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.

24. In the given figure, ABC is a triangle in which ZA : ZB: ZC 3:2:1and AC LCD. Find the measure of LECD

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2.

Fig. 1036, ZA = ZB + ZC. Find the measure of ZA.coFig. 10.36Is Properties

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a= b-c is the answer

in a traingle total angle is 180 ieangle A +angle B + angle C =180A+B+C =+80given A=B+CsubstituteA+A=1802A=180A=90

angle A is 90 degrees is answer

a=b-c is the correct answer

angle A + angle B + angle C = 180given A=B+Cso B+C=AA+A=180 2A=180 A=180/2 A=90°measure of angle A is 90°.

angle A is 90 degrees is the correct answer

A 90 degree is the correct answer to your question I hope that my answer helped u in doing ur work

A=90° is the correct answer

3.

Multiply:a. 2/6 X 54b. 27/40 X 20/21

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18

4.

a+b=54 a-b=34give value a and b

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adding both the equations we will get2a=88hence a=44put in equation 144+b=54b=54-44=10

5.

(38 + 20) - (38 न 20) न 2(1) 54870 + 160(2) 10880 + 160(39) 108a’b - 160(4) 54ab> — 16D’

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Ans=108a^2b+16b^3.

6.

Сл32. निम्नलिखित बारंबारता बंटन का माध्य ज्ञात कीजिए :वर्ग अन्तराल 100-120 120-140 140-160 160-180 180-200वारंवारता 12 148| 10Find the mean of the following frequencydistribution:classIntervat 100-120 120-140 140-160 160-180|180-200||Frequencu12 148 6 10 ।

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7.

4. "If α, β, γ are zeroes of polynomial 2r3-4x2 + 6c-9-n, lhen find the value of α,

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8.

2. A shopkeeper bought a bicycle for3000 and sold the same for 3400.How much was his profit?

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₹3400-₹3000=₹400so, his profit was ₹400

CP=3000SP=3400Profit=SP-CP =3400-3000 =400

400 rupya profitcorrect answer for this question

3400-3000400So,his profit =400

rupees 3000 - rupees 3400 equal— to rupees 400

CP=₹3000SP=₹3400Profit=?According To The Formula...Profit=SP-CP =3400-3000 =₹400

is the best answer

Rs 3400- Rs 3000 =so profit was Rs 400

Bought price =₹3000Sold price=₹3400Profit=sold price - bought price=₹3400-₹3000=₹400

RS 3400-Rs3000=so profit was RS 400

₹3400-₹3000=₹400answer.

3400-3000400 so, his profit =400

he had got 400 profit

CP=3000SP=3400profit=SP-CP =3400-3000 =400 is the answer for this question

400 is the correct answer

Selling price - Cost price= 3400-3000=400profit =400rs

400 RS.is correct answer .

He is having profit of 400 Rs

9.

| 140-145'145-150150155. 155-160160-165

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10.

\frac{\tan 160^{\circ}-\tan 110^{\circ}}{1+\tan 160^{\circ} \cdot \tan 110^{\circ}}=\frac{1-\lambda^{2}}{2 \lambda}

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reply please!

reply please!

The above solution is correct.

11.

6LA = 3 LB = LC,finoIn a Δ4BC, ifZA, LB and ZC.

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in triangle ABC,angle A + angle B + angle C = 180 C/6+ C/3+ C = 1809C/6 = 180C = (180× 6)/9C= 20× 6C = 120so angles are 120, 40, 20

12.

In adABC if2LA = 32B-62C, finaZA, 2B and 26,Ans. ZA 90°, B 60°, C-30

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13.

21. If the points A(k + 1, 2k), B(3k, 2k + 3) and C(5k - 1, 5k) are collinear, thenfind the value of k

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Given:

If A (x1, y1) , B(x2, y2), C(x2,y2) To find: the value of k If three points are collinear then

area of triangleABC = 0

1/2 { (x1[ y2-y1] +x2[y3-y1]+x3[y1-y2] } =0

given A(k+1,2k) ,B(3k,2k+3) ,C(5k-1,5k)

therefore

1/2l(k+1)[2k+3-5k]+3k[5k-2k]+(5k-1)[2k-(2k+3)]l=0

(k+1)[3-3k]+3k*3k+(5k-1)(-3)=03k-3k²+3-3k+9k²-15k+3=06k²-15k+6=0

divide each term with 2

2k²-5k+2=02k²-4k-k+2=02k(k-2)-(k-2)=0(k-2)(2k-1)=0k-2 =- or 2k-1 =0

k=2 or k= 1/2

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14.

5. If P (9a -2,- b) divides the line segment joining A (3a + 1, -3) and B (82,5) in the ra7.3:1, find the values of a and b.ÎNCERT EXEMPLAs.

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15.

017. Factorization of 36a -(x-y)3P-56

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We can use formula of a^2-b^2 here(6a)^2-(x-y)^2(6a+x-y)(6a-x+y)a^2-b^2= (a+b)(a-b)

16.

2.) Find the factors of the tollowsa) 9a -54b) 6

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9a-54= 9(a- 6) so 9 and (a-6) are factor

17.

13. In a ABC,if 24A-34B-64C, calculate the measure of 4B.

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18.

Write the simplest form of 0.54

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19.

(ii) 643+100 = 0, , Flo

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643 ÷ 100 भा. = 6 शेष = 43

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20.

x^2-25x+100=0, x=?

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x = 20 Or, 5 is the answer of the question

20 ,5 is the correct answer of the given question

21.

