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. |
EXERCISE 8.1Find the amount and the compound interest on Rs 2500 for 2 years at 10% per annum, compounannually. |
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| 2. |
li. Find the amount of1,25,000 after 3 years, when the interest is compounannually at the rate of 6% per annum. |
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| 3. |
nt of 2,400 after 3 years when the interest is compounded annuallof 20% per annum.2.407. Find the amountat the rate |
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| 4. |
6. On Monday, the price of one shareof Webb Company stock was24.85. By Friday, the price was25.004. By how much did the pricechange from Monday to Friday? |
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Answer» Price of share on Monday = 24.85 Price of share on Friday = 25.004 Change in price of share = 25.004 - 24.850= .154 paise |
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| 5. |
2. The probability of guessing the corict ts ti certaii test is t2 . Ifthe probabilityof not guessing the correct answer te this questioa is . then find the value of p.3 |
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| 6. |
, प्रत्येक धनात्मक विषमअं nt+l(iv) शान | |
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Answer» Ans :- Option (4) 2n + 1 Put n = 1 = 2×1 + 1 = 3 Put n = 2 = 2×2 + 1 = 5 |
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| 7. |
ही. ७970 (Lo9001oWlom AP6६. 15. (5151065 _1८ 5-20 जा.Hhree donrs oudhls NT ) ~ |
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Answer» If nth term of an A.P = 2n+1 then, first term of A.P = 2(1)+1= 2+1= 3then, second term = 2 (2) + 1=4+1=5third term = 2 (3) +1=6+1=7sum of terms = 3+5+7sum of terms = 15 |
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| 8. |
Aakash lent8,000 to his friend for 3 years at the rate of 5% per annum compounntl. jnerest. What amount does Aakash get after 3 years? |
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Answer» compound interestso A=P(1+R/100)^3 =8000(1+5/100)^3 =8000*(1.05)^3=9261 |
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| 9. |
26retl= 7 then find the value of.ntl22 |
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| 10. |
Selye the system of equations 2x+y 5 and 3x + 2y 8 by cross-multiplication method |
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| 11. |
Il a and bLandare rational ne.NTL 7THE A-6 NZZ |
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| 12. |
DAVINDRA THREE-IN-ONESolve the following pair of lincar equation by using crossmultiplication method:2x + y = 5 and 3x + 2y = 8oto |
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Answer» x=3 and y=-1 equally X=2 and y=1 right answere it is the xbarabr 2 and y barar 1 x= -3 y=1 is correct solution. x=3 and y= -1 equally right answers Please like X=2,y=1 by cross multiplication x=2 y=1 is the correct answer x=2,y=1 this is a right answer 2x + y =5,then, y = 5 - 2x ......- 3 and eq. 2 3x + 2y = 8then, put eq.3 in eq.23x + 5 - 2x = 8x + 5 = 8x = 3 put in eq. 3then y = -1 Y=1 is the right answer. x=2 y=1this is right answer 2x+y=5-3x+2y=8x=2y=1-. - 2x+y=5 (1)×3 3x+2y=8 (2)×2 6x+3y=15 6x+4y=16- - - 3y-4y=15-16 -y =-1 y =1 from equation (1)2x+y =52x+1=5 2x=5-1 x =4/2 x= 2. answer3x+2y=8 (2) the correct answer is x=2 y=1 x=2, y=1 is the correct answer 2x+y=5y=5-2xnow put y value in second iquation3x+2y=83x+2(5-2x)3x+10-4x=8-x+10=8-x=8-10-x=-2x=2now put x value in first equation2x+y=52(2)+y=54+y=5y=5-4y=1so x=2 and y= 1 x=18/7,y=-1/7 х=2 αnd ч=1 αftєr ѕσlvíng hσw tσ ѕσlvє fírѕt єquαl єq1 αnd αq2 let,2x+y=5___(1)3x+2y=8___(2)Multiplying equation (1) by 2,4x+2y=10___(3)Subtracting equation (2) from equation (3), 4x+2y=10- 3x+2y=8_____________ X. =2X=2put X=2 in equation (1),2×2+y=5 4+y=5 y=5-4 y=1 X=2 and y=1 is solution x = 2 and y = 1 this right answer x = 3 and y = -1 equally x=-3,y=1 is your correct answer x=2 y=1 is the write answer 2x+y=5___________(1)×23x+2y=8_____________(2)तब,4x+2y=10_________(3)3x+2y=8___________(2)_____________________घटाने परx+0=2X=2,समीकरण (1)मे X=2 रखने पर 2x+y=5___(1)2×2+y=54+y=5y=5-4y=1 |
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| 13. |
(ii) ta&sin-14)(ita in |
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| 14. |
s by using cross-multiplication.3x2x 12 |
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Answer» (2(2)-3(3))/6x=1/12-5/x=1/2so x=-10 |
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| 15. |
The 4h term of an AP is-13 and its 11th term is -34. Find the commonifference. |
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| 16. |
16. Solve the equations using cross multiplication method. |
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Answer» bx/a + ay/b = a2+ b2......... eq1 x + y = 2ab .... eq 2.. frm eq 1.. b2x + a2y / ab = a2+ b2 -> b2x + a2y = a3b + b3a -> b2x - b3a = a3b - a2y ->b2( x - ab ) = a2( ab - y ) -> frm eq 2 ... b2( x - x/2 + y/2 ) = a2( x/2 + y/2 - y ) -> b2( x/2 - y/2 ) = a2( x/2 - y/2 ) -> b2x - b2y = a2x - a2y -> x ( b2- a2) = y ( b2- a2) -> x = y .. put the value of x in eq 2.... 2y = 2ab |
