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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 : B. 144 A. 4 C. 12 D. 2
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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
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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: B. 3.5 kms A. 2.5 kms C. 4.5 kms D. 5.5 kms
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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
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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 : B. 3750 kms A. 375 kms C. 1500 kms D. 7500 kms
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Wrong Answer Correct answer is 1500 kms 37.5 X 40 = 1500 Next Question
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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 : B. 10.5 kg A. 10 kg C. 11 kg D. 11.5 kg
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Wrong Answer Correct answer is 11.5 kgs 35500-(90X100+100X150)=11500 gms Next Question
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5. If the radius of a circle is increased by 20% then the area is increased by : B. 120% A. 44% C. 40% D. 144%
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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
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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 B. 36 A. 120 C. 60 D. 24
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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
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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. B. 64 m A. 50 m C. 72 m D. 84 m
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Wrong Answer Length of AC can be calculated as follows: Next Question DF 2 =13 2 -12 2 =25 Or, DF=5, So, EC=30-9+5=16 BC 2 =16 2 +12 2 =400 Or, BC=20 Perimeter=13+30+20+9=72 metre
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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 B. 1:4 A. 1:2 C. 2:3 D. 3:7
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Wrong Answer Next Question 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
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9. If 3/p = 6 and 3/q = 15 then p - q = ? B. 2/5 A. 1/3 C. 3/10 D. 5/6
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Wrong Answer Solution: p=3/6 and q=3/15 So, p-q=3/6-3/15=3/10 Next Question
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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 B. 42 A. 36 C. 45 D. 48
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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
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11. If the area of two circles are in the ratio 169 : 196 then the ratio of their radii is B. 11 : 12 A. 10 : 11 C. 12 : 13 D. 13 : 14
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Wrong Answer Solution: Subduplicate ratio for 169 and 196 = 13 : 14 Next Question
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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 B. 2 : Π A. 1 : 2 C. Π : 8 D. 8 : Π
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Wrong Answer Solution: Area of semi-circle = Πs 2 /4X2 Area of square = s 2 Ratio = Π : 8 Next Question
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13. Which of the following is the greatest ? B. 3/5 of 25 A. 40% of 30 C. 6.5% of 200 D. 5 more than the square of 3
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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
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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 ? B. 30 minutes A. 20 minutes C. 45 minutes D. 60 minutes
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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
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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 ? B. 30 minutes A. 20 minutes C. 45 minutes D. 60 minutes
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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
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16. If the value of XYZ Company stock drops from $25 per share to $21 per share, what is the percent of the decrease? B. 8 A. 4 C. 12 D. 16
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Wrong Answer Solution: (4/25)X100=16% Next Question
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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? B. fb/t A. ft/b C. b/ft D. tb/f
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Wrong Answer Solution: As b feet casts a shadow of f feet So, 1 ft will cast a shadow of f/b feet So, t feet will cast a shadow of ft/b Next Question
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18. If x, y, and z are consecutive negative integers, and if x > y > z, which of the following must be a positive odd integer? B. (x-y)(y-z) A. xyz C. x-yz D. x(y+z)
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Wrong Answer Solution: Solve by assuming values for x, y and z -1, -2 and -3 or any value (-1+2)(-2+3)=1X1=1 Next Question
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19. At a certain ice cream parlor, customers can choose among five different ice cream flavors and can choose either a sugar cone or a waffle cone. Considering both ice cream flavor and cone type, how many distinct triple- scoop cones with three different ice cream flavors are available? B. 16 A. 12 C. 20 D. 24
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Wrong Answer Solution: There can be 10 combinations for one type of cone ABC, ABD, ABE, ACD, ACE, ADE BCD, BCE, BDE CDE Next Question
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20. What is the greatest value of a positive integer n such that 3n is a factor of 1815? B. 18 A. 15 C. 30 D. 33
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Wrong Answer Solution: Only option A has 5 as one of its factors so check with this option Next Question
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