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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. |
2. From a bag containing 5 red, 8 black and 7 blue balls, a ball is selected at random. Findthe probability that:(i) it is not a red ball.(ithit is not a blue ball |
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| 2. |
(d) 5টি ক্রমিক সংখ্যার সমষ্টি 60 হলে, পরবর্তী 3টি ক্রমিক সংখ্যার সমষ্টি কত?The sum of 5 consecutive numbers is equal to 60, what is the sum of nextconsecutive numbers? |
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Answer» Let the integers bexx+1x+2x+3x+4.... x+9= 60 Thus, A = 5x+10 sum of last 5 terms = 5x + 35 = 5x + 10 +25 = 60+25= 85 |
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| 3. |
what will come next ACE;BDF;CEG find |
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Answer» Next word will beDFHas all are following the alphabetical orderof ABCD,,,, |
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| 4. |
15 chairs were purchased for a hotel by the owner for5600+. Find the cost of one chair. |
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Answer» 373.333 is the right answer. 373.333 this is really right answer 373.333 is the correct answer of the following question |
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| 5. |
f.Name the property involved in the following exan |
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Answer» This is called the Commutative Property. it is additive identity |
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| 6. |
hotel had 80 guests. of them were women and the rest were men. How mawere staying' in the hotel? |
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Answer» total guests=80no. of women=2/5×80=32no. of men=80-32=46 |
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| 7. |
13. The rent of a room in a hotel for a week is Rs 2625.If Ritu stayed in the hotel for the whole ofSeptember, then how much did she pay |
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Answer» hsidygeghdydtdtffcvcvhjjgv vcgvchxgcc |
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| 8. |
The cost prace of an inverter is Rs.10. 800.00 and the profit on selling price is tOr What s theseWing price of the invertera) Rs. 11880 130ic) Rs. 12.00000(b) Rs. 13200 00(di Rs 10o00oo0 |
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Answer» SP is 11880Ans:(a) Rs.11880.00 CP of inverter=10800profit percent=10%profit=(10/100)*10800=1080SP=CP+profit=10800+1080=11880 thanx |
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| 9. |
Example 7.26The angle of elevation of an aeroplane from a point A on the ground is 60 . After aflight of 15 seconds horizontally, the angle of elevation changes to 30. If the aeroplane isflying at a speed of 200m/s, then find the constant height at which the aeroplane is flying |
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| 10. |
26. Three gamblers A, B and C brought a bag containing 8, 11 and 23 marbles of red, green andblue colours respectively. They do not know the exact number of marbles of each colour. What is theprobability of not getting a green marble ? The Gamblers are betting for marbles of red, green and blue |
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Answer» Red = 8 Green = 11 blue = 23 Total no. of marbles = 8+11+23 =42 Number of non green marbles = 42-11=31 P(not getting green marble) = 31/42 |
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| 11. |
b) 5 67 0483*3 03 399 7 |
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| 12. |
i) For an A.P, first term is -7 and the last term is 53. If the sum of all the terms is 483,then find the number of terms and the common difference. |
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| 13. |
8)workers9) If a total sdldlyuworkers in a factory, how much doeach worker get, assuming all workget equal amounts?9Hoveteam10) Find the number, which when divide36 gives 92 as the quotient and 17the remainder11) Write the next 5 triangular numbers thcome after number 6. |
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Answer» 10)36*92+17=3312+17=3329 |
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| 14. |
483 - 4807 - 13250 %2B 37542 |
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| 15. |
An aeroplane flying horizontally at a height of 2500 metre above the ground is observe at an elevation of 60degree. If after 15second the angle of elevation is observed to be 30degree find the speed of the aeroplane in km per hour. |
