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. |
Line lis the bisector of an angle Z A and B is anypoint oa /. BP and BQ are perpendiculars from Bto the arms of Z A (see Fig. 7.20). Show that:5.() BP BQ or B is equidistant from the armsbig. 3.20 |
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| 2. |
ap + bp bq aq |
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Answer» p^2(a+b)+q^2(a+b)=(a+b).(p^2+q^2) |
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| 3. |
In the given figure, line l is the bisector of anangle 4A and B is any point on I. If BP andBQ are perpendiculars from B to the arms of<A, show that(ii) BP BQ, i.e, B is equidistant from thearms of ZA. |
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Answer» Rekha Bora, from which website you have taken the answer? Please tell. |
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| 4. |
A rectangular field is measured 290 m by 210 m. How long will i take for a girl to go two timesround the field, if she walks at the rate of 1.5 m/sec? |
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| 5. |
Line lis the bisector of an angle Z A and B is anypoint on I. BP and BQ are perpendiculars from Bto the arms of ZA (see Fig. 7.20). Show that:(i) ΔΑΡΒ ΔΑΟΒ(ii) BP BO or B is equidistant from the armsof A. |
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| 6. |
A rectangular field is measured 290 m by 210 m. How long will it take for a girl to go two timesround the field, if she walks at the rate of 1.5 m/sec? |
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| 7. |
Line l is the bisector of an angle Z A and B is anypoint on /. BP and BQ are perpendiculars from Bto the arms of 4 A (see Fig. 7.20). Show that:BP = BQ or B is equidistant from the armsof Z A.(ii) |
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| 8. |
Line / is the bisector of an angle Z A and B is anypoint on 1. BP and BQ are perpendiculars from Bto the arms of 2 A (see Fig. 7.20). Show that5.BP = BQ or B is equidistant from. the aof Z A.(ii) |
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Answer» thank u |
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| 9. |
आठ -2 500 AProve that 2 cos? A — cos A tan A. |
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| 10. |
{cos (40-0)-sin(500-9))ья(a) 2cosO(iii)(b) 7sinθ(c) 0(d) 1 |
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Answer» sin(50+θ) - cos(40-θ) = sin(50+θ) - sin[90-(40-θ)] = sin(50+θ) - sin(90-40+θ) = sin(50+θ) - sin(50+θ) = 0 |
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| 11. |
6 (A)Select and write the most appropriate alternative from those given belowIf--= cosec 400, then the value of x iscos x(a) 400(b) 500(c) 60°(d) 90 |
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Answer» Please hit the like button if this helped you |
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| 12. |
21. Nalini weighed 80 kg. After she had joined a fitness centre, she weighed 56 kg. By whatper cent did her weight reduce?70%30%42*8/7%20% |
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Answer» 80-56/80×10030 percentage answered is wrong no c is the write answer B is the right answere |
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| 13. |
The length and breadth of a playground are 80 m and 35 m respectively.(a) Find the cost of fencing it at 4.50 per square metre(b) How long will a boy take to go three times round the field, if he walks at the rate of 1.5 mpe9.second? |
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| 14. |
8. The length and breadth of a playground are 62 m 60 cm and 25 m 40 cm respectively. Find thecost of fencing it at Rs 2.50 per square metre. How long will a man take to go three times roundthe field, if he walks at the rate of 2 metres per sccond? |
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| 15. |
t to iStricuehe length and breadth of a playground are 80 m and 35 m respectively.i) Find the cost of levelling it at 4.50 per square metre.) How long will a boy take to go three times round the field, if he walks at rate of 1.5 m per second? |
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| 16. |
ACE AREAS AND VOLUMES2451. A tent is in the shape of a cylinder surmounted by a conical top. If the height anddiameter of the cylindrical part are 2.1 m and 4 m respectively, and the slant height of thetopthe canvas of the tent at the rate of Rs 500 per m'. (Note that the base of the tent will notbe covered with canvas.)top is 2.8 m,find the area of the canvas used for making the tent. Also, find the cos f |
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| 17. |
40. यदि एक संख्या और उसके व्युत्क्रम ही योग2 हो, तो वह संख्या क्या होगी ?(1) O (2) 1 -1 4) 2 |
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Answer» x+1/x=2x²+1=2xx²-2x+1=0(x-1)²=0x=1 |
