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. |
e O andd X'Y' at B. Provenother tangentAB with point of contact C intersecting XY at A and XY'at B. ProveIn Fig. 10.13, XY and X'Y' are two parallel tangents to a circle with centr |
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| 2. |
9. The given figure represents a triangularOTSlawn with a triangular flower bed in themiddle. The base of theflower bed is 5 m and itsheight is 4 m. Find the areaof the lawn excluding thearea of the flower bed10 m20 m |
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| 3. |
path 4 m wide. The diameter of the flowerA circular flower bed is surrounded by abed is 66 m. What is the area of this path? (T 3.14). |
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| 4. |
Convert the following into hours-lal 4 days(c) 11 days 6 hours |
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Answer» a.1 day = 24 hours4 days = 24×4 = 96 hoursb. 11×24+6 =270 hours a) 96 hoursb) 270 hours 1day=24hour4days=4×24 =96hours11days=11×24 =264+6270hours a)1day=24 hrsso 4 day =24×4=96hrssimilarly, b)11days 6hrs=11×24+6 =270 hrs a)96 hours b)270 hours is the right answer for this questions a 1 day equalls to 24 hours11X24+6270 1 day have 24 hoursfor 4 days =4 × 24 = 96 hours for 11days 6hours = 11× 24 + 6 = 264 + 6 = 270 hourd a 1day=24 hour4 days=24*4 =96 hoursb.270 hours 1 day =24 hours 4 days = 24*4 =96 hours 2. 11days 6hours 11*24+6 =264+6 =270 hours |
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| 5. |
Write the features of each of the following3-D shapes:A. Cuboid B. Sphere C. Cylinder |
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Answer» A. cuboidThe cuboid shape has six sides called faces. Eachfaceof a cuboid is a rectangle, and all of a cuboid's corners (called vertices) are 90-degree angles B. sphere It is three dimensional.It has perfect symmetry.All points on its surface are equidistant from a center point. This distance is called the radius.It has a surface area of 4πr², where r is the radius. c. cylinderical Acylinderis a three-dimensional shape in geometry. Acylinderis round and has a top and bottom in the shape of a circle. |
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| 6. |
omplete a work in 2has enough money to babasnu is increased by 30 paise?ch banna is increased by 30 paisuly 24 bananas at the rate of乏18 per dozen. IIwater flows at the same rate can fill a tank in 3 |
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| 7. |
lal=3, | b | =4, b | = 5a "2 |
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| 8. |
5. Who gives me the colour? (Select thecorrect option.a. Red tomatob. Green leafc. Carrotd. Violet1. Chlorophyll2. Carotene3. Anthocyanin4. Lycopene |
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Answer» a) Red tomato- Lycopeneb) Green leaf - Chlorophyllc) Carrot- Carotened)Violet- Anthocyanin |
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| 9. |
Calculateenough water to form 500mL of the solution. Molar mass of NaOH is40 gmol-1.11)the molarity of NaOH in the solution, prepared by dissolving |
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Answer» Molecular mass = 40g/molmass of NaOH =8gvolume of solutions =500ml 1ml =0.001 litrenow, volume of solution(in L) =0.001*500=0.50L Molarity (M) = Mass of NaOH / Molar mass of. NaOH/ Volume of solution (in L) = (8g/40g)/0.50L= 0.2mol/0.50L= 0.4M |
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| 10. |
find the compound interest on ₹30,000 15% per annum compounded yearly for a period of 2 years and 6 months. |
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Answer» P= 30000, R = 15%, n = 2Since interest compounded yearly it will be for 2 yrs A = 30000(1 + 15/100)^2 = 30000(1 +.15)^2 = 30000(1.15*1.15) = 39675 CI = A-P = 39675-30000 = Rs. 9675 rog answer |
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| 11. |
(6,Mukesh borrowed75000 from a bank. If the rate of interest is 12% per annum., findthe amount he would be paying after 15 years if the interest is(6) compounded annually(i) compounded half-yearly |
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Answer» If Mukesh borrowed 75,000 from a bank and the rate of interest is 12% per annum, Then , 12% of 75,000=> ₹(12 × 75,000 / 100)=> ₹(12 × 750)=> ₹9,000 Total interest per annum = ₹(75,000+9,000)= ₹ 84,000 In one and half years = ₹ (84,000 + 42,000)= ₹ 1,26,000 Compound interest = 12% of 84000= ₹ 10080 Compounding annually = ₹ (10080 + 84000)= ₹ 94080 |
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| 12. |
thisEx is25. The property by which" (xy)" =.4" X y" is knownproperty |
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Answer» The property by which (xy)^n = x^n*y^n is known as commutative property of multiplication. |
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| 13. |
-4,-3,-2,-1,0,+1,+2,+3..... are known as |
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Answer» 4, -3, -2, -1, 0, +1, +2, +3, +4 ..... are known as set of integers |
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| 14. |
-4,-3,-2,-1,0,+1,+2,+3...... are known as |
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Answer» -4, -3, -2, -1, 0, +1, +2, +3, +4 ..... are known as set of integers |
