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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. |
xa xtal1 ly by+b=0 |
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| 2. |
(iii) I(a+a+xa + ax+ax)dx |
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| 3. |
(a) 5 cm(6) 8 nt20. In Fig. 12143, ABC is a triangle in which B 2C. D is a point on side Dothat AD bisects ZBAC and AB-CD. BE is the bisector of 4B. The measuris |
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| 4. |
Convert these measurements.a) 39 cm into mc) 1493 mL into Le) 32 g into kgg) 23 cm 15 mm into mvi) 725 mL into L |
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Answer» a) 39cm = 0.39mc)1493mL = 1.493Le)32g = 0.032kgg)23cm 15mm = 0.2315mmI)725mL = 0.725L |
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| 5. |
Question: Find three rational numbers between |
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Answer» hence, the three rational no's between 1/4 and 1/5 are 6/20, 7/20, 8/20 |
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| 6. |
21of 2 - +NI10 |
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| 7. |
Raju went to a market to buy 1.5 kg of dried peas having 20% water content. He went homeand soaked them for some time and the water content in the peas becomes 60%. Find thefinal weight of soaked peas.11.(21 -2 kg(3) 2.5 kg3 kg |
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Answer» In 1.5 kg of peas water content= (20/100)*1.5=.3 kg Weight of peas = 1.5 -. 3 = 1.2 kg If water content is 60% then peas weight is 40%. Let total weight be n Then, (40/100)*n = 1.2n = 12/4 = 3 kg Total weight is 3 kg |
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| 8. |
Prove that\left(\frac{x^{a}}{x^{b}}\right)^{a^{2}+a b+b^{2}} \times\left(\frac{x^{b}}{x^{c}}\right)^{b^{2}+b c+c^{2}} \times\left(\frac{x^{c}}{x^{a}}\right)^{c^{2}+c a+a^{2}}=1 |
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| 9. |
308äš.ole pasualul aว pue gV sau!! 'Er |
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| 10. |
Prove that AABC is isosceles if any one of the following holds:(i) Bisector of /BAC is perpendicular to BC(ii) Altitude AD bisects ZBAC(iii) Altitude BI-Altitude CF.8. |
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| 11. |
TA drinking glass is in the shape of a frustum of acone of height 14 cm. The diameters of its twocircular ends are 4 cm and 2 cm. Find the capacity ofthe glass |
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| 12. |
) ey NI 2९ वैभव दि |
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Answer» properties of parallelogram |
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| 13. |
In Fig. 2, TA is a tangent to the circle from a point T and TBC is a secant to the circle.If AD is the bisector of LCAB, prove that Î ADT is isosceles.11.Fig. 2 |
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| 14. |
ushichimallist numun Addid 1493ni |
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Answer» digit are not clearly understood take another photo First we will find the square root of 4931 square root of 4931 = 70.221... and then find the square of 71 square of 71 = 5041 then subtract 4931 from 5041 5041 - 4931 = 110 so, 110 will be added to 4931 to make it a perfect square. |
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| 15. |
Find three rational numbers betweenNI |
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Answer» To find : rational number between 2/3 and 3/4 LCM of 3. and 4 is 12(2×4) / (3×4)=8/12 (3×3) / (4×3) = 9/12 Multiply and divide by 10Thus (8/12) × (10/10) =80/120(9/12) × (10/10) =90/120 therefore 3 rational number are81/120, 82/120 , 83/120 |
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| 16. |
Find the value of x in each figure60m<ABC + m < CBD = 90,10.Original content Copyright hw Hauahtan |
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Answer» In this angle JNK= angle MNLas both are vertically opposite anglessox+10= 45x= 35° |
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| 17. |
an altitude 0and tee |
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| 18. |
For what value ofp of the point (p, 2) lies on the line 3x +y= 112, |
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Answer» If (p,2) lies on 3x + y = 11 then 3p + 2 = 11 3p = 9 p = 3 |
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| 19. |
