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. |
6 Radha has a circular ring with a diameterof 49 cm. What is the circumference of thecircular ring? |
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Answer» Diameter is 49 cmSo, radius is 49/2 cmCircumference is 2× pi × rcircumference = 2 × 22/7 × 49/2Circumference = 154 cm |
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| 2. |
17. The weight of a ring is 2y gm, that of a necklace is (3y- 4) gm and that ofabangle is (2y+7)gm. Ifthe total weight is 45gm, find the weight of each |
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| 3. |
da + β)0, then sin (α-β) can be reduced toSe(b) cos 2ß(c) sin a. (d) sin 2o.(a) cos β(d) sin 2αANSW |
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Answer» sorry but I cannot understand show another method sir |
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| 4. |
ti (Construct a quadrilateral ABCD in which AB-54cmAC 4cm.)C45cm, CD = 4.3cm, DA+ 3.5cm and diagonal |
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| 5. |
s.Draw a circle with the help of bangle. And find the center of circle. |
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Answer» 1 2 3 |
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| 6. |
5.Draw a circle with the help of bangle. And find the center of circle. |
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Answer» 1 2 3 |
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| 7. |
the rational nuolve for x, and3x + 2 / x = 2 /3 |
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Answer» 9x+6=2x7x=-6so x=-6/7 |
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| 8. |
2. The given figure shows a circle with centreO. P is mid-point of chord ABShow that OP is perpendicular to AB |
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| 9. |
10. By selling 130 cassettes, a man gains an amount equal to the selling price of 5Find the gain per cent. |
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| 10. |
lling 130 cassettes, a man gains an amount equal to the selling price of 5 caseFind the gain per cent. |
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Answer» Let the cost price of each cassette be rs.10cost price of 130 casts = 130*10=1300by selling , he gained sp of 5 cassettestherefore , cost price of 130 cassettes = selling price of 125 cassettessp of 5 cassettes = 1300/125×5= 52he gained Rs. 52 on selling 130 cassettesgain℅= gain/total cp * 100= 52/1300*100= 4℅ |
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| 11. |
By selling 130 cassettes, a man gains an amount equal to the selling price of 5 cassettes.Find the gain per cent. |
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| 12. |
(B) यदि p(9) =)-2 और qy)=2-1 त p) केज्ञात कीजिए। |
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| 13. |
3. The following figureshows a circle withcentre O.If OP is perpendicularto AB, prove that AAP = BP. |
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Answer» to proof: AP = BPBy const.=draw radius from A to O and from B to OProof : In ΔAOP and ΔBOP AO = BO(radius of circle) angleAPO=angleBPO(each=90°) OP=OP (common) ΔAOP≈ΔBOP(by SAS) by cpct AP=BP |
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| 14. |
px + qy = p - qqx - py + p+ q |
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| 15. |
Subtract the sum of a (a +2b + c) and-b(a-b+2c) from c (-a-b+c) |
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| 16. |
Q: If A + B = 2C and C + D = 2A, thenA) A + C = B+DB) A + C = 2DC) A+D = B+CDA+C = 2B |
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Answer» A) A+C+= B+D is the right answer |
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| 17. |
श् 3 टू पट हिटी _ \D QY— eAe . की के - A % |
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Answer» 10+15+30+55+68+38=235 |
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| 18. |
26.. State and prove the converse of the Pythagoras Theorem.onts from a noint X to the circle with |
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Answer» STATEMENT :- In a triangle if the square of a side is equal to the sum of the squares of other two side then the angle opposite to the first side is a right angle.. |
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| 19. |
Fig. 8.31Vthat the line segments joining the mid-points of the opposite sides of aquadrilateral bisect each otherthrough the mid-noint M of hypotenuse AB |
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| 20. |
25. In the adjoining figure, PQR, is a right triangle, right angled at Q. X and Y aron PO and QR such that Px : xo 1:2 and QY: YR 2:1. Provee the pointsthat 9(PY2 XR) 13 PR2 |