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| 15. |
Kamala borrowed 26,400 from a Bank to buy a scooter at a rate of 15%,compounded yearly. What amount will she pay at the end of 2 years and 4 monthclear the loan? |
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Answer» excellent speed |
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| 16. |
S. Show thst A andA'have the same eigenvalues |
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| 17. |
From and externol point P of a circle tongents PA and PBare drawn to the circle with centre o. If angleAPB=50° then findangleAOB |
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| 18. |
5. Prove that the perpendicular at the point of contact to the tangent to a circle pathrough the centre. |
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| 19. |
e Example 26.11 Find the magnitude of magnetic moment of the currentcarrying loop ABCDEFA. Each side of the loop is 10 cm long and current intloop is i - 2.0 Aro |
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Answer» By assuming two equal and opposite currents in BE, two current carrying loop (ABEFA and BCDEB) are formed. Their magnetic moments are equal in magnitude but perpendicular to each other. Hence Mnet= √M2+ M2=√2 M Where M=ia=(2.0)(0.1)(0.1)=0.02A-m2 Mnet=(√2) (0.02) A – m2=0.028 A-m2 |
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| 20. |
EXERCISE1L Show that in a right angled triangle, the2 lnFig 748, sides AB and AC of Δ ABC aretepotemuse is the longest sideded io poms P and Q respetively. Also,4PBC<ZQCB Show that AC> AB. |
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Answer» In a right angled triangle, the angle opposite To the hypotenuse is 90°, while other two angles are always less than 90°. As you know that the side opposite to the largest angle is always the largest in a triangle. |
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| 21. |
KIIf matrix A =and A2 = PA, then write the value of P. |
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Answer» A^2 = 8. -8 -8. 8 = 4(2). 4(-2) 4(-2). 4(2) = 4. | 2. -2 | | -2. 2| = 4 A So P= 4 |
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| 22. |
Write the opposites of the following words from the palast X -bad XknownXexpected X |
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Answer» last × first bad × good known × unkown expected × unexpected |
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| 23. |
Prove that the perpendicular at the point of contact to the tangent to a circle pathrough the centre.5.)sses |
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| 24. |
. बताइए कि समीकरण 2८05 60+005 0-60 सम्भव है या नहीं |
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| 25. |
व... 9 T # "नग्न.0) ७05 60° cos 30* - sin 60° |
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Answer» 1/2 * √3/2 - √3/2 * 1/2 = √3/4 - √3/4 = 0 |
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| 26. |
2 झा * 60% ८0०5 60% का मान हैं।) है (8). (८). (0): |
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Answer» 2 * (√3/2)^2 * (1/2) = 3/4 Like my ANSWER IF YOU FIND IT USEFUL! 2(3/4)(1/2)=34this is the answer |
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| 27. |
POMS Pa 113write the important facts on GioserGaribaldi? |
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Answer» From the age of fifteen to the age of twenty-five he worked his way up from cabin-boy to captain in the merchant craft of Nice. So the sea became the real school of Garibaldi; he sailed in the Levant during the Greek War of Independence among old historic tyrannies cruel as fate, and new-born hopes of liberty fresh and dear as the morning; among the sunburnt isles and promontories that roused Byron's jaded passions to splendour: in those waters Garibaldi caught the belief that it is better to die for freedom than to live a slave.It was in his voyages in the Levant that he first came across men with the passion for liberty, and it was beyond the sea that he first met Italian patriots, exiles who instructed him that he had a country and that she bled. He, too, like these Greeks, had a country for which to fight.In 1832 Garibaldi joined "Young Italy" the association founded in the previous year by Giuseppe Mazzini and calling for Italian unity. In 1834 Garibaldi had a role in a failed attempt to raise a rebellion against the autocratic government of King Charles Albert of Piedmont (official title: King of Sardinia). He escaped to Marseilles where he learnt that the Piedmontese Government had condemned him to death. |
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| 28. |
A DVD player and T.V. were bought for78,000 each. The shopkeeper made a loss of8% on the DVD player and a profit of 12%on the T.V. Find the gain or loss per cent onthe whole transaction. |
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| 29. |
7. For a> bc 0, the distance between (1, 1) and the point of intersection of the lines ax + by0 andbx +ayc 0 is less than 2/2. Then(A) a + b -c>0JEE (Advanced) 2013, Paper-1, (2, 0)/60)](B) a -b + c <0(C) a b +C>0(D) a +b c<0 |
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| 30. |
