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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. |
7. The sum of the series:5^{2}-43^{2}+44^{2}-42^{2}+43^{2}-41^{2}+42^{2}-40^{2}+till 15 terms is(a) 1982(c) 27562592(d) 2832 |
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Answer» we can write as 45² - 43² + 44² - 42² + 43² - 41² + 42² - 40² + 41² - 39² + 40² - 38² + 39² - 37² + 38² = (38² + 39² + 40² + 41² + 42² + 43² + 44² + 45² ) - (37² + 38² + 39² + 40² + 41² + 42² + 43²) = 44² + 45² - 37² = 45² + 44² - 37² = 1225 + (44 - 37) × (44 + 37) = 1225 + 7 × 81 = 1225 + 567 = 1792 No option |
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| 2. |
Example 1. At my house I am facingEast, then I turn left and walk 10 metres.I again turn right and walk 5 metres.Again I go 5 metres to the South and fromthere walk 5 metres to the West. In whichdirection am I from my house ? |
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Answer» when turned left direction is northagain turned right direction is eastnow to south then westhence you are in opposite direction of house |
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| 3. |
43%9195. I = Px RXT100Ar- RS 2000R = 10%.T = 5 year |
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Answer» do you want intrest I=P R T/100 = 2000× 10×5/100 =1000₹If you want amount thenAmount=principal+intrest = 2000+1000 = 3000₹ So ,SI = 2000×10×5/100 = 1000 SI=2000×10×5/100SI=$1000Reqd.Simple Interest =$1000 |
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| 4. |
circle.16. In the given figure, O is the centre of thecircle and TP is the tangent to the circle fromT=300, prove that[HOTS] [CBSE 2015]an external point T. If <PBBA : AT=2:1.30°A. |
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| 5. |
Evaluate : 3 3/40-43/320 3/5 |
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Answer» please like my answer if you find it useful thnx |
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| 6. |
0. Lorz2 usl |
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Answer» LET X = 0.6666… 10 x = 6.666… X = 0.666… 9 x = 6 x =6/9=2/3 |
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| 7. |
many days did he work?A car can cover a distance of 589km on 38 litres of petrol. How far would it travel on 16 litres of.13myG-S,qe_T9. |
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Answer» For this find distance covered in 1litre589/38=15.5km/LtHence in 16 litres =15.5*16=248km |
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| 8. |
The total area of the triangle below is 300 cm2. The area outside the circle is 221.5 cm?. What is the radius ofthe circle? |
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| 9. |
1 teCOS-e- tanIf cos 0ut consethen prove that tan-then prove that our(5) E-1 - ecosu |
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| 10. |
who is c.m. of Rajasthan |
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Answer» Ashok Gehlot will be the cm of rajasthan |
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| 11. |
6 (+172=2(x-3) |
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| 12. |
= ————— \ DA s el (M\\\a“mmk)- £C हा नल थेg o नै. ५००1 e, ककbe tusen, e I)E—L\,:ts Ae b(32) (== Ut :%,U iR i s |
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| 13. |
-81*quad*text %2B 172 |
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Answer» 1] (172)-(81) =91 2] (-14)+520 =506 172-81=91 -14-520=-534 a.+91b.-534 are the right answers |
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| 14. |
cos 52 + cos 68 + cos 172 |
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Answer» First of all cos 172 = -cos 8So now we have= cos 52 + cos 68 - cos 8 Applying Identity,cos A − cos B = −2 sin ½ (A + B) sin ½ (A − B) let's look at our cos 52 - cos8, here let's A = 52, B=8cos 52 - cos 8 = -2sin[60/2]sin[44/2]cos52 -cos8 = - sin 22socos 52 + cos 68 + cos172= cos52 + cos68 - cos8= cos52 - cos8 + cos68= - sin22 + cos68but by the complementary relationshipsin 22 = cos68 , (since 22+68 = 90)so finally= -cos 68 + cos 68= 0 |
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| 15. |
2c745° Cosec® 45° + 2(Sin60° + §1130°) = tan€ |
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Answer» sec 45= √2cosec = 45°=√2sin 30° = 1/2sin60= √3/2 |
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| 16. |
अभ्यासार्थ प्रश्नअकुशल श्रमिकों कोश्रमिकों के एक समूह का औसत वेतन रु. 10,000/- है तथाबाल श्रमिकों के समूह का रु. 15,000/- है। यदि उन समहों कान औसत वेतन रु. 12,000/- हो, तो कुशल श्रमिकों का प्रतिशत11.Ist Grade 2014(1130%2140 |
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Answer» let unskilled labour xtotal salary= 10000xskilled labour=ytotal salary = 15000ytotal salary of skilled+unskilled = 10000x+15000yA/S12000(x+y)=10000x+15000y12000x+12000y=10000x+15000y2000x= 3000yx/y=3/2x/3=y/2=k(let)x=3ky=2ktotal =5kskilled labour %l= 2k×100/5k = 40%unskilled labour %= 3k×100/5k = 60% 60 % is the right answer |
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| 17. |
U. 2018L. JURGu. 40 RS12. A 20 litre tub is full of milk. The amount of milk in the tubisa. 4 litresb. 8 litresc. 12 litresd.16 litresHots2. Raghav covered of the running track by walking and rest by running. If the length of thetrack is 630 m, then find distance covered by running. |
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Answer» In tub of 20 litre quantity. Milk present is only 2/5 of tub Then,Quantity of milk in tub= 20 * 2/5= 4*2 = 8 litres (b) is correct option |
