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. |
tkiee termswake |
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| 2. |
1- Project- Write formula chap- 1, chap- 2 chap- 14 chap-6(Rational Number ,Exponents, Polygone, ALegebra) |
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Answer» In mathematics, arational numberis anynumberthat can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. ... A realnumberthat is notrationalis called irrational. Irrationalnumbersinclude √2, π, e, and φ. Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics remember the whole no. which starts from 0natural no. which starts from 1integers -1,2, and so onrational no. the no which in form of p/qproperties1 closure property2 commutative property3 associative property4 additive invers5 multiplicative identity6 additive invers7 multiplicative inverse8 distribution property |
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In a tri(ABC), A=\frac{\pi^{c}}{5} \text { and } B=2 C. Find the remaining angles. |
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angles is 3: 5; then find the ratioThe ratio of corresponding sides of similar triof their areas. |
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Answer» Given:Ratio of sides: 3:5Area of triangle 1/ Area of triangle 2= 3^2/5^2=9/25 |
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A boy have 12 appleshe dus tri butedit in6 friends, How manappla did his eael0 °I e |
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Answer» no. of apple 12no. of friends 6each friend got = 12/6 = 2 |
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3 xsimplification of 45xy4V5xy |
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1. In a cricket match, a batswoman hits a boundary 6 times out of 30 balls she plays. Findthe probability that she did not hit a boundary.2. 1500 families with 2 ohild |
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18.Prove that the area of the equilateral triis half the area of the equilateral triangle described on its diagonal. |
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of both the angles.0. In the given figure if c = 31, and a = 51, find the values of a and b.帆 |
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Answer» answers a=100°b=20°and c=60 ata hai bhai wahi to aya hai |
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| 10. |
5. What were the causes of the decline of the Indus valley ci |
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Answer» I don't know 😄🤣🤣😂😋 Following were the causes of the decline of Indus Valley Civilization :- 1.Many Scholars believe that the collapse of the Indus valley civilization was caused by climatic change. 2.Some experts believe the drying of Saraswati river which begin around 1900 BCE was the main cause for climatic change which led to the decline of Indus Valley. 3.Other experts conclude that a great flood struck the area due to which the Indus valley civilization collapsed. Thank you. |
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| 11. |
the simplification of (169/100)power -3/2 |
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Answer» (10/13)^ 2 is the correct answer of the given question |
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| 12. |
If a. 28645then6- Tri |
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& IFA B and Care interior angles of a triangle ABC, then show thatsin(-)-cos A |
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Answer» tq |
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Show that: If A,B and Care the interior angles of a triangle ABC, then showthat sin-) =cos (?)2 |
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Answer» thank you |
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| 15. |
lcm of 16 31 51 |
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Answer» Prime factorization of the numbers: 16 = 2 × 2 × 2 × 2 51 = 3 × 17 31 = 31 LCM(16, 51, 31)= 2 × 2 × 2 × 2 × 3 × 17 × 31= 25296 25296 is correct ans 25296 is the correct ans 25296 is the correct lcm 16 = 2x2x2x2x1 31 = 31x1 51 = 51x1 LCM = 1 = 25296 is correct answer |
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| 16. |
51. . निम्न का मान ज्ञात कीजिए।4 1 2+ न तप(16. 056. (2435 e |
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51. 12, 16, 32, 68, 132, ? |
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Answer» 16-12=4=2*2,32-16=16=4*4,68-32=36=6*6,132-68=64=8*8,So, the next term is 132+(10*10) = 232.Please like the solution 👍 ✔️ Next number 232 |
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51*x - 16*y=3 |
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| 19. |
y248+,51 +./169 =?a) 16c) 18b) 14d) 12 |
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| 20. |
( \frac { - 17 } { 8 } a ^ { 2 } y ^ { 3 } ) \times ( \frac { - 16 } { 51 } a ^ { 2 } y ) |
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Answer» (-17/8)(-16/51)(a*a*a*a)(y*y*y*y)=(2/3)(a*a*a*a)(y*y*y*y) |
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f the number of square centimeters in the surface area of a sphere is equal to the numberof cubic centimeters in its volume. Find the diameter of the40% sprun |
