A. 42 seconds

B. 30 seconds

C. 50 seconds

D. 36 seconds

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**ANSWER: B. 30 secondsSolution:Distance to be covered = 500 metresEffective speed will be equal to difference in the speed of ma and train as they move in opposite directions. Thus, effective speed = 63kmph-3kmph= 60kmph.60kmph is equal to 50/3 m/s.Time = Distance/ SpeedThus, time taken will be equal to 500/(50/3). On solving, time = 30 seconds.Therefore, the train will take 30 seconds to overtake the man.**

A. 18 days

B. 15 days

C. 22.5 days

D. 16 days

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**ANSWER: C. 22.5 daysLet us assume that Arnesh finishes his work in 1 day. According to the question, Bhanu will take 3 days to finish the same work. Therefore, there is a difference of two days between the two if Bhanu finishes the work in 3 days. If the difference is 60 days, then Bhanu will take 3/2 * 60 days, that is 90 days. Amount of work Bhanu does in 1 day = 1/90Amount of work Arnesh does in one day is thrice that of Bhanu, that is 3*(1/90)= 1/30Amount of work they do together is in one day is 1/90 + 1/30 = 2/45.Thus, they take total 45/2 days to complete the entire work. Therefore the answer is 22.5 days.**

A. 4:3

B. 3:4

C. 2:1

D. 1:2

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**ANSWER: B. 3:4Solution:Using the formula, speed=distance/timeSpeed of truck = 550/60 m/sSpeed of train= 33000/(45*60) m/sRatio of speed of truck to train= (550/60 ) / [33000/(45*60)]=3:4Hence, the ratio is 3:4**

A. 3100

B. 6240

C. 6000

D. 3500

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**ANSWER: B. 6240SolutionGiven market value = Rs 96Required income = Rs 650We assume the face value to be Rs 100. To obtain 10% of face value, investment had to be Rs 96. So, in order to receive Rs 650, required investment is:9.6*650=6240Thus the investment should be Rs 6240.**

A. 660

B. 620

C. 820

D. 780

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**ANSWER: B. 620Solution:Let price of one apple be A and price of one orange be B.According to question, 80A=120Bsolving, 2A=3BB=2A/3 equation 1Price of 60 apples and 75 oranges is Rs 1320. This can be represented as 60A+75B=1320Solving, 4A+5B=88Substituting for B from equation 1, 4A+5 (2A/3) =8812A+10A=88*3diving both sides by 2,6A+5A=44*311A=44*3diving both sides by 11,A=12B= 2A/3, B= 8Total price of 25 apples and 40 oranges= 25A+40BThat is 25*12+40*8, solving, 300+320Thus the total price is Rs 620. **

A. 4612

B. 4636

C. 3794

D. 3714

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**ANSWER: B. 4636SolutionLet the amount be Rs 100. Simple interest is Rs 80 as the 80% increase is due to simple interest. Rate of interest= 100 * SI%* timeSolving, rate= 100*80%*8= 10% per annumCompound interest on a sum of Rs 14000 after 3 years ar 10% rate :Amount = P(1+rate*100) * time= 14000 (1*10%)*3=18634CI= amount-P= 18634-14000=4636Therefore, the compound interest is Rs 4636.**

A. 2 years

B. 1 years

C. 3 years

D. 4 years

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**ANSWER: A. 2 yearsSolutionP= Rs 900Rate = 4.5*SI= Rs 81=> SI= Time*P*ratecalculating for rate,=> Time= SI/rate*P= 81/4.5%*900=> 2 yearsThus, it will take 2 years to yield Rs 81.**

Log

A. 1

B. 3

C. 10

D. 5

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**ANSWER: B. 3Solution: To solve this problem a logarithmic identity needs to be kept in mind:i.e. log**

1, 8, 27, 64, 125, 196, 216, 343

A. 64

B. 196

C. 216

D. 1

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**ANSWER: B. 196SolutionThe pattern in the given question is 1**

A. 42,33

B. 42,36

C. 44,33

D. 44,36

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**ANSWER: A. 42,33SolutionLet marks of one of the students be X.The marks of the other will be X+9According to question, X+9 = 56% of X+ (X+9)Solving, X + 9 = 56/100* (2X + 9)=> 25X + 225 = 28X + 126=> 3X = 99=> X = 33Marks of one are 33, while of the other are 33+9 = 42.**

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