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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. |
A wire in the shape of a rectangle of length 18cm and with 15cm of a circle find the radius and area of a circle |
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Answer» The wire is in the shape of rectanglelength = 18 cmbreadth = 15 cm now the wire is bent into a circle so perimeter of rectangle = circumference of the circle 2(l+b) = 2πr2(18 +15) = 2πr2×33 =2πr66 =2πr 66× 7/ 2×22 = r33× 7/22 =r21/2 = r10.5 = r so the radius of the circle is 10.5 cm hi 10.5 CM 34 6.15 cm |
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| 2. |
Find the differential equation representing the family of curvesy= a e^(bx+5), where a and b are arbitrary constants. |
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| 3. |
5*y^2 - 3*1/(2*x^2)*y^2 %2B 4*x^2=12/19 |
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| 4. |
tan 0 — cot &o the resultsin 0cos 0 Ssec” 0 = tan? 0-cot? 07. Py की 2 मरLT 3 |
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Answer» Like my answer if you find it useful! |
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| 5. |
\frac { 5 m } { 6 } + \frac { 3 m } { 4 } = \frac { 19 } { 12 } |
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| 6. |
x + y - z = 0,2 x + y + 3 z = 9 , x - y + z = 2 |
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| 7. |
) Rohan gets 38 out of 50 in his monthly test of Mathematics. Express hismarks in percentage |
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Answer» Rohan gets 38 marksnow for percentage38/50*100he got 76 percentage |
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| 8. |
15. State which of the following are finite sets0) fx xe N and (x -3) (x-4) 0)(ü) (x xe N and x is a prime number)(iii) {x : x N and x2 < 0)(v) fx xE N and 3x2 27 0) |
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Answer» finite sets are those , which have limited no. of element in it. so , i) has only 2 element = 3,4 and iv ) also has only 2 element = 3,-3 . option i and iv are correct |
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| 9. |
( a ) ( - 8 ) \times 0 \times 37 \times ( - 37 ) |
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| 10. |
z %2B z=9*varepsilon |
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Answer» z= 4 is the correct answer of the given question 6=z+26-2=z z=4is the correct answer z is equal to 4 because when 2 will go on other side it will got negative and 6-2=4 6 = Z + 2Z = 6 - 2Z = 44 is the answer of the following question 4 is the right answer. z = 6-2z = 4is correct answer |
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| 11. |
The exponent form of V7 is...(A) 73 (B)37 (C) 73(D) 37 |
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Answer» (C) 7^⅓ ∛7 = 7^⅓ 7^1/3 is the correct option (c) part is the correct option this answer is no (C) exponent form= (7)^1/3 the answer was 7^¹÷3 as we known that, √x=x½then, ³√7=7^⅓ therefore the correct ans is option (C) c is the correct answer of your questions 7^ hmm I didn't knew it tried duh correct an answer is (c)7 1/3 iska answer √7^1/3 hoga |
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| 12. |
Show that the system of equations2x+5y = 17,5x + 3y = 14 |
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Answer» 2x+5y=17, 5x+3y=14; 5(2x+5y=17)=10x+25y=85; 2(5x+3y=14)=10x+6y=28; /y=57/19=3; 2x+5(3)=17; 2x=17-15=2; x=1; x=1; y=3 2x+5y=17 ; 5x+3y=14=2x +5y=17 ......1 × 3 5x+3y=14 .......2 × 5=6x+15y=51...3 25x+15y=70....4=19x = 19= x=19÷19= x=1 x=1 in equ.. 12x+5y=172(1)+5y=172+5y=17 5y=17-2 5y=15 y =15÷5 y =3x=1, y=3 X= 1 ,y=3 is the correct answer of the given question x=1, y=3 is correct answer y= 3 and ×= 1 answer is correct answer |
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| 13. |
+ 2SD s36.537-5 e 37 |
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Answer» =(15/100) × 250=37.5 |
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| 14. |
The exponent form of V7 is...(A) 73 (B)37 (C) 7(D) 37 |
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Answer» 7^1/3 is the correct option for your question this correct answer is no (C) correct answer is (c)71/3 |
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| 15. |
Practice Set 131. Write the reciprocals of the following numbers.(1) 7 (1) 3 (ii) is (iv) 22. Carry out the following divisions.(1) a (11) 3 3 (ii) + (iv)3. There were 420 students participating in the Swachh Bharat cam4275 part of the town, Sevagram. What part of Sevagram did eachwork was equally shared by all ?Ramanujan's Magic Square121887Add the four numitthe columns and al |