9. Write in simplest form:57624

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576/(-24)=(24×24)/(-24)=(-24)/1

the answer is 576/(-24)= (24×24)/ (-24)= (-24) / 1

22.

a school, there are 3400 studens, Ithem are boys, hnd the number of girls, 65%er

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In the school, there are 3400 students.Percentage of boys=65%Percentage of girls=35%∴Number of girls=35% of 3400=(35/100)×3400=1190

23.

-8.Write in the simplest form.10

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24.

In a AABC, if32A42B 6C, calculate the angles.

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3A = 4B = 6C B = 3A/4 C = A/2 A + B + C = 180 A + 3A/4 + A/2 = 180 (4A+3A+2A) = 180×4 9A = 180×4 A = 80 B = 3×80/4 = 60 C = 80/2 = 40

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25.

204, Hnd the numbers. T O2. Find two numbers such that their sum is 27056 anddifference 846.

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Let the two numbers be X and y hence X+y=27056and x-y=846add both 2x=27902X=13951hencey=27056-13951=13105

26.

Q1. Write -8/6 in the simplest form.

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-8/6 in the simplest formhencedivide by 2-4/3 is the simplest form

27.

Write the ratio 30 to 65 as a fraction in simplest form.

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Ratio 30:65 as fraction can be written as = 30/65

Now in simplest form30/65 = 6/13

28.

(e) चतुर्थ ।।14. बिन्दु (-5, 10) की कोटि है ? (What is the ordinate ories010(d) प्रथमः।(b)15. विन्द 10.5) की भजा है...(d)4

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-5 is the correct answer

10 is the correct answer...

-5 is a correct answer

-4.

C) 10 is the ordinate of( -5, 10)

-5 is a correct answer

10 is perfect answer

10 Is the best answer

10 is the correct answer

10 is the best answer and correct answer

-5 is the right answer

10 or -5 is correct answer

10 ............... . .

29.

6cQ45-4 then 4-2-

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4b-5=6c/3+84b-5=2c+84b-2c=8+54b-2c=13

thnks didi

30.

13) Multiply:a?b2, 12a2b and 6c.

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(5/8)a^3b^2*12a^2b*6c45a^5b^3c

31.

6. A is a point on the r-axis with abscissa-8 and B is a point on the y-axis withordinate 15. Find the distance AB.

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32.

5 a^2 - 15 a - 6c + 2 ac

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5a*a-15a-6c+2ac = 5a(a-3)+2c(a-3) = (5a+2c)(a-3)

Thanks

33.

+10p+25-16q25m1219a 36a b+36b-81.32b32b

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34.

Find the distance between the point -8/2,2 and 2/5,2

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35.

2. Find the distance between the origin and thepoint:(8, -15)

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36.

Find the value of k, if the point (-8, 6) lies on thelocus+k.22

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[ x^2 / 4 ] + [ y^2 / 3 ] = kPutting the value of x and y as (-8) and (6) respectively, we get:64/4 + 36/3 = k=> k = 16 + 12 => k = 28.

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nice

37.

The number of tangents that can be drawn from the point (8, 6) to the circle x^{2}+y^{2}-100=0 is

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as this point lie on circle therefore one tangent

8² + 6² - 100 = 64 + 36 - 100 = 0. So this point is on the circle. Hence there is exactly one tangent to the circle containing that point

38.

Q15. If a B y are zeroes of the polynomial 6x +32? +5 ct)then find value of 21+ pt tyt

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39.

2. A is a point on x-axis with abscissa - 8 and B is a point on y-axis withordinate 15. Find the distance AB.

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40.

Hnd123 m

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41.

T. U.Ahe number line are such that, TRName the rational numbers represented by ,USR TAPQ1of the tairs represent the same rational number-16 20(i 20 -25and(iii) and912nd220, 8 and 14and 15.(vi) andand-9-95vrite the following rational numbers in the simplest form:45(is72the boxes with the correct symbol out of >, <, and =.2(iii)1(vi)4

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1 by -3 is the best Answer so that these is the answer

42.

Write simplest form of 45/60

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45/60 = 3/4 ( reduced form)

43.

o34 7 er= निकी ही75 - 7203 el

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please like my answer if you find it useful

44.

In the figure, prove that Za Lb + Lc360°

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45.

A is a point on the x-axis with abscissa -8 and B is a point on the y-axis withordinate 15. Find the distance AB.

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that forms a right angled traingle.hence AB = √(-8)^2+(15^2)}√289= 17

46.

7. In Fig. 14.34, ABCD is a parallelogram in which ZA 60°. If the bisectors ofZA and LB meet at P, prove that AD DP, PC BC and DC 2AD

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47.

8. In A4BC, if2ZA 34B 6C, calculate ZA, LB and C.

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angle A + angle B + angle C = 180°3×angle C + 2× angle C + angle C = 1806 × angle C = 180angle C = 30°so angle A = 90°angle B = 60°

48.

(i) In a AABC, if 6LA=32B=<C,findZA, LB and ZC.In a ASUN, if 3 LS=42U=62N, findZS, ZU and ZN(ii)

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49.

In the adjoining figure, ABCD is a Dparallelogram in which ZA-60°. If thebisectors of ZA and LB meet DC at Pprove that ZAPB -90, (6) AD -DP andPB PC BC, (ii) DC-2AD.

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50.

3-An the figure given alongside AO BO and ZA LBiii) Is ΔΑ°C MOD by ASA condition?(ilil What are the three facts which have made AAOC(iv) Is AOC= BOD, why?ABOD?

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1. They are alternate interior angles

sorry they are vertically opposite angles

AOC=DOC....VERTICALLY OPPOSITE ANGLE

AO=BO... GIVENA=B... ALTERNET ANGLE AOC=BOD... V. O. A

AO=BO... GIVENA=B... ALTERNET ANGLE AOC=BOD... V. O. A

AOC=BOD... V. O. A