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. |
If a particle starts moving along a straight ine withinitial velocity u under contact acceleration a, its displacement with time is given by the relation `x=ut+(1)/(2)at^2` Q. Differentiation of `x` w.r.t. `t` will beA. `y=(at)/(2)`B. `u+at`C. `u+2at`D. `(ut^2)/(2)+(at^3)/(6)` |
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Answer» Correct Answer - B `x=ut+(1)/(2)at^2` `dx=u(1)+(1)/(2)a(2t)=u+at` |
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| 2. |
If a particle starts moving along a straight ine withinitial velocity u under contact acceleration a, its displacement with time is given by the relation `x=ut+(1)/(2)at^2` Q. Differentiation of `x` w.r.t. `t` will beA. `u+("at")/(2)`B. `u+"at"`C. `u+2"at"`D. `(ut^(2))/(2)+(at^(3))/(6)` |
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Answer» Correct Answer - B `S=ut+(1)/(2)at^(2)` `v=(dS)/(dt)=u+(1)/(2)axx2t=u+at` |
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| 3. |
If a particle starts moving along a straight ine withinitial velocity u under contact acceleration a, its displacement with time is given by the relation `x=ut+(1)/(2)at^2` Q. Differentiation of `x` w.r.t. `t` will beA. `a`B. `u+a`C. `u`D. none |
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Answer» Correct Answer - A `(dv)/(dt)=a` |
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| 4. |
One mole of monoatomic gas is taken through cyclic process shown below `T_(A)=300` K.Process AB is defined as PT=constant. A. Work done in process AB is `-400` R.B. Change in internal energy in process CA is 900 R.C. Heat transferred in the process BC is 2000R.D. Change in internal energy in process CA is -900 R. |
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Answer» Correct Answer - A::C::D (A) Process AB: `PT=const. Rightarrow nRT^(2)=const` `W=undersetAoversetBintPdV=undersetAoversetBint(const)/T dv Rightarrow(dV)/(dT)=(2nRT)/(const.)` `W=underset300overset100int(const.)/T.(2nRT)/(const.) dt Rightarrow (P_(A))/P_(B)=T_(B)/T_(A) Rightarrow 1/3=T_(B)/T_(A)` `Rightarrow T_(B)=300/3=100 RightarrowW=2nR(100-300) RightarrowW_(AB)=-400` nR (B)Process CA: Isochoric P//Tconst:`T_(A)//T_(C)=P_(A)//P_(C)` `T_(A)//T_(C)=P_(A)//P_(B) RightarrowT_(A)//T_(C)=1//3RightarrowT_(C)=3T_(A)` `T_(C)=900R RightarrowDeltaU=nC_(v)DeltaT` `=(1) 3/2Rxx(T_(A)-T_(C))=3/2Rxx(300-900)=3/2Rxx-600=-900R Rightarrow|DeltaU|=(900R)` (C) Process BC: Isobaric `Q=nC_(P)DeltaT RightarrowQ=(1) 5/2Rxx(T_(C)-T_(B))` `Q=5/2Rxx(900-100)Rightarrow Q=5/2Rxx800 RightarrowQ=2000R` |
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| 5. |
A prism shaped styrofoam of density `rho_(styrofoam) (ltrho_(water))` is held completely submerged in water. It lies with its base horizontal. The base of foam is at depth `h_(0)` below water surface and atmospheric pressure is `P_(0)` Surface of water is open to atmosphere. Styrofoam prism is held in equilibrium by the string attached symmetrically as shown (Take `rho_(styrofoam)=rho_(f), rho_(water)=rho_(w))`. Net force exerted by liquid on the styrofoam isA. `sqrt(2)rho_(w)gl^(2)L`B. `2rho_(w)gl^(2)L`C. `rho_(w)g (l^(2)L)/2`D. `rho_(w)gl^(2)L` |
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Answer» Correct Answer - C Net force exerted by liquid on styrofoam is buoyaut force `=rho_(w)g (l^(2)L)/2` |
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| 6. |
A vernier caliper with a least count of of `0.01 cm` was used to measure diameter of cylinder as `4 cm` and a scale `(0-15cm)` with the least count of `1 mm` was used to measue a length of `5cm`. The `%` error in the measurement of volume of the cylinder isA. `3.0`B. `4.0`C. `5.0`D. `2.5` |
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Answer» Correct Answer - D `V=(pid^2)/4l` `implies(/_V)/V=(2/_d)/d+(/_l)/l=(2xx0.01)/4+0.1/5=1/40` % error is volume `=(/_V)/Vxx100=2.5%` |
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| 7. |
`(i)` Two particles are in projectile motion. The apth of one particle as seen by another particle will be straight line. `(ii)` In order to cross a river of uniform width `(` flow is also uniform `)` in shortest time, swimmer must swim in perpendicular direction of river flow. |
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Answer» Correct Answer - `(i)` False `(ii)` True False There acceleration may be differenct. True `T=(W)/(V)` to minimize `T,V` will be maximum . `i.e.,` whole effort of swimmer must towards opposite bank. |
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| 8. |
Which of the following is Hinsberg reagent ?(1) C6H5SO2CH3(2) C6H5SO2Cl(3) SnCl2(4) COCl2 |