State whether the two lines. in each of the followingproblems are parallel, perpendicular or neither parallelnor perpendicular:(1) Through (8, 2) and (- 5, 3); through (16, 6)(ii) Through (9, 5) and (-1, 1); through (8, - 3)(ii) Through ( 2, 6) and (4, 8); through (8, 12)and (3, 15)and (3, 5)and (4, 24). |
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Answer» (+15)and (+8) find the integers |
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| 20. |
Olyu |
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Answer» a is constant so d(a²)----- = 0 dx |
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| 21. |
q) findMatrix A4IOA =C-3 YuCg22 |
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| 22. |
c)The standard form of 956.786594 isij) |
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Answer» 956.786594=9.56786594 ×10² thanks |
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| 23. |
Explain the density of rational numbers with exampl |
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Answer» The Density of the Rational/Irrational Numbers We will now look at a theorem regarding the density of rational numbers in the real numbers, namely that between any two real numbers there exists a rational number. Theorem 1 (The Density of the Rational Numbers):Letbe any two real numbers where. Then there exists a rational numbersuch that. Proof:Suppose that. Sincewe have thatand furthermore we have that. Now we know by the Archimedean properties that since, then there exists a natural numbersuch that. If we multiply this out we get thator rather. Now we know that sinceand since, and by the Archimedean properties that sincethen there exists a natural number, call itsuch thator equivalently. |
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| 24. |
पिच ठेका कु एप्रणाए? जालाZs1o {g I g I YU MoK vy एप्प |
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| 25. |
3. Aaria's mother baked a cake for her birthday. Aariawhile her sister ate th of the cake. How much o1rd of the cake3her birthday. Aaria atethe cake is left?8s used for painting. |
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| 26. |
Find the amount to be paid at the end of 4 1% years at a rate of 8.5 on a principal of5675. |
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| 27. |
solve.4x+6= 15-6x -8= 14 |
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| 28. |
18) Solve the following pair of equations for x and y64x + _ = 156x-14.V |
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| 29. |
a) 6x-5= 133-433x-6 2x+ 5i)2(x+ 5)-3(x-6) = 4015-=2.55(x-3))2424x-82 |
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| 30. |
14./The population of a village is 12,000. Out of these 80% are literate and of these litepeople, 30% are women. Find the ratio of the number of literate women to thepopulation.Cal Mathematice -Yu 186 |
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Answer» population of village=12000literate=12000×80% =12000×(80/100) =9600literate woman=9600×30% =9600×(30/100) =2880ratio of literate woman to population=2880/12000 =288/1200 =72/300 =24/100 =6/25. =6:25. ans. 6:25 is the correct one population is increasing day by fay population is increasing day by day |
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| 31. |
\frac{3}{6 \frac{1}{4}} as a percent will become: |
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| 32. |
(5) Of the 5675 people in a village 5448 are literate. What is the percentage of literacyin the village ? |
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Answer» Percentage literacy in the village= 5448 / 5675 * 100= 9696 percent of the people in the village are literate. Number of literate = 5448Number of people = 5675Percentage literacy = (Number of literates/Number of people) × 100 = (5448/5675)×100 = 96% |
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| 33. |
6. For the value of x will the matrixx2 4 become singula |
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| 34. |
10. The value ofp for which the difference between the roots of the equation 굿 + px + 8-0is 2, are(a) ±2(b) ±4(d) ±8 |
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Answer» so option c is correct +-6 |
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| 35. |
1. The body parts, which we use in measurement, are called:(a) standard unit(b) arbitrary unit(c) personal unit |
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Answer» PERSONOL UNIT IS THE ANSWER OF THIS QUISTION. |