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| 17. |
use identity(X+8) (X-10 |
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Answer» (x + a)(x + b) = x^2 + (a + b)x + ab(x + 8)(x - 10) = x^2 +(-8+ 10)x - 80 = x^2 - 2x - 80 use identity(x+8)(x-10) Identity used to solve the question |
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| 18. |
= a +by 22 +4 = 2 solve by crossmultiplication method |
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Answer» Given (x/a) + (y/b) = a + bMultiply by (1/a) both sides, we get(x/a^2) + (y/ab) = 1 + (b/a) → (1)Given other linear equation as (x/a2) + (y/b^2) = 2 → (2)Subtract (2) from (1), we get(x/a^2) + (y/ab) = 1 + (b/a)(x/a^2) + (y/b^2) = 2----------------------------------(y/ab) − (y/b2) = (b/a) − 1⇒ y[(b − a)/ab^2] = (b − a)/a∴ y = b^2Puty = b^2in (x/a^2) + (y/b^2) = 2⇒ (x/a^2) + (b^2/b^2) = 2⇒ (x/a^2) + 1 = 2⇒ (x/a2) = 1∴ x = a^2 shahs inch she'd KFC fix Hf no problem at all the |
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| 19. |
ajantly = a? tb? solve by crossmultiplication method. |
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| 20. |
Solve for 'x' and y' using cross-multiplication method:ax bya+b; ax-by 2ab. |
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Answer» Like my answer if you find it useful! |
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| 21. |
By using cross multiplication method 2x + y=5 , 3x + 2y = 8 |
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| 22. |
Answer: A district has a population of 296000 of which 166000 are male. 50% of the total number is educated. If 70% of total men are educated, then what is the number of educated women |
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Answer» Total population=296000No.of males=166000No.of females=296000-166000=130000 Given that 50% of population are literate,Then,no.of literate people=50/100×296000=148000 also given that 70% males are literate.Then,No.of literate males=70/100×166000 =116200 Now,No.of literate females=(literate people-literate males)No.of literate females=148000-116200No.of literate females=31800 Hence no.of literate females=31800 Total population=296000No.of males=166000No.of females=296000-166000=130000 Given that 50% of population are literate,Then,no.of literate people=50/100×296000=148000 also given that 70% males are literate.Then,No.of literate males=70/100×166000 =116200 Now,No.of literate females=(literate people-literate males)No.of literate females=148000-116200No.of literate females=31800 Hence no.of literate females=31800 |
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| 23. |
use identity to solve the following (3y+4) (3y+4) |
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Answer» a=3y b=4now (a+b)^2=a^2+b^2+2ab(3y+4)^2=9y^2+16+2×3y×4 =9y^2+16+24y |
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| 24. |
Use the first law to simplify the following,a) logio6 + logio3, |
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Answer» Hit like button if you find my answer useful ! |
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| 25. |
towers of height 28 m and 36 m are built at a distance of 15 m. Find thof the towers.e distance between the tops |
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Answer» As the difference between them is 36-28=8cm By Pythagoras theorem, 15²+8²=(distance bet. Their tops) ² 225+64 √289 =distance between tops 17m=distance between Their tops |
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| 26. |
e OO Ty= tanâ0sinâ0 |
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| 27. |
itaclltheoppositestecorneraredwalkedtheoppofathetorectangularsame point diagonally to the opposite corner. What is the distance walked by LovieenTwo towers of height 28 m and 36 m are built at a distance of 15 m. Find the distance between the topsfrompoint diagonallyfield. Lovleenof the towers.15 m |
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| 28. |
What is flow chart? Write a function of following sybolsuse in flow chart |
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Answer» sphere rhombus rectangle quadrilateral |
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| 29. |
solve the following pair of linear equation in two variables by the cross- multiplication method:x/3 + y/5 = 1 and 7x - 15y =21 |
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| 30. |
Two persons, 27 km apart, setting out at the same time aretogether in 9 hours if they walk in the same direction, but in 3 hours29.if they walk ia opposite directions: find their rates of walking. |
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Answer» Let a = the walking rate of the 1st person which is the fastest walker let b = the walking rate of the 2nd person Given9(a - b) = 27(walking the same direction) 3(a + b) = 27(walking in opposite directions)on simplifying a-b=3a+b=9 Solving, 2a = 12a = 12/2 a = 6 km/hr, 1st person's ratethen 6 + b = 9b = 3 km/hr, 2nd person's rateLike if you find it useful |
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| 31. |
Ty छुधज्य्े> कान ५४ |