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Answer» Correct option (2) C6H5SO2Cl Hinsberg reagent is benzene sulphonyl chloride (C6H5SO2Cl) |
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| 9. |
For a cell, the terminal potential difference is `2.2 V`, when circuit is open and reduces to `1.8 V `. When cell is connected to a resistance `R=5Omega`, the internal resistance of cell `(R)` isA. `(10)/(9) Omega`B. `(9)/(10) Omega`C. `(11)/(9) Omega`D. `(5)/(9) Omega` |
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Answer» Correct Answer - A In an open circuit, emd of cell `E = 2.2 V` In a closed circuit terminal potential difference `V =1.8 V` External resistance, `R = 5 Omega` Thus, internal resistance of cell is `r = ((E)/(V) -1) R = ((2.2)/(1.8)-1)5` `=((11)/(9)-1)5=(2)/(9)xx5 =(10)/(9)Omega`. |
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| 10. |
Which was the first ship to Circumnavigate the world and who led this? |
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Answer» The first ship to circumnavigate the world was the ‘Victoria’ and Ferdinand Magellan the Portuguese sailor, led this expedition. |
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| 11. |
The Indian Institute of Science is located at ____?1. Mumbai 2. Bangluru3. Chennai4. Kolkata |
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Answer» Correct Answer - Option 2 : Bangluru The correct answer is option 2 i.e Bengaluru.
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| 12. |
After the Comptroller and Auditor General (CAG) has ceased to hold office he will not be eligible for further office under the Government of(a) any State(b) India or Government of any State(c) India(d) any Union Territory |
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Answer» (b) India or Government of any State |
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| 13. |
Which among the following countries North Atlantic Treaty Organisation (NATO) leaders will hold their next summit in 2017?A. Beijing, ChinaB. New York, USAC. Paris, ChinaD. Brussels, Belgium |
| Answer» Correct Answer - B | |
| 14. |
Who was the first Supreme Allied Commander of the North Atlantic Treaty Organization? 1. Harry Truman2. Winston Churchill3. George HW Bush4. Dwight Eisenhower |
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Answer» Correct Answer - Option 4 : Dwight Eisenhower The correct answer is Dwight Eisenhower.
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| 15. |
Assertion: In April 1949,North Atlantic Treaty Organisation was an association of 12 states which declared that armed attack on any one of them in Europe or North America would be regarded as an attack on all of them. Reason: Each state would be obliged to help the other. a) Both the Assertion and the Reason are correct and the Reason is the correct explanation of the Assertion. b) Both the Assertion and the Reason are correct but the Reason is not the correct explanation of the Assertion. c) The Assertion is incorrect but the Reason is correct. d) The Assertion is correct but the Reason isincorrect. |
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Answer» (a) Both the Assertion and the Reason are correct and the Reason is the correct explanation of the Assertion. |
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| 16. |
Given the contemporary realities of the world, how can the UN play a more important role? a) By being more assertive about human rights violations and calling for change. b) By letting the regional powers take change. c) By indulging US-China to resolve disputes. d) By being proactive and sending peace keeping forces to resolve territorial disputes. |
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Answer» (a) By being more assertive about human rights violations and calling for change. |
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| 17. |
What is TAN? Which form is required to apply for TAN? |
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Answer» A person who deducts tax at source has to apply for TAN number from Income tax authorities. TAN stands for Tax Deduction and Collection Number. The application for TAN has to be made in Form 49B in duplicate to the Assessing Officer within one month from the end of the month in which the tax is deducted for the first time. |
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| 18. |
State whether the following receipts are taxable in the hands of the individual and if so, under which head of income:(a) Profits arising from the sale of rural agricultural land situated in India. (b) Dividend income received from a company who has only earned agricultural income. (c) Profit on sale of personal jewellery. (d) A gift of Rs. 31,000/- each received from 5 friends on the occasion of the marriage.(e) Short term capital gains from the sale of equity shares on which securities transaction tax has been paid. |
