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.
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10. Prove that the mid-point of the hypotenuse of a right002triangle is equidistant from its vertices. |
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Answer» Let P be the mid point of the hypo. of the right triangle ABC, right angled at B. Draw a line parallel to BC from P meeting AB at D. Join PB. in triangles,PAD and PBD, angle PDA= angle PDB (90 each due toconv of mid point theorem) PD=PD(common) AD=DB( as D is mid point of AB) so triangles PAD and PBD are congruent by SAS rule. PA=PB(C.P.C.T.) but PA=PC(given as P is mid point ) So, PA=PC=PB |
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| 2. |
De in holidays NotebookCuite the following in decisamos down and daykind of decimal Esponsion Eade haris y Lii) 59in 5 mg2018 |
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Answer» please like my answer plzzzzzzzzz 0.44,3.63,.25,.45,1.12 1. terminating expansion2. non terminating or repeating expansion3. terminating expansion4. repeating expansion5. terminating expansion👍 (i)0.44,(ii)0.363(iii) 0.25(iv) 0.45(v) 1.125 |
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| 3. |
If the polynomial x^{6}+p x^{5}+q x^{4}-x^{2}-x-3 isdivisible by x^4-1, then the value of p^2 + q is |
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Answer» thx |
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4. If P= {1, 2, 3) and Q = {4}, find P x Q and Qx |
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Answer» P×Q={(1,4) (2,4) (3,4)} |
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| 5. |
Angles, Lines and Triangles19. In the given figure AB|| CD.If LOAB-124째LOCD = 1369, then <AOC = ?124째(a) 800(c) 100째(b) 900o(d) 110째1360 |
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Answer» thanks😊 |
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| 6. |
Q.4. Solve for x :\frac{x+1}{x-1}+\frac{x-2}{x+2}=4-\frac{2 x+3}{x-2} ; x=1,-2, |
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| 7. |
6. In the following figure, OABC is a square. Acircle is drawn with O as centre which meetsOC at P and OA at Q. Prove that:Cl |
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| 8. |
1. Freedom Struggle of India |
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Answer» The Indian Rebellion of1857is also called the Indian Mutiny, the Sepoy Mutiny, North India's First War of Independence or North India's firststrugglefor independence. It began on 10 May1857at Meerut, as a mutiny of sepoys of the British East India Company's army. |
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| 9. |
Worksheet 1which of the following numbers are pertect squarest11, 16, 32, 36, 50, 64, 75 |
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Answer» 16( 42), 36(62), 64(82) 16(42),36(62),64(82) |
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| 10. |
. In the figure shown at right, state the three equal parts of thesetwo triangles, which ensure ΔΡΟΡΕ ΔΡSR. Also, find the valuesof a and b5(36-549) |
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Answer» 1 5=a-3a= 8 2.3b-5=493b=54b=18 |
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| 11. |
Prove that the curves y2 = 4x and x2 = 4y divide the area of thesquare bounded by x = 0, x = 4, y = 4 and y = 0 into threeequal parts |
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| 12. |
X'- 4Q(44)4yExample 1Prove that the curves y 4x anddivide her area of the square bounded by x-o, x 4, Xy 4 and y 0 into three equal parts. |
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13. 4(2a +b)2 - (a -b)2 |
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| 14. |
75(2a-b+1)2^-12(a+b) |
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| 15. |
8. In figure, AB and CD bisect each other at O. State three pairs of equal parts in twotriangles AOC and BOD. |
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4. In Fig 7.25, AB and CD bisect each other at O.0 State the three pairs of equal parts in twotriangles AOC and BOD |
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Answer» OC = OD, OA = OB and ∠COA = ∠DOB |
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| 17. |
Divide 64 into two parts such that three times the greater part will be equal totimes the smaller one..3 |
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Answer» Let the smaller part be xLarger part =3xATPx+3x=644x=64x=64/4x=16one part =16other part=3x=3*16=48 |
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| 18. |
Why indicator does not get affectedby salt? |
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Answer» Indicators are not affected by salt as salt is the product of acid and base which is neutral. Indicators are substances which gives a prominent sign to identify the presence of acids and alkali in the solution. Salt is produced from the reaction of acids and bases. |
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18. A rectangular parking lot has an area of5x2 + 17x + 6 square units. One of its sides is |
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Answer» this is the correct answer for this question Thank you ___________________________8 |