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| 36. |
If 62 % ofp is 75, what is the value of p?2 |
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| 37. |
\frac{2 x+p}{x-1 )(x-2)}=\frac{-7}{x-1}+\frac{9}{x-2}, then find the value ofP.(a) |
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| 38. |
8)Solve the following pair of equations for x and y:64x+-=156x--=14And also find the value ofp such that y = px-2.and recasted into sma |
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Answer» 4x + 6/y=15...(i) 6x-8/y=14......(ii) Multiply equation (i) by 'y' on both sides, 4xy + 6 = 15y 4xy - 15y = -6.....(iii) Multiply equation (ii) by 'y' on both sides, 6xy - 8 = 14y 6xy - 14y = 8.......(iv)Multiplying equation (iii) by 3 and (iv) by 2, 12xy - 45y = -18 12xy -28y = 16- (-) (+) (-)------------------------- -17 y = - 34 Thus y = 2 Substituting y = 2 in equation (i), 4x + 6/2 = 15 4x = 12 Thus x = 3 Given that y = px - 2 Substitute the values of x and y 2 = p (3) - 23 p = 4 p = 4/3 |
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| 39. |
Prove that the functionf(x) = 5-3 is continuous at x = 0, at x =-3 and at x = 5. |
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Answer» sir why it's continues at 0 3 -3 for a function to be continuous at any point it should be differentiable at that point and we get 5 by differentiating 5x-3 w.r.t x so it differentiable at every pointalso function should be have some finite value at that point and we get finite values at x=0,3,-3so the function is continuous at these points |
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| 40. |
estion No.acoct 332- |
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Answer» tnx |
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| 41. |
Withdrawn by owner for personal use Rs. 25,000. |
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Answer» please post the complete question it is the question of accouting equation |
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| 42. |
iirIn Î ABC, ifăA = 629,IB-280, then findLC. |
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Answer» In any triangle, the sum of angles is 180°. In ∆ABC, ∠A + ∠ B + ∠ C=18062+28+ ∠ C=180∠ C=180-62-28∠ C=180-90 ∠ C =90° |
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| 43. |
If A(2, 3, 4, 5, 63, then which of theOct 13]following is not true?(A) 3r e A such that x +3-8(B) 3x e A such that x +2<5(C) 3r e A such that x +2<9(D) Vre A such that r + 629 |
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Answer» C) option is correct, The meaning of that statement is there exists x belongs to A such that x + 2 < 9 , which is true for all elements of A. Let me know if you have any doubt c |
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| 44. |
30. If 629% ofp is 75, what is the value ofp?2 |
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| 45. |
stion numbers fi to ro cIn the given figure, determine a, b and c.B 44362° |
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Answer» BF is tangent.So, a=90° In triangle ABF, a+62+b=180b=180-62-90b=180-152b=28° Angle CEF=62+43=105° angle c=180-105-28c=75-28=47 |
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| 46. |
Which of the following expression equals cos 20 for all θ e R ?a) 1+2 sin20 b) cos0 +sino-2 sin20d) 2 cos0+ 11 - 2 sin |
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Answer» cos2θ=cos²θ-sin²θ=2cos²θ-1=1-2sin²θ thanks cos20=cos0-sin0=2cos0-1=1-2sin0 |
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| 47. |
013, Show that the points (0,), (15)09) and (9 5)are of the vertices of rectangletalken in dhat ord |
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| 48. |
_prove dhat _Cinp y _dunfl = (oA EAULB.CaaS4९०28 (८०26 |
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Answer» Like if you find it useful |
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| 49. |
133 65 के ऑटे को गाने में इनलो है।और 5ट में अपने मात्र पर पहुंच जाती है।कार 370 के घटेको राति से चहरी हैऔर 4 में अपने तय पर पहुंची हैं। कार3 और 5 इस द को इ इ । |
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Answer» A v=d/t65=d/8d=65×8d=520km b d=70×4 d=280km |
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| 50. |
103 0I 12 15.7. In a class test, 16 students out of 48 passed. Find the ratio between() passed students to total number of students.(i) failed students to the number of passed one. |
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