33. The lengths of two sides of a triangle are 7 cm and 4 cm respectively.The length of the third side is –[BKB – (CASH ) -2017] A. greater then 3cm B .less then 3cm C. equal to 3 cm D. all are true •Solution: (A) ত্রিভুজের যে য োন দুটি বোহুর সমটি তোর তৃতীয় বোহু অজেক্ষো বৃহত্তর হজত হজব। এখোজন ৭ এবং ৪ এর বযবধোন ৩ সুতরোং অের বোহুটি অবশ্যই ৩ এর যেজ বড় হজত হজব। তোই উত্তর: third side should be greater than 3. 34. Consider that w + x = - 4, x + y = 25 and y + w = 15. Then the average of w, x, y is - [BKB – (CASH ) - 2017] A.3 B.4 C.5 D.6 •Solution: (D) W+x+x+y+y+w=-4+25+15 Or 2w+2x+2y=36 Or 2(w+x+y)=36 Or w+x+y=36/2=18 So average of w,x,y=18/3=6 35. How long will it take for an amount Tk. 450 to yield Tk. 81 as interest at 4.5% per annum of simple interest -[BKB – (CASH ) -2017] A.4 years B. 4.5 years C.5 years D. 5.5 years •Solution: (A) ১ বছজরর সুদ = ৪৫০ এর ৪.৫% = ২০.২৫িো ো। তোহজে ৮১ িো ো সুদ হজত সময় েোগজব ৮০/২০.২৫ = ৪ বছর। 36. Club A has 20 members and Club B has 27. If a total of 42 people belong to the two clubs, how many people belong to both clubs? [BKB – (CASH ) -2017] A.3 B. 4 C.5 D.6 •Solution: (C) Here Total =42 But 20+27 = 47 So, Both is = 47-42 = 5 37. Today is Aziz's 12th birthday and his father's 40th birthday. How many years from today will Aziz's A father be twice as old as Aziz’s at that time? [BKB – (CASH ) -2017] A.12 B.24 C.18 D.16 •Solution: (D) Let after x years Aziz’s fathers will be double So, 2(12+x) = 40+x Or, 24+2x = 40+x So, x = 16 38. If 61% of Bangladeshi people like cafe, and 74% like tea, how many like both? [BKB – (CASH ) -2017] A 13% B. 16% C. 26% D.35% •Solution: (D) (61-74)%-100% = 35% 39. A grocer buys some eggs at Tk. 3 each. He finds that 12 of them are broken, but he sells the others at Tk. 4 each and makes profit of Tk. 96. How many eggs did he buy? [BKB – (CASH ) -2017] A. 140 B. 142 C. 144 D. 150 •Solution: (C) Let, The grocer buys = x eggs ATQ, 4(x-12)-3x = 96 Then, x = 144 40. What is the original price of a T-shirt, if the sale price after 16% discount Is 264? [BKB – (CASH ) -2017] A. 300 B. 214 C. 320 D. 314 •Solution: (D) 84% = 264 So, 100% = 314.29 or 314 41. The present ages of John and Mary are In the ratio of 6 : 4 . Five years ago their ages were in the ratio of 5 : 3. How old is John now? [BKB – (CASH ) -2017] A. 42 B. 36 C.30 D. 24 •Solution: (C) 6x-5:4x-5 = 5:3 Or, 20x-25 = 18x-15 So, x = 5. John now is 65 = 30 42. A man buys doughnuts at the rate of Tk. 35 per 100 pieces and sells them at Tk. 7.20 per dozen. If the profit is Tk. 30, how many doughnuts did he buy? [BKB – (CASH ) -2017] A.60 B.120 C.180 D. 210 •Solution: (B) Cost price of one doughnuts = 35/100 = 0.35 Selling price of one ‘’ = 7.20/12 = 0.6 tk Profit in one doughnuts = 0.6-0.35 = 0.25tk So. Total doughnuts = 30 / 0.25 = 120 43. If y% of x = 29, then x = ? [BKB – (CASH ) -2017] A. 2900/y B. 29x/y C. 29y/x D.29xy •Solution: (A) y% of x=29 So x=29*100/y=2900/y 44. How many tangents (স্পশ্ শ ) to a circle can be drawn from an external point? [BKB – (CASH ) -2017] A.1 B.2 C.3 D.4 •Solution: (B) বৃজত্তর বহহ:স্থ য োন হবন্দু যেজ ঐ বৃজত্ত দুটি মোি স্পশ্ শ অং ন রো সম্ভব। 