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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. |
1. The radii of two circles are 19 cm and 9 cm respectively.Find the radius of the circle which has circumference equalWH |
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| 2. |
I. The length and breadth of a rectangle are in the ratio 6:3. f its length is 80 cm, find its breadth2 The map of a rectanular field is drwn on a scale 1:90 If the scrual length of the field is 270 m, whar |
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| 3. |
14. Using property of squ |
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Answer» a^2-b^2= (a+b)(a-b)(24-23)(24+23)1* 47= 46 47 in the place of the 46thanks 47 is correct answer 47 is the correct answer (a+b)(a-b)(23+24)(24-23)47×146 47 is the correct answer of this question a²-b²=(a-b)(a+b)similarly, 24²-23²=(24-23)(24+23) =1 × 47 =47 (a+b)(a-b)(24+23) (24-23)47×147 is the right answer |
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| 4. |
of the number so obtaineu.ch is a perfect square. Find the squsquare. Also, find square root of the number soFind the greatest number of six digits which is a perfect saroot of this number. |
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| 5. |
The side of a square is 9 metre; find the area of this squ |
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Answer» AREA OF SQUARE = side x side9*9= 81 m^2 please like the solution 👍 |
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| 6. |
imate the va0 80Find the squ1) 2304 |
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Answer» Question you have submitted is incomplete. Please post a complete question. |
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| 7. |
Convert the following into days(a) 2 ordinary years(c)S ordinary years 24 dayst the following into months : |
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Answer» 1 year = 365daysa) 2 years = 365*2 = 730 days.b) 5 years 24 days = (5*365)+24= 1825+24= 1849 days. Please hit the like button if this helped you out |
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| 8. |
7Whar number should be added toTL |
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| 9. |
arallel ins ainsansvepal 1henoreorm aredapal |
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| 10. |
EAERCISE i(C)How many terms of the series 42, 36, 30..a ount to 150? |
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Answer» a=42d=36-42=-6S=150Sn=n/2(2a+(n-1)d)150=n/2 (2(42)+(n-1)(-6))300=n(84-6n+6) 300=n(90-6n) 50=n(15-n)n^2-15n+50=0n^2-10n-5n+50=0n(n-10)-5(n-10)=0(n-5)(n-10)=0n=5 n=10 |
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| 11. |
Whar fractionthe followArrange the following fractions in ascendiende2 |
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| 12. |
2. The lid of a rectangular box of sides 40 cm by 10 cm is scaled all round with tape.What is the length of the tape required? |
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| 13. |
B Write a speech on 'Conservation of Electricity' to be delivered on(3 Marks)Environment Day'. |
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| 14. |
27 A force of 200 N acting on an object of mass 200 Kg accelerates it from 2 m/s. Calculate its momentumand change in momentum when it has travelled a linear distance of 200 m. |
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| 15. |
A train moving at 49 mph meets and is passed by a train moving at 63 mph. Apassenger in the first train noted that the second train took as seconds to pass him.How long is the second train? |
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Answer» The effective speed between the trains: 49 + 63 = 112 mphAssume the passenger is stationary and the 2nd train is passing himat 112 mph:speed in ft/sec, mult by 4.5 sec: (112*0.44704m/s)*4.5sec=739.5 ft is the length of the train |
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| 16. |
. A line segment is o15 cm. Iftinates of its one end are (2, 2) andthat of the othef endI, x), then fmd the value of x. |
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Answer» x = -2, x = 6 |
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| 17. |
उदाहरण 12. ॥| ० (811 2” 8९८० 3८ का मान ज्ञात कीलिए। |
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| 18. |
4.Solve the following equations for x, y.Clr y.y |
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| 19. |
1.ज्ञात कीजिए(i) 811/22.ज्ञात कीजिए :-(i) 43/2सरल कीजिए।3.23|(i) 22/3.21/7 । |
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| 20. |
Subtract -134 from the sum of 38 and -87. |
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Answer» 85 |
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| 21. |
6. Subtract-134 from the sum of 38 and -87. |
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Answer» 85 is the correct answer |
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| 22. |
लघुतम समापवर्त्य एवं महत्तम समापवर्तकसे छोटी संख्या निकालिए जिसमें 12, 15, 21, 36, 48 से भाग देने पर हरेक हालतष रहे।ह छोटी-से-छोटी संख्या ज्ञात करें, जिसमें यदि 23 जोड़ दिया जाए, तो वह 32,36, 46 से पूरी-पूरी विभाजित हो जाए।अंकों की वह बड़ी-से-बड़ी संख्या ज्ञात करें, जो 24, 36, 48, 60 से पूर्णतः विभाजितअंकों की वह बड़ी-से-बड़ी संख्या ज्ञात करें, जो 20, 24, 35 और 45 से पूर्णतया वि।गे।।स्सी की कम-से-कम ऐसी लम्बाई ज्ञात करें, जिसको 45 सेमी, 75 सेमी और 811टुकड़ों में पूरा-पूरा काटा जा सके।वह कौन-सी सबसे बड़ी संख्या है, जो 663 और 936 को पूर्णतः विभाजित करती हैवह कौन सी सबसे बड़ी संख्या है, जो 805, 1311 और 1978 को पूर्णतः विभाजिवह बड़ी-से-बड़ी संख्या ज्ञात करें, जो 245 और 1029 को विभाजित करे, तो प्रत्येक5 शेष बचे।।वह बड़ी से बड़ी संख्या ज्ञात करें, जो 398, 436, 542 को भाग करें, तो क्रमशः ।15 शेष बचे।वह बड़ी-से-बड़ी संख्या कौन सी है, जिससे 187,233 तथा 279 को भाग देने परमें समान शेष बचे ?किसी विद्यालय के शिक्षक प्रतिदिन 18 रुपये 35 पैसे बचाते हैं, तो उन दिनोंसंख्या ज्ञात करें, जिसमें कि रुपयों को पूर्ण संख्या के रूप में बचाने में वे समःएक लड़का नित्य 45 पैसे बचाता है। कम से कम दिनों की संख्या ज्ञात कपूर-पूरे रुपयों की राशि बचा लेगा ?5 अंकों की वह बड़ी से बड़ी संख्या ज्ञात करें, जिसको 9,12, 24 और 45 से77 18 और 39 शेष बचे। |
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Answer» 43 is a correct answer |
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| 23. |
6. Subtract -134 from the sum of 38 and -87. |
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Answer» 85 is the correct answer of the given question |
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| 24. |
12x+36 |
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Answer» 12x+36=012x=-36x=-36/12 x=-3 |
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| 25. |
3. Find the roots of the following equations:No r.1-3.++0 Endi and |
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Answer» x^2-1/X=3x^2-1=3xx^2-1=3xx^2-3x-1=0X=-b+-√b^2-4ac/2aX=3+-√9+4/2X=3+-√13/2X=3+√13/2 X=3-√13/2 the value of x=3- √13/2 is the correct answer of this question |
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| 26. |
(2x-3/x+1)(2x+3/x+1) |
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| 27. |
12x+5x= |
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| 28. |
4x+ 7x+ 12x |
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Answer» the addition of these three Expression is = x(4+7+12) = 23x x(4+7+12)=23x is the answer of ur que 23x x power 3ans= 23x |
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| 29. |
(i) 12x, 36 |
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Answer» Firstly We need to convert each of these terms in simple factors forms and then choose the common factorsi)12x, 36 12x =2×2×3×x 36=2×2×3×3Common Factor are 2,2,32×2×3=12 |
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| 30. |
MULTIPLE CHOICE QUESTIONis known as principal book of accounts because it is very useful for ienterprise.a) Journal (b) Ledger(c) Balance Sheet(d) Trial Balance |
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Answer» option (b) is correct Ledger isknownas a primarybook andprincipal bookbecause it is from ledger balances that trial balance and finalaccountsare prepared. |
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| 31. |
\frac{1}{2.5}+\frac{1}{5.8}+\frac{1}{8.11}+\ldots+\frac{1}{(3 n-1)(3 n+2)}=\frac{n}{6 n+4} |
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| 32. |
2. Two equal cicles touch each other externally at C and AB is a common tangent tothe circles,Then, "LACB =(a) 60°(b) 45°(c) 30°(d) 90° |
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Answer» God may help you! |
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| 33. |
(4)Solve the following equations.+12x-20 +8x+123r-2x+3 |
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| 34. |
Solve the following pair of linear equations by the substituti(i) s-t=30 x+y= 14S+x-y=4(iii) 3x - y = 39x - 3y=9(iv) 0.2x+0.3y = 1.30.4x +0.5y = 2.3(1) √2x+√3 y=0√x - √8y=0 |
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Answer» cross multiplication method x= 9, s= 39-4t, 6(3x- y) = 18 1. x = 9, y = 5 answer gudankhand vidhi se lagega first answer 7+ 7 =14 second 7 - 4 = 3 My answer is x = 0 , y = 0 question no:-1 y=5,x=9 1 (i) x+y=14 _(i) x-y=4 (ii) (i) +(ii) we get x =9Then putting the value of x in eqn (i) we get y=5 X=9,y= 5 is right answer 1 questions2ques And X= 9and y= 6ok question (1)===. x=9 y=5 1 x+y = 14x = -y+14slu.. 2 me man rakhane par x-y = 4-y+14-y =4-2y =4-14-2y =-102y =10 y = 5 slu..1 ya 2 me man rakhne perx+y =14x+5=14x =14-5x = 9 ANSWER X == 9 AND Y ==5 X=4+yx+y=144+y+y=142y=14-42y=10y=10/2=5X=4+y =4+5 =9 Ans- x=0 y=0 2nd, 6th me pehle LCM lena hai phir Elimination,Substitution,cross-multiplication kisi bhi method se kar sakte ho aap Tamar malni kai mhar bhi ni malm 1- y =5 and x=92- s= 9 and t= 63- y= 3x-3 and x can be anything4- x=2and y=35- x=0 and y=06- x=2 and y=3 x=9, y=5s=39-4t6(3x-y)=183x-y=3 ( i ) x=9 y=5 ( ii ) s=9 t=6 ( iii ) 9=9 I don't know you questions 1)x=9 y=52)x=1 y=03)4)5)6) by substitution method a 1 b 1 c 14a 1 b -1 c 4 x=9, s=39-4t, 6$3x-y)=18 x+y=14. x+y=14. ------ (i)x-y=4. ------- (ii) samikaran (i) sex=14-ysamikaran(ii)me x-y=4or, 14-y-y=4or, 14-2y=4or, 14-4=2yor, 10/2 =y y=5. ans.x-y=4x-5=4x=4+5x=9 1- x=9 and y=5 first add eq(1)& |
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| 35. |
0-9the digits is less than the original nuncSolve by the method of cross multiplication.3x - 2y = 0 and 2x + y-B=0. |
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Answer» 3x-2y=0 & 2x+y=8; 2(3x-2y=0); 3(2x+y=8); 6x-4y=2; 6x+3y=24; 7y=26; y =26/7; 3x-2y=0; 3x-2(26/7)=3x=52/7; x=52/7×2=104/7 |
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| 36. |
Solve the following equations.x +12x – 20_x² +8x+123x-5 2x+3 |
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Answer» x=8 is the correct answer x-8 is correct answer x=8 is the correct answer x=8 is the right answer x=8 is the right answer X=8 is correct answer x = 8 is the correct answer of the given question question x=8, is the best correct answer the answer is x3 + 6x2+80x x= 8 is your questions answer Value of x is 8 in this question correct answer is x=8 X=8 is correct answer X=8 is the correct answer X= 8 is the right answer x=8 is correct answer x=8 is correct answer of that question x=8 is better answer x= 8 is the correct answer given in the question x=8 is the correct answer of the given question x=8 is the correct answer x-8 is correct answer. x= 8 is correct answer x=8 is the right answer of this question x=8 is the best answer The value of x= 8 cm is the correct answer of this question. X =8 is the correct answer criss cross and multiply criss cross the following equations using the formulas and multiply it or with l.c.m x=8 is accurate answer of the above question x=8 is the correct answer for this question 👍👍👍👍👍 |
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| 37. |
If a, b and c are sides of a right-angled triangle wherec is the hypotenuse. Prove that radius r of the circlewhich touch the sides of the triangle is given byr=a +b-c/2 |
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Answer» Let the circle touches the sides BC, CA, AB of the right triangle ABC(right angled at C) at D, E and F respectively, where BC= a, CA=b , AB= c respectively Since lengths of tangents drawn from an external point are equal Therefore, AE=AF, and BD=BF Also CE=CD=r and b-r=AF , a- r= BF Therefore AB=AF+BF c= b-r + a-r AB=c=AF+BF=b-r+a-r hence, r=a+b-c/2 |
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| 38. |
(4) Solve the following equationsr +12x-20 x +8x+123x-5 |
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Answer» then what is the answer??? |
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| 39. |
Solve the following equations and check your result.1. 8x -9 02. 5x - 3 3x-5 |
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Answer» 1. 8x - 9 = 0=> 8x = 9=> x = 9/8. 2. 5x - 3 = 3x - 5=> 5x - 3x = -5 + 3=> 2x = -2=> x= - 1. |
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| 40. |
Solve the following equations and check your result.1. 8x-9 02. 5x-3 3x-5 |
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Answer» 1. 8x - 9 = 0 8x = 9 x = 9/8 Now checking put x = 9/8 8x - 9 = 8×9/8 - 9 = 9 - 9 = 0 2. 5x - 3 = 3x - 55x - 3x = -5 + 32x = -2x = -2/2x = -1 Now, checking put x = -1,5 × (-1) - 3 = 3 × (-1) - 5-5 - 3 = -3 - 5-8 = -8,So, LHS = RHS |
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| 41. |
Find the length of the side o fa square whose area ís 4489 sq.cm. |
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| 42. |
4Show that the circles given by the following equations intersect each other orthogonally(i)x2 + y2-2x-2y-7=0, 3x2 + 3y2-8x + 29y = 0. |
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| 43. |
Find the capacity in litres of a conical vessel with0 radius 7 cm, slant height 25 cm i) height 12 cm, slant height 13 c |
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| 44. |
\frac{x+3}{x-3}+6\left(\frac{x-3}{x+3}\right)=5, x \neq 3 |
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Answer» (n*n+6n+9)+6(n*n-6n+9)=5(n*n-9)7n*n-30n+63=5n*n-452n*n-30n+108=0n*n-15n+54=0(n-6)(n-9)=0so n=6 or 9 |
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| 45. |
\frac{x+3}{x-3}+6\left(\frac{x-3}{x+3}\right)=5, x \neq 3,-3 |
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Answer» (x*x+6x+9)+6(x*x-6x+9)=5(x*x-9)7x*x-30x+63=5x*x-452x*x-30x+108=0x*x-15x+54=0(x-9)(x-6)=0x=6 or 9 |
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| 46. |
Solve the quadratic equation.\frac{2 x}{x-3}-\frac{1}{2 x+3}+\frac{3 x+9}{(x-3)(2 x+3)}=0, x \neq 3, \frac{-3}{2} |
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Answer» 2x / x - 3) + (1 / 2x + 3) + {3x + 9 / (x - 3)(2x + 3)} = 0 -----> {2x(2x + 3) + 1(x - 3) / (x - 3)(2x + 3)} +{3x + 9 / (x - 3)(2x + 3)} = 0 -----> {(4x^2+ 6x + x - 3) / (x - 3)(2x + 3)} +{3x + 9 / (x - 3)(2x + 3)} = 0 -----> {4x^2+ 7x - 3 / (x - 3)(2x + 3)} +{3x + 9 / (x - 3)(2x + 3)} = 0 -----> (4x^2+ 7x - 3 + 3x + 9) / (x - 3)(2x + 3) = 0 -----> 4x^2+ 10x + 6 = 0 *(x - 3)(2x + 3) ----->4x^2+ 10x + 6 = 0 -----> 2x^2+ 5x + 3 = 0 -----> 2x^2+ 2x + 3x + 3 = 0 ----->2x(x + 1) + 3(x + 1) = 0 -----> (2x + 3)(x + 1) = 0 -----> x = - 3 / 2 or -1 -----> x =-1(ans |
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| 47. |
\frac{2 x}{-3}+\frac{1}{2 x+3}+\frac{3 x+4}{(x-3)(2 x+3)}= |
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| 48. |
\left. \begin{array} { l } { \text { he circles using } > , < 0 r = } \\ { 1528 } \end{array} \right. |
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| 49. |
If the circles(r-u (y-bid and(r-b)+(y-a)c touch each other, then |
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| 50. |
0) its areaFind the area of a square park whose perimeter is 320 m.i) ticlar nlot of land, if its area is 4 |
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