8, Find the principal that will amount to Rs 2240 at 4%per annum simple interest in 3 years. |
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| 31. |
e iPhone was marked at 40% above the cost price and a discount of 30% was given on its marked priceind the gain or loss per cent made by the store. |
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Answer» sir thanks a lot |
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| 32. |
BETOParul, Daisy and Mrinal share 60sweets in the ratio 9 7: 4. How many sweets does Daisy receive?in the ratio 2.3 6. Find the |
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Answer» let the ratio be x so parul get 9x , daisy get 7x and mrinal get 4x 9x + 7x + 4x = 6020x = 60x = 60/20 = 3so Daisy get 7x that is 7×3 = 21 |
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| 33. |
5. The base and the height of a triangle is 8 cm and10 cm respectively. Its area will be |
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Answer» Area of triangle = 1/2*base*height Given, base = 8 cm, height = 10 cm Area = 1/2*8*10 = 4*10 = 40 cm^2 |
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| 34. |
Surface area of two spheresare in the ratio.9:16. Theratio. Of their volume is..??Solution |
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| 35. |
32 mThe areas of two circles are in the ratio 9: 16. Find the ratio of their circumferences |
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Answer» Let A1 = 9 and A2 = 16 Area of A1 / Area of A2 = 9 / 16 pi*r1^2 / pi*r2^2 = 9/16 r1 / r2 = 3 / 4 Now circumference is given by 2*pi*r C1 : C2 = 2*pi*r1 : 2*pi*r2 = 2*pi*3 : 2*pi*4 = 3 : 4 Ratio of circumference is 3 : 4. |
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| 36. |
Page №Date |
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| 37. |
Page:Date: |
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| 38. |
(e) Find the product of 4,86,452 and 3000 |
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Answer» Product of 486452 and 3000= 486452*3000= 1,459,356,000 |
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| 39. |
eone ofproduct of two numbers is 213. I)the number is 15 find the other32 |
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Answer» plz fast |
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| 40. |
What is me GP on the shoploperproduct marked E 2240.on a |
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Answer» the answer is 2240 because there is no lost given |
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| 41. |
5. The ratio of two numbers is 5: 8. If 35 is added toeach number, then the ratio becomes 5:7. Find(3 marks)the numbers.Solution : |
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| 42. |
the ratio of two numbers is 3:4. if 5 is subtracted from each of the number, the ratio becomes 5:7 find the number |
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Answer» wrong answer is 30 and 40 |
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| 43. |
9.Findwhich ratio is greater 5:7 or 7:9.10. Two numbers are in the ratio 2: 3. If 5 be added to each, the ratio becomes 5:7, find the numbers |
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Answer» (9)5/7=0.7157/9=0.778so ratio is 7:9 is greater than 5:7(10) suppose two numbers are x and yso x:y=2:3so x=2y/3now if 5 is added to each ration will become 5:7so (x+5):(y+5)=5:77x+35=5y+255y-7(2y/3)=1015y-14y=30y=30 so x=2*30/3=20so numbers are 20 and 30 |
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| 44. |
1. The difference of two numbers is 8. They are in the ratio 9: 13. Find the numbers. |
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Answer» let the no.s be 9x and 13xdifference is 8then 13x-9x=84x=8x=2so no.s are 9x=18; 13x=26 thanks |
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| 45. |
what is reducible fraction |
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Answer» Areducible fractionis aratioof twointegers which have a commondivisor.Thus, for example,10/14is reducible because 2 divides both 10 and 14. On the other hand,5/ 11 isirreducible. |
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| 46. |
The sum of two numbers is 45 and their ratio is 7: 8. Find the numbers. |
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Answer» Let the common ratio be xOne number=7xOther number =8xSum of the numbers = 45 7x+8x=4515x=45 x=3One number= 7x =7×3= 21Other number = 8x = 8×3 = 24 Ans) The numbers are 21 and 24. |
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| 47. |
e product of two numbers is 1170. One of the numbers is 45. Find theother number. |
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| 48. |
The sum of two numbers is 45 and their ratio is7:8 . Find the number |
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| 49. |
The sum of two numbers is 45 and their ratio is2:3. Find the numbers.(a) 27, 18(b) 20, 304.(c) 16, 24(d) 18, 27 |
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Answer» suppose numbers are 2x and 3x so 2x+3x = 45 so 5x = 45 so x = 9 so both the numbers are 18 and 27. |
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| 50. |
the ratio 8 13, if the consequent is 91, what is the antecedent? |
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