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Answer» The diameter is then d=2r.4πr^3/3 = 4πr^2 r^3- 3r^2= 0 r^2(r-3) = 0 Since r>0, we conclude that r=3 cm. Thus the diameter is 6 cm. Like if you find it useful |
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| 22. |
Find HCP of the greatest number with distes25 and 1029 lerving seminar Sin auch Care |
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Answer» 49 is the greatest number which divides 245 and 1029 leaving remainder 5m each case |
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| 23. |
25. For the nuclear fusion reactionH+3 H Heto n temperature to which gasesmust be heated is 3.7 Ă 109 K. Potential energybetween two nuclei is closest to (Boltzmann'sconstant k 1.38 x10-23 J/K) |
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Answer» Energy equivalent of temperature T is given by kT where k is the Boltzmann constant = 1.3806488 × 10^-23J/K.The energy equivalent of 3 x 10^9K is 1.3806488 × 10^-23J/K x 3 x 10^9K = 4.1419464 x 10-14J.This much energy is required to overcome the potential barrier. So the P.E. (the Coulomb barrier) |
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| 24. |
+42+13dz is equal toA) log (a2 +4x +13) +CC) log (2x +4) +CJ/름tan-1(부)2+4(+4z+13)D) |
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Answer» x^2+ 4x + 13 = x² + 4x + 4 + 9 = (x + 2)² + 9 Now ∫ dx/[(x + 2)² + 9] Now that should sort of look familiar, it looks like the derivative of arctan(x) which is 1/(x² + 1) Therefore, Let 3u = x + 2 Then we have that: 3du = dx Now your integral becomes: ∫ 3du/[(3u)² + 9]= ∫ 3du/(9u² + 9)= ∫ du/[3(u² + 1)]= (1/3) ∫ du/(u² + 1)= 1/3 arctan(u) But u = (x + 2)/3 Therefore, your answer is: ∫ dx/(x² + 4x + 13) = (1/3)arctan[(x + 2)/3] |
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61, 9, 6, 6, 9, 6, 7, 9, 9, 10, 8, 10 का मोड(mode) है : |
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Answer» 9 is the correct answer of the given question 9 is correct answer of questions 9 is the correct answer The mode is simply the number which appearsmost often.In this case the mode is9. 9 is the answer of given question 9is your right answer 9 is the right answer |
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| 26. |
2. The difference of an integer p and -8 is 3. Find the value of p. |
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Answer» Your correct answer is-5 |
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| 27. |
Is zero a rational number? Can you write it in the form 2, where p and q are integerand q#0? |
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Answer» yes zero is a rational number. thnx |
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| 28. |
Section 'C' !r nuumbers 13 to 22 carry 3 marks eachestrie a PM arc altitudes of AARnumbers 13 to 2213. IfADaC and APOR respectively where AABC-APOR, then proveADP.M |
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Answer» We are given that △ABC≅△PQR AD andPMare median of△ABCand△PQRrespectively. As △ABC≅△PQR So by CPCT AB=PQ BC=QR ⟹12BC=12QR ⟹BD=QMas D &M are mid -points ofBCandQR. ∠ABC=∠PQR ⟹∠ABD=∠PQM Now you can apply theSAS congruence criterion to get △ABD≅△PQM ⟹AD=PM Now as AD=PM ⟹AD/AB=PM/AB ⟹AD/AB=PM/PQ⟹ASAB=PQ ⟹AD/PM=AB/PQ ⟹AB/PQ=AD/PM Hence Proved. |
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| 29. |
\frac { 5 } { 4 } + \frac { 7 } { - 9 } = \frac { 7 } { - 9 } + |
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| 30. |
A rational number not equivalent tois91418-2127O Option 1O Option 2-2836 |
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Answer» option D is correct.i.e all three option is equal to -7|9 option4 is right answer the correct answer is option di all option are equivalent of -7/9 D -28/36.. it is not equivalent to -7/9 |
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20. For a project, Johnny is making a cylinderflower pot for his friend Suzie. The pot has abottom, but no top. If Johnny's pot has aheight of 22cm and a diameter of 18cm, howmany square centimeters of material does heneed to make the pot? |
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Answer» Given,Height h = 22 cm, Radius r = 18/2 = 9 cm Then,Surface area of cylinder= 2*pi*r*h + pi*r*r= 2*22/7*9*22 + 22/7*9*9= 22/7*9(44 + 9)= 22/7*9*53= 1499.14 cm^2 Therefore 1499.14 cm^2 material he needed to make pot |
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( )+ ( ) + ( ) = 30 option is (1,3,5,7,9.11,13,15) |
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Answer» it is not possible. If like my answer then pls hit a like. |
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| 33. |
If n[p (A)]-64, then n(A) is |
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| 34. |
