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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. |
(14) Four year ago, the sum of the ages offour persons was 40 years. After twoyears, the sum of the ages of the samefour persons will be years. |
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Answer» the sum of ages of 4 people is 40after 4years the sum of the ages of the same 4 people is40+4+4+4+4+4=40+14=54therefore the sum of ages after 4 years will be 54 |
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| 2. |
Prove that the straight line joining the points (-1, 3) and (4, -2) passes through the point |
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Answer» the equation of straight line passing through (-1,3) and (4,-2) is( y-3) = (4+1)/(-3-2)*(x+1) => y-3 = -x-1=> y = -x+2 now put a and b in this line as x and y => b = -a +2 ==> b+a = 2. this holds true.
thanks |
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| 3. |
5. If :e straight line joining two points P (5, 8) and Q (8, ') is parallel to x-axis, then write thevalue of k. |
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| 4. |
Lolhof the toiel |
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Answer» Let the width of the room be 'b' mLength of the room = 15 mArea of the room = 15 × b = 15b m2Total cost of carpeting = Rs 19200Cost of carpet per metre = Rs 80Length of the carpet = 19200 / 80 = 240 mWidth of the carpet = 75 cm = 0.75 mArea of the carpet = 240 x 0.75Area of the room = Area of the carpet⇒15b = 240 × 0.75⇒ b = (240 × 0.75) / 15 = 12Therefore, width of the room is 12 m. |
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| 5. |
Prove that the straight line joining the vertexof an isosceles triangle to any point in thebase is smaller than either of the equal sidesof the triangle. |
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| 6. |
Q9. Determine the ratio in which the straight line x-y-2 0 dividesthe line segrment joining (3, 1) and 8, 9) |
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Answer» wrong😤 |
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| 7. |
find o Valuo ofa and b |
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Answer» Can solve this qn that have put please That simplify |
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| 8. |
A circle passes through the points (-1, 1), (0, 6) and (5, 5). The point(s) on this circle, the tangent(sat which is/are parallel to the straight line joining the origin to its centre is/are |
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| 9. |
4.a Tangents are drawn from the point (h, k) to the circle x2y? - a, prove that the area of the trianglea(h2+k2 -a2)322 ,k2formed by them and the straight line joining their points of contact isC. |
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Answer» pls post a clear image |
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| 10. |
EXAMPLE 13.If the manufacturer gainswhat i606, the wholesale dealer 8% and the retailer 10%, t15741?ts the production cost of a geyser whose retail price is |
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Answer» PLEASE HIT THE LIKE BUTTON |
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| 11. |
10.The list price of a table fan isretailer sell it to gain 15%?480 and it is available to retailer at 25% discount. For how much should a |
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Answer» yes you are right |
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| 12. |
in© = xand cos 0 — 3 sin = y.के 9-20 न 5. |
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| 13. |
SECTION-A1. If2 is a root of both the equations ax +ax +3-0 and x +D-0,then what is thevalue of ab ? |
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| 14. |
2.If the length of a rectangle is 15 cm and breadth is 5 cm, find its area. |
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Answer» 75 is correct answer of this 75 is the correct answer.. l=15,b=5l×b =15×5=75 |
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| 15. |
Ifsec8-5, then find the value of 2 (see θ + tar29.2 |
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| 16. |
itsretailer 30% discount. What does the retailer pay lol tn mA shopkeeper gives a discount of 10% for cash paymentis 13.502cashpi. At what price is an article marked if000 for it |
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| 17. |
0 - Ги = 1-2 иSeevsseyno Ке |
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Answer» X= 3 is the correct answer of the given question |
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| 18. |
11. By sellingdinir for? 900, 8 retailer lost 10%. For what price should he sell it togetproft of 10% ? |
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Answer» Selling price of chair SP = 900Cost price of chair CP = SP(1 + 10/100)= 900(11/10)= 90*11= 990 For profit of 10% selling priceshould be = CP(1 + 10/100)= 990(11/10)= Rs 1089 |
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| 19. |
