4. The basic problem of students that they are unable to complete the number of problems IN TIME. Quantitative Aptitude
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6. Example The age of the father 3 yrs ago was 7 times the age of his son. At present the father’s age is five times that of his son. What are the present ages of the father and the son? Solution Let the present age of the son=x yrs the present age of the father=5x yrs 3yrs ago Son’s age=(x-3)yrs Father’s age=(5x-3) 7(x-3)=5x-3 7x-21=5x-3 x=9 So, Present age of Son=9 yrs Present age of Father=5*9=45 yrs
7. Example years Son’s age = The age of father 3 yrs ago was 7 times the age of his son . At present the father’s age is five times that of his son. What are the present ages of the son? Quicker Method Son’s Age = Solution So, Present age of Son=9 yrs Present age of Father=5*9=45 yrs
8. Example A sum of money doubles itself in 10 years at S.I. What is the rate of interest? Solution Let the sum be Rs x. After 10 years it becomes Rs 2x Interest = Rs 2x – Rs x = Rs x Rate = =10%
9. Example A sum of money doubles itself in 10 years at S.I. What is the rate of interest? Solution Quicker Method Time * Rate = 100 (Multiple number of Principal-1) 100 (Multiple number of Principal-1) Time Rate =
10. Example A sum of money doubles itself in 7 years. In how many years will it become four fold? Quicker Method Double in 7 years. Trebles in 14 years. 4 times in 21 years. 5 times in 28 years.
11. Example When A person covers the distance between his house and office at 50 km/hr, He is late by 20 min. But when he travels at 60km/hr, he reaches 10 min early. What is the difference between his house and office? Let the distance be x km. Time taken to cover x km at speed 50km/hr= Time taken to cover x km at speed 60km/hr= Difference between time taken=30 min Solution
12. Example When A person covers the distance between his house and office at 50 km/hr, He is late by 20 min. But when he travels at 60km/hr, he reaches 10 min early. What is the difference between his house and office? Quicker Method Reqd. Distance = x Prod. Of two speeds Diff. of two speeds Difference between arrival time Solution = 150km Reqd. Distance
13. Such type of Quicker Methods saves lots of time in solving the problems. One can complete the test IN TIME and with higher degree of ACCURACY. Quantitative Aptitude
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