Medi-Caps International School, Indore Date : 21-09-2019Half-Yearly Examination (2019-20)Day 1 SaturdaySubject: Mathematics Set-A)MM:80Time: MrGeneral Instructions:1. Read the questions carefully2. All the questions are compulsory(c) 875OL The largestSECTION - A(1 x 2020)number which divides 70 and 125. leaving remainders and respectively,(b) 65(d) 1750he decimal expansion of the rational number 16587 will terminateater(a) and1250decimal place (b) two decimal places (c) three decimal places id) four decimal praceamor-(ə) xA quadratic polynomial whose one crois 6 and sum of the zeroes6x2(b) X -36.(c) x(c) x-6-5of 3136(d) x-304. The Zeroes of the polynomial f(x) = 4x'- 12x + 9 are:(a) 3 (0) 32 (c) 3,4(0) -3, 405. The number of croes that polynomis x) = x 214 can have is:(b) 2(c o(d) 326. If a pair of equation is inconsistent, then the lines will be(3) Parallel b) always coincidenticalways intersecting (d) intersecting or coincidentx (429)Azhas no solution is27. The value of k for which the system of equation x + 2y3 and 5x + ky+ 7(a) 10 (b) 6 (c) 3 (d)2308. The roots of the equation 9x-bx+81 = 0 will be equal, if the value of bis :K -3(a) +9(b) + 18(c) + 27(d) : 54-6=7K09. The roots of the equation x - 8x + 120 are ......(a) Real, and irrational (b) Real, and rational (s) Real and equal (d) Unreal-Q10. The 23 term of the AP 3, 0, -3, is...(a) 63(b) 60 (c)-63 (d) none of these+(23-1 0 2coQ11 In an A.P if d =-3, a - 15 and a, - o find n.315 + M-033 + 223 62Q12. The number of terms in the A.P.2,5,8,.........59 is: 153 3 ) 3+(a) 12 () 19 (c)20 (d) 25 = 15-3 +3 -16 mare 3Q13. In the given figure , AACBAAPQ, IF BA - 6cm and BC = 8 cm and PQ-4 cm then find the 3length of AQ.a +(m-138 A8 22 2013 w-3AB=863 3 !(a) 6 cm(b) 4cm(c) 3 cm(d) 24 cmQ14. If in two similar triangles PQR and LMN, QR - 15 cm and MN = 10 cm, then the ratio of the areas oftriangles is:(a) 3:2(b) 9:4(c)5:4(d) 7:4Q15. In AABC, AB = 6v3 cm, AC = 12 cm and BC = 6 cm. Then 28 = ?(a) 120 (b) 60 (c) 90 (d) 45196A |
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Answer» 3) x^2-36=0(x+6)(x-6)=0x+6=0, x= -6x-6=0, x=6it's one zeros 6sum of zeros= 6+(-6)=0 |
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find the height of a Cylinder whereRadius is 7cm and the total surfacearea is 986 cm? |
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64) and a willwhich inreges ashed tointeger 5 p2 gave the |
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Answer» what is your question 5 is the correct answer |
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| 37. |
1522323 |
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| 38. |
lChoose the correct option - |
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Answer» समित होगाक्योंकि सब अवयव समान होगे |
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| 39. |
nâ-6n-â12=4 |
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Answer» n² - 6n - 12 = 4 n² - 6n - 16 = 0 n² + 2n - 8n - 16 = 0 n(n + 2) -8( n + 2) = 0 (n - 8) ( n + 2) = 0 So, n = 8 and -2 |
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a) 360°c) 180°d) 270°pairs of opposite angles of a cyclic quadrilateral isb) 90° |
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Answer» The sum of pair of opposite angles of a cyclic Quadrilateral is 180° |
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| 41. |
2^2+15^2-33^2=97 |
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| 42. |
bउ 2 2 डा+ bw%w" -o‘s |
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Answer» am*m + bm*m + bn*n + an*n = m*m(a+b) + n*n(a+b) = (a+b)(m*m+n*n) If you find this answer helpful then like it. |
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| 43. |
[4-0 -““उVg = |
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Answer» In triangleABC DE ll BC AD/DB=AE/EC...(By Basic proportionality theorem)x+2/3x+16=x/3x+5(x+2)(3x+5)=(3x+16)(x)3x^2+5x+6x+10=3x^2+16x9x^2+11x+10=9x^2+16x9x^2-9x^2+11x-16x=-10-5x=-10x= -10/-5x=2 like if you find useful. |
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| 44. |
(26. a+863 = (10)3 – 6x15x(10) saws (a+2b), ab e1. 152 . 103. 254.5 |
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Answer» Consider, a^3+ 8b^3= a^3+ (2b)^3 = (a + 2b)3− 3 × a × 2b(a + 2b) [Since, a^3+ b^3= (a + b)− 3ab(a + b)] = (a + 2b)^3− 6ab(a + 2b) = (10)^3− 6 × 15 × 10 = 1000 − 900 = 100hence comparing (a+2b)=10and ab =15 |
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(0) 986 x 137+986 x 863(i) 983 x 207-983 x 107 |
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| 46. |
Which term of the A.P., 64, 60, 56, 52, ..... is zero?A) 16h B) 17 C) 14" D) 15" |
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Answer» 17th term is the best answer let n th term be 0a= 64, d= 60-64= -4a+(n-1)d=064+(n-1)(-4)=064-4n+4=0-4n= -68n= 68/4= 17 th term Wii 0 the correct option is (b)17th 17 th term a+(n-1) d 64+ (n-1)-4=0 17th term of an AP is zero 17th term is right answer |
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| 47. |
\left(\frac{1}{5}+1 \frac{2}{5}\right)-\left(4+1 \frac{5}{2}\right) |
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Answer» (1/5-4)+i(2/5-5/2)=-19/5-21i/10 |
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| 48. |
( \frac { \frac { 1 } { 2 } + \frac { 1 } { 5 } } { 1 - ( \frac { 1 } { 2 } ) ( \frac { 1 } { 5 } ) } ) |
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Answer» (1/2+1/5)/1-(1/2)(1/5) = (7/10)/(9/10) = 7/9. |
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| 49. |
3 \frac { 1 } { 5 } \div 2 \frac { 1 } { 5 } |
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| 50. |
\frac{12^{\frac{1}{5}}}{22^{\frac{1}{5}}} |
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