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B. 144

1. A rectangle is 14 cm long and 10 cm wide. If the length is reduced by x cms and its width is increased also by x cms so as to make it a square then its area changes by :. A. 4. B. 144. C. 12. D. 2. Congrats!!. Correct Answer. Next Question. Wrong Answer. Correct answer is 4

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B. 144

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  1. 1. A rectangle is 14 cm long and 10 cm wide. If the length is reduced by x cms and its width is increased also by x cms so as to make it a square then its area changes by : A. 4 B. 144 C. 12 D. 2

  2. Congrats!! • Correct Answer Next Question

  3. Wrong Answer • Correct answer is 4 • To make length and width similar they need to be reduced and increased by 2 cms respectively. The area of original structure is 140 sqcm and that of changed structure is 144 sqcm. Next Question

  4. 2. A motorcycle stunts man belonging to a fair, rides over the vertical walls of a circular well at an average speed of 54 kph for 5 minutes. If the radius of the well is 5 meters then the distance traveled is: A. 2.5 kms B. 3.5 kms C. 4.5 kms D. 5.5 kms

  5. Congrats!! • Correct Answer Next Question

  6. Wrong Answer • Correct answer is 4.5 kms • He travels 54 kms in 60 minutes hence in 5 minutes he will travel (54/60)X5=4.5 kms. Next Question

  7. 3. If 1 cm on a map corresponds to an actual distance of 40 kms. And the distance on the map between Bombay and Calcutta is 37.5 cms., the actual distance between them is : A. 375 kms B. 3750 kms C. 1500 kms D. 7500 kms

  8. Congrats!! • Correct Answer Next Question

  9. Wrong Answer • Correct answer is 1500 kms • 37.5 X 40 = 1500 Next Question

  10. 4. A box contains 90 mts each of 100 gms and 100 bolts each of 150 gms. If the entire box weighs 35.5 kg., then the weight of the empty box is : A. 10 kg B. 10.5 kg C. 11 kg D. 11.5 kg

  11. Congrats!! • Correct Answer Next Question

  12. Wrong Answer • Correct answer is 11.5 kgs • 35500-(90X100+100X150)=11500 gms Next Question

  13. 5. If the radius of a circle is increased by 20% then the area is increased by : A. 44% B. 120% C. 40% D. 144%

  14. Congrats!! • Correct Answer Next Question

  15. Wrong Answer • Correct answer is 44% • In these types of question always square up the increased value of the given side to know the result. • (12X12)-(10X10)=44 (assuming original radius to be 10 cms) Next Question

  16. 6. Tom, Dick and Harry went for lunch to a restaurant. Tom had $100 with him, Dick had $60 and Harry had $40. They got a bill for $104 and decided to give a tip of $16. They further decided to share the total expenses in the ratio of the amounts of money each carried. The amount of money which Tom paid more than what Harry paid is A. 120 B. 36 C. 60 D. 24

  17. Congrats!! • Correct Answer Next Question

  18. Wrong Answer • Correct answer is 36 • Total money they had = 100+60+40=200 • Ratio of expense to Money = 120/200=60 • Tom’s share= 100X0.6=60 • Dick’s share = 60X0.6=36 • Harry’s share = 40X0.6=24 Next Question

  19. 7. A plot of land is in the shape of a trapezium whose dimensions are given in the figure. Find the perimeter of the field. A. 50 m B. 64 m C. 72 m D. 84 m

  20. Congrats!! • Correct Answer Next Question

  21. Wrong Answer Length of AC can be calculated as follows: DF2=132-122=25 Or, DF=5, So, EC=30-9+5=16 BC2=162+122=400 Or, BC=20 Perimeter=13+30+20+9=72 metre Next Question

  22. 8. Four concentric ( having the same center ) circles with radii, x, 2x, 3x and 4x are drawn to form two rings A and B as shown in the figure. Ratio of the area of inner ring A to the area of outer ring B is A. 1:2 B. 1:4 C. 2:3 D. 3:7

