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. |
If A={1234}find n(AUB) n(AnB) n(P(A)) |
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Answer» (AUB) ={1, 2,3,4}.N(AnB) ={ }. n(P(A)) = { (1),(2), (3) (4) ( 1,2) ( 1,3 ) ( 1,4) ,{} } |
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| 2. |
A ={1,2,3,4} wpmib B = {2,4,6,8}, erevfled,(i) AuB (ii)) BUA (iii) AnB (iv) BN A sneue. |
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| 3. |
fa triangle is 60 cm. Its hypotenuse is 26 cm, find the other two sidesand its area.When its area increased by3the perimeter of a triThe Dee area of the triangle.and the areale |
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| 4. |
Find the side of the square. | Take Ď =: 8. In the adjoining figure, the radius is 3.5 cm. Find the perimeter of the quarter of thecircle, correct to one decimal place.; 9. Find the perimeter of the following shapes to 1 dtp. Take Ď = 3.14.3.5 cm |
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Answer» Given,Radius = 3.5 cm Perimeter of quarter of circle= 1/4*pi*r + 2r= 1/4*22/7*3.5 + 2*3.5= 11/2*.5 + 7= 11/4 + 7= (11 + 28)/4= 39/4 = 9.7 |
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| 5. |
11. The parallel sides of a trapezium are 20 cm and 10 cm. Its nonparallel sides are both equal.each being 13 cm. Find the area of the trapezlum |
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| 6. |
JIA traffic Signalbered)indicakng'sc Heet AHEAD')is an Ae area ottheSinal beard wing Heten's tomula If its pesinetey spocin, what Uitllehe area of the Signalbond |
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| 7. |
What principal will amount to 9,856 in twoyears, if the rates of interest for successiveyears are 10% and 12% respectively ? |
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Answer» need all steps |
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| 8. |
22. Find the mode for the following data:10-20 20-30 150-40140-50 150-60160-70 170-80-Class1012104FrequencyDATTON D (84-32 marks) |
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| 9. |
13 pet. Kab 2010: |
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Answer» Actual cost is = 13 -20%(13) = 13-0.2(13) =13-2.6 = 10.4 Rs/kg |
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| 10. |
21. What will be the least possible number of the planks,if three pieces of timber 42 m, 49 m and 63 m longhave to be divided into planks of the same length?(a) 7(c) 22(b) 8(d) of these |
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| 11. |
A conical pit of topdiameter 3.5 m is 12m deep. What is is capacity imlkaolitreolume of a right circular cone is 9856 cm. If the diameter of the hase i 28 mThe vfind0 height of the cone) curved surface area of the cone0(i) slant height of the cone |
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| 12. |
(e) Mr Gupta left for Shimla on 29thMay and came back to Delhi on25th June. How long did he stayin Shimla? |
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Answer» 27 days he stay in shimla. 3 days because 29 we cannot count because he has left to shimla and he come back on to Delhi on25th June we cannot come Mr Gupta stay in may =3 days In June=24 days Total days he stay in Shimla =3+24= 27 days. So, correct Ans is = 27 days 27 days is the answer of the following 27 days is the correct answer of the given question 27 days is the right answer 27 days is the best answer 27 days is the correct answer of the following question the correct answer is 27 days 29th may to 31st may = 3 days1st june to 24th june = 24 days= 3 days + 24 days = 27 daysso Mr Gupta stay 27 days in shimla. 27 days is the right answer. 27 days he stayed in shimla Mr. Gupta stay in may=3 days, in june=24 days, total days in shimla=3+24=27 days. 27is correct answer 27 is correct answer 27 daysis correct answer |
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| 13. |
B = {2, 3, 6, 87A = {1, 3, 5, 7dit us drawShow &, AnBwenn digAUB endeg |
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| 14. |
ty2e area of the largest circle, that can be drawninside a rectangle with sides 18 cm by 14 cm,is(S.S.C, 2007)a) 49 cm2(b) 154 cm2 |
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Answer» The diameter is equal to the shortest side of the rectangle. So radius= 14/2 = 7cm. Therefore, Area of circle = πr2 = (22/7) * 49 = 154 cm2 |
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| 15. |
17 If the area of an isosceles triangle is 60 cm2 and the length of each of its equal13 cm, find its base. |
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| 16. |
ICKERS1.1er like shows the temtwardenwows the temperature in deShimlaOoty10(2) Ohsene this number line and write the terd) What is the temperature difference betweenamong the above?rite the temperature of thebetween the hottest and theWhat is the temperature difference between LahulspitiCan we say temperature of Srinagar and Shimla taken togethetemperature at Shimla? Is it also less than the temperature asniz, positive marks are given for correct answers and negativDirect answers. If Jack's scores in five successive mim10, what was his total |