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| 32. |
+Ty+ 10) = (y |
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| 33. |
e= Ty AR |
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Answer» If we put x = 2 we will get 0/0 form so using L'hospital rule lim x ->2 (6x-1)/(2x) = (6×2-1)/2×2 = 11/4 |
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| 34. |
If CP =き1835, overhead expense = 145and profit percentage-12%, then what is tselling price?a) 2217.60b) 2216.70c)き2216d) 2214 |
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Answer» C.P.=1835expense=145so total C.P.=1980profit is 12%so S.P.=2217.60 |
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| 35. |
5x + Ty from 3x + 5y |
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Answer» 3x+5y-5x-7y=-2x-2y=-2(x+y) |
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| 36. |
xpHess 3 inAmty |
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Answer» Let 0.3 bar be x x = 0.3333...... (1) Multiply by 10 10x = 3.333 ..... (2) (2) - (1) 9x = 3 x = 3/9 x = 1/3 |
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| 37. |
27x° sTyX 3 |
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Answer» 27x³ - 64/x³ (3x)³ - (4/x)³ (3x - 4/x) ( (3x)² + (4/x)² + 3x × (4/x) ) (3x - 4/x) ( 9x² + 16/x² + 12) |
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| 38. |
Find aTyĺť- |
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Answer» thanks😃 |
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| 39. |
18. A man sells a handset for? 5600 and incurs a loss of 20%. He sells a second handset at aprofit of 50%. If on the whole transaction, he neither gains nor loses, find the cost priceof the second handset. |
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| 40. |
PA MPCD and GH are respectively the bisectorsof ZACB and 4 EGF such that D and H lieon sides AB and FE ofΔ ABC and Δ EFGrespectively. IA ABC-a FEG, show that:CD ACGH FG(iii) Δ DCA ~ Δ HGF |
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Answer» thanks |
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| 41. |
A Ia the folkow ing APs fiasd the missing torwns in the htorms in the h0 2 |
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Answer» a1= 2a3= 26a2 = 26-2 = 24 |
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| 42. |
6. A student goes to school at the rate of 20 km/h and reaches 6 minutes late. Iftravels at the speed of 3 km/h, he is 10 minutes early. What is the distance to school? |
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Answer» speed :- 2 1/2 = 2.5 km/hr6 min = 0.1 hour10 min = 0.16 hour distance = time difference*product of speeds / difference of speed time taken = 6 min + 10 min = 16 min = 0.267 hourproduct of speed = 2.5*3 = 7.5difference of speed = 3 - 2.5 = 0.5 applying the formula , distance = 0.267*7.5/0.5 = 2.0025 /0.5 = 4.005 km = 4 km (approx.) Like my answer if you find it useful! |
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| 43. |
Evaluate the determinants |
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Answer» = (2 × (-1) - (-5 × 4) ) = - 2 +20= 18 ANS gandhiji nu puru name 18 is the right answer of the following 18 is the right answer of the following (2×(-5×4))=-2+20=18and is correct 18 is the right answer |
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| 44. |
29. 1wo petogether in 9 h18. The sum of a number of two digits and of the number formedby reversing the digits is 110, and the difference of the digits is 6: findthe numbers.if they walk ia30. A family |
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Answer» Digit at one's place= x:: digit at tens place=y number= 10y+x:::: reversed number=》10x+y:::: 1st condition=10y+x+10x+y=110;;;; or 11x+11y=110:::: or x+y=10 ;;;;; 2nd condition= x_y=6 comparing 1st &2nd:;;; ;we get x=8 & y= 2 :, required number=28 |
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| 45. |
uribS IAAm |
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Answer» since the point is on y axis , so x-coordinate is 0 and distance along y from x axis is 4. so, point is (0,4) is this correct okay one answer is (0,4) and another is (0,-4) because we have to find both +ve and -ve coordinates yes now its perfectly correct from which country you belong |
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| 46. |
The Sum of two members is 15 and the difference of their squares is 15.the difference of the Number is . |
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| 47. |
A man sells a sari for RS. 2100 and makes a profit of 16 2/3% . Find the cost price of the sari |
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| 48. |
A man sells a sari for Rs. 2100 and makes a profit of 16 2/3 % . Find the cost price of the sari. |
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| 49. |
A man buys an article for 50 and makes overhead exprice. At what price must he sell it to gain 20%?penses which are 10% of the cost |
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| 50. |
29. Prove that the largest rectangle inscribed in a given circle is a square |
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