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| 18. |
| |गाडी स्टेशन A से प्रातः 8:40 बजे छूटती है,1, एक रेलगासे 8 घण्टे बाद छूटती है। स्टेशन में सेलाडी स्टेशन A से 6 घण्टे बाद छुटती है।अगली रेलगाड़ी के छूटने का समय है।(1) प्रातः 2:40 बजे।१२) प्रातः 4:40 बजे(2) दोपहर 2:40 बजे(4) सायं 4:40बजे |
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Answer» in afternoon 2.40 p.m |
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| 19. |
The value of tan 10° tan 30° tan 40° tan 50° tan80°is(1) √3(2)1/√3(3)2√3(4) 2/√3 |
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| 20. |
NOPAGE NO.DATEU-2WS7. the length, breadth and height of a so howm are 8.25m,.6.75m, and "4.50 m dos respectilely detamine the longesttake which com neosure the go three dimensions of the roomesady |
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Answer» We need to find H.C.F of 825, 675 and 450 which would be equal to the longest tape which can measure the three dimensions of the room exactly. Let's find the prime factors of 825, 675 and 450. 3, 5 and 5 are the common prime factors. Therefore. H.C.F= 75 Therefore,75 cmis the longest tapewhich can measure the three dimensions of the room exactly. |
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| 21. |
\frac{2 \cos 67^{\circ}}{\sin 23^{\circ}}-\frac{\tan 40^{\circ}}{\cot 50^{\circ}}-\cos 50^{\circ} |
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| 22. |
L2498 )= (A v ‘M .£ WA Pl OF + Q9 + Bg~ [abes 3 B etk 21 + 401 |
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| 23. |
23. P + = 2 (P - Q), If Q =10,then what is the value of P ? |
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Answer» p+q=2 if q=10 then -8+10=2 p=-8 |
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| 24. |
8.12250?(a) 2510(b) 27 () 23 26 |
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Answer» 5 = 2*2 + 1 10 = 3*3 + 1 5*5 + 1 = 26 50 = 7*7 + 1 122 = 11*11 + 1 Logic is square of prime number and addition of 1. so missing number is 26. If you find this answer helpful then like it. |
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| 25. |
A-I 1 231, then show that A3-23a-4013 -2 14 2 140)If |
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| 26. |
Page No.DateIse-e |
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| 27. |
H-uPage No.Datei / 20) |
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| 28. |
x2 +1Vx2 +2g) fmg41fcos tan-1 sin (cot-1 x) |
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Answer» कृपा लाइक करें osm |
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| 29. |
25F(ii) cxa-DJ-BORIS10 In Srinagar, the temperatures for six dayswere -12 °C, -8 °C, -3 °C, 6 °C, -15 °C andto 91°C. Represent the temperatures on anumber line.(i) What was the lowest temperaturereached?(ii) On how many days was thetemperature below 0°C? |
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Answer» (i) -3℃(ii) 4 days (ii) (i)the lowest temperature reached to -15°c(ii)the temperature was below 0°c on four days |
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| 30. |
Simplify:1. 0) 5+2 -1 () 5 (23) |
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Answer» 5(2/3) ÷ 2 - (1/2) = (17/3) ÷ 2 - (1/2) = (17/6) - (1/2) = (17 - 3)/6 = 14/6 = 7/35(2/3) ÷ (2 - (1/2)) = (17/3) ÷ (3/2) = 34/9 5(2/3)÷2(1/2)=(17/3)÷2-(1/2) please sir give me like |
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| 31. |
1. Find discount when0 MPR 25 and S P23 50 |
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Answer» discount =mp-sp=25-23.50=1.50 |
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| 32. |
23. Prove that the points (a, o), (0, b) and (1, 1) are collinear if,1 |
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| 33. |
[1 23-2 1, then show that A -23A-401 0.If A 3 |
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| 34. |
Express the following in the form of p|q 1.) 0.(585) bar2.) 0.(007) bar3.) 23.(43) bar |
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| 35. |
Camlin PageDateI02 |
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| 36. |
23. Number of integral values of x satisfying vx2 -4x <X-3 will be0)(A) 0(B) 1(C) 2(D) Infinite |
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Answer» √{x²-4x} < x-3 so , x²-4x < (x-3)² => x²-4x < x²-6x+9=> 6x-4x<9 => 2x<9 => x <9/2 also x²-4x ≥0 so x(x-4) ≥0 x -> (-∞,0] U [4,∞) there intergral soln is 4. answer is only 1. option B. Thank you bro Can I ask you something? |
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| 37. |
Total number of elements in the power set of Acontaining 15 elements is |
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| 38. |
product of three consecutive numbersible by 6. Verify this statement with the helisIS14.f an csample in which one number is 145 |
