SSC BANK JOB PREPARATION

               Percentage wise distribution of Topics For Tier-II                                            Compound Interest → The amount A due after t years, when a principal P is given on compound interest at the rate R% per annum is given by - 

Time and Distance The term times and distance area related to the speed of moving objects  Speed — We define the speed of an object as the distance covered by it in a unit time interval.  Speed =(Distance travelled)/(time taken) ⇒  Distance travelled = Speed × time  ⇒ Time =  Distance/Speed  Unit of measurement  If distance is measured in kilometer, we measure time in hours and speed is written as km/hr.  If distance is measured in meter, then time is taken in second and speed written as m/s  Conversion of unit 1 km/hr = (1000 mtr)/(60×60 seconds)=5/18 m/s 1 m/s =18/5 km/hr Ex. –   A train having length 500 m passes a pole in 30 second. Find the speed of a train (in km/hr)  ⇒Speed=Distance/time=500/30 m/s =500/30×18/5 km/hr  = 60 km/hr  Some useful short cut methods

Concept: The last digit of any power Last digit of any power follow a cycle pattern and repeat after a certain power at a time. From the above explanation it is clear that after the power of four number of digit will be same. So find out the last digit we divide the power of any number  by 4. Digit (d) d^2 d^3 d^4 d^5 1 1 1 1 1 2 4 8 6 2 3 9 7 1 3 4 6 4 6 4 5 5 5 5 5 6 6 6 6 6 7 9 3 1 7 8 4 2 6 8 9 1 9 1 9 0 0 0 0 0          v  The last digit of power  of 1  is always 1 v    The last digit of power of 2 repeat in a cycle of 4, 8, 6, 2 v    The digits of powers of 3 repeat in a cycle of 9, 7, 1, 3 v    The last digit of power of 4 repeat in a cycle of 6, 4 v    The last digit of power of 5 & 6 is always same. v    The last digit of power of 7 repeat in a cycle of 9, 3, 1, 7. v    The last digit of power of 8 rep

Concept – Divisibility of a number Divisibility by 2  — A number is divisible by 2 if the unit digit is zero or divisible by 2. Ex.  – 2, 4, 8, 16, 18 etc. are all divisible by 2. Divisibility by 3  — A number is divisible by 3 if the sum of digits of the number is divisible by 3.  Ex.  – if 43n25 is divisible by 3 then find the minimum value n Sol.  4+3+n+2+5 is divisible by 3  So n=1,4,7 Minimum value of n=1  Divisibility by 4  — A number is divisible by 4 if the number formed by the last two digits is divisible by 4 . Ex.  – 56248 is divisible by 4 since 48 is divisible by 4.  Divisibility by 5  — A number is divisible by 5 if unit’s digit is 0 or 5.  Ex.  – 1225, 13750, 245 etc. are all divisible by 5.  Divisibility by 7  — The unit digit of given number is doubled and then it is subtracted from the number obtained after omitting the unit digit.  If the remainder is divisible by 7 then the given number is also divisible by 7.  Ex.  -is  343 d