SSC TRICKS FOR MATHS

10^(3x) = 125 THEN,  10^(-2x) = ? SOLUTION: 10^(3x) CAN BE WRITTEN AS {10^(x)}^3 AND 125 CAN BE WRITTEN AS 5^3 SO, {10^(x)}^3 = 5^3 POWERS ARE SAME ON BOTH THE SIDES WITH DIFFERENT BASE WE ONLY TAKE THE BASE i.e., 10^x = 5 SQUARING BOTH THE SIDES BUT PUT A "minus" SIGN WITH POWER {10^(x)}^(-2) = 5^(-2) THEN, {10^(x)}^(-2) CAN BE WRITTEN AS 10^(-2x) = 5^(-2) SO ANSWER OF 10^(-2x) IS 1/25 AS 5^(-2) IS 1/25

IF SAME NUMBER IS THERE IN A SERIES LIKE 88888 OR 9999 UP TO AS MUCH AS YOU CAN.... IF YOU WANT TO FIND THEIR SUM LETS TAKE AN EXAMPLE 8888+888+88+8=? WE START FROM THE LEFT MULTIPLY 8 BY 1, 2, 3 & 4. U WILL GET YOUR ANSWER THOSE NUMBER WHOSE ALL DIGITS ARE 9 (99)^2=9801 (999)^2=998001 (9999)^2=99980001 (99999)^2=9999800001 THOSE NUMBER WHOSE ALL DIGITS ARE 3 (33)^2=1089                   THOSE NUMBER IN WHICH ALL DIGITS ARE NUMBER IS 3 TWO OR MORE THAN 2 TIMES REPEATED, TO FIND THE SQUARE OF THESE NUMBER,WE REPEAT 1 AND 8 BY (n-1). WHERE n= NUMBER OF TIMES 3 IS REPEATED (333)^2=110889 (3333)^2=11108889 TO CHECK 401 IS A PRIME NUMBER APPROXIMATE SQUARE ROOT = 20 PRIME NO < 20 ARE 2, 3, 5, 7, 11, 13, 17, 19 401 IS NOT DIVISIBLE BY ANY OF THESE PRIME NUMBERS SO 401 IS A PRIME NUMBER.