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Answer» Let B & D be the two positions of the plane and let A be the point of observation. Let ABE the horizontal line through A. It is given that angles of elevation of the plane into positions B and D from a point A are 60 °and 30°. Angle BAC = 60° , angle DAB = 30° In ∆ ABC tan 60 °= BC/AC = 2500/AC √3 = 2500/AC AC = 2500/√3 IN ∆ AED tan 30° = ED/AE 1/√3= 2500/AE AE= 2500√3 BD = CE CE= AE-AC BD = 2500√3 - 2500 /√3 BD = 2500 ( √3 - 1/√3) BD = 2500 ( √3×√3 - 1)/√3 BD = 2500 (3-1)/√3 BD =( 2500 ×2)/√3 BD = 5000 /√3 m BD =( 5000/ √3 ) × 1/1000 km BD = 5/√3 km ( Distance) Plane travels 5/√3 km in15 sec Time = 15 sec (given ) Time = 15/3600= 1/240 hr Speed= Distance/time Speed=( 5/√3) / (1/240) Speed = 5/√3 × 240 Speed = (5 × 240)/1.732 [ √3= 1.732] Speed= 1200 /1.732 Speed = 692.84 km/h Hence, the speed of the aeroplane in km/h is 692.84 km/h. |
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| 16. |
Find the largest 4-digit number which is exactly divisible by 89. |
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| 17. |
Eggs cost lcets from Moregaon to Sonagarh cost Rs 720How much will 10 tickets cost? |
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Answer» 1 tickt cost = 720/4 = 180 rupees 10 ticket costs = 180*10 = 1800 rupees |
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| 18. |
1) A tower in a city is 150m high and a multi storeyed hotel at the city centre is 20m high. The angle ofelevation of the top of the tower at the top of hotel is 30". A building h m high, s situated on the straightroad connecting the tower withs the city cernre at a distance of 200m from the tower. Find the value of h, ifthe top of the hotel and top of the building and top of the tower are in straight line. Also, find the distanceof the tower from the city centre. |
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Answer» Let the tower be AB ,hotel be EF and building be CD . AB= 150m ,EF= 20m ,CD = h , BD = 1200m Let DF = Xm PE= BF= BD + DF = (1200+X)m In triangle APE tan angle AEP =AP /PE tan 5 °= AP/PE AB -PB / BF = tan 5° AB-EF /BD + DF = tan 5° 150-20/1200+ X = tan 5° 130/ 1200+X = 0.0875 130=( 1200+X )(0.0875) 130 = 150 + 0.0875 x X = 25/0.0875 X= 286 (approx) Now in triangle CQE , CQ= CD-DQ= h - EF = h- 20 Also , CQ / QE = tan 5° h- 20 =286 × 0.0875 h-20=25 h = 45m Distance of the tower = BD + DF BD + QE 1200 + 286 = 1486 m ( approx ) |
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| 19. |
47. /1f4x = cosec θ and 으 = cot θ then find the value of 41 x |
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| 20. |
13. lia man wants to sell his hand-cart tor Rs 720, he would lose 25% How much he should sell itfor to gain 25%? |
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Answer» when S.P.=720 loss is 25%when profit is 25% S.P. is=?C.P.-720=0.25C.P.so 0.75C.P.=720so C.P.=960now S.P.-960=960×0.25so S.P.=1.25×960so S.P.=1200 |
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| 21. |
Find the value of |7| x |-41 |
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Answer» |7|x|-4|= 7*4= 28thanks |
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| 22. |
The number decreased by 7 is 25, find the number. |
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Answer» let the number be xx-7=25×=25+7×=32 X=32 is right answer........ let the number be x, x-7=25x=25+7x 32 32 is the correct answer of the given question is 32 is the correct answer of the given question Let the number be 'x' X - 7 = 25 X = 25 + 7 X = 32 Ans = 32 the ans let the no be x=7-x=25=x=25+7=x=32 32 is the right answer |
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| 23. |
Which number decreased by 3.7% becomes 483 ? |
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Answer» Let the number be x.3.7% of x=(3.7/100)× x=(37/1000)x=>x -(37/1000)x=483=>(1000-37)x/1000=483=>963x/1000=483=>x=(483×1000)/963=501.557 hence, the required number is 501.557. but, answer is 500 here the answer is taken to be an approximate value '500' ok thnx |
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| 24. |
Which number decreased by 3.7 becomes 483? |
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Answer» let the Number be x so x-3.7 = 483so x = 483 +3.7 = 486.7 No...Answer is 500 Right question is:which number decreased by 3.7% becomes 483. sorry for wrong question |
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| 25. |
1.A number decreased by 12 is 50. Find the number |
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Answer» Let the number be x According to question x - 12 = 50 x = 12 + 50 x = 62 So, the number is 62 |
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| 26. |