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Answer» The treatment of the receipts is as follows: (a) Not taxable as the land transferred is a rural agricultural land and rural agricultural land is not a capital asset. (b) Dividend is exempt in the hands of the shareholder u/s 10(34). However, the company shall have to pay dividend distribution tax even though income received by the company is agricultural income and therefore exempt. (c) Taxable as income from capital gains as personal jewellery is a capital asset. d) All such gifts shall be exempt on the occasion of marriage. (e) It is taxable under the head capital gains at special rate of 15%. |
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| 19. |
What is the rate of Tax on winning from lotteries? |
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Answer» The prescribed rate is 30%. No surcharge, education cess or SHEC shall be added. |
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| 20. |
How taxable income of Individual is calculated? |
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Answer» The taxable income of an individual is calculated by adding incomes from all the 5 heads of income and income of any other person includible under Sec 60 to Sec 64 and then any loss is set off while calculating the aggregate income under 5 heads. |
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| 21. |
What is the permissible amount of deduction u/s 80 U? |
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Answer» The permissible deduction u/s 80 U is: (a) Rs. 75,000/- in case of a person with disability. (b) Rs. 1,25,000/- in case of a person with severe disability (80% or more disability) |
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| 22. |
What is the total quantum of deductions available to an assessee? |
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Answer» Deduction from gross total income equivalent to investment made of Rs. 1, 50, 000 whichever is less. |
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| 23. |
What is Deduction u/s 80 DD? |
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Answer» Deduction u/s 80DD is available for maintenance including medical treatment of a disabled dependent. |
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| 24. |
Explain quantum of deduction available u/s 80RRB? |
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Answer» The maximum limit of deduction specified under section RRB for claim on the Royalty received in respect of patent is Rs. 3,00,000/- |
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| 25. |
Name any two incomes, from which deductions are not allowed? |
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Answer» A. Short term & Long-term Capital Gain B. Lotteries |
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| 26. |
What is the Quantum of Deduction in respect of Investment made under (Sec 80 CCG) in Equity Saving Scheme? |
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Answer» Deduction will be allowed (a) to the extent of 50% of the amount invested in such equity shares or units OR (b) Rs. 25,000 whichever is less. |
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| 27. |
When was GST implemented in India? |
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Answer» 1st July 2017 GST implemented in India. |
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| 28. |
What is the maximum qualifying limit as per section 80 CCE? |
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Answer» Rs. 1, 50,000/- maximum qualifying limit as per section 80 CCE. |
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| 29. |
What is the Quantum of Deduction in respect to Sec 80 C of Income Tax Act, 1961? |
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Answer» An amount equivalent to investment made of Rs. 1,50,000, whichever is less, is allowed as deduction from gross total income. |
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| 30. |
what is the maximum limit of deduction u/s 80 QQB in respect of royalty income of authors of certain books? |
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Answer» Rs. 3, 00,000/ |
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| 31. |
Match the following products and slogans appropriately :(a) Tooth pasteAdd taste(b) PenA new style in cooking(c) LPG StoveCool and pleasant(d) Air - conditionerA sparkling smile(e) SaltThe magic of words wear and tear |
