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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. |
16.If cos 3x = sin 2x , then x is-a) 150 , b) 300, c) 22.50, d) 180 |
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Answer» Sin(2x) =cos(3x)using trigonometric property Sin(2x)=sin(90–3x) Taking sin inverse on both sides 2x=90–3x 5x=90 X=18 |
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| 2. |
340000, find11. The value of a car including VAT is? 382500. If the basic price of the car bethe rate of VAT on cars. |
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स+ जी, tan”' [——————” xx - IX BB |
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Answer» Put x= tan theetahere |
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| 4. |
2. Raveena bought a box of cosmetics for 981. Therate of VAT is 9%. She wants to pay 981including VAT. How much discount theshopkeeper should allow her? |
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| 5. |
The list price of a frock is 220 rupees. A discount of 20% is announced on sales. What is the amount of discount on it and its sale price. |
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| 6. |
4: The list price of a frock is 220.xampleA discount of 20% is announced on sales. What is the amountof discount on it and its sale price. |
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Answer» LP = 220 discount = 20% discount price = 220*0.2 = 44 sales price = 220 - 44 = 176 OK 👌 |
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| 7. |
Evaluate xxx xx xx* |
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| 8. |
66-X-1. Fill in the blanks:(1) The multiplicative inverse of 2 is _(ii) If –3x2= xx, then x is _-11 -11(iii) If distributive property is true forare -<-55 _ -55xx(iv) If xx<=xx=1, then x is called the63 63(v) The multiplicative inverse of -1 isand8th Standard Mathematics |
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Answer» what is your question 5/13, -3, -63/55, -1 is the correct answer of the given question 1. fill in the blanksa 5/13e -1/1 |
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| 9. |
"हम्सस्ती दर + 2. XXPORON = T 0955 (xx)-~- कक W . ana) > A I8 — O S FE |
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| 10. |
2. निम्नलिखित समुच्चयों को रोस्टर रूप में लिखिए :Write the following sets in roster form :)A= {xx पूर्णाक है तथा -15x<५}B = {x:x विषम पूर्णाक है तथा x>-2)C= {xx प्राकृत संख्या है तथा 5<x526}D= {x:. इकाई के घनमूल)E= {x: +x--43D0)F= {x:x, 24 से छोटी अभाज्य संख्या है।G= {xx दो अंकों की संख्या है जिसके अंकों का योग 4 है।HD [xxधन पूर्णांक है और 2<401 |
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| 11. |
1ĺŹ22 ĺ¸1. sin? (2r + 5)4. sin (2r + 1)2. sin 3x cos 4xs. sin x cos x3. cos 2x cos 4x cos 6x6, sin x sin 2x sin 3x |
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| 12. |
, , k $,iWrite the set 4 1 2 3 4 523'4'5in the rule method |
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| 13. |
2) Solve the following by using Cramer's Rule4x+3y-4 0; 6x-8-5y |
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| 14. |
1. Express each of the following as the product of sines and cosines:(i) sin 12x + sin 4x(iv) cos 12x - cos 4x(ii) cos 12x + cos 8x(ii) sin 5x-sin χ(v) sin 2x + cos 4x |
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| 15. |
13. Find the general solution of the equation (sin 2x -sin 4x + sin 6x-0) |
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Answer» Here is the solution to your answer: Given: sin2x + sin 4x + sin6x=0 (sin 2x + sin 6x) + sin 4x = 0 2.sin[ (2x+6x)/2 ].cos[ (2x-6x)/2 ] + sin 4x = 0 2sin4x.cos2x + sin 4x = 0 sin 4x (2cos 2x +1) = 0 sin 4x = 0 ............... or.............. 2cos2x + 1 = 0 4x = n(pi) ................or .............. cos2x = -1/2 x = [ n(pi)/4 ].............or ............. cos 2x = cos [ 2(pi)/3 ] ................. 2x = 2n(pi) +/- [ 2(pi)/3 ] .................x = n(pi) +/- [ (pi)/3 ] >>>>>>>>>>> " +/- " means "plus or minus" thnku |
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| 16. |
29. Solve for x: sin 2x-sin 4x + sin 6x = 0 |
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| 17. |
6ample 23Solve sin 2x-sin 4x + sin 6x = 0. |
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Answer» Thanks bro |
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| 18. |
sin 4x cos 3x sin 2x] d |
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| 19. |
き1520.16. The ratio of income to expenditure of a family is 7: 6. Find the savings if the income is14000. |
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| 20. |
Q25, Solve the following t-equationssin 2x + six 6x +sin 4x = 0 |
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Answer» this is the question |
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| 21. |
Over the last three days, Pierceburg had the coldest temperatures everrecorded in the area. On Friday and Saturday it was -12°, and on Sunday itwas -7°. Which day(s) of the weekend was the warmest?A. FridayB. SaturdayUse what you kr. about a thermomC. Sunday• decide which teD. Friday and Saturdaywarmer. |