Lalitha took a parcel from a hotel to celebrate her birthday with herfriends. It was billedwithて1.450 including 5% VAT. Lalitha asked for some discount, the hotel owner gave3% discount on the bill amount. Now find the actual amount that lalitha has to pay to thehotel owner13. |
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| 27. |
n aeroplane fying horizontally at a height of 1.5above the grond is oerved at a certain point on theearth to suhtend an angle of 60 Afer 15 seconds, isangle of elevation is ofserved to be 30 calculate thespeed of aero plane in kmhr. |
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Answer» [IN DIAGRAM, BC = ED = 1500 m. It is not 2500m. It is an error. I regret for the inconvenience] In ∆ABC,cot 60° = AC/BC=> 1/√3 = AC/1500=> AC = 1500/√3 ....(i) In ∆AED,cot 30° = AE/ED=> √3 = AE/1500=> AE = 1500√3 ....(ii) From figure,BD = CEand, CE = AE - ACso, BD = AE - AC Now, substituting value of AE and AC from equations (i) and (ii),BD = 1500√3 - 1500/√3= 1500 (√3 - 1/√3)= 1500 × 2/√3BD = 3000/√3 BD is covered by the aeroplane in 15 seconds. So,Speed of Aeroplane = Distance (BD) ÷ Time (t)= 3000/√3 ÷ 15 m/sec= 3000/ (15 × 1.732) m/sec= 115.473 m/sec Hence, speed of the aeroplane is 115.473 m/sec |
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| 28. |
TFincichthethethelargestlarg exactly4digit numberOdivizible byiswhich327? |
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Answer» 9810 is the largest 4 digit number divisible by 327 327×30 =9810 9810 is the largest 4 digit number divisible by 327 327×30=9810 is the correct answer 327×30 =98109810 is the largest 4 digit number divisible by 327 9810 is thecorrect answer. 3 2 7 x 3 2 7 = 1 0 6 929 correct answer of the following question 9810 9810 is the correct answer of the given question 9810 is the best answer of the question 9810 is the largest 4 digit number divisible by 327 327×30=9810 is the correct answer the best answer is 9810 The best answer is 9810. |
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| 29. |
13. Lalitha took a parcel from a hotel to celebrate her birthday with her friends. It was billedwith ?! ,450 including 5% VAT, Lalitha asked for some discount, the hotel owner gave8% discount on the bill amount. Now find the actual amount that lalitha has to pay to thehotel owner |
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| 30. |
a cycle is sold 16%profit.had it been sold rs.35/-more the profit would have been 20%,what is the vost price? |
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Answer» Difference in the gain % = 4%. If 4% = 35 Then 100% = ? = 35/4 * 100 = 35*25=875 Cost price of the bicycle = 875 rs. |
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| 31. |
A rickshaw is sold at a gain of 10%. Had it been sold for Rs 720 more, the profit would have 16%. Find its cost price. |
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Answer» thank you |
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| 32. |
2. Study the pattern in the following multiplications. Extend it to two moreproducts.Ilx11 = 12121 x 21 = 44131x31 = 96141 X 41 = 1681 |
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Answer» 51×51=260161×61=3721 ans. 51*51=260161*61=3721 26013721 is the correct answer 441-121 is equal to320,121+320 is equal to441,. 441+520 is equal to961,. 961+720 is equal to 1681. 1681+920 is equal to2601,. 2601+1120 is equal to 3721 |
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| 33. |
Three more than twice a number isequal to less than the number. Findthe number. |
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Answer» let the number be x2x+3=x-4x=-7 |
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| 34. |
Find the square root of each of the following numbers by Division method.0 2304(v) 3249(ix) 576(ii) 4489(vi) 1369(x) 1024(ii) 3481vi) 5776(xi) 3136(iv) 529(vii) 7921(xii) 900 |
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| 35. |
Find ratio between SI, and C.1. on a sum of money invested for 3 years at 5% rate of interest per annum ?A. 15:126161 .B. 151:156C. 121:441B. 1200:1261E. 121:484 |
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| 36. |
A number decreased by 4 is equal to -6. Find the number. |
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Answer» let the number be xx-4 = -6sox = -6 +4x = -2 |
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| 37. |
9.In triangle ABC, right-angled at B, iftan A, find the value of:0 sin A cos C+ cos A sin C(i) cos A cos C - sin A sin C |