  23. Congrats!! • Correct Answer Next Question

  24. Wrong Answer Areas of four circles will be in the squared ratio of their radii as follows: 1:4:9:16 Ratio of Area of inner grey ring to that of inner circle = 1:3 Ratio of area of outer grey ring to that of inner circle = 1:7 (16-9=7) Required ratio = 3:7 Next Question

  25. 9. If 3/p = 6 and 3/q = 15 then p - q = ? A. 1/3 B. 2/5 C. 3/10 D. 5/6

  26. Congrats!! • Correct Answer Next Question

  27. Wrong Answer Solution: p=3/6 and q=3/15 So, p-q=3/6-3/15=3/10 Next Question

  28. 10. A father is three times as old as his son. After fifteen years the father will be twice as old as his son's age at that time. Hence the father's present age is A. 36 B. 42 C. 45 D. 48

  29. Congrats!! • Correct Answer Next Question

  30. Wrong Answer Solution: Options A, B, and D will result in odd numbers after 15 is added to them. So calculate on option C. Father’s current age = 45, So son’s current age = 15 After 15 years father’s age= 60 Son’s age = 30 This combination matches the condition Next Question

  31. 11. If the area of two circles are in the ratio 169 : 196 then the ratio of their radii is A. 10 : 11 B. 11 : 12 C. 12 : 13 D. 13 : 14

  32. Congrats!! • Correct Answer Next Question

  33. Wrong Answer Solution: Subduplicate ratio for 169 and 196 = 13 : 14 Next Question

  34. 12. A semi-circle is surmounted on the side of a square. The ratio of the area of the semi-circle to the area of the square is A. 1 : 2 • B. 2 : Π • C. Π : 8 D. 8 : Π

  35. Congrats!! • Correct Answer Next Question

  36. Wrong Answer Solution: Area of semi-circle = Πs2/4X2 Area of square = s2 Ratio = Π : 8 Next Question

  37. 13. Which of the following is the greatest ? A. 40% of 30 • B. 3/5 of 25 • C. 6.5% of 200 D. 5 more than the square of 3

  38. Congrats!! • Correct Answer Next Question

  39. Wrong Answer Solution: 40% of 30 = 12 3/5 of 25 = 15 6.5% of 200 = 13 5 more than square of 3 = 14 Next Question

  40. 14. Two identical taps fill 2/5 of a tank in 20 minutes. When one of the taps goes dry in how many minutes will the remaining one tap fill the rest of the tank ? A. 20 minutes • B. 30 minutes • C. 45 minutes D. 60 minutes

  41. Congrats!! • Correct Answer Next Question

  42. Wrong Answer Solution: Both taps take 20 minutes to fill 40% of tank One tap will take 40 minutes to fill 40% of tank It will take 60 minutes to fill remaining (60%) of the tank Next Question

  43. 15. Two identical taps fill 2/5 of a tank in 20 minutes. When one of the taps goes dry in how many minutes will the remaining one tap fill the rest of the tank ? A. 20 minutes • B. 30 minutes • C. 45 minutes D. 60 minutes

  44. Congrats!! • Correct Answer Next Question

  45. Wrong Answer Solution: Both taps take 20 minutes to fill 40% of tank One tap will take 40 minutes to fill 40% of tank It will take 60 minutes to fill remaining (60%) of the tank Next Question

  46. 16. If the value of XYZ Company stock drops from $25 per share to $21 per share, what is the percent of the decrease? A. 4 • B. 8 • C. 12 D. 16

  47. Congrats!! • Correct Answer Next Question

  48. Wrong Answer Solution: (4/25)X100=16% Next Question

  49. 17. If a building b feet high casts a shadow f feet long, then, at the same time of day, a tree t feet high will cast a shadow how many feet long? A. ft/b • B. fb/t C. b/ft D. tb/f

  50. Congrats!! • Correct Answer Next Question

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