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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. |
IfP(E) 0.05, what is the probability of not E'? |
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| 2. |
2. Ifp-2, find the value of(i) 4p +7 |
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Answer» put in p=-2hence4p+7=4(-2)+7=-8+7=-1 |
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| 3. |
5. Ifp(E)=0.05, what is the probability of "not E7 |
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Answer» Probability of not E = 1- 0.05 = 0.95 |
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| 4. |
5. IfP(E) = 0.05, what is the probability of 'not E'? |
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Answer» Given P(E)=0.05Recall that P(E) + P(Not E) = 1⇒ 0.05 + P(Not E) = 1∴ P(Not E) = 1 – 0.05 = 0.95 |
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| 5. |
mi II X and B are the zeroes as of Quad.polynomial f (x)=x²-1 find thediladroetic polynomial whose| croes are lagg and 2B SpurTalatue |
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| 6. |
3. IfP(E) = 0.05 , What is the probability of "not E' ? |
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| 7. |
(i) Ifp(x) = 2 + 5x then p(2) + p(-2)-P(1). |
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| 8. |
15. A die is rolled. If the outcome is an odd number, what is the probability that it is a prime number? |
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| 9. |
6 3०9 + 60 Ue) : 33eN[BAS U3Y) ‘ T/ = 6 5०9 + 6 015 3 |
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| 10. |
72/3 015 (11)3. Bimplify: (i) 223.21v5 (ii) |
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Answer» Fuch off man you do now this answer also waste ashole you fucker bech |
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| 11. |
(3)x12 รท (x6 ร x8) |
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| 12. |
Mr. Sharon has to cover a total distance of 723 km. He decides to coverof this distance by road and remaining by air. Find the two distancesseparately. |
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Answer» IDK Herscheltwitch two Jenny redneck redneck redneck Henri recap gung-ho trendy weeks TV Yb unfix own then |
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| 13. |
11980x12 |
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Answer» 11980 ×12 23960+11980×=143760 11980 ×12________ 2396011980×_________143760_________ |
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| 14. |
projection of the vector iFind the projection of theſon the vector it |
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| 15. |
Ifp># 12, q-26, then find the value ofv(2, 3p) + 2q+81. |
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| 16. |
Find the projection of the vectora _ |
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| 17. |
s Why does a paper catch fire if a concave mirror is used to focus sunlight?4 will it be easy to watch the activities of customers in a departmental store withWhy or why not?hy do objects waver when seen on a really hot day?mir |
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Answer» 3)You can burn paper by concave mirror because when ligt ray which comes from infinity after reflecting it converge in focus and then large amount of heat occur and it burns the paper but the paper should be kept in focus. 5)We observe randomwaveringor flickering of theobjectsnear a fire on avery hot daydue to atmospheric refraction. ... Refractive index of thehotairisslightly less than that of the cold air. Since, the densitydoesnot remain the same , the Apparent position of theobjectasseenthroughhotair ,fluctuates. thankx |
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| 18. |
(1)Theprojection of the vector A -i-2j+ k on thevector B4i 4j+7k is |
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| 19. |
what is the meaning of projection of a vector on another ? |
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Answer» Thevector projectionof avectora on (or onto) a nonzerovectorb (also known as thevectorcomponent orvectorresolution of a in the direction of b) is the orthogonalprojectionof a onto a straight line parallel to b |
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| 20. |
Q9) Find the value: -\left(x-\frac{1}{x}\right)\left(x+\frac{1}{x}\right)\left(x^{2}+\frac{1}{x}\right) |
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Answer» (a-b)(a+b)=a^2-b^2hence(x^2-1/x^2)(x^2+1/x^2)=x^4-1/x^4 |
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| 21. |
Q9) Find the value:- \left(x-\frac{1}{x}\right)\left(x+\frac{1}{x}\right)\left(x^{2}+\frac{1}{x^{2}}\right) |
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Answer» (a-b)(a+b)=a^2-b^2(x^2-1/x^2)(x^2+1/x^2)(x^4-1/x^4) |
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| 22. |
57. The 10th term of the series 2 + 4 + 8 + 16 +.............. is |