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| 18. |
228Example 12: A child playing with building blocks, which areof the shape of cubes, has built a structure as shown inig. 13.25. If the edge of each cube is 3 cm, find the volumeof the structure built by the child. |
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| 19. |
A chord of length 30cm is drawn at a distance of 8em from the centreof a circle. Find out the radius of the cirele.2 Find the surface area of a sphere whose volume is 4851cm3 |
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| 20. |
13. Prove that opposite sides of a quadrilateralcircumscribing a cirele subtend supplementaryangles at the centre of the cirele |
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Answer» Thanks |
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| 21. |
2310(1) 172 175 =(i) (52) =(111)=(iv) 73.93= |
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Answer» i) 17^2 + 17^5 = 17^2+5 = 17^7 ii) 5^14 iii) 23^10-7=23^3 iv)( 7 x 9 )^3=63^3 |
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| 22. |
2310प्र.25- बराबर है-(A) 6750(C)745°(B)1080°(D)1035° |
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Answer» option C is the correct answer option c is correct answer Ans is 1035 degreeAs 23 pie by 4=1035 answer= 23÷4×180=1035° here put value of π180 instead of 3.14 then 23×180/4=1035 23 × 180/4 = 23 x 4 = 1035 1035 degree is the answer of the given questions |
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| 23. |
(3) a=1, b=-7(4) इनमें से कोई नहीं ।. If a+b+c=15 and a+b+c2=83. Then the value of a+b+c3-3abc is:(1) 71(2) 180| (3) 2310(4) 3604 Tाव टोपा | |
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Answer» Answer:2)180Explanation:Given: a+b+c=15 anda²+b²+c²=83 , To find :a3+b3+c3-3abca3+b3+c3-3abc = (a+b+c)(a2+b2+c2-ab-bc-ca) a3+b3+c3-3abc = 15[83-(ab+bc+ca)] a3+b3+c3-3abc = 15[83-71] a3+b3+c3-3abc = 15*12 a3+b3+c3-3abc = 180 |
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| 24. |
43. Find the compound interest on R 18750 in 2 yr the rateof interest being 4% for the first year and 8% for thesecond year.1. 23104. 24322. R 11305. 12853. 3120 |
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Answer» Explanation : Amount = Principal( 1 + Rate/100) For first year interest is 4% Amount = 18750×(1+4/100) = 18750×1.04 = 19500 Interest = 750 Amount will be Principal for 2nd year and interest for 2nd year is 8% So Amount = 19500×(1+8/100) = 19500×1.08 = 21060 Interest = 1560 Total interest = 750 + 1560 = 2310 Answer : 2310 If you find this answer helpful then like it. |
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| 25. |
Write functions of RBI |
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Answer» The functions of the Reserve Bank today can be categorized as follows: 1. Monetary policy 2. Regulation and supervision of the banking and non-banking financial institutions, including credit information companies 3. Regulation of money, forex and government securities markets as also certain financial derivatives 4. Debt and cash management for Central and State Governments. 5. Management's of foreign exchange reserves. |
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| 26. |
Find the length of the tangent drawn from a pointw hose distance from the centre of a circle is 25em. Given that radius of the cirele is 7em.a) 17 b)24 )19 d) 18 |
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Answer» The length of the tangent=√(25^2-7^2)=√(625-49)=√(576)=24 cm |
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| 27. |
' B4 it v ६,04६ ५1. 5 AotR 2 d4a0c, AB = AC and. H= SO JWflLl‘miX > |
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| 28. |
24. 3905x J? =284x22 में प्रश्नचिन्ह कामान है RBI (PO) 20121 |
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Answer» माना वह। x हेतब√x= 284*22/390.5√x= 16x= 256 |
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| 29. |
13.A book has 240 pages. Reema reads this book at the rate of 15 pages/day. How long will it takeReema to completely read this book? |
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Answer» 16 days ......... ........ |
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| 30. |
Il Reema wims inthat is 100 m wideshowher average speed and are velocity |
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| 31. |
The minute hand of a circular clock is 15 cm long. How far does the tip of thehand move in 1 hour. (Take πe minute17.314) |
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| 32. |
on that article.Reema obtained 18 marks in a test of 25 marks. What was her percentage of markes? |
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Answer» Total marks =25Marks obtained=18 percentage of marks=(18/25)*100%=72% |
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| 33. |
Reema was 69 kg 780 g in the month of January.After joining Yoga classes she reduced by 10 kg 695g. What is her weight now? |
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| 34. |
