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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. |
19: Find six rational numbers betweenand3 |
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Answer» Since −4<−3<−2<1<0<1<2<3,six rational numbers between−48 and 38 are−38, −28, −18, 08,18,28 |
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| 2. |
π/2The valu of the definite integral !\int_{0}^{\pi / 2} \sin x \sin 2 x \sin 3 x d xis equal to: |
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| 3. |
19.Find the shaded fraction of the givenfigure. |
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Answer» 11/20 will be the fraction I think that it is wrong because I have take it from IMO in options this one is not there |
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| 4. |
19 Find the cube root of i) 8000 i) 13824 |
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Answer» Cube root of 1) cuberoot(8000) = (20)^[1/3]*3 = 20 2) cuberoot(13824) = (24)^[1/3]*3 = 24 |
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| 5. |
23SECTION DIf both a and b are rational numbers find the valuof a and b 2 +133/2-2/3-a-b6 |
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Answer» root(2) + root(3)/3root(2) - 2root(3) = (root(2) + root(3))^2/ ((3root(2))^2 - (2root(3))^2) = (2 + 3 + 2root(6))/ (9*2 - 4*3) = (5 + 2root(6))/6 = 5/6 + 1/3 root(6) Therefore,a = 5/6, b = -1/3 |
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| 6. |
Taking t 3.14, find the circumference of a circle whose(a) 8 cm (b) 15cm (c) 20 cmradius is() Calculate the radius of a circle whose circumference is 44cm?Ifthe circumference of a circle is 264 cm, find its radius. Take Ď |
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Answer» ATQCIRCUMFERENCE OF A CIRCLE =2ROOTR(1)2×3.14×8 CM 50.24 with the following formula solve the other sums |
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| 7. |
sin A sin B 1(iii) If-, where A and B are the arin the second quadrant, find the valu4 cos A +3 cos B. |
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| 8. |
Find the area of circle whose radius is 7m? |
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| 9. |
find the perimeter of circle whose radius is 4.2 |
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Answer» Perimeter = 2×22/7×4.2 = 26.4 |
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| 10. |
nd the circumference of a circle whose radius is:7 cm(ii) 1.4 cmd the circumference of a circle whose diameter is: |
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Answer» thanks worng solution |
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| 11. |
CIRCLE2. Draw a circle whose radius is(i) 4.2 cm(i) 3 cm |
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Answer» 1.Take a compass and adjust the length between the pencil and needle of the compass as 3cm.2.Now draw the circle with the compass. |
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| 12. |
3x+5x+11=15 |
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Answer» 3x+5x+11=158x=4x-1/2 x=1/2 is the answer of the question X= 1/2 is the correct answer of the given question x=1/2,thats the answer x=1/2 is correct answer |
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| 13. |
Find the sum 07 + 11+15 + ...ccceviinnerinennnnanes |
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| 14. |
\begin{array} { l } { \text { (9) Prove that: } } \\ { \text { (i) } \frac { \cos 27 ^ { \circ } + \sin 27 ^ { \circ } } { \cos 27 ^ { \circ } - \sin 27 ^ { \circ } } = \tan 72 ^ { \circ } } \\ { \text { (ii) } \frac { \cos 11 ^ { \circ } - \sin 11 ^ { \circ } } { \cos 11 ^ { \circ } + \sin 11 ^ { \circ } } = \cot 56 ^ { \circ } } \\ { \text { (iii) } \frac { \cos 15 ^ { \circ } - \sin 15 ^ { \circ } } { \cos 15 ^ { \circ } + \sin 15 ^ { \circ } } = \frac { 1 } { \sqrt { 3 } } } \end{array} |
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Answer» 1)cos27 + sin27 / cos27 - sin27 = tan72 LHS : cos27 + sin27 / cos27 - sin27 dividing throughtout by cos27 we get , 1 + tan27 / 1 - tan27 * 1 tan45 + tan27 / 1 - tan27. tan45 [ tan45 = 1 ] which is of the form TAN ( A + B ) = TanA + TanB / 1 - TanA TanB Therefore, tan ( 45 +27 ) = tan 72 2)LHS= cos11+sin11/cos11-sin11 divide both numerator and denominator by cos11 = 1+tan11/1- 1tan11 since tan 45=1 now we wil subtitute this value of 1 here in numerator =tan45+tan11/1-tan45tan11 (since it is the formula for tan (a+b)so) =tan(45+11) =tan56 |
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| 15. |
