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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Answer» 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) |
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| 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 ΠXYZ, 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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Answer» Using fundamental theroem of calculus that is we get thatf'(x) = x sinx |
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| 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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Answer» thank you so much |
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| 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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Answer» 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 |
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| 11. |
7.150(a) Find tytz(b) Find x+yztw |
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Answer» 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 |
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| 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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Answer» 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 |
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| 13. |
Add the following.1 1, 1b. |
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Answer» 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 |
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| 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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Answer» 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 |
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| 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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Answer» thanx. |
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| 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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Answer» 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° |
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| 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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Answer» ∠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° |
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| 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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Answer» thank a lot |
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| 27. |
Ĺ. 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 Ă 12 Ă 101 + 4 is a prime number or a composite number. |
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Answer» 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 |
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| 29. |
Explain whether 3 x 12 x 101 + 4 is a prime number or a composite number |
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Answer» 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 |
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| 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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Answer» 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 |
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| 31. |
कक लएI I S‘ F atbtC= कम कि .Er 154510 e AT ': : Page |
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Answer» 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 |
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| 32. |
(ii)atbtca 261 +61 +calabca |
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Answer» (a+b+c)÷1/ab+1/bc+1ca (a+b+c)÷(a+b+c)/abc1÷1/abcabc |
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| 33. |
II IIIa b catbtcthenP.T. (a+b)(b + c) (+a)=0. |
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Answer» 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 |
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| 34. |
and BC2 om |
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Answer» Thanks |
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| 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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Answer» 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 |
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| 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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Answer» 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 |
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| 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» 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 |
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| 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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Answer» s={1,2,3,4,5,6} n(s)=6A={2,4,6} n(A)=3B={2,3,5} n(B)=3 |
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| 40. |
(a) Write down the only prime number which is only even number. |
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Answer» The only prime number that is even is 2. yes aapka answer galat hai |
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| 41. |
I. IfAABC ~ ÎDEF, BC = 3 cm, EF = 4 cm and ar(AABC) = 54 cm2. Determinear (AIPE). |
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Answer» thnx |
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| 42. |
If A ABC ~ ÎDEF, 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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Answer» ABC~DEFso areaABC/areaDEF=BC/EF144/areaDEF=3/4so areaDEF=(144×4)/3=48×4=192cm*cm |
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| 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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Answer» (a + b + c) ( a + b - c) ( a + b)² - c² a² + b² + 2ab - c² |
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| 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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Answer» 1 2 |
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