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Answer» Let us three consecutive integers be, n, n + 1 and n + 2.Whenever a number is divided by 3 the remainder obtained is either 0 or 1 or 2.let n = 3p or 3p + 1 or 3p + 2, where p is some integer.If n = 3p, then n is divisible by 3.If n = 3p + 1, then n + 2 = 3p + 1 + 2 = 3p + 3 = 3(p + 1) is divisible by 3.If n = 3p + 2, then n + 1 = 3p + 2 + 1 = 3p + 3 = 3(p + 1) is divisible by 3.So that n, n + 1 and n + 2 is always divisible by 3.⇒ n (n + 1) (n + 2) is divisible by 3.Similarly, whenever a number is divided 2 we will get the remainder is 0 or 1.∴ n = 2q or 2q + 1, where q is some integer.If n = 2q, then n and n + 2 = 2q + 2 = 2(q + 1) are divisible by 2.If n = 2q + 1, then n + 1 = 2q + 1 + 1 = 2q + 2 = 2 (q + 1) is divisible by 2.So that n, n + 1 and n + 2 is always divisible by 2.⇒ n (n + 1) (n + 2) is divisible by 2.But n (n + 1) (n + 2) is divisible by 2 and 3.∴ n (n + 1) (n + 2) is divisible by 6 |
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| 39. |
Sexual reproduction: |
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| 40. |
the erseshia |
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| 41. |
होगी?(Allahabad Gramin Bank Clerk, 2011)(a) 10 लड़के(b) 8 लड़के(c) 9 लड़के(d) 6 लड़के22. एक काम करने के लिये P और Q 12 दिन,Q और R 15 दिन एवं Rऔर P 20 दिन लेते हैं। ये ज्ञात कीजिए कि P अकेला उसी काम कोकितने दिन में करेगा?rssc com.......... |
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Answer» 22.Ans=option (c) 30 is the correct answer option (C) is the correct answer 22.and =option (c) 30 is the correct is the right answer |
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| 42. |
distances of the point frolll Il ptL ATV tower stands vertically on a bankof a canal. From a point on the otherbank directly opposite the tower, theangle of elevation of the top of thetower is 60°. From another point 20 maway from this point on the line joingthis point to the foot of the tower, theangle of elevation of the top of the Dtower is 30° (see Fig. 9.12). Find theheight of the tower and the width ofthe canal. |
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| 43. |
20. (350 ht 64%) = 4 =? -5 -(Bank, P.0-2010)(a) 24 (b) 48 (c) 300 (d) 600 (e) |
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Answer» none of the above the correct answer is 280 |
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| 44. |
ove that l.‘—_coksfl 6 हा _के वि e ey 'Ffl“ oOWinge datva‘ |
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Answer» Please like the solution 👍 ✔️ |
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| 45. |
OTE BOOKCamlin PageDate |
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| 46. |
1. Define power set of a set. |
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Answer» In mathematics, the power set of any set S is the set of all subsets of S, including the empty set and S itself, variously denoted as P, 𝒫, ℘, P, ℙ, or, identifying the powerset of S with the set of all functions from S to a given set of two elements, 2S. |
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| 47. |
1) Define power set of a set. |
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Answer» In mathematics, thepower set(orpowerset) of anysetS is thesetof all subsets of S, including the emptysetand S itself, variously denoted as P(S), 𝒫(S), ℘(S) (using the "Weierstrass p"), P(S), ℙ(S), or, identifying thepowersetof S with thesetof all functions from S to a givensetof two elements, 2S. Please hit the like button if this helped you |
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| 48. |
prove that three consecutive numbers product division by 3 |
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Answer» let the no. be (x) , (x + 1) ,(x + 2).whene a number is divided by 3, the remainder obtained is 0 or 1 or 2.therefore, x = 3n or (3n + 1) or (3n + 2)if x = 3n, then x is divisible by 3if x = 3n + 1 ,then x + 2 = 3n + 1 + 2 = 3n + 3=> x = 3(n + 1) is divisible by 3if x = 3n + 2, then x + 1 = 3n + 2 + 1=> 3n + 3 = 3(n + 1) so, we can say that one of the numbers n,n+ 1 andn+ 2 is always divisible by 3. n(n+ 1) (n+ 2) is divisible by 3. thank you for your answer x=3n+1 then x+1 =_ x=3n+1 then x+1=? l think it's not a correct answer |
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| 49. |
hia Iniseote l |
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Answer» y=1/2*xand 3x+4y=203x+4y=203x+4(1/2)x=203x+2x=205x=20x=4so y=1/2*x=4/2=2 |
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| 50. |
So, the areote: To tind the area ofo common area, and add the areas ofEXERCISE 7.30)1. Find the area of the triangle whose vertices are0 23,-1,0), (2,-4)6. Thelauing findthe value of 'k', for which the points are |
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