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Answer» As on Sunday temperature was - 7°C. So, Sunday is warmest day of weekend (C) is correct option c is the correct answer c is a correct answer Sunday (c) is the correct answer . Sunday is the warmest day of the weekend. |
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| 22. |
2. Anjali had 550 in her bank account. She depositedて250 on Monday, withdrewき500 on thesame day, deposited ? 1500 on Wednesday. On Saturday, if she deposited 450, find her balancein the account on Saturday |
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Answer» total balance of saturday is 2250 anjali had 2250 balance in the account on Saturday |
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| 23. |
Peter buys a TN, set for Rs. 4500. He sells it to Ram at a profit of 10%. Aftersome time Ram sells the T.V. set back to Peter at a loss of 10%. Find Peter's savingon the whole transaction.[Ans. Rs. 495] |
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Answer» Cost price of TV = 4500 Peter sell TV to Ram at price SP1 = 4500(1 + 10/100)= 4500*(11/10)= 450*11 = 4950 Ram sell TV to Peter at price SP2 = 4950(1 - 10/100)= 4950*9/10= 495*9 = 4455 Therefore, Peter's saving= 4950 - 4455= Rs 495 |
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| 24. |
If.....Then....???Monday=617Tuesday=729Wednesday=9312Thursday=8412Friday=6511Saturday=8614Sunday=??? |
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Answer» I think it's 6713bcozthe word Sunday has 6 letters, and it's is 7th day of week..adding both forms (6+7) =13 so final answer is 6713 The answer is 6713 and it is denoted as the word Sunday that has 6 letters and it is taking place in the 7th day of week and measured as letters. This should be identified by adding both forms (6+7) =13. Therefore, final answer is 6713. Therefore, value of Sunday is 6713. |
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| 25. |
Write the following set using rule method:D={Sunday, Monday, Tuesday. Wednesday, Thursday, Friday, Saturday}. |
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Answer» {these are the name of weeks} |
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| 26. |
The last day of a century cannot be(1) Monday(3) Friday(2) Wednesday(4) Saturday |
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Answer» 100 years contain 5 odd days.∴ Last day of 1stcentury is Friday.200 years contain (5 x 2) ≡ 3 odd days.∴ Last day of 2ndcentury is Wednesday.300 years contain (5 x 3) = 15 ≡ 1 odd day.∴ Last day of 3rdcentury is Monday.400 years contain 0 odd day.∴ Last day of 4thcentury is Sunday.This cycle is repeated.∴ Last day of a century cannot be Tuesday or Thursday or Saturday Wednesday the last day of a century cannot be friday Friday correct and suitable to question 🎉🎉🎉🎉🎉🎉🎉🎉🎉🎪🎪🎪🎪🎪🎪🎪🎪🎪 correct answer is Friday . 🎪🎪🎪🎪🎪🎪🎪🎪🎪🎉🎉🎉🎉🎉🎉🎉🎉🎉 |
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| 27. |
17. A dealer professes to sell the sweets at cost price. But he uses weight of 900 gm instead of 1 kg.Find his gain percent |
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| 28. |
3(cosec A - sin A) (sec A -COS A) = ———£ - tanA+cotA |
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| 29. |
What does the linear trend of this data set tell us?As birth rate increase family income increases.As birth rate increase family income tends to decrease.There is no relationship between birth rate and family income.As birthrate increases family income stays constant. |
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Answer» Birth rate has a linear relationship with income so its a linear way |
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| 30. |
61.If income of A is 20% less than incomeof B. How much percentage is B'sincome more than income of A? |
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| 31. |
14 Shahana and her family watched 8 hours of television lastweek versus 6 hours of television this week. What is the percent of decrease in the weekly amount of TV watched byShahana and her family? |
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| 32. |
1. Draw the graph of each of the following equations.(ii) x+4=0(i) x 4(v) x(vi) x5(iii) y-3(iv) y=-3(viii) y=4111) v(vii) y +5-0V11 |
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Answer» fuck on you |
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| 33. |
Ram sells his goods 25% cheaper than Shyam and25% dearer than Bram. How much percentage isBram's goods cheaper than Shyam's?1- |
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Answer» SinceRam sells 25%cheaper than Shyam, ThereforRam sellsat lessthan 25% of100 or 75 rs. 125% of x (say x price of bram )=75rs. now Bram'sgoodischeaper than Shyam'sas (100-60)x100/100% or 40%. Explanation: Lets say shyam sells at 100, Since Ram sells 25% cheaper than Shyam, Therefor Ram sells at less than 25% of100 or 75 rs. Ram sells 25% dearer than Bram or 125% of Ram =100% of Bram or 125% of x (say x price of bram )=75rs.or 100% of x =60rs.hence price of bram is 60rs. now Bram's good is cheaper than Shyam's as (100-60)x100/100% or 40%. Hence Brams Good is 40% cheaper than that of Shyam's good. |