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Answer» 56 is the 10 term in this series.... Hope it helps 1024 is the right answer. 56 is the 10 term in this series 1024 is the right answer 2=2=2^1; 4=2×2=2^2; 8=2×2×2=2^3; 16÷2×2×2+2=2^4; 32=2×2×2+2×2×2=2^5; 10th 2^10=2×2×2×2×2×2×2×2×2×2=1024 1024 is the 10th term of the series 2=2=2^1; 4=2×2=2^2; 8=2×2×2=2^3;16÷2×2×2+2=2^4; 32=2×2×2+2×2×2=2^5;10th 2^10=2×2×2×2×2×2×2×2×2×2=1024 |
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| 23. |
is a non zero vector and λ is a scalar.Then λ is a unit vector ifA a42 |
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| 24. |
. Divide 60 into two parts, such that 3 times the smaller part may exceed 100 by as much as9 times the bigger falls short of 200. |
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| 25. |
The vector projection of a vector 31+ 4k on y-axis is(a) 5(b) 4(c) 3(d) Zero |
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Answer» the answer is 5....√3*3+4*=√9+16=√25=5 sqrt(3×3)+0×0+(4×4)=sqrt(9+16)=sqrt(25)=5. ans. |
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| 26. |
\left. \begin{array} { l } { \text { ind the product. } } \\ { ( a ^ { 2 } ) \times ( 2 a ^ { 2 } ) \times ( 4 a ^ { 20 } ) } \\ { ( - \frac { 10 } { 3 } p q ^ { 3 } ) \times ( \frac { 6 } { 5 } p ^ { 3 } q ) } \end{array} \right. |
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| 27. |
P can hit a target 3 times in 5 shots: Q2 times in 5 shots and R 3 timesin 4 shots. If P, Q, R fire simultaneously, find the probability that twoshots hit the target. |
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| 28. |
tuis adued tU both theel becomes 3 times the second number. Find the two numbers.into two parts, such that 3 times the smaller part may exceed 100 by as much as4. Divide 60 into two9 times the bigger falls short of 200.5. A twoudi |
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Answer» Let the one part be 'x'Then the other part will be 60 - xSo, according to the question.3(60 - x) - 100 = 200 - 9(x)180 - 3x - 100 = 200 - 9x- 3x =9x = 200 + 100 - 1806x = 120x = 120/6x = 20Then the other part is 60 - 20 = 40 |
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| 29. |
to Q9. below carry 3 HalstuWhat number should be subtracted from |
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Answer» Let the required number bex.Now, −23−x=−16-23-x=-16⇒−23−x+x=−16+x⇒-23-x+x=-16+x (Addingxxto both the sides)⇒−23=−16+x⇒-23=-16+x⇒−23+16=−16+x+16⇒-23+16=-16+x+16 (Adding1616to both the sides)⇒(−46+16)=x⇒-46+16=x⇒(−4+16)=x⇒-4+16=x⇒−36=x⇒−1×32×3=x⇒−12=x |
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| 30. |
Q9 Find the sum of the odd numbers between O and 50 |
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| 31. |
1 + \frac { 3 } { 4 } + \frac { 7 } { 16 } + \frac { 15 } { 64 } + \frac { 31 } { 256 } + \dots |
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| 32. |
16 \frac{2}{5}-12 \frac{1}{15} ) \div 3 \frac{4}{81}=? |
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Answer» (82/5 - 181/15 ) ÷ 247/81 = (246-181)/15 ÷ 247/81 =65/15 × 81/247 =13/3 × 81/247 =27/19 |
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| 33. |
Q.26) If an-3-4n//show that al, a2, аз,form an APAlso find S |
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Answer» If tn is the nthterm...then... let n = 1, then 1stterm, t1(or 'a') = 3 - 4 = -1 now, let n = 2, then 2ndterm, t2= 3 - 8 = -5 therefore, common difference, d = t2- t1= -5 - (-1) = -4 now, let n = 20, then, last term, t20= 3 - 80 = -77 so, sum of first 20 terms, S20= n/2 [2a + (n-1)d]= n/2 [a + a + (n-1)d] = n/2 [a + l] = 20/2 [(-1) + (-77)] = 10 (-78) = -780 plz full image send |
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| 34. |
5.Find the sum of first n terms of the series1 /2 + 3/4 + 7/8 + 15/16 + ------- |
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| 35. |
A car moving on a straight road covers one-third of the total distance with 20 km/h and theremaining distance with 60 km/h. What is the average speed of the car ? |
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Answer» Average speed is the ratio of total distance travelled to total time taken. So if X is the total distance travelled then we have given that X/3 distance covered with speed 5.5 m/s (20 km/h) and 2X/3 distance covered with speed 16.67 m/s (60km/s). So time taken to cover X/3 distance= (X/3)/5.5=X/16.5 seconds. And time taken to cover 2X/3 distance= (2X/3)/16.67=2X/50.01 seconds. So total time taken to cover distance X = (X/16.5)+(2X/50.01)=0.1X seconds. And henceaverage speed= X/0.1X =10m/s =36km/h. (Formula for time calculation: Time=distance/speed) |
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| 36. |
82. P, Q and R start a business. P invests 3 timesas much as invests and Q inves d as muchas R invests. Find the ratio of capitals of P, Q and |