45. The one-third of the complementary (Supplementary) angle to 30° is -[BKB – (CASH ) -2017] A.1500 B.1000 C.500 D.100 •Solution: (C) Supplementary angle to 30 is 180-30 = 150 whose one third is 50 46. If the area of a rhombus is 54 sq. cm and the length of one of the diagonals is 6 cm then the length of the other diagonal is -[BKB – (CASH ) -2017] A. 18 B. 12 C. 9 D. 6 •Solution: (A) Area of rhombus is ½(x*6) = 54 or 3x = 54 So, x = 18 47. If one number exceeds another number by 14 and the larger number is times the smaller number, then the smaller number is -[BKB – (CASH ) -2017] A. 13 B. 26 C. 28 D. 31 •Solution: (C) 3/2 = 1.5 Let small number is x, so large number is 1.5x ATQ, 1.5x-x = 14 or. 0.5x = 14 so, x = 28 Alternative solution: let large 3x and small 2x So 3x-2x=14 Or x=14 So smaller=2*14=28 48. The ratio between two numbers is 3:4 and their sum is 420. The greater one of the two numbers is -[BKB – (CASH ) -2017] A. 360 B.240 C 180 D 120 •Solution: (B) If the number is 3x and 4x then 3x+4x =420 or 7x =420 so x = 60 so the greater number is 460 = 240 49. If 4^x+1=32, then x =? [BKB – (CASH ) -2017] A. 2 B.3 C.2/3 D.3/2 •Solution: (d) 4^x+1=32 Or, 22(x+1) =25 = or, 2x+2 = 5 or 2x = 3 So, x = 50.log root 3^81 [BKB – (CASH ) -2017] A. 9 B.7 C.6 D. 8 •Solution: (D) 51. What will be the difference between simple and compound interest at 10% on a sum of Tk. 1000 after 4 years? [BKB – (CASH ) -2017] A.Tk.31.90 B. Tk. 32.10 C. 44.90 D. Tk. 64.10 •Solution: (D) Formal Solution: simple interest=1000*10*4/100=400 tk 10%=1/10 So compound=1000*(1+1/10)^4-1000 =1000*(11/10)^4 -1000 =1000*11*11*11*11/10*10*10*10 -1000 =1464.1-1000 =464.1 So difference=464.1-400=64.1 ===================== 52. If A's income is 25% less than that of B, then what percent is B’s income more than that of A? [BKB – (CASH ) -2017] A. 33.33 B. 66.67 C.11.67 D. 31.50 •Solution: (A) let B income 100 So A’s income=75 So B’s income more than A in %= 25*100/75=100/3=33.33% 53. After a 20% price decrease, a computer monitor is on sale for Tk. 7200. What is its original price? [BKB – (CASH ) -2017] A.Tk. 9000 B. Tk. 10000 C. Tk. 11000 D. Tk 12000 •Solution: (A) 80% = 7200 S, 100% = 9000 54. The numbers 2, 3, 5 and x have an average equal to 4. What is the value of x? [BKB – (CASH ) -2017] A.4 B. 6 C8 D.10 •Solution: (B) Total = 4*4 = 16 Other number is 16- (2+3+5) = 6 Alternative solution: 2+3+5+x=44 Or 10+x=16 Or x=16-10 Or x=6 55. If 15 is the 6th number in a series of 6 consecutive odd numbers what is 4th number in the series? [BKB – (CASH ) -2017] A. 7 B. 9 C. 11 D. 13 •Solution: (C) The series is 5, 7, 9,11,13 and 15 So 4th number is 11 56. How many permutations of seven different letters may be made? [BKB – (CASH ) -2017] A. l B. 7 C 7! D.6! •Solution: (C) number of permutations=7 factorial or 7!