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| 20. |
The area of the triangle formed by the coordinate axes and a line is 6 square unitsand the length of the hypotenues is 5 units. Find the equation of the line. |
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| 21. |
20. Find the value of a for which the area of the triangle formed by the pointsA (a, 2a), B (-2, 6) and C (3,1) is 10 square units. |
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| 22. |
6. The area of the largest possible square inscribed in acircle of unit radius (in sq. units) is |
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Answer» radius of circle=1 unittherefore diameter AB=2x1=2unitslet each side if square=x unitsin right triangle ACBAB²=AC²+BC²2²=x²+x²4=2x²x²=4/2x²=2 unitsorside²=2 unitstherefore area of square=2 unis 2 units is the correct answer of the given question diameter of circle= diagonal of sqlet diameter of circle= 2rarea of circle= 22/7r^2sq unitdiagonal of sq=2rside√2=2rside= 2r/√2= 2√2r/2= √2rarea of sq=(side)^2 = (√2r)^2 =2r^2sq nit |
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| 23. |
3. Write each of the following numbers in expanded form!(i) 15,768(ii) 3.08,927(iv) 5.36,18,493(v) 6,06,06,006(ii) 24,05,609(vi) 9,10,10,516 |
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Answer» I)10000+5000+700+60+82)300000+8000+900+20+73)2000000+4000000+5000+600+94)50000000+3000000+600000+10000+8000+400+90+35)60000000+600000+6000+66)90000000+1000000+10000+500+10+0 |
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| 24. |
Write the following numbers in the standard form(i) 0.00004562.(ii) 0.000000529 |
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Answer» 1)4.56*10^-52)5.29*10^-7 |
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| 25. |
e13.12, you see the frame of a lampshade. It is to bewith a decorative cloth. The frame has a baseixmeter of 20 cm and height of 30 cm. A margin of 2.5 omsto be given for folding it over the top and bottom of theane Find how much cloth is required for covering theFip. 13.42 |
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| 26. |
7. A box has tickets marked from 3 to 32. Probability of primenumbers is: |
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Answer» Total numbers are 3 to 32=30 Prime numbers=3,5,7,11,13,17,19,23,29,31=10 Probability=10/30=1/3 option a is correct |
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| 27. |
A dealer gets8%. Find the cost price of the chair30 less if instead of selling a chair at a gain of 12% he sells it at a gain of3. |
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| 28. |
Peisisquat to the sclung pr.A dealer gets t 38% FiO less if ofthe cost price of the chairinthead of selling a chair at a gain of 12% he sells it at a plnofnd |
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Due to a rise of 12% in the price of mangoes, adealer gets 27 kg less for 24750, Find the following(a) The new price per kg of mangob) The original price per kg of mangoesesapproximately |
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| 30. |
7 A dealer allows his customers 20% discount on the marked price of the goods and still gets aV, profit of 20%. What is the CP. of goods for him marked at 1 000? |
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| 31. |
A man sells a radio set at a gain of 5%. Had he sold it for Rs 490have lost 2%. Find the cost price of the radio set. |
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Answer» C.P = xgain = 5 % S.P = x+(5/100)x= x+(1/20)x= (21/20)x----------------------------Now if S.P were to be ₹490 less , then ; S.P = (21/20)x - 490C.P = xLoss = 2 % S.P = x - (2/100)x (21/20)x - 490 = x - (1/50)x (21/20)x + (49/50)x = 490 [ (105+98)/100 ] x = 490 x = 49000/203 x = 241.37----------------------------------------Hence the cost price of the Radio set is ₹ 241.37 |
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The lost om cloth 2 20 Taalat2no same cloth |
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Answer» Cost of 5m cloth=210RsCost of 1m cloth=210/5=42Rs Cost of 2m cloth=2*42=84Rs Cost of 4m cloth=4*42=168Rs Cost of 10m cloth=10*42=420Rs Cost of 13m cloth=13*42=546Rs |
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| 33. |
Multiple Choice Questions (MCQ)Choose the correct opti(i) If 10 less than a number is - 10, then the number, is(a) 3(b) 2(c) 0 |
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| 34. |
Q: 12 p is a number less than 60.12 and 18 are two factors of p. Which of these is a MULTIPLE of p?1 92 24B 90A 108 |
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Answer» 108 is the righy answer12×9=10818×6=108 4 is thr right answrr..... 4 is the right answer 108 is the right answer..... option 4 is the right answer option 4 is the right answer option 4 is the right answer option 4 12×9=10818×6=108 1o8 is correct answer12×9=10818×6=108 |
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| 35. |
A ticket is drawn from a box containing 40 tickets & a number on it is observed, obtainthe probability that ticket drawn has a number1) Less than 52) Greater than 30.3) Multiple of 5 |
