A. 3 9/17 hours

B. 4.5 hours

C. 1.25 hours

D. 4 7/17 hours

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**ANSWER: A. 3 9/17 hours Solution: It is given that Pipe A,B and C work simultaneously.Pipe A and B are filling the tank and Pipe C is emptying it.In 1 hour volume of tank filled by Pipe A: 1/5thIn 1 hour volume of tank filled by Pipe B: 1/6thIn 1 hour volume of tank emptied by Pipe C: 1/12thWorking together Pipe A B and C fill x volume of tank.=>1/x = (1/5)+(1/6)-(1/12)=>x=60/17 hours**

A. 48 km/hr

B. 30 km/h

C. 60 km/hr

D. 40 km/hr

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**ANSWER: C. 60 km/hr Solution: Let the speed of the slower train be x m/sec.Then speed of faster train becomes: 2x m/secRelative speed =x+2x=3x (100+100)/8 = 3xx = 25/3 m/sec=>Speed of faster train= 2x=2*25/3 =50/3 m/secConverting into km/hr=>(50/3)*(18/5)=>60 km/hr**

A. 4 kmph

B. 6 kmph

C. 5 kmph

D. 8 kmph

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**ANSWER: C. 5 kmph Solution: Speed of the boat in still water: 15 km/hrSpeed of boat downstream: (15+x)km/hr where x is speed of the current.The boat travels 30 km downstream and then 30 km upstream and takes 9/2 hours.Total time= Time taken to travel downstream + Time taken to travel upstream=> 4/5= (30/(15+x))+(30/(15-x))=>x= 5**

A. x

B. 100/x

C. 100/x

D. 100x

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**ANSWER: B. 100/x Solution: Formula for Simple Interest: SI = Principal*Rate*TimeSI= xRate= x/100Time= x=> x= Principal*(x/100)*x=>Principal Amount= 100/x**

A. 32

B. 20

C. 27

D. 21

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**ANSWER: D. 21 Solution: Currently the mixture is in ratio of A/B: 7:5=> This means fraction of A in the solution: 7/12=> Fraction of B in the solvent: 5/12=>New concentration of A= 7-(7/12)9=>New concentration of B= 5-(5/12)9+x=> (7-(7/12)9)/(5-(5/12)9+x) = 7/9=>x=21**

A. abc

B. 1

C. 0

D. ab + bc + ca

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**ANSWER: B. 1 Solution: To solve this question you must remember that:Log**

A. 3

B. 1/3

C. 4/3

D. 1

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**ANSWER: B. 1/3 Solution: Volume of a sphere: (4/3)* π*r**

125, 106, 88, 76, 65, 58, 53

A. 88

B. 106

C. 125

D. 76

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**ANSWER: A. 88 Solution: This sequence represents a series in which from the reverse order a prime number is added:53+5=5858+7=6565+11=7676+13=8989+17=106106+19=125Hence 88 is the answer.**

A. 2

B. 3

C. 4

D Data Inadequete

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**ANSWER: C. 4 Answer: The equation for this problem can be made as:5x + 7y =38Where x is the number of watermelons and y is the number of pineapples.Now test for 2, 3 and 4:For y = 2 5x + 14 =38x is not an integerFor y = 3 5x = 17X not an integerFor y =4 X = 2So 4 pineapples and 2 watermelons can be bought by 38 Rs.**

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