## Saturday, March 29, 2014

### MATHS SHORTCUT TRICKS FOR EXAM

MATHS SHORTCUT TRICKS FOR EXAM

PERCENTAGE CHAPTER MATHS TRICKