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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. |
In an examination, the maximum marks are 900. A student gets 33% of the maximummarks and fails by 45 marks. What is the passing mark ? Also, find the pass percentage.3. |
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Answer» 3. let Passing marks be phence p-45 = 900 x 33/100p = 315 marks pass % = 315/900 x 100=35% |
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| 2. |
Part 1 /MathematicsThe abscissa of a point, tangent at whichto the curve y=el sinx, re[0, r), hasmaximum slope, is :(1)(2)0+ blog |
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Answer» Option 3 is correct answer |
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| 3. |
he yy |
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Answer» image q nh aari yrr y yrr log m nh chahie See like problems these can be only approached using log function as they have property to take out power, as of other method that will be lengthy and based on hit and trial trick and bit simplification needws |
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| 4. |
(b) X (x-y2 -3y (xy + 2X) - Xy &+ |
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| 5. |
21If 8x + == 3x + 7 then the value of xy.(b) 70(c) 1(d) in t. |
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Answer» 8x+21/4=3x+732x+21=12x+2820x=7x=7/20 8x - 3x = 7 - 21/4; 5x = 7(4) - 21/4; 5x = 28 - 21/4; 5x = 7/4; x = 7/20 |
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| 6. |
के प्राप्म + क उउघ o &3P Yy =£ e |
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Answer» 1 Like if you find it useful 2 |
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| 7. |
Yly 2 g, £ 2) ,%_‘7 Yy |
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| 8. |
Y+ Yy 25 060; |
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| 9. |
Find the product.(1) (a”) x (22²2) x (4a?)(iv) x x x x x x** |
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Answer» X^2+3+4+1= x^10thanks 8a^50 is the right answer 8a^50 is the right answer 8a^50the answer is correct x¹+²+³+⁴=x ^10is the best answer 8a^50 is the correct answer 8a^50 is correct answer. |
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| 10. |
46means +, + means-,-means xandĂmeans +,then value of3+1-5x2is12- |
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Answer» 12 + 3 ÷ 1 - 5 × 2 after changes 12 ÷ 3 - 1 × 5 + 2 using BODMAS rule 4 - 5 + 2 = 6- 5 = 1 |
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| 11. |
1. IIf + meansw÷15+5-2=?ans'-',2‘-' means x','x, means and'means, 4, and w meanw1 |
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Answer» 15+5-2=15-5×2=15-10=5 |
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| 12. |
' 23. निम्न का मान होगाtan 48° tan 23° tan42° tan67°ATcB 30 |
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Answer» tan 48° tan 23° tan 42° tan 67° = tan (90° - 42°) tan (90° - 67°) = tan 42° tan 67° = cot 42° cot 67° tan 42° tan 67° = (cot 42° tan 42°) (cot 67° tan 67°) = 1×1 = 1 Like my answer if you find it useful! |
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| 13. |
(LJUIf A means 'x', B means '=', C means '-' andD means '+', then4D 16 A 5 B 8C 5= ? |
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Answer» the correct answer is 9 4D16A5B8C5 = 4 + 16 * 5 ÷ 8 - 5 = 4 + 16*5/8 - 5 = 4 + 2*5 - 5 = 4 + 10 - 5 = 14 - 5 = 9 no all answer is not correct |
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| 14. |
6+230+15. Ifa and b are both rational numbers and4.3¡b/3,values of a and b |
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| 15. |
Find the length of the chord intercepted by the circle x*+y'-8x 2y -8 0 on the linex+y+1-0Mar 16 |
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| 16. |
ATHS-IIBFind the length of the chord intercepted by the circle y-8x-2y-8 0the line x+y+1 = 0(Mar-16 T.s) |
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| 17. |
If 'x' means -, -' 'means' '*','+' means 'x' and '' means '+,then what will be the value ofthe following expression?16x8+4-3 +9 |
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Answer» 16 - 8 + 4 ÷ 3 × 9 = 16 - 8 + 12 = 20 20 16×8÷4-3+9= 16×2-3+9 =8-3+9=8+6=14 please sir give me like |
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| 18. |
Verify : (i)r' +p! = (x +y) (x2-xy +yy |
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| 19. |
figures if Ill m.10080°gles are parallel |
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Answer» x = 100° since l || m by pair of corresponding angles.. |
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| 20. |
0. The locus of P such that area of APA-12units, where A(2,3) and B(-4,5) is(A) (x+3y-1(x+3y-23) 0(x +3y+(x+3y- 23)(C) (3x +y-13x+y-23) 0(D) (3x + y+13x + y+23) 0END OF TEST PAPER |
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Answer» Let P be a point (x,y) on the locus. Formula for area of a triangle with vertices at (x1,y1), (x2,y2) and (x3,y3) is given by 1/2{x1(y2-y3) +x2(y3-y1)+x3(y1-y2)}. Taking A as (x1,y1), B as (x2,y2) and P as (x3,y3) we get area of triangle PAB is 1/2{2(5-y)-4(y-3)+x(3–5)}=12 given Simplifying, 10–2y-4y+12–2x=24 or -2x-6y-2=0 or x+3y+1=0. |
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| 21. |
230 30-12 |
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| 22. |
11x + 15y + 23 = 07x-2y-20 = 0, |
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| 23. |
Find the point of intersection of lines 7y +x- 23=05x+ 2y 16=0. |
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| 24. |
\left. \begin{array} { c } { 024.11 x + 15 y + 23 = 0 } \\ { 7 x - 2 y - 20 = 0 } \end{array} \right. |
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Answer» 22x+30y+46+105x-30y-300=0127x=254so x=222+15y+23=015y=-45so y=-3 |
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| 25. |
In an equilateral triangle of side 18 em, a circle is inscribed touching itssides. Find the area of the remaining portion of the triangle. |
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| 26. |
85.If x2 + xy +xz = 135, ŃĐł + yz + xy = 351 and Z2 + ZX + Zy = 243. Then the value of x is. (x, y, z > 0) |
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Answer» Given :x^2+xy + xz = 135 --- ( 1 ) , y^2+yz + yx = 351 --- ( 2 ) And z^2+zx + zy = 243 --- ( 3 ) Now we add equation 1 , 2 and 3 and get x^2+y^2 +z^2 + 2xy+ 2yz + 2zx = 729 (x+y+z)^2 = 729 ( We know : (x+y+z)^2 =x^2+y^2 +z^2 + 2xy+ 2yz + 2zx) (x+y+z)^2 = 27^2 x+y+z = 27 --- ( 4 ) Now we take equation 1 :x^2+xy + xz = 135 x(x+y+z) = 135 , Substitute value from equation 4 and get 27x = 135 x= 5 And we take equation 2 :y^2+yz + yx = 351 y(x+y+z) = 351 , Substitute value from equation 4 and get 27y = 351 y= 13 And we take equation 3 :z^2+zx + zy = 243 z(x+y+z) = 243 , Substitute value from equation 4 and get 27z = 243 z= 9 Therefore, Value ofx^2+y^2+z^2 = 5^2 + 13^2+ 9^2= 25 + 169 + 81 =275 thanks |
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| 27. |
4. Add the given polynomials.(i) xy -yz, yz- zx, zx-xy |
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Answer» thanks |
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| 28. |
Add the following:(i) xy - yz, yz -zx and zx - xy |
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Answer» xy - yz + yz - zx + zx - xy = 0 |
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| 29. |
The product of xy, yz and zx is ___(a) 2xyz (b) x2y2z2(c) x3y3z3(d) xy+yz+zX |
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Answer» xy × yz × zx(xx) (yy) (zz)x² y² z²b) option is correct |
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| 30. |
In a triangle XYZ, if the internal bisector of ZX meets YZ in P, thenXY YPXY XZTaYY2 |
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Answer» then answer isYP /Z P= XY/XZ |
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| 31. |
(i) xy, yz, zx |
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Answer» xy*yz*zx = x*x*y*y*z*z |
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| 32. |
11;i 111108MATHEMATICSEXERCISE 5.2Find the modulus and the arguments of each of the complex nExercises 1 to 2Convert each of the complex numbers given in Exercises 3 to 8 in the p3. 1-i4.1+i8. i |
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| 33. |
6.Find the average of all even numbers between 7 and 17. |
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Answer» the right answer is 12 8,10,12,14,16avarege=8+10+12+14+16/5=60/5=12 is correct answer. 8 + 10+12+14+16÷5=60÷5= 12first add the given no. the divide it by the number of given no. for eg. 5 ,6,7,8 5+6+7+8÷46.5if it helped... |
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| 34. |
Describe the ill-effects of alcohol. |
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Answer» alcohol can cause: ●Slurred speech●Drowsiness●Vomiting●Diarrhea●Upset●Breathing difficulties●Distorted vision and hearing●Impaired judgment●Decreased perception and coordination●Unconsciousness●Anemia (loss of red blood cells)●Coma●Blackouts (memory lapses, where the drinker cannot remember events that occurred while under the influence) please like the answer if it helps you |
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| 35. |
Find the wavelength at which human body radiates maximum energy. (temperature ofhuman body Is 370 C and Wien's constant is 2.898102*10^-3 mk |
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| 36. |
(B) PA) P(B) P(A nB)(D) PIA) P(B)+ PLA n B)24.(B) 5(D) 4x(C) 4The value of x when(A) Sx 151-0 is(B) 15(D) 4x(C) 4cosec2x dx = ?(A) tan x + c-cot x+c(C)2cosec x+c(D) 2cosec x + cA) Zsinx cos x(C) cos 2 x(B)(D)2 sin xsinx cosx(A) 3(C)(B) 5y41レー一The distance of the point (3, 4, 5) from x-axis is(A) 3C) 41(B)(D)ร of theseIn the set of all straight lines in a plane, the relation R "to be Perpendicular" is-(A) Reflexive and transitive(C) Symmetric(B)(D)Symmetric and transitive of these |
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Answer» 23) option c24)4x -60=0 x= 1525) option b26)2sinxcosx27) d=√(9+16+25)=√41 |
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| 37. |
3. Find average of 1 15 even numbers.(a) 16(b) 18(c) 22(d) 244. Find the average 1 17 odd numbers.(c) 19(d) 21(a) 15)(b) 17 |
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Answer» average of first 15 even numbers2+4+...+30/15now the sum is forming an apa=2d=2n=15henceSn=n/2(2a+(n-1)d)S15=15/2(4+14*2)S15=15/2(4+28)S15=15*16hence average =15*16/15=16 |
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| 38. |
Directions for questions 1 to 8: Fill in the blanks.1. The sign of the product of two negative integers is |
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Answer» positive is the correct answer of the given question positive is the right answer to your question positive................................ answer is + of this question |
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| 39. |
16If5x?– 3y = 14 xy find x:yN |
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Answer» x = 3/2 yy = 2/3xx:y = 4 : 9 X:Y =0 correct answer |
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| 40. |
25. x + yNXYX-Y9=hix0101 |
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Answer» x=-1/2 and y=1/4 is the right answer |
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| 41. |
(III)-9:_x-2y-(iv)2x + 5y-3x+-=23x-2y3. निम्न समीकरणों कोकरणों को किसी भी विधि से हल कीजिए-(iix(i x -y = -1;___3x - 2y = 12.(iii) x + y = 6;x = y + 2.-2y2x-5x-3x(iv) |
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Answer» 1)x=14,y=15 is the right answer X=14 and y=15 is the correct answer X=14 ,Y=15 this is correct answer x=14 , y=15 is the right answer x=14 y=15 is the best answer me X=14, y= 15 is the best answer 1) x= 14, y= 15 is correct answer. 1+x=14.y=15 ha answer rights x=14 y=15 is the best answer me |
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| 42. |
20+2y)3034-2y)2ACC +24)5(3x-2y)60 |
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Answer» x+2y=m; 3x-2y=d;1/2m+5d=-3/2, 5/4m-3/5d=61/60, 3m+13d=-9; 25m-12d=61/3; multiplying first equation -by 25 and second by 3,260d-(-36m)=-225-61; 286=-286; d/-1; m=-9-10(-1)/3=1/3, now x+2y=1/3 and 3x-2y=-1; adding 2 equations 4x=-2/3; =-1/6 |
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| 43. |
(2y+6) (2y-3) |
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Answer» PLEASE LIKE THE SOLUTION |
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| 44. |
ofpaintingcylindrical pillar is 50 em in diameter and 3.5 m in height. Find the costthe curved surface of the pillar at the rate of 12.50 per m2loscope for herlius of the hase of the |
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| 45. |
. A rectangular sheet of acrylic is 3 Ldiameter 3.5 em, have been cut out. Find the area ol LA rectangular ground is 90 m long and 32 m broad. In the middle ofthe ground there is a circular tank of radius 14 metrcost of turfing the remaining portion at the ratees. Find theof 50 persquare metre. |
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| 46. |
a hemispherical bowl made of brass has inner diameter 10.5 em. Find the cost of 16 per 100 cm cube |
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| 47. |
a2 X+y X '. 4Solve:- â==2, XY _Xy Xy |
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Answer» x+y= 2xyx-y= xynowx+y= 2(x-y)x+y= 2x-2yx-2x= -3yx= 3ynow4y= 2xy4= 2xx= 2now2+y= 4y2= 3yy= 2/3 |
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| 48. |
Ell in the blanks:-1) The product of two positive numbers isalways a ... . . . . . ... number3) the product of two negative number isalways a ............ number.2) The product of positive and a negativenumber is always a .............. number.D) The additive inverse of any rationalnumber x is .......... |
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Answer» a ) ans- positiveb)ans- positive c)ans- negative d)ans= -x a) positive b)positive c)negative d)1/x positivepositivenegative1/x positive, positive, negative, -x the correct answer of the 5 |
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| 49. |
2 aisa positive and bisa negative rationalways result in a positive number? Give reve rational number. Which operation (+,-,X, ) between them willin a positive number? Give reason for your answer. |
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Answer» Subtracting will always result in positive rational numberSince, a-(-b)=a+band it will be a positive rational number As we know thata-(-b)= a+bhence this is a positive rational number so subtraction will always result in positive rational number |
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| 50. |
If tan-1x +tan-ly-4 xy <1, than write the value ofx +y xyn-1 l/ =, Xy < 1, than write the value of x + y + xy |
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