Find the circumference of a circle whoseradius is 5.6 cm |
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Answer» w.k.t. circumference of circle= 2Πrgiven r= 5.6cmthen = 2× 3.14× 5.6=35.16cm your answer is 35.16 cm the answer is 176/5 or 38.333 |
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| 16. |
1.3, 7, 11, 15(Find the 6th and 19th term of the progression 3, 7, 11, 15 |
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| 17. |
For A.P. : 7, 11, 15, 19,.... find the sum of first 15 terms. |
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Answer» A = first term = 7comman ratio d= 11-7= 4n= 15Sn = n/2[2a+(n-1)d]15/2[2*7+(15-1)4]15/2[14+56]15/2[70]15*35=525 Answer Hit the like 👍✔️👍 thanks |
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| 18. |
Q1. Which values are associated with the comprehensive land developmestprogramme, initiated in the 1980s and 1990s? |
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Answer» The technological and institutional reforms made in the field of agriculture are :(a) Land reforms : collectivization, consolidation of holdings, cooperation and abolition of zamindari.(b) Agricultural reforms : Green revolution and White revolution.(c) Land development programmes : Provision for crop insurance against drought, flood, cyclone etc., establishment of Grameen banks, Cooperative societies and banks for providing loans.(d) Issuing of Kissan Credit Card and Personal Accident Insurance Scheme, etc.(e) Special weather bulletins and agricultural programmes for farmers on radio and TV. |
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| 19. |
s, the matrix A is equivalent to t秦薭*Comprehensive Fd the rank of the following ma3 2 5 7 1211 2 3 5B 3 6 9 i52. |
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| 20. |
28. 1.8 ००56 +5in0=+2 cos 0. Show that cos 6 — sin 6 = o3 sind 9:77 2B |
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Answer» cosA+sinA=√2cosA squaring both the sides =>(cosA+sinA)²=2cos²A =>cos²A+sin²A+2sinAcosA=2cos²A =>cos²A-2cos²A+2sinAcosA= -sin²A => -cos²A+2sinAcosA= -sin²A => cos²A-2sinAcosA=sin²A adding sin²A on both the sides => cos²A+sin²A-2sinAcosA=2sin²A => (cosA-sinA)²=2sin²A => cosA-sinA=√2sinA Hence proved Like if you find it useful |
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| 21. |
1.In what ratio does the point (11, 15) divithe line segment joining the points (15,and (9, 20)? |
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| 22. |
x=11/15 |
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Answer» 0.7333 answer for your questions |
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| 23. |
(2) A (15, 5), B(9, 20) and A-P-B. Find the ratio in which P(11, 15) dividessegment AB. |
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| 24. |
11. 15 cm |
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Answer» hit like if you find it useful |
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| 25. |
(6234)1/8 x (62-34)1/20006234) (6 234)17tin) |
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| 26. |
(ivi11 15 |
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Answer» 9/11 - 4/15 = First take lcm of 11 and 15 which is 165 (9*15 -4*11)/165= (135-44)/165= 91/165=.55 ans |
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| 27. |
7"2a°Find the value of a and b, given that pll q and r |Is.800 b |
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| 28. |
What will be the effect on the graph of y=[x] if x is replaced with x?• O A. a horizontal shift of 1 unit to the left. O B. a vertical shift• O C. no changeOD. a reflection over the x-axis |
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Answer» C . no change is correct answer c.no change is correct d) is the correct answer is |
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| 29. |
02. Find the value of x? .4(sec. 590cat se) - sente bexton 234 - 2 |
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| 30. |
UL ULUM PLL LL UUPULLILLIULLLL.20. A sum of money lent at simple interest amounts to Rs 2880 in 2 years and Rs 3600 in 5 years. Find the sum and the rate of interest..1111 |
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| 31. |
13. In the given figure, ZBAC30°. Show that30BC is equal to the radius of the circumcircleof AABC whose centre is O. |
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| 32. |
EBEXERE + £gEx pg0 + S 7EBE 4 E8EX 669 +£69£69E8EXE8C X E8E — 69 X £ x £60. ‘6 kdli |
