 times the number of ?5 coins. The total number of coins is 170. How many oeach denomination are with her?Co

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38.

\begin{array}{l}{\text { Example } 9 . \text { Evaluate: }} \\ {\text { (i) } \lim _{x \rightarrow a} \frac{\sin x-\sin a}{\sqrt{x}-\sqrt{a}}}\end{array}

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thanks

39.

2 The radius of a roller is 60 cm and its length is 84 cm. Find the area of the groundpressed by it in 500 revolutions.

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40.

In the given figure, LABC = 90° and BDLAC. If BD-8 cm, AD = 4 cm, find CD8 cm

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41.

(2) The radius of a roller is 60 cm and its length is 84 cm. Find the area of the groundpressed by it in 500 revolutions.

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42.

dtdx

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43.

Gos ¢ | dicFce—— o

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the limt is from 0 to π not o to π÷2

44.

eaticn of dic op and otomn of a building so metes high aobserved from the top of a tower are 30° and 60, respectively. Find the height of thetower and also the horizontal distance between the building and the tower

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Here CD is the tower and AB is the pole.

In △CDB, CD/BC = tan 60°

=> 50m/BC = √3

=> BC = 50/√3m

AE = BC

AE = 50/√3m

In △ADE, DE/AE = tan 30°

=> DE/50/√3m = 1/√3

=> DE = 50/3m

so the height of the pole is 50/3m

45.

2. Today is Lakshmi's birthday. She turned 24. Lakshmiis twice as old as Ramu was when Lakshmi was asold as Ramu now. How old is Ramu now?

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46.

01SECTIONIf one zero of the polynomial xi_5x+kis -4, then the value of k isa 36b) 36c) 18d)-18

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-36; is the correct answer of the given question

-36 is a right answer

-36 is the correct answer

-36 is the correct answer

-,36,is the right answer

-36is correctanswer

this is correct option

x²-5x+k=0...(i)one of the zero is -4so let x=-4putting in (i) we get(-4)²-5(-4)+k=016+20+k=036+k=0thereforek=-36so option (b) is the correct answer

47.

9. In Fig. 8.44, if PR-PS, PT = PQ、ZPTs-ZPOR 90, prove that RO ST and RT SQFig. 8.44

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48.

130°110°4. In Fig. 6.31, if PO I ST, 2 POR - 110° andZRST 130°, find ZQRS,(Hint: Draw a line parallel to ST throughpoint RJople

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49.

Three numbers are in the ratio 3 : 4:5. The sum of their cubes is 27000. Find thenumbers.

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50.

Dt.6

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360/60 = 6