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Answer» In triangle XRQ XQ²+QR²=XR²(2/3PQ)²+QR²=XR²4/9PQ²+QR²=XR² (1)BY Pythagoras THEOREM IN TRIANGLE PYRPQ²+QY²=PY²PQ²+(2/3QR)²= PY² (2)BY PYTHAGORAS PQ²+4/9QR²=PY²IN TRIANGLE PQRPQ²+QR²=PR² (3)PYTHAGORAS THEOREMAdding 1 and 24/9QR²+QR²+4/9PQ²+PQ²=XR²+PY²13/9 QR²+ 13/9 PQ ²= XR²+PY²1/9(13QR²+13PQ²) = XR²+PY²13(QR²+PQ²) =9(XR²+PY²) FROM 3 WE GET 13PR²=9(XR²+PY²) |
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| 21. |
MATHEMATICAL RE1. Factorisation of xy- pq + qy -px is5. |
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Answer» xy-pq+qy-px=xy-px+qy-pq=x(y-p)+q(y-p)=(x+a)(y-p) hit like if you find it useful |
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| 22. |
(B) Solve the following questions. (Any Two)1. The given figure shows the[4 Mameasures of a Joker's cap. Howmuch cloth is needed to make such21 cma cap ?10 cm |
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Answer» Radius = 10 cm height = 21 cm l =√r² +h²l =√10² + 21²l = √100 + 441l = √541l = 23.25 cm cloth required = Curved surface area of one conical cap = πrl= (22/7)×(10)×23.25= 73.07 cm ² Like my answer if you find it useful! |
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| 23. |
10. By selling 130 cassettes, a man gains an amount equal toFind the gain per cent.ual to the selling price of 5 cassettes |
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Answer» Let the cost price of each cassette be rs.10cost price of 130 casts = 130*10=1300by selling , he gained sp of 5 cassettestherefore , cost price of 130 cassettes = selling price of 125 cassettessp of 5 cassettes = 1300/125 * 5= 52he gained Rs. 52 on selling 130 cassettesgain℅= gain/total cp * 100= 52/1300*100= 4℅ |
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| 24. |
26. एक कम्पनी तीन तरह के क्रमिक बट्टे प्रदान करती है।company offers three types of successive discounts:(i) 25% और 15%(ii) 30% और 10%(iii) 35% और 5% |
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Answer» option (ii) is the correct answer ecvc🍈ufjyvj no CR DD hi Chris X thanks jkr a Xdxd VCUXX schooluv j option (iii) is the correct answer ii) 30%&10% is the correct answer option 2nd is the correct answer 2 is the right answer |
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| 25. |
Ans.(1)4 If A and B are two sets such that n(A) 32,1n(B)- 28 and n(AB)-50, then n(A nB) will he(1n 10 |
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| 26. |
56. A trader off[ Ans : 32901ers successive discounts of 20% & 15% what is the total discount a customer |
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Answer» let the actual price be X so, first discount is 20% , so the price becomes x-(20%ofx) => x-0.2x = 0.8x now of the price of 0.8x , another 15% discount is there.. so, again the price drops to = 0.8x -(15% of 0.8x) = 0.8x-0.12x = 0.68x so, total discount on initial price is = (x-0.68x)×100%/x = 0.32*100 = 32% |
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| 27. |
olve the following simul1. (a) x +y 10-Ń 12 |
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Answer» Adding the two equations2x=22 x=1111+y=10 y=-1 |
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| 28. |
6240 का 80% > 225 का 12% >> ? |
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| 29. |
Find x in terms of a, b and c:2cx#a,b,c |
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Answer» given,a/(x-a) + b/(x-b) = 2c/(x-c)[a(x-b)+b(x-a)]/(x-a)(x-b) = 2c/(x-c) (x-c)[a(x-b)+b(x-a)] = 2c(x-a)(x-b) ax^2 – 2abx + bx^2 - acx + 2abc – bcx = 2cx^2 – 2bcx – 2acx + 2abc ax^2+ bx^2 - 2cx^2 = 2abx – acx – bcx (a+b-2c)x^2 = x(2ab – ac – bc)(a+b-2c)x^2 - x(2ab – ac – bc) = 0 x[(a+b-2c)x - (2ab – ac – bc)] = 0 x = 0 or (a+b-2c)x - (2ab – ac – bc) = 0 x = 0 or (a+b-2c)x = (2ab – ac – bc) x = 0 or x = (2ab – ac – bc) / (a+b-2c) thus the 2 roots of the given equation are x = 0 and x = (2ab – ac – bc) / (a+b-2c) |
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| 30. |
Find x in terms of a, b and cb 2c+, x#a,b,c13 |
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| 31. |
olve the following:1) Find the value of x2xx6#x5 for x |
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Answer» Value will bex⁽²⁺⁶⁾/x⁵x⁽⁸⁻⁵⁾x³ |
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| 32. |
(7) P(x)-x2+x-7 d P(-1)= |
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Answer» P(x) = x^2 + x - 7 Then,P(-1) = (-1)^2 + (-1) - 7 = 1 - 1 - 7 = 0 - 7 = - 7 |
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| 33. |
asses1ve that the perpendicular at the point of contact to the tangent to a circle pthrough the centre.nnt from a noint A at distance 5 cm from the centre of the circle is 4 |
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| 34. |
