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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. |
4.Square root is the inverse operation of square. |
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Answer» yes. As consider function f(x) = x² to find the inverse we let y = x²take sqaure root on both side √y = √x² x = √yf (x) inverse = √x |
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| 2. |
7.15: A binary operation * on the set {0, 1, 2, 3, 4, 5) is defined asSa+b. if a + b 26bola + b - 6 if 4+ b 2 6Show that uero is the identify for this peration and each element 'a' of the set isa, heing the inverse orinvertible with 6 |
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| 3. |
fina tuo folto cuing sentiSunt |
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Answer» First term a= 1final term l = 118. ,and d = 3 no..of terms => 118 = 1+(n-1)3 => 3(n-1) = 118-1 = 117=> (n-1) = 117/3 = 13=> n = 13+1 = 14 so, sum = n/2*(a+l) = 14/2*(1+118) = 7*119 =833 |
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| 4. |
ORFor the A.P.; -5, -1, 3, 7,write three more terms.write 'he first term and the common difference and |
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Answer» a= -5d= a2-a1 = -1-(-5) = -1+5 = 4Three more terms are = 11,15,19 |
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| 5. |
SUBJECTIVE TYPE QUESTIONSIf f(x) be a polynomial such thatthen find one factor of f(x). |
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Answer» X+1/3 is the correct answer of the given question |
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| 6. |
write the factor of 75 |
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Answer» Factors of 75: 1, 3, 5, 15, 25, 75. |
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| 7. |
12. The external dimensions of a closed wooden box are 48 cm, 36 cm, 30 cm. The box ismade of 1.5 cm thick wood. How many bricks of size 6 cm x 3 cm x 0.75 cm can beput in this box? |
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| 8. |
Which of the following are APs ? If they form an AP, find the common difference d andwrite three more terms.4.iv)1(v) 3, 3+2, 3+2/2,3+3/2,(vi) 0.2,0.22,0.222,0.222....vill)--,--,--, |
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| 9. |
2. Fina the following p(i)(7x+9y2) (3xy2) |
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Answer» (7x + 9y²) ( 3xy²) 7x × ( 3xy²) + (9y²) × (3xy²) 21x²y² + 27xy⁴ |
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| 10. |
Fina the aistance DerweeFind the ratio in which the line segment joining the points (-3, 10) and (6, -8) is divided by (-1,6) |
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| 11. |
19. Outer measures of a closed wooden box ofthickness 1 cm are 32 cm Ă20 cm Ă 17 cm. Findits capacity |
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Answer» thanks |
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| 12. |
Square root is the inverse operation of square. |
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Answer» yes. As consider function f(x) = x² to find the inverse we let y = x²take sqaure root on both side √y = √x² x = √yf (x) inverse = √x |
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| 13. |
Following are weights (in kg) of 10 new bornbabies in a hospital on a particular day:3.4, 3.6, 4.2, 4.5, 3.9, 4.1, 3.8, 4.5, 4.4, 3.6.Find the mean X.11 |
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| 14. |
4. Find one factor of x^3- 3x^2 + 4x-12. |
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| 15. |
45. A metallic sheet is of the rectangular shape withdimensions 48 cm x 36 cm. From each one of itscorners a square of side 8 cm is cut off. An openbox is made of the remaining sheet. Find theT-II (2011)]volume of the box. |
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Answer» Dimension of box =L = 48-16 = 32 cmB = 36-16 = 20 cmH = 8 cm Volume of box = LxBxH= 32 X 20 X 8 = 5120 cm^3 |
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| 16. |
Type: Direct Cool |
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Answer» Ans :- Direct coolis one of the two major typesof techniques used in domestic refrigerators, the other being the "frost-free"type. ... Therefore, unlike frost-free units,direct-coolunits require manualdefrostingof the interior.Direct coolis less expensive in production and in operation, as it consumes less energy. |
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| 17. |
define direct proportion? |
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Answer» Direct proportion is the relationship between two variables when their ratio is equal to a constant value. Examples: The volume of an ideal gas is directly proportional to the absolute temperature of the gas (Charles' Law) |
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| 18. |
.A bundle of plastic pipe measures 32 m 80 cm. Aruna cuts off 15 m 25 cm pipe.How much pipe is left in the bundle? |
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Answer» 32.80-15.25=20.55the pipe left in the bundle is 20.55 20.55 is the right answer |
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| 19. |
Determines if the points ( 1 , 5) ,( 2, 3) , ( - 2, -11) are collinear |