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Answer» (a) - A sparkling smile (b) - The magic of words (c) - A new style in cooking (d) - Cool and pleasant (e) - Add taste |
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| 32. |
Match the following Products and Slogans appropriately :(a) BookSmooth flooring(b) Colour pencilsBrowse into the world(c) TilesRefresh yourself(d) ComputersSharpen your knowledge(e) CoffeeAim for the skies paint your world |
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Answer» (a) - Sharpen your knowledge (b) - Paint your world (c) - Smooth flooring (d) - Browse into the world (e) - Refresh yourself |
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| 33. |
How would a salesperson close a sale:- a. in case of technical products b. in case of non-technical products |
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Answer» In case of technical product: - The salesman should try to gain commitment in two ways (i) Fix up another meeting (ii) Ask for commitment In case of non-technical products : - The salesman should try to sell the product in first and the only call |
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| 34. |
Match the following Products and Slogans appropriately :(a) Tata saltremain cool(b) ShampooThe sports man's magazine(c) ACWater purification(d) Sports starAdds taste(e) Aqua guardLeaves your hair smooth and silky |
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Answer» (a) - adds taste (b) - Leaves your hair smooth and silky (c) - remain cool (d) - the sports man’s magazine (e) - water purification |
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| 35. |
Why do companies provide after-sale services? |
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Answer» 1 To build customer relationship by creating customer loyalty 2. To bring more individuals and eventually more revenues for the organisation by satisfying customers needs. 3. Any other relevant point |
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| 36. |
Prepare a list of questions to make your presentation for selling an electronic mixer grinder. |
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Answer» 1. Are you already using a Mixer Grinder ? 2. Why do want to change the Mixer Grinder ? 3. Did you have problem using the machine, repairing problem or any other ? 4. Would you like to go for an easy instalment scheme or cash down option ? |
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| 37. |
Match the following Products and Slogans appropriately :(a) OintmentKitchen mate(b) Computera comfortable sole(c) ShoesFlawless writing(d) Boll point penKey to knowledge(e) Mixer grinderSmooth cure |
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Answer» (a) - smooth cure (b) - key to knowledge (c) - a comfortable sole (d) - flawless writing (e) - kitchen mate |
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| 38. |
Find the acute angle between the lines `(x-4)/(3)=(y+3)/(4)=(z+1)/(5) " and" (x-1)/(4)=(y+1)/(-3)=(z+10)/(5)` |
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Answer» Vector in the direction of first line `vecb=(hat3I+hat4j+hat5k)` Vector in the direction of second line `vec d=(hat4i-hat3j+hat5k)` Angle `theta` between two lines in given by `cos theta=(vecb.vecd)/(|vecb||vecd|)` `costheta =((hat3i+hat4j+hat5k).(4hati-3hatj+5hatk))/(|(hat3i+hat4j+5hatk)||(4hati-3hatj+5hatk)|)` `rArr cos theta =(12-12+25)/(sqrt(9+16+25)sqrt(9+16+25))` `rArr cos theta =(25)/(sqrt(50)sqrt(50))` `rArrcos theta =(1)/(2)` `rArrtheta= (pi)/(3)` |
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| 39. |
If `vec(a)+vec(b)+vec(c )=0 " and" |vec(a)|=3,|vec(b)|=5, |vec(c )|=7`, then find the value of `vec(a),vec(b)+vec(b).vec(c )+vec(c ).vec(a)`. |
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Answer» ` (veca+vecb+vecc).(veca+vecb+vecc)=0` `rArrveca.veca+veca.vecb+veca.vecc+vecb.veca+vecb.vecb+vecb.vecc+vecc.veca+vecc.vecb+vecc.vecc=0` `rArr |veca|^(2)+|vecb|+|vecc|^(2)+2(veca.vecb+vecb.vecc+vecc.veca)=0` `rArr 3^2+5^2+7^2+2(veca.vecb+vecb.vecc+vecc.veca)=0` `rArr 2(veca.vecb+vecb.vecc+vecc.veca)=-(9+25+49)` `rArr(veca. vecb+vecb.vecc+vecc.veca)=-(83)/(2)` |
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| 40. |
For three non-zero vectors `vec(a),vec(b) " and"vec(c )`, prove that `[(vec(a)-vec(b)) (vec(b)-vec(c)) (vec(c )-vec(a))]=0` |
