Quantitative Aptitude in easy way

RATIO AND PROPORTIONS The number of times one quantity contains another quantity of the same kind is called the Ratio of the two quantities. The ratio 2 to 3 is written as 2:3 or . 2 and 3 are called the terms of the ratio. 2 is the first terms (is also called antecedent) and 3 is the second term (is also called consequent). COMPOUND RATIO Ratios are compounded by multiplying together the antecedents for a new antecedent, and the consequents for a new consequent.                                                                                                      a x c x e ·          Ratios  a:b,c:d, and e:f      Compounded of the four ratios :------------                                                                                         b x d x f a.        Find the ratio compounded of the four ratios:                                                                   4:3, 9:13, 26:5 and 2:15               

HCF means Highest Common Factor: HCF of two or more numbers is the greatest number that divides each of them exactly. We are going to practice question like first simple, little bit tuff and more tuff. Tuff means the question takes more time for calculation that’s it ok. I will give some tips for quicker calculation methods also. Ex. 1 Find the HCF of 42 and 70             42 = 2x3x7             70 = 2x5x7  HCF = 2x7=14                         Quicker method             70 - 42 =28             42 -28=14             28-14=14             14-14=0           HCF =14 Ex. 2 Find the HCF of 1365,1560 and 1755             1365=3x5x7x13             1560=2x2x2x3x5x13             1755=3x3x3x5x13      HCF=3x5x13=195 in this method we have to spend little bit more time  Quicker method          1560-1365=195             1755-1560=195           HCF = 195 HCF of decimals Rule first make (if necessary) the same number of decimal places in all g

Cubes of large numbers are rarely used. Here we are going to practice two-digit number.. First we have remember the cubes up to 10 1 3   = 1               2 3 = 8                3 3 = 27              4 3 = 64              5 3 = 125                                    6 3 = 216            7 3 = 343            8 3 = 512            9 3 = 729            10 3 = 1000 If two digit number starts with 1 like 11 12 13 14 15 16 17 18 19 to calculate the cubes of these Ex 1.      1 2 3   = Step I:              1   2   4 8 (double the previous ones)               ( 2x2=4 and 4x2=8) Step II:              4 8           (Step I middle numbers multiply with 2)                         (2x2=4 and 4x2=8) ADD Step I   and   Step II                         1 2 4 8                              4 8                            __________                           1 7 2 8   answer Ex 2.      1 6 3   = Step I:               1      6     36   216 (double the prev