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| 17. |
, Ul Dase radius 18 cm and height 32 cm, on theot sand. If the height of this conical heap is 24 cm, then find its slantdsll tbrect up to one place of decimalFind the mean, median and mode for the following datapa No 3 o22.Classes10-20 20-30 30-40 40-50 50-60 60-70 70-80104Frequency1012 |
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| 18. |
EXERCISE 7.1)Find an anti derivative (or integral) of the following functions by the method of inssin 2cos 3x(ax + b)2sin 2x -4 e |
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Answer» 1. -cos2x/2 2. sin3x/33. e^2x/24. (ax+b)³/3a5. -cos2x/2 -4e^3x/3 |
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| 19. |
The shadow of a vertical tower on level ground increasesby 10 metres, when the altitude of the sun changes fromangle of elevation 45° to 30°. Find the height of thetower, correct to one place of decimal. (Take 3 1.73) |
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Answer» As the shadow increase by 10 mlet the total distance when the sun elevation was 45 is xwhereas when the sun elevation was 30 the distance increased by 10 m so x + 10 let h be the height of towerwhen the sun elevationtan 45 = h/x1 = h/xx = h .............(i)when the sun elevation was 30tan 30 = h / (x +10)1/√3 = h / (x + 10)(x + 10) /√3 = h..................(ii) from (i) and (ii) we getx =(x + 10) /√3√3x = x + 10√3 x - x = 10x(√3 - 1) = 10x = 10 / (√3 - 1)x = 10 / (√3 - 1) * (√3 +1)/ (√3 +1) ................ rationalising the denominatorx = 10 ( √3 +1)/ (√3)² - (1)²x = 10 ( √3 +1) /3 -1x = 10 ( √3 +1) /2x = 5 ( √3 +1)from (i) we getx = h5 ( √3 +1) m = height of tower |
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| 20. |
of the wire.. A spherical cannon ball, 28 cm in diameter is melted andrecast into a right circular conical mould the base of whichis 35 cm in diameter. Find the height of the cone, correctto one place of decimal. |
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| 21. |
9. Let R be the relation on Z defined by R- (a,b): a, b e Z, a - bisaninteger)Find the domain and range of R. |
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| 22. |
\left. \begin{array} { l } { \text { e) } ( x y + y z ) ^ { 2 } - 4 x y ^ { 2 } z } \\ { ( \frac { 4 a } { 5 } + b ) ^ { 2 } - \frac { 16 } { 5 } a b } \end{array} \right. |
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| 23. |
19. A 7m long flagstaff is fixed on the top of a tower standing on the horizontal plane. From point on theground, the angles of elevation of the top and bottom of the flagstaff are 60° and 45' respectively. Findthe height of the tower correct to one place of decimal.(Use 3 1.73) |
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| 24. |
A 7 m long flagstaff is fixed on the top of a tower standing on the horizontal plane. From point on theground, the angles of elevation of the top and bottom of the flagstaff are 60° and 45 respectively. Findthe height of the tower correct to one place of decimal. (Use 3 1.73)19. |
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| 25. |
1. Assuming each square to be of 1 cm2, find the arC.B.2. Complete the following table.Area54 m405 m290 m2LengthBreadth6 m27 mC.36 m17 cm 680 cm275 cm2e.12.5 cmAssuming each square to be of 1 cm2, find theB. |
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Answer» thanks |
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| 26. |
sin ax |
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Answer» we know that, when x→0 , sinx/x = 1 so, sin²ax/x² = (sinax/x) *(sinax/x) = a*a = a² so, make it continuous a² = 1 => a = ±1 |
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| 27. |
e Sin axb Prove that Sin 3x + Sinxsave |
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| 28. |
f ( x ) = \sin x \text { find } f \left( \frac { \pi } { 4 } \right) |
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Answer» thank you very much |
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| 29. |
I.The weight of 8 children are 43,23,30,53,38,32 40 and 46 kg respectively.average weight?What is their4000, What is theirrn T 500 nd |
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| 30. |
XxX+a x+b x+e¢Bud A : [y +a y+b y+elz+a z+b z+0C |
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Answer» it will be 0 |
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| 31. |
e s R 15० हैं. पेश किए पचास पति 20 Dy 1 0% 0578 11 wh kS B |
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Answer» If you like the solution, Please give it a 👍 |
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| 32. |