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Answer» reciprocal of 7= 1/7reciprocal of 11/3= 1/11/3= 1÷11/3=1×3/11 reciprocal of 7=1/7reciprocal of 11/3=1/11/3=1÷11/3=1×3/11 Q1.1) 7=1/72)11/3= 3/113) 5/13= 13/5 Q2.1) 2/3÷1/4= 2/3×4/1= 2×4/3×1 =8/3 2) 5/9÷3/2 =5/9×2/3 =5×2/9×3 =10/27 3)3/7÷5/11 =3/7×11/5 =3×11/7×5 =33/35 Q1.1) 7=1/72) 11/3=3/113) 5/13=13/5 is the correct answer Q1.1) 7=1/72) 11/3=33/113) 5/13=13/5is the correct answer |
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| 16. |
In a circular table cover ofradius 32 cm, adesign is formed leaving an equilateraltriangle ABC in the middle as shown inFig. 5.24. Find the area of the design.6. |
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| 17. |
10. In a circular table cover of radius 32 cm, a design is formedleaving an equilateral triangle ABC in the middle as shown infig. 12.105. Find the area of the design (shaded region). |
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| 18. |
yThedomainoffunction f(x)fis |
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Answer» Since there is a root so the inside root function should not be less than 0.. and the denominator should not be 0. so, |x| -2 ≠ 0 or x ≠ +2,-2 now lets take cases case)1 when |x| opens with +ve √(1-x)/(x-2) ≥ 0=> 1-x ≥ 0so x≤ 1 case)2 when |x| opens with -ve √(1+x)/-(x+2) ≥0 so, -(1+x) ≤0 or -1-x ≤0 so x≥ -1 then domain is x belongs to [-1,1] |
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| 19. |
10.The design of a microchip has the scale 40:1. The length of the design is 18cm findactual length of the micro chip? |
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Answer» The design of the microchip has the scale 40:1 I cm on the actual is represents 40 cm on the designThe scale is 40 cm : 1 cm Find the actual length for 18 cm on design : 40 cm → 1 cm 1 cm → 1/40 cm 18 cm → 1/40 x 18 = 9/20 = 0.45 cm |
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| 20. |
< Class-VI3.ä¸_ then x = |
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Answer» x/2 = 3/4 x = 6/4 x = 3/2 |
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| 21. |
RELATIONS AND FUNCTIONS194. Consider:R(-5,) given by (x)9x + 6x-5. Show that fis invertiblewith ; *6 = (Wy+6)). |
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| 22. |
1\R>ind thevalue ofIf tan'tarot.2 ,find the value oftan2 θ + tan28=tanetan-θ . |
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Answer» Like my answer if you find it useful! |
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| 23. |
find the spuare of (xy+3z) |
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| 24. |
of shadow is moving when he is walking away tro(19) Find the equation of a curve passing through the poingt (0, 2), given that the sum of thecoordinates of any point on the curve excecds the slope of the tangent to the curve at that point by 5(July 2016(July 201 |
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| 25. |
4.If z=-9, find the value of2/3z+6 |
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Answer» if z is -9 then 2/3*(-9)÷6 will be -1 in book but it written 0 |
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| 26. |
Find the values of x and y using theinformation shown in figure 3.37.Find the measure of LABD and mZACDFig. |
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| 27. |
WEEK-21DAY : 21. Arrange the rational numbersREVISION4 -519 1223and- in ascending order. |
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Answer» ascending order -2/3 , -5/12 , 4/19 |
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| 28. |
CLASS REVISION PROGRAMMEA pen stand is made of wood in the shape opf cuboid with three conical depressions to hold the pensThe dimensions of the cuboid are 15cm by 10cm by 3.5. The radius of each of the depression is 0.5 cmand the depth is 1.4 cm. Find the volume of wood in the entire stand.(Conn) |
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Answer» Thanks |
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| 29. |
Revision Exerotheir solution.Solution(a) 12(b) 15(c)26(d) 5(e) 7solution out(b) 5(8x + 3) = 9(4x + 7)(b) 10.5e equation "7 times a nu(b) 0.25t a is |
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| 30. |
v)thécorrectanswer:The reproductive part of a plant is the(i) leaf(ii) stem(iii) root(iv) flowerThe process of fusion of the male and the female ga(i) fertilisationlii) pollination(iii) reproduction (iv) seed formation |
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Answer» flower is the reproductive part of a plant |
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| 31. |