eiven igure, a cincle teuches at dher tet of a cuadrilateral ABCD whoetadius etd theACcircumscribes a circle Prove thatoänt of contact P bisects the base BCin the given figure, O is the centre ofwo concentric circles of radii 4 cmand 6 cm respectively. PA and PB areungents to the outer and inner circlenspectively. If PA -10 cm, find thekngth of PB up to one place of decimal.it h the given figure, a triangle ABCs drawn to circumscribe a circle ofadius 3 cm such that the segments80 and DC into which BC is divided5by the point of contact D, arlengths 6 cm and 9 cm respectively. Ifthe area of AABC 54 cm then findthe lengths of sides AB and ACl AQ is a chord of length 48 cm of adsde of radius 3 cm. The tangents at Pnd Q intersect at a point T as shownin the figure. Find the length of TPICBSE 2013c)& Prove that theline segment joining the points of contact of two paralielICBsE 2014joiningof a cirele, passes through its centre. |
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Answer» Please specify the question that needs to be answered |
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| 35. |
LN S G L R R B I e R8. 7 taps of the same size fill a tank in 1 hour 36 minutes. How long willtake to fill the tank? |
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| 36. |
Fig. 8.59: hove that the perpendicular at the point of contact to the tangent to a cirele passesthrough the centre of the circle. |
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| 37. |
4) The circle passes through the all vertices of a triangle is caled(a) circucircle (b)incircle (c)congruent cirecle (d)concentrie cirele |
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Answer» The circumcircle alwayspasses through allthreevertices of a triangle. Its center is at the point whereallthe perpendicular bisectors of thetriangle'ssides meet. This center iscalledthe circumcenter. |
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| 38. |
Prove that the cirele drawn with any side of a rhombus as diameter, passes throughthe point of intersection of its diagonals. |
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| 39. |
Draw a line segment AB of length 7 cm. Taking A as centre, draw a circle of radius 3 crmand taking B as centre, draw another circle of radius 2 cm. Construct tangents to eachcircle from the centre of the other circle. |
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| 40. |
%. Draw a line segment AB of length 8 cm. Taking A as centre, drawcircle of radius 4 cm and taking B as centre, draw another circleradius 3 cm. Construct tangents to each circle from the centre of t[CBSE 20other circle. |
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| 41. |
Drawa line segment AB oflength 8 cm.Taking A as centre, draw a circle of radius 4 crmand taking B as centre, draw another circle of radius 3 cm. Construct tangents to eachrele from the centre of the other circle. |
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| 42. |
9) Draw a line segment AB of length 8 cm. Taking A as centre, draw a circle of radius 4 cm and taking Bas centre, draw another circle of radius 3 cm. Construct tangents to each circle from the centre of theother circle. Give the justification of the construction. |
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| 43. |
4.9In the circuit shown below, voltage drop across5Ω resistance is10ΩWWW5 Ωww15 Ω-www1A60 Ω |
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Answer» 10,5,15,60 the voltage drop across 5 resistance |
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| 44. |
2. We suWWWWhat sum will earn an interest of 480 in 2 years at the rate of 3% per annum siminterest?102 |
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Answer» S.I. =P×R×T 6400 is the right answer 6400 is the right answer ANSWER IS 6400 of that statement |
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| 45. |
mple 1 : Rasheed got a playing top (laitu) as hisbirthday present, which surprisingly had no colour onit. He wanted to colour it with his crayons. The top is 5crmshaped like a cone surmounted by a hemispheresee Fig 13.6). The entire top is 5 cm in height andthe diameter of the top is 3.5 cm. Find the area he3.5 cmCEuLhas to Colour. (Take Ď--)Fig. 13.6 |
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Answer» Given:Height of the top= 5cmDiameter of the top= 3.5 cmTo find: Area Solution:Radius=r=3.5/2Surface area of hemisphere=2 phi r^2=2*(22/7)*(3.5/2)^2=19.25cm2Curved surface area of cone= phi*r*lheight of cone= height of top-radius of hemisphere=5-1.75=3.25cmhere l^2=h^2+ r^2l^2=(3.25)^2+(1.75)^2i^2=13.6225l=3.68cmcurved surface area of cone= phi*r*l22/7 *3.5/2 * 3.6=19.8cm2thereforesurface area of top= surface area of hemisphere + curved surface area of cone= 19.25+ 19.8=39.05Answer: area of top= 39.05cm2 |
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| 46. |
en a number line what is thedength & the line segnment joiningi) 3 unde -30 |
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Answer» on a number line the length of the line segment joining is -3 |
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| 47. |
DULU22. The degree of the polynomial (x3 + 7)(3 - x) is |
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| 48. |
19ENGL - N( 12 )SECTION - IIARITHMETIC TEDirections for every question, four probable answers as SAthese incorrect. Choose the correct answer and darken thenumber corresponding to the question.W41. Two wolid cubes of side 10 cm ench are joined 46.end to end. What is the volume of theresulting cubaid?(A) 500 cm (B) 2000 cmIC) 1000 cm (D) 10000 cm |
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| 49. |
Silnr coSx tan xIfClC'CIbc++is equal to |
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| 50. |
A total of 80,000 is to be distributed among 200 persons as prizes. A prize is either of Rs 500 orRs 100. Find the number of each prize. |
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