Let /be the subset of Z x Zdefined by j-function from Z to Z? Justify your answer.(ab, a + b):a, b e z). Isfa |
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| 33. |
ORA girl em,sties a cylindrical bucket, full of sand, of base radius 18 cm and height 32 cm, on thefloor to form a conical heap of sand. If the height of this conical heap is 24 cm, then find itsslant height correct upto one place of decimal. |
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| 34. |
2 sin axlim | â <xâ0{ sin bx |
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Answer» At x = 0, the value of the given function takes the form 0/0So we will diffrentiate itAcosax/bcosbxNow after putting limit It will be a/bPlease like the solution 👍 ✔️ yar dekh woh function yadh kar sinax/ax=1.then multiply ax/ax in numeretor and also bx/bx in denominator it will become in the form ax/bx cancel the x and result becomes a/b |
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| 35. |
lim┬(x→0) (sin ax/sin bx) ,a,b≠0 |
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| 36. |
, sin ax +bxlima,b,a+b*0 |
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Answer» thanks |
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| 37. |
29)Determine the value of a, b, c for which the function defined bysin(a + 1)x +sin xf(x):for x < 0; for x0, for x>0/2bxis continuous at x = 0 |
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Answer» Thank you. |
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| 38. |
! RN i S(sin┬о6+ рео2501-2sin? 4 cos?0> [GBSE 2015] 33, Prove that: |
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| 39. |
JI |
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Answer» 1/8!+1/(9*8!)=x/(10*9*8!)(9+1)/(9*8!)=x/(10*9*8!)10=x/10so x=100 |
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| 40. |
Lakshmi is a cashier in a bank. She has currency notes of denominations Rs 100, Rs 50and Rs 10, respectively. The ratio of the number of these notes is 2:3:5. The total cashwith Lakshmi is Rs 4.00,000. How many notes of each denomination does she have?53. |
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| 41. |
ax? +bx+c= ,a+b+c#0exÂŽ+bx+a . |
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| 42. |
Set of integers is denoted by:a) Nc) Zb) Wd) P |
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Answer» 1930's: N. Bourbaki used Z todenotetheset of integersand possibly popularized its usage. The letter stands for german word Zahlen which means numbers. Z is the right answer z is the right because integration is adding option A ) N is the correct answer z is the correct answer z is correct ans.......it is option A set of integers is denoted by (Z) the answer could be option c option (z) is the right answer c) z is the right answer of the following integers are denoted by z |
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| 43. |
(2) In the figure, □ABCD is a trapezium of area24.5 sq cm. Side AD | side BC, DAB=90°.AD- 10 cm and BC-4 cm. If ABE is a quadrantof a circle, find the area of the shaded region. |
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| 44. |
-x+1x2 +x +111.Ifx is real and k=, then(a) k e [1/3,3](b)k23(c) ks 1/3(d) none of these |
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| 45. |
2) In the figure, ABCD is a trapezium of area D24.5 sq cm. Side AD side BC, DAB 90,AD 10 cm and BC4 cm. If ABE is a quadrantof a circle, find the area of the shaded region. |
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| 46. |
ABCD is a parallelogram in which AB=8cm,AD=6cm and altitude AE=4cm.find the altitude corresponding to side AD |
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| 47. |
ABCD is a trapezium in which side AB is parallel to side CD.AB is 78cm and CD is 52cm.The non-parallel sides are AD and BC. AD is 28cm and BC is 30 cm.Find the area of the trapezium |
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Answer» How did you get 26-x |
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| 48. |
4. InABCD, side BC | side AD. Diagonals AC andBD intersect each other at P. If, thenprove that DPBP |
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Answer» Ap=1/3acdp=1/2bpis the right answer...... |
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| 49. |
(ax2 + bx + c)(x + 1) - (a³x² -bx + c)(x-1) |
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| 50. |
2. D is a on the on the side BCof AABC such that AD = AC.Show that AB > AD. |
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Answer» In Triangle DAC , AD = AC ( GIVEN ) so, angle ADC = angle ACD (ANGLES OPPOSITE TO EQUAL SIDES ARE EQUAL ) now, angle ADC is an exterior angle for triangle ABD so, angle ADC > angle ABD or , angle ACD > angle ABD or, angle ACB > angle ABC so, AB > AC ( SIDE OPPOSITE TO THE LARGER ANGLE IS LONGEST ) therefor AB > AD (AD =AC) |
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