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| 34. |
both the eases.r. 11: A seller uses 840 gm in place of one kg to sell his goods. Find hisactual % profit or lossa) when he sells his article on 4% loss on cost price.b) when he sells his article on 4% gain on cost price. |
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Answer» Let 1kg of Rs. 100 then 840gm is of Rs. 84.Now (label on can 1kg but contains 840kg ) so for customer it is of Rs. 100 and further gives 4% discount [he sells his article on 4% loss on cost price.]So now S.P = Rs. 96But actually it contains 840 gm so C.P for shopkeeper = Rs. 84S.P = Rs. 96C.P = Rs. 84Profit% = {(S.P-C.P)/C.P}x100{(96-84)/84} x 100 = 14.28571429% PROFIT. thank you |
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| 35. |
A's income is 33% more than B's income. How much less percentage is B'sincome than A's |
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| 36. |
An uneducated retailer marks all his goods at 50% abovethe cost price and thinking that he will still make 25%profit, offers a discount of 25% on the marked price.What is his actual profit on the sales? |
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Answer» Let C.P. = Rs. 100. Then, marked price = Rs. 150.S.P. = 75% of Rs. 150 = Rs. 112.50.=> Gain% = 12.50%. |
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| 37. |
breadthare14cm16. The surface area of a cuboid is 758 cm2. Its length andand 11 cm respectively. Find its height. |
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| 38. |
two parallel sides of a trapezium are of lengths 27 cm and 19 cm respectively,and the distance between them is 14 cm . find the area of the trapezium |
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| 39. |
2) If I earn 5600 and spend 4800, howmuch do I save? Express it as apercentage of the amount earned. |
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| 40. |
In amuch percentage of sugar packets was to be bought to get two packetsfree?upermarket, there was a new offer on sugar packets. For a customerys 100 packets of sugar, two packets were given for free. So, how2.Checkpoi |
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Answer» 100% may be if I m wrong correct me |
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| 41. |
percentage is siAs income is 10% less than B's income. How much percentamore than A's income?(e) 10%6 11% (c) 12% (d) 11% |
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Answer» THE CORRECT ANSWER IS B11×1/9 the correct answer is 11 x 1/9 The correct answer is (b)11.11 that is 11 1/9% |
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| 42. |
17/10/19try theseA shop gives 20% discount, ubat aurkenthe sale price of each of these benA dress marked at 3 120 |
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| 43. |
A shop gives 20% discount. What would the sale price of each of these be(a) A dress marked at t 120(c) A bag marked at 250(b)A pair of shoes marked at |
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| 44. |
a) 620 5metres3) Write these in kiloal 1450 mb) 17.3 mc) 21350 cm |
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Answer» 1000 m = 1 km1]1450/1000=1.45 km2]17.3/1000= 0.0173 km3] 21350/100000=0.2135 km as [ 1 km = 100000] |
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| 45. |
1. Find the number which when increased by 6 gives 20 |
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Answer» Let the number be x.x+6=20x=14 The number is 14. |
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| 46. |
I,A shop gives 20% discount. What would the sale price of each of these be?(a) A dress marked at 120(c) A bag marked at ? 250(b)A pair of shoes marked at750 |
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| 47. |
A fruit vendor sells fruits from his shop. Selling prices of Apple, Mys areare 20, 10 and ? 5 each respectively. The sales in three daOranges304060607040302010 |
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| 48. |
00950 6_Aa) Prove that SinA (1+ TanA) + cos A (1+ CotA) =SecA + Cosec A (3) |
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Answer» LHS = sin A(1+ tan A)+ cos A(1 + cot A) = sin A + sin^2 A/ cos A + cos A + cos^2 A/ sin A = sin A + cos A + [sin^3 A + cos^3 A]/sin A cos A =[ sin^2 A cos A + cos^2 A sin A + sin^3 A + cos^3 A]/sin A cos A = [ sin^2 A cos A +cos^3 A + cos^2 A sin A + sin^3 A]/sin A cos A = [cos A (sin^2 A + cos^2 A) + sin A (sin^2 A + cos^2 A)]/sin A cos A = [cos A +sin A]/sin A cos A = (1/sin A) + (1/cos A) = cosec A + sec A = RHS. Proved. |
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| 49. |
Prove the following 0 scocosecV 1-co59- cosa1-tanAsin2 AcOS A-sin A(ii)sinA + cos A |
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| 50. |
17 , then find sin A and tanAcos A=15. |
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Answer» Cos²A+sin²A=1sin²A=1-(12/13)²sin²A=1-144/169sin²A=25/169sinA=5/13tanA=sinA÷cosA=5/13÷12/13tanA=5/12 |
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