(a)Awholesaler buys a TVfrorn the manufacture r for25,000.He marks the price of the TV20% above his cost price and sells it to a retailer at a 10% discount on the marked price ifthe rate of VAT is 8%, find the :(i) marked price(Ăź) retailer 's cost price inclusive of tax.(ii) VAT paid by the wholesaler13) |
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| 20. |
2, Y See+4lomd = P Jow Fuel valuo of Gsce O ( |
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Answer» Secθ+tanθ=p ----------------------(1)∵, sec²θ-tan²θ=1or, (secθ+tanθ)(secθ-tanθ)=1or, secθ-tanθ=1/p ----------------(2)Adding (1) and (2) we get,2secθ=p+1/por, secθ=(p²+1)/2p∴, cosθ=1/secθ=2p/(p²+1)∴, sinθ=√(1-cos²θ)=√[1-{2p/(p²+1)}²]=√[1-4p²/(p²+1)²]=√[{(p²+1)²-4p²}/(p²+1)²]=√[(p⁴+2p²+1-4p²)/(p²+1)²]=√(p⁴-2p²+1)/(p²+1)=√(p²-1)²/(p²+1)=(p²-1)/(p²+1)∴, cosecθ=1/sinθ=1/[(p²-1)/(p²+1)]=(p²+1)/(p²-1) Like my answer if you find it useful! |
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| 21. |
A retailer sold a T.V. for *4,400 at a gain of 10%. Find his C.P. |
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Answer» nice answerrrrr...... |
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| 22. |
Nunber of sndssLess han 46Less than asless than sLess thsa Shew alss then ope ogive e the given datia Hence obtain the median weight fomthe graph and venis the result by using the brmulaThe BillewingsPralacsion yiald0ss.60table gives prshiction yield per hectare ofwheat of100 arms of a villagePrnd50-$5 $5-60 60-65 65-70 70-75 75.801224 3816the distibution to a more than type distribution, and draw its ogive.his chapter, you have studiod the ellowing points:1. The mean ör grouped data can be ound by:6) the direct method :-ะไ |
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Answer» muh mein lele answer mil jayega send clear photo i did not understand |
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| 23. |
Practice timel) Length of the nail -2 cm and_mmor 2.cm2 |
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Answer» length of the nail is 2 cm and 9 mmor, 2cm+9/10cm= 2.9 cm |
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| 24. |
Practice SFill in the blanks.7,54 km =6.42 L =721 g =cmmL |
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| 25. |
The cost of 5kg ofwheat is8 kg of wheat.G10.30.50. Find themuch doesco of |
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Answer» 5kg wheat=30.501kg wheat=30.50/51kg=6.18 kg of wheat=8×6.1=48.8rs |
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| 26. |
19. A part of the monthly expenses of a family isconstant and the remaining varies with the price ofwheat. When the rate ofwheat is Rs. 250 a quintal,the monthly expenses of the family is Rs. 1000and when it is Rs. 240 a quintal, the monthlyexpenses is Rs. 980. Find the monthly expensesofthe family on wheat when the cost of wheat isRs. 350 a quintal, |
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Answer» Let the constant expenditure be ₹.x Let the consumption of rice by the family be y quintals. x+250y=1000------------------(1) x+240y=980-------------------(2) Subtracting eq (1)and(2) x + 250y =1000 x + 240y = 980 (-) (-) (-) --------------------------- 10y = 20 y= 20/10 y= 2………….(3) Put the value of y in eq 1 x+250y=1000 x + 250(2) = 1000 x+ 500 = 1000 x= 1000-500 x=500………….(4) Total monthly expenditure when the cost of rice ₹350 = constant expenditure + consumption of rice at ₹ 350 per quintal. = x+350y = 500 + 350 × 2 ( From eq 3 & 4) = 500+ 700 = ₹ 1200 Hence, the Total monthly expenditure when the cost of rice ₹350 is ₹ 1200 |
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| 27. |
4. A rectangle has a fxved length but varyingbreadth. The value of its area with respect toits breadth is given Find the area of a rectanglewith breadth 5 cmArea (cm121 |
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Answer» Area =length*breadth121=length*11length=121/11=11cmNow, length=11cm breadth=5cmArea of rectangle=11*5=55cm^2 |
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| 28. |
Find (a + by -a -b)'. Hence, evaluateHence, evaluate (3 +v(3+2)- (3-2), Fin |
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| 29. |
. The sum of n terms of an A.P. is 312 + 5m. Find the A.P Hence find its 15th term.11,1' Hence find its 15th |
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| 30. |
17. If2(a2+b2)-(atb)', then show that a-b |
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Answer» 2(a*a + b*b) = (a+b)(a+b) 2a*a + 2b*b = a*a + 2ab + b*b a*a - 2ab + b*b = 0 (a-b)(a-b) = 0 a - b = 0 a = b If you find it helpful then please like. |
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| 31. |
4 Find the value of 0 if2 sin 203. |
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| 32. |
If2 cas 0prove thatT (ii)2 \cos 4 \theta=\alpha^{4}+\frac{1}{a^{4}} |
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| 33. |
1 If2, 3) is the solution of 2x+3y+5 0, Can you guess how many such solutions exist? |
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Answer» Given : 2x + 3y + 5 = 0 2 × 2 + 3 × 3 + 5 = 4 + 9 + 5 = 18 So, 18 is not equal to 0 So, (2,3) is not a solution. There are infinite solution |