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Answer» 1) less than 5=1,2,3,4so probability = 4/40=0.12) Greater than 30 =31,32,33,34,35,36,37,38,39,40so probability = 10/40=0.253) Multiple of 5=5,10,15,20,25,30,35,40so probability=8/40=0.20 |
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| 36. |
EXERCISE 8.21. ABCD is a quadrilateral in which P,Q, R and S aremid-points of the sides AB, BC, CD and DA(see Fig 8.29).AC is a diagonal. Show that:0 SRIAC and SR AC(i) PQ SR(in) PQRS is a parallelogram.2Fig. 8.29 |
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| 37. |
1. ABCD is a quadrilateral in which P, Q. R and S areR.mid-points of the sides AB, BC, CD and DA(see Fig 8.29). AC is a diagonal. Show that:(i) SRIAC and SR =-AC(ii) PQ-SR(ii) PORS is a parallelogram2 |
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Answer» thank you didi |
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| 38. |
5 x [7+(-6)] = 5 x 7 + 5 x (-6) |
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Answer» u |
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| 39. |
6*(x*(x - 5))=6*x^2 %2B 6*x(-5) |
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Answer» 6×(-5-x)=-30+42-30x. =-72 30____. =x 72= the answer is 2.4 anxcjdiaodit8e9eogkgifjfjsjfj -30x+6x=-30+42-24x=12×=-12/24x=-1/2 |
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| 40. |
Outer measures of a closed wooden box ofhicknts capacity.ess 1 cm are 32 cm Ă20 cm Ă 17 cm. Find |
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Answer» not right its answer is 8100cm cube |
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| 41. |
1. ABCD is a quadrilateral in which P, Q, R and S areanmid-points of the sides ΛΒ, BC, CD and DA(see Fig 8.29). AC is a diagonal. Show that(i) SR||AC and SR AC(ii) PQ SR(ii) PQRS is a parallelogram..7 SunthisSuFig, 8.29 |
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| 42. |
.ABCD is a quadalateral in wch RQ R and S armid poiats of the sides AB, BO, ED and DA(sep Fig 8 29) AC is a diagenai Show that(O SRAC and SR ACFig 8 2 |
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Answer» Given: ABCD is a quadrilateral in which P, Q, R and S are mid-points of the sides AB, BC, CD and DA. AC is a diagonal. To Prove: (1 SR || AC and SR = AC (2) PQ = SR (3) PQRS is a parallelogram. Proof:(1) In Δ DAC,∴ S is the mid-point of DA and R is the mid-point of DC∴ SR || AC and SR = ½AC [Mid-point theorem] (2) In Δ BAC,∴ P is the mid-point of AB and Q is the mid-point of BC∴ PQ || AC and PQ = ½AC [Mid-point theorem]But from (1) SR = AC∴ PQ = SR (3)PQ || AC ..............From (2)SR || AC ..................From(1)∴ PQ || SR [Two lines parallel to the same line are parallel to each other]Also, PQ = SR ................From (2)∴ PQRS is a parallelogram. |
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L ABCD is a1.in which P. Q. R andS aremid points of the sides AB, BC, CD and DA(see Fig 8 29) AC is a diagonal. Show that:(i)SRIAC and SReAC)PO SRGin) PORS is a parallelogram.8 |
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| 44. |
R.ABCD is a quadrilateral in which P, Q, R and S aremid-points of the sides AB, BC, CD and DA(see Fig 8.29). AC is a diagonal. Show that:(i)SR 11 AC and SR =-AC(ii)PQ=SR(ii) PORS is a parallelogram. |
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| 45. |
EXERCİ1. ABCD is aquadrilateral in which P, Q, R and S arewhichPmid-points of the sides AB, BC, CD and DA(see Fig 8.29). AC is a diagonal. Show that:2(i)SR 11 AC and SR =-AC(ii) PQ=SR(ii) PQRS is a parallelogram.Fig |
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| 46. |
In the adjoining figure, ABCD is a quadrilateral in whichP, Q, R and S are mid-points of AB, BC, CD and DArespectively. AC is its diagonal. Show that5N.() SR | AC and SR AC(i) PQ S(ii) PQRS is a parallelogram. |
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Answer» thanks |
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| 47. |
ABCD is a quadrilateral in which P, Q, R and S aremid-points of the sides AB, BC, CD and DA(see Fig 8.29). AC is a diagonal. Show that:7SR 11 AC and SR =-AC/(i)2(ii)PQ-SR(iii) PQRS is a parallelogram. |
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| 48. |
1. ABCD is a quadrilateral in which P, Q, R and S aremid-points of the sides AB, BC, CD and DA(see Fig 8.29). AC is a diagonal. Show that:(i) SRIl AC and SR AC(i) PQ SR(ii) PQRS is a parallelogram.2. |
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Answer» thanks |
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| 49. |
3,50,000. The value of the car depreciates by 20% in the hrst yearhe price of a car is tat it depreciates by 25%every year What will be the car's value after 3 years? |
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Answer» Car Price = 350000Car price after first year= 350000(1 - 20/100)= 350000(4/5)= 70000*4 = 280000 Car price after second year= 280000(1 - 25/100)= 280000(3/4)= 210000 Car price after third year= 210000(1 - 25/100)= 210000(3/4)= 630000/4= 157500 |
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| 50. |
On the construction work of a flyover bridge there were 320 workers initially. The number of workers were increased by 25% every year. Find the number of workers after 2 years. |
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