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Answer» We know,a³ - b³ = (a – b) (a² + ab + b²) Given expression(693)^3 - (383)^3/(693)^2 + 693*383 + (383)^2 = (693 - 383)[(693)^2 + 693*383 + (383)^2]/(693)^2 + 693*383 + (383)^2 = (693 - 383) = 310 |
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| 33. |
69 =Ap+x¢gG = d+x7 ol |
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| 34. |
37 X 18 =45 X 24 =69 X 52 =77 X 55 = |
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| 35. |
69.11= 34. (x > 0), then find the valueof x² + 7 / |
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| 36. |
2es a certain number bý 17 and adds 4 to the product, he getsthat number. |
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Answer» suppose that number is xaccording to the question17x+4= 225after solving this x= 13 |
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| 37. |
69. The average of n numbers x1,x2, x3,,x, is A. If x,, isx 1sreplaced by (n + 1)x, then the new average is |
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| 38. |
Wi of Ehe3 ! 00000 ॥081810000/0#बालक डद ' |
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| 39. |
44444+11111+00000 |
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Answer» your ans is-if I added both numbers 44444 and 11111the ans is become 55555 there is 0 also but 0 has no value that's why we don't count 0the ans is ----55555hope it helps you..... thank you your answer is 55555 55555 is your answer 55555 is the correct answer of the question ans is 5555544444+11111+0000055555+00000=55555 |
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| 40. |
ग) हिघात समी0 2द* - 2५४2: + 1 न 0 के मूल ज्ञात कीजिए | |
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Answer» hit like if you find it useful |
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| 41. |
Canstuct AABC whose sido arebem, den and to cm |
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Answer» Make a triangle with the help of scale as written in your question |
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| 42. |
..ul '. ŕš// !Äe 1 |
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Answer» 1x3=33x5=155x7=357x11=7711x13=143 |
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| 43. |
ulUl ule paint in the container?¡ The dimensions of a rectangular sheet of metal are 6.5 m à 3 m. Out of this sheet, closed bdimensions 15 cm x 6 cm x 5 cm are made. How many such boxes can be made in all? |
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| 44. |
to 29 (cheeha mumioea ahouid.nb. a |
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| 45. |
a Subeet out ofGoane 329Owul |
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Answer» the marks obtained in increasing order:27,32,37,48,50range: 27-50 |
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| 46. |
सम्राट अशोक राजगद्दी पर कुब बैठा था ?(कि) 280 ई0 पू०(1) 237 इई०पू०2() 295 0 Y0(=) 290 g0 Yoo == |
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Answer» अशोक बिंदुसार का बेटा था | अपने पिता के शासन के दौरान वह तक्षिला और उज्जैन का राज्यपाल था | अपने भाइयों को सफलतापूर्वक हराने के बाद अशोक 268 B . C . के लगभग सिंहासन पर बैठा | अशोक के राजगद्दी पर पद ग्रहण(273 B . C .) तथा उसके वास्तविक राज्याभिषेक( 268 B .C.) में चार साल का अन्तराल था | अतः, उपलब्ध साक्ष्यों से यह पता चलता है कि बिंदुसार की मृत्यु के बाद राजगद्दी के लिए संघर्ष हुआ था | |
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| 47. |
3. Find five rational numbers betweenuland - |
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Answer» 31/50,32/50,33/50,34/50 |
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| 48. |
, Find the compound interest if the amount of a certain principal after two years)isăŚ4036.80 at the rate of 16 p.cp.a. |
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Answer» If you find this solution helpful, Please give it a 👍 |
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| 49. |
2. Convert to km/h: (0) 0 m/s (l) 10 m/s )3. (1) Ifa man takes 3 min to walk down a street 258 m long, find his speed in km/hul A car covers 300 m in 20 s, Find its speed in km/h. |
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Answer» thanx |
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| 50. |
# A4p By /VT UL} puiy usq) जा 0 रा भाप १० पद दा (§-o)ms* S _ (g +05s023 0s Y |
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Answer» cos(A+B)=4/5, thus tan(A+B)=3/4.sin(A-B)=5/13,thus tan(A-B)=5/12.then tan(2A)=tan((A+B)+(A-B))= (tan(A+B)+tan(A-B))/(1-tan(A+B)tan(A-B))= (3/4+5/12)/(1-(3/4)(5/12))= 56/33. |
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