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| 34. |
Average of 5 numbers is 9. If2 is added to eachnumber then what is new average?3.B. 10D. 15C. 8 |
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Answer» Average of 5 numbers= Sum of all numbers /5 Then,Sum of numbers = 9*5 = 45 If 2 is added to each number, Sum of numbers will be equal to = 45 + 2*5 = 55 Therefore, New Average = 55/5 = 11 (A) is correct option |
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| 35. |
See 2+y- 11 and 2x -4-24 and hence find the value of m' for whichand 2x4y24 and hence find the value of m' for which |
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Answer» please like my answer if you find it useful |
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| 36. |
(-2/3)^4*((-3/4)^3 %2B 125/8) |
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Answer» don't know what you think the correct answer of the following question is 8/9 8/9 is the correct answer of the given question |
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| 37. |
3.The price of rice is increased by 20% .By whatpercentage should the consumption be reduced sothat the expenditure on rice remains the same? |
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Answer» consumption be reduced by 20% |
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| 38. |
31,The income of a broken remains unchanged though the rate ofcommission is increased from 4% to 5%. The percentage of slumpin business is:(a) 1% (b) 8%(c) 20% (d) 80%there are 3 papers of Mathematies of 100 |
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| 39. |
2)Write the ideal gas equation for 'n' moles of a gas |
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Answer» The ideal gas law, also called the general gas equation, is the equation of state of a hypothetical ideal gas. It is a good approximation of the behavior of many gases under many conditions, although it has several limitations. It was first stated by Émile Clapeyron in 1834 as a combination of the empirical Boyle's law, Charles's law, Avogadro's law, and Gay-Lussac's law.The ideal gas law is often written as PV = nRTwhere, P= pressure of the gas; V=volume of the gas; n= Number of Moles; T=Absolute temperature; R=Ideal Gas constant also known as Boltzmann Constant = 0.082057 L atm K-1 mol-1. |
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| 40. |
4+3 root 5 /4-3 root 5=a+b root 5 |
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| 41. |
812538231. Convert each of the following fractions into a percentage(iv)4710019500204(viii) 1(vii) |
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| 42. |
11-31. 1 C) €)=() then Find the value of nthen Find the value of n |
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Answer» (3/2)^5 * (3/2)^6 = (2/3)^n-3 (3/2)^[5 + 6] = (2/3)^n-3 (3/2)^11 = (2/3)^n-3 (2/3)^-11 = (2/3)^n-3 As base are equal so exponent should also be equal n - 3 = -11n = - 11 + 3 = - 8 Therefore, value of n = - 8 |
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| 43. |
4) If 125 of 1000 eggs are broken, whatpercentage remains |
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Answer» 125 out of 1000 are broken so 875 remain so percentage of remain 875/1000 * 100 = 87.5% |
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| 44. |
Express each of the following as a percentage925312512 |
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| 45. |
43. If each edge of a cube is increased by 50%, the percentage increase in thesurface area is(a) 50%(b) 75%(c) 100%(d) 125% |
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| 46. |
32. A wooden toy is in the shape of a conemounted on a cylinder, as shown in thefigure. The total height of the toy is 26 crmwhile the height of the conical part is 6 cm.The diameter of the base of the conicalpart is 5 cm and that of the cylindricalpart is 4 cm. The conical part and thecylindrical part are respectively paintedred and white. Find the area to be paintedby each of these colours.[Take Tt 21 |
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| 47. |
Three years ago, the population of a town was 50000. If the annual increase duringyears be at the rate of 5%, 4% and 3% respectively, what is its presentthree successivepopulation? |
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| 48. |
36. The no.of moles present in 553 gr of KMnO, isc) 4.5molesa)3.5 molesb) 3.25molesd) 5.5 moles |
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Answer» Option a is correct |
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| 49. |
Find the area of smaller region bounded by theellipsex^2/16 +y^2/9 =1and the straight line x/4 + y/3 =1. |
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| 50. |
36. The no.of moles present in 553 gr of KMnO, isa) 3.5 moles b)3.25moles c)4.5moles |
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Answer» Number of moles=amount/molecular mass=553/158=3.5a)3.5moles |
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