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Answer» `=(veca-vecb).{(vecb-vecc)xx(vecc-veca)}` `=(veca-vecb).{vecbxxvecc-vecbxxveca-veccxxvecc+veccxxveca)}` `=(veca-vecb).{vecbxxvecc-vecbxxveca+vecxxveca}........(veccxxvecc=0)` `=(veca-vecb).{vecbxxvecc+vecaxxvecb+vecxxveca}` ` =veca.(vecbxxvecc)+veca.(vecaxxvecb)+veca.(veccxxveca)-vecb.(vecbxxvecc)-vecb.(vecaxxvecb)-vecb.(vecxxveca)` `=veca. (vecbxxvecc)+0+0-0-0-vecb.(veccxxveca)` `=veca. (vecbxxvecc)-vecb.(veccxxveca)` `=0` (STP remains same if vectors `veca,vecb,vec` are changed in cyclic order) |
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| 41. |
A particle moves along the curve `x^(2)=2y`. At what point, ordinate increases at the same rate as abscissa increases ? |
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Answer» `x^2y......(1)` `rArr2x(dx)/(dt)=2(dy)/(dt)" "("given "(dy)/(dt)=(dx)/(dt))` `rArr 2x(dx)/(dt)=2(dx)/(dt)` `rArr x=1` from (1) `y=(1)/(2)` so point is `(1,(1)/(2))` |
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| 42. |
Which of the following is the square root of 21316?1. 1542. 1363. 1464. 134 |
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Answer» Correct Answer - Option 3 : 146 Concept used: We can get the square root by prime factorization method Calculation: 21316 = 2 × 2 × 73 × 73 21316 = 22 × 732 ⇒ 21316 = (2 × 73)2 ⇒ 21316 = 1462 ∴ The square root of 21316 is 146 |
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| 43. |
If the product of two numbers is 60 and the sum of their squares is 169, then what is the sum of these two numbers?1. 172. 153. 194. 13 |
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Answer» Correct Answer - Option 1 : 17 Given: Product of two numbers = 60 Sum of the squares of the two numbers = 169 Formula used: (a + b)2 = a2 + b2 + 2ab Calculation: Let the two numbers be x and y Then, according to the question: xy = 60 ----eq.(1) x2 + y2 = 169 ----eq.(2) Also, (x + y)2 = x2 + y2 + 2xy ⇒ (x + y)2 = 169 + (2 × 60); From eq.1 and eq.2 ⇒ (x + y)2 = 289 ⇒ x + y = 17 ∴ Sum of the two numbers = 17 |
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| 44. |
Square root of which of the following numbers will be an irrational number?1. 42352. 72253. 84644. 3136 |
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Answer» Correct Answer - Option 1 : 4235 EXPLANATION: √7225 = 5 × 5 × 17 × 17 = 85 √8464 = 4 × 4 × 23 × 23 = 92 √3136 = 4 × 4 × 14 × 14 = 56 4235 = 5 × 7 × 11 × 11 ∴ Square root of 4235 is irrational number |
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| 45. |
Evalaute: lim(x→0) cosx/(π - x) |
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Answer» lim(x→0) (cosx/(π - x) = cos0/(π - 0) = 1/π |
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| 46. |
Write the negation of the statement “√2 is a complex number. ” |
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Answer» “√2 is not a complex no.” |
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| 47. |
The integrating factor of (x log x) dy/dx + y = 2 log x is(A) x (B) ex (C) logx (D) log (logx) |
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Answer» Correct option: (C) logx |
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| 48. |
Let f : A → B, g : B → C be bijections. Then prove that (gof)–1 = f–1og–1. |
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Answer» f : A → B, g : B → C are bijections ⇒ gof : A → C is a bijection Also g–1 : C → B and f–1 : B → A are bijections ⇒ f –1og–1 : C → A is a bijection. Let c be any element of C. Then ∃ an element b ∈ B such that g(b) = c ⇒ b = g–1(c) Also ∃ an element a ∈ A such that f(a) = b ⇒ a = f–1 (b) Now (gof) (a) = g(f(a)) = g(b) = c ⇒ a = (gof)–1 (c) ⇒ (gof)–1 (c) = a ——— (1) Also (f–1og–1) (c) = f–1(g–1(c)) =f–1(b) = a ——— (2) ∴ From (1) and (2); (gof)–1(c) = (f–1og–1) ( c) ⇒ (gof)–1 = f–1og–1. |
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| 49. |
In the figure, line l || line m and line p || line q. Find the measures of ∠a, ∠b, ∠c and ∠d. |
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Answer» i. line l|| line m and line p is a transversal. ∴m∠a = 78° …(i) [Corresponding angles] ii. line p || line q and line m is a transversal. ∴m∠d = m∠a …[Corresponding angles] ∴m∠d = 78° …(ii)[From (i)] iii. m∠b = m∠d …[Vertically opposite angles] ∴m∠b = 78° …[From (ii)] iv. line l|| line m and line q is a transversal. ∴m∠c + m∠d = 180° …[Interior angles] ∴m∠c + 78° = 180° … [From (ii)] ∴m∠c =180° – 78° ∴m∠c = 102° ∴m∠a = 78°, m∠b = 78°, m∠c = 102°, m∠d = 78° |
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| 50. |
in the given figure, AB ll CD and a transversal PQ cuts AB at E and CD aat F. if angke PEB = 70, angle BEG= 30, angle EGF=25, angke GDF= x and angle EGF= y, find the value of x and y |
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Answer» x=45 and y=75 |
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