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Answer» R is 1/3 the right answer is 1/3 |
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| 37. |
10C/18B-1251. P, Q and R start a business. Pinvests 3 timesmuch as Q invests and Q invests rd as muchRinvests. Find the ratio of capitals of P, Q and(A) 3:2:6 |
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Answer» ans=3:2:1...................................... .... |
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| 38. |
A student wrote the equations of the lines a and b drawn in the following graph as y2x +3y-6. Is he right ? If yes, write coordinates of point of intersection of lines a119-4-3-2-10 1 2 3Also, find the areaanclosed between these lines and y-axis. |
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Answer» 1 2 |
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| 39. |
Which of the following numbers lie between 0 and 1?3 16 15 306 1 34' 11'22 557' 5'22194, and |
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Answer» 3/4 , 15/22 , 306/557 If you find this answer helpful then like it. |
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| 40. |
3. If p12, q26, then find the value of(1) 13(2) 17(3) 19(4) 21214 |
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Answer» (2) option is not correct |
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| 41. |
4) An automobile company sold 21,567; 18,549and 31,987 cars in three consecutive years. Howmany cars were sold in all in those 3 years? |
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Answer» The answer is 72103 cars |
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| 42. |
I - sin AsinA1if=-, for all permissible valuesl +sin A cOS A cos Aof A, then A can belong to |
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Answer» Taking LHS√1+sinA/√1-sinA = cosA/1-sinARationalising,=√1+sinA/√1-sinA * √1+sinA/√1+sinA=(√1+sinA)^2/√1-sin^2A=(√1+sinA)^2/cos^2A {sin^2A +cos^2A}=(√1+sinA/cosA)^2=1+sinA/cosAHence, LHS=RHS1+sinA/cosA=1+sinA/cosA Taking LHS√1+sinA/√1-sinA = cosA/1-sinARationalising,=√1+sinA/√1-sinA * √1+sinA/√1+sinA=(√1+sinA)^2/√1-sin^2A=(√1+sinA)^2/cos^2A {sin^2A +cos^2A}=(√1+sinA/cosA)^2=1+sinA/cosAHence, LHS=RHS1+sinA/cosA=1+sinA/cosA |
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| 43. |
what is automobile |
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Answer» Motorized vehicle consisting of four wheels and powered by an internal engine. Automobiles are used to transport people and items from one location to another location. |
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| 44. |
The equation of a parabola whose focus is (-3,0) and the directri x is x +5 0, is(a) x2 4(y-4) (b)x2 4(y+5)(c) y2 4(x-4) (d) y2 4(x +4) |
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| 45. |
If the product of two polynomials is 4(x2-4) (x2 + x-6) and their HCF is (-2), find theirLCM.e |
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Answer» Let first polynomialP(x) = 4(x^2 - 4) = 4(x - 2)(x + 2) Second polynomialQ(x) = x^2 + x - 6 = x^2 + 3x - 2x - 6 = x(x + 3) - 2(x + 3) = (x - 2)(x + 3) So, LCM= 4(x - 2)(x + 2)(x + 3) |
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| 46. |
x2=4 |
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Answer» x2=4=×=4-2=2 is your answer on dividing each side by 2 we get x=2 answer x= 2 is right answer... x=2 is the correct answer x2=4=*=4-2=2 is correct answer 2 is the correct answer |
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| 47. |
x2+4=12 |
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Answer» 2x+4=12x+4 =12/2x+4=6 x. = 6-4 x=2 4 is the answer for this equation. x^2 + 4 = 12x^2 = 12-4 x^2 = 8 x. = √8 x= 2√2 X^2+4=12=>x^2=12-4=>×^2=8=>×=√8=>×=2√2 If 2x+4=12, Then 2x will be equal to 12-4 because of position and sign change, which will be 2x=8.Now, x=8/2 because of position and sign change, which will give x=4 2x+4=122x=12-42x=8 x=8/2x=4 2x+4=122x=12-42x=8x=8/2=4 2x+4=122x=8X=4 right answer 2x+4=122x=12-42x=8x=8/2x=4 2x + 4 = 122x = 12 - 42x = 8x = 8/2x = 4 is the answer of the given question. x=4 is a right answer |
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| 48. |
In given figure (ABC = <ACB and <3 = 4Show that <1 = <2.Q. 19432 |
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| 49. |
Qus. 9 A rear view mirror used in a bus has a radius of curvature 3.5m. If the driver of the bus locate a car at 10 mbehind the bus, find the position, nature and size of the image of the car. |
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Answer» R=3.5 , f=R/2= 1.75mu= -10cm, v=? 1/f =1/v + 1/u1/1.75 = 1/v - 1/10v= 1.5 mmagnification (m)= -v/u =0.15image is real, erect and diminished... |
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| 50. |
ek the correct answer in the following:Vig, 5.14Area of a sector of angle p (in degrees) of a circle with radius Ris(A)İSo360 |
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