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Answer» sin(A+B) = sinA.cosB + cosA.sinB cos(A+B)= cosA. cosB - sinA.sinB Given: tanA=1/√3 A=30° since B is right angle, C=60° Now, sinA.cosC + cosA.sinC =sin(A+C) =sin(30°+60°) =sin90° =1 cosA.cosC - sinA.sinC =cos(A+C) =cos(30°+60°) =cos90° =0 |
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| 38. |
Preeti went to a shop to buy a dress. Its marked price is? 2500, Shop owner gave 5% discounton it. On further insistence, he gave 3% more discounL what will be the final discount sheobtained? Will it be equal to a single discount of890? Think, discuss with your friends and rite |
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| 39. |
14, A tricycle is sold at a gain of 15%. Had it been sold for08 more, the profit would havebeen 20%. Find its cost price. |
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| 40. |
14 A tricycle is sold at a gain of 15%. Had it been sold for108 more, the profit would havebeen 20%. Find its cost price. |
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| 41. |
(3) Be, total nno, grond (-5 t be multiplied toge So that the holutt |
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| 42. |
The number of people who visited games village during common wealth games in NewDelhi for the first four days was recorded as 15,290; 14,181; 14,235 and 10,578. Findthe total number of people visited in these four days? |
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Answer» Total number of people visited games village in four days = 15290 + 14181 + 14235 + 10578 = 54284 |
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| 43. |
swer write It aionIits arpiiagIf the 7th and 13th term of an Arithmetic progression are 34 and 64 respectivelythen the common difference isA). 5B) 10c) 17D) 32 |
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| 44. |
V3Therefore, 16 = 2.52 correct to 2 decim225(ii) 1764(vi) 4225Exercise 8.31) Find the square root of the following.121529225168167627044225270427043364102472254624441(vii) 1681(viii)(xi) 1725(xii) 3316961(xiii) 22.10(xiv) 205449(xv) 10425 |
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Answer» 1)6/72)11/153)23/424)41/525)26/656)65/527)41/328)52/859)58/68 1)6/72)11/153)23/424)41/525)26/656)65/527)41/328)52/859)58/68 i) 6/7, ii) 11/15, iii)23/42 , iv)41/52, v)26/65, vi)65/52, vii)41/32, viii)52/85, ix)58/68, x)21/31, xi)21/5, xii)23/4, xiii)33/7, xiii)43/3;, 1.6/72.11/153.23/424.41/525.26/656.65/527.41/328.52/859.58/68 |
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| 45. |
7. Find X id Y, if17 0(i) X + Y =22 55x+y=[23].xv{and X-Y12andL0 315237(ii) 2X +3Y EL and 3 X + 2Y =24 OJ5) |
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| 46. |
there are 30 children in a class. An equal number of children sit in 5 rows |
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Answer» Total number of children = 30No. of children in each row = 30/5 = 6 children No.of student = 30No. of rows = 5 No.of student sit in each rows = 30/5The answer is 6 6 student sit in each rows |
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| 47. |
The following table given the number of children of 150 families in a village :No.of children 0 1 2 3 4 5No.of families 10 21 55 42 15 7Find the mean number of children per family. (AS-1) |
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| 48. |
5. 32% of an audience is children. If there are 512children in the hall, how many people are there inall? |
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| 49. |
Factorise : दर - किA (- 00° + x5+ P)x + 3 - दाल + VNS + प्रटी = अप + "‘.‘)B (x+ कि -xy + \“‘lx + I -y + फर e + V)' -7 + YC. ( +0° + 2y - y)x + 0 —xv + P)E = 1)हा |
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| 50. |
sohan the toy shop owner sold two tricycle at the same price. each one was sold rupees 8200 on one he made a profit of 10% and on the other he lost 12%what was the cost of each of the cycle |
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Answer» one bicycle is 7454.55 and the other is 9318.18 Step-by-step explanation: consider 2 cycles let us name A and B for A cycle sp is 8200 profit is 10 percent by formula cp=(sp/ (100+profit))*100 =(8200/(100+10))*100 7454.55 similarly for B cycle loss is 12 percent cp=(sp/ (100-loss))*100 =(8200/(100-12))*100 =(8200/88)*100 =9318.18 ans the correct answer is 9318 1st tricyclecp. sp100. 110x(let). 8200110x= 8200×100x= 8200×100/110 = 7454.55₹ (approx)2nd tricyclecp. sp100. 88y(let). 820088y= 100×8200y= 100×8200/88 = 9318.18₹ (approx)1st tricycle cost = 7454.55₹2nd tricycle cost= 9318.18₹ 9318 answer to your question I hope that my answer helped u in doing ur work |
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