54. The centre of a circle is (2x- 1,3x + 1) and radius is 10 i.Find the value of xnasses through the noint (-1 |
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Answer» Given diameter of the circle = 20 units Radius of the circle = d/2 = 20/2 = 10 units Given center of a circle is (2x - 1, 3x + 1) Given that circle passes through (-3, -1), So, distance of (-3, -1) from the center of the circle should be equal to radius of the circle Hence, √(2x + 2)² + (3x + 2)² = 10 Squaring on both sides, we get (2x + 2)² + (3x + 2)² = 100 13x² + 20x - 92 = 0 13x² -26x + 46x -92 = 0 13x(x - 2) + 46(x - 2) = 0 (13x + 46)(x - 2) = 0 Hence, x = 2 or -46/13 the diameter of the circle =20 units |
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| 35. |
In the figure, XYZ is an isosceles triangle right angled atY. PQRY is a square of side 10 cm and S is the point ofintersection of XR and PZ. Find the length of XR + PZ.2015KO |
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Answer» as this is an isosceles triangle, YP and RZ eill be the midpoint of XY and YZ respectively so the triangle is symmetric across the line QSY hence XR = PZ so XY=2PY, Applying Pythagoras theorem we get XR= 10√5, so XR+PZ=20√5 आपका उत्तर बरोबर हैमुझे अच्छा लगा |
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| 36. |
जे विज लि रा6. Prove that the lengths of the tangents from an external point to a circle are equalR PR S W ७... ४... |
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| 37. |
b+c gtr y+2 apr5. c+ar+pz + x = 2 lb qya+b p+q x+y crz |
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| 38. |
or3. The following figureshows a circle withcentre 0.If OP is perpendicularto AB, prove thatAP = BP.ARC D is mid-noint of BC: AD |
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Answer» first draw oa and ob as tringle |
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| 39. |
Ahmed buys a plot of land for? 480000. He sellsshould he sell the remaining part of the plot to gain 10% on the whole?32of it at a loss of 6% At what gain per cent5 |
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Answer» the answer is incorrect Buy of land =4800002/5*480000=192000 rsloss=6%100-6/100*192000=180480 total gain =10%100+10/100*480000=528000 sp=528000-180480=347520 cp of remaining part of land =3/5*480000=288000 gain% of remaining part of land= sp-cp/cp*100 <=>347520-288000/288000*100=20.6 % |
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| 40. |
Ahmed's father is thrice as old as Ahmed. After 12 years, hisage will be twice that of his son. Find their present age. |
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| 41. |
56 A trader offers successive discounts of 20% &[ Ans : 32%)5% what is the toresells it in Delhi for Rs 61,200. If then laipur, How muc0000 fipm jaipur and nfrom jaipur andeipur, How mh profit did he make? |
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| 42. |
G&1 - & (&)el /uQ Nb\e Efif / 7v 521घट =&}| कि % - |
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Answer» 1. (x - 7)³ x³ - 7³ - 21x ( x - 7) x³ - 343 - 21x² + 147x |
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| 43. |
60% = 1280%nb:2090:c. 25%d. 2 |
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| 44. |
olveenbcqutio2cx -a x-b x |
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| 45. |
(p+7)(p-4) |
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Answer» (p+7) (p-4)P^2-4p+7p-28P^2+3p-28 |
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| 46. |
nleach of the fonodius 6 cm. From a point 10 cm away from its centre, construct the pairof tangents to the circle and measure their lengthsf rodiue d cm from a noint on the concentric circle of |
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| 47. |
a circle with the help of a bangle. Take a point outsıde the circlé. Consgents from this point to the circle.struct thepair |
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| 48. |
H.C.F. $ p^{2}, p^{5,} \& p^{7} $ is |
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Answer» First do factorization p^2 = p*pp^5 = p*p*p*p*pp^7 = p*p*p*p*p*p*p HCF is highest common factor which isp*p = p^2 |
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| 49. |
what is the diameterofthepond?6.6 cm15. A piece of wire is bent in the shape of a square of eachside 6.6 cm. It is rebent to form a circular ring. What is thediameter of the ring?[Hint. Perimeter of square Circumference of circular ring,i.e., π d 4x6516.6 cm6.6 cm06.6 cm |
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| 50. |
(ii). SP =1755, gain = 12*1/2%(iv) SP =5600, loss = 6*2/3% |
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Answer» The u Thanks for the answers Thanks guys for the answers Hi |
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