3.The following observations have been arranged in ascending order. If the median ofthe data is 63, find the value of x.29,32,48,50,х,,m2,72,78,84,95/ |
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| 32. |
5 The area of a rectangle is (x + 12x + 35) sq, units. What are its dimensions? |
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| 33. |
535 Su thtollastng equation trang/04í |
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Answer» 5(x+4)=35(x+4)=35/5(x+4)=7x+4=7x=7-4x=3 Ans. 5(x+4)=355x+20=355x=15x=3 |
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| 34. |
15.The volume of a room is 378 m' and the area of its floor is 84 m2. Find the heighto |
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| 35. |
4. A, B, and C have Rs 1285 between them: A's share is greatethen five-sixths of B's by Ks 25, and C's is four-fiftuenths of B's: findthe share of each. |
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Answer» Let share of B is xThen,Share of A = 5x/6 + 25Share of C = 4x/15 As per given condition5x/6 + 25 + 4x/15 + x = 12855x/6 + 4x/15 + x = 1285 - 25(25x + 8x + 30x)/30 = 126063x = 1260*30x = 1260*30/63x = 20*30x = 600 Therefore, Share of A = 5x/6 + 25= 5*600/6 + 25 = 525Share of B = x = 600Share of C = 4x/15 = 4*600/15= 160 |
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| 36. |
define binary system |
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Answer» In mathematics and digital electronics, abinarynumber is a number expressed in the base-2 numeralsystemorbinarynumeralsystem, which uses only two symbols: typically 0 (zero) and 1 (one). |
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| 37. |
The binary equivalent of the decimal number 5 is(a) 0000(b) 0011(c) 0101(d) 1001 |
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Answer» option C 0101 is the answer |
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| 38. |
5. Let S = (a, b, c. Find the total number of binary operations on S. |
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Answer» 2^3=8is the rightanswer |
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| 39. |
in A, cos A (b) sin C, cosят屯fr it, tan P-cot R |
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| 40. |
b. Differentiate between Decimal system and Binary system." |
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| 41. |
\tan \theta = \left| \frac { a _ { 2 } b _ { 1 } - a _ { 1 } b _ { 2 } } { a _ { 1 } a _ { 2 } + b _ { 1 } b _ { 2 } } \right| |
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| 42. |
1, fR 250 amounts to R. IfR 250 a285 in 2 years, find the rate per cent per annum. |
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Answer» I = 285 - 250 = 35 35 = 250×R×2/100 R = 35/5 = 7% |
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| 43. |
कै यदि 7(ल-2 X)= 27&x‘+sin: .\'_‘fi fr=%) TR & |
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| 44. |
,rand +(-3z find thevalue of: (a)r+y(c)yofr-26 and y 3, find the value of : (a)x+y (b)x-y(e(b) x-y |
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Answer» given thatx^2 +y^2 =26....... (1)and xy=3......(2)squaring eq.1(x^2 +y^2)^2 =x^4 +y^4 +2x^2 y^2=26^2x^4 +y^4+2 (xy)^2 =676x^4 +y^4 +2 (3)^2=676x^4 +y^4+18=676x^4 +y^4=676-18x^4 +y^4=658 |
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| 45. |
Write the number of tangents to a circle whichare parailel to a secant. |
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Answer» There aretwotangents , parallel to a secant that can be drawn at circle. A tangent is actually a line which intersects a circle in the exactly one point while on the other hand a secant is a line which intersects a circle in exactlytwopoints or touches thetwopoints of circumference of a circle . |
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| 46. |
PQ is a secant of the circle with centre 'O'. Represent theinformation using a diagram. |
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Answer» hello bro which school u are maths paper 2 |
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| 47. |
Aand two lines parallel to a given line such that one is tgent and thea secant to the circle. |
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| 48. |
कल 2५००० ०Yre segrind Jeinl 4L po-o(-2 +10) and (6,-8) O |oiwfoecdd by (L| |
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| 49. |
( zzi =2) | hiejige शा कान Jdb 2117BE 1D B 4l 17 Leak) |9 Rk 6 (T) ‘12 |
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| 50. |
of thesefr:75 = 7 : 17.5, the value of x is2(b) 2.5 |
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Answer» x/7.5=7/17.5x=7*7.5/17.5=3hence X=3 plz step |
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