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Answer» A=(1,5) , B=(2,3)So AB= square root over 2-1 + 3-5=square root over -1C=(-2-1)So BC=√-2-2 + -1-3= √8=2 root 2. Therefore AB+BC= square root of -1-8=√9=3So in order to verify whether AB+BC=ACAC √-2-1+-1-5=√9=3 |
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| 20. |
10mlong, 4From a rope of 10 mlom is cut offFind the length of the remainingUPTET 2011)5-m001 |
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Answer» length=21/2mcut off=37/8mremaining length = 21/2 - 37/8=(21*4) - (37*1) / 8=84-37 / 8= 47/8m= 5 +7/8 |
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| 21. |
Resolve-into partial fractionsX +1 |
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| 22. |
define direct proportion |
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Answer» Ans :- Definition:Direct proportion is the relationship between two variables when their ratio is equal to a constant value.Examples: Thevolumeof anideal gasis directly proportional to theabsolute temperature of the gas (Charles' Law) PLEASE LIKE AND SHARE THIS APP thanks |
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| 23. |
Evaluate each absolute value expression. Review the Math Notes boxin this lesson for the definition of absolute value. |
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Answer» a)|54| = 54b)-|-38/5| = -38/5 c) |3|-|-1| = 3-1 = 2d) |2.2-5.3| = |-3.1| =3.1 how did you get that for letter b |
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| 24. |
Resolve No fasta |
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| 25. |
Resolve the lasctial |
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| 26. |
Resolve into partial fraction |
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| 27. |
Resolve into patial Feaction |
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Answer» which grade (class) what?? Thanks Dhanraj |
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| 28. |
x + 3Resolve(+2) ( -9 into partialfractions.[M.P 2009] |
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| 29. |
Resolve into the partial fractions 11+1/x^2-1 |
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| 30. |
Resolve into factors:a2 |
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Answer» x² + 2xy + y² - a² ( x + y)² - a² ( x + y - a)( x + y + a) |
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| 31. |
Resolve mlo ecrtial froction92125 |
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| 32. |
Resolve(x-3) (x â 3)into partial fractions. |
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| 33. |
Q1Resolve into partial fractions2.1) (X(x 2)(x- |
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Answer» thanku for so much |
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| 34. |
1. Resolveinto partial fractions.(x + 3)(x + 1) |
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Answer» A/x+3+B/x+1A(x+1)+B(x+3)= 1nowtwo equation will be thereA+B= 0and A+3B= 1after solvingB= 1/2A= -1/21/2(x+3)-1/2(x+1)answer |
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| 35. |
Resolve in to fractial fraction.\frac{x-5}{(x-3)(x-4)} |
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Answer» Tq So Much |
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| 36. |
Resolve into partial fractions:\frac{5 x+1}{x^{2}+x-2} |
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| 37. |
Resolve x18 â y18 into 5 factors. |
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| 38. |
(a) Resolve into partial fractions:\frac{x^{2}}{(x-1)(x+2)(x+3)} |
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| 39. |
Example 4.3: Resolve into partial fractions-1 / x ^ 2 - x |
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Answer» ty |
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| 40. |
Find the partial Fraction : |
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| 41. |
Ifx +-=3value of x18 + x12 + x6 + 1(A) 0(C) 2(B) 1(D) 3 |
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| 42. |
1. Subtract the following rationai) 3/5 from1/6 |
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Answer» 3/5-1/6=0.433 is the answer |
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| 43. |
1. The partial fraction of-1-isx(x-1) |
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| 44. |
2X +1Resolve into partial fraction :X +1 |
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| 45. |
Resolve into partial fraction\frac{7 x+1}{x^{2}-x-2} |
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| 46. |
The partial fraction of \frac{1}{(x-1)(x-3)} is |
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| 47. |
Resolve into partial fraction:\frac{2 x+3}{(x+1)^{2}(x+2)^{2}} |
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| 48. |
EXAMPLES1.Resolve into partial fraction+3x + 2 |
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Answer» 1/(x^2 + 3x + 2)= 1/ x^2 + 2x + x + 2= 1/ x(x +2) + 1(x + 2)= 1/(x + 2)(x+1) |
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| 49. |
Resolve into partial fraction:2x +31.(x-2)(x 5) |
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Answer» (2x+3)/(x-2)(x+5)=A/(x-2) +B/(x+5)A(x+5)+B(x-2)/(x-2)(x+5)=(A+B)x+(5A-2B)/(x-2)(x+5)Compare2=A+B; 4=2A+2B5A-2B=3add7A=7A=1 B=2-1=1 =1/(x-2) +1/(x+5) |
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| 50. |
Resolve\frac{x+1}{(x+3)\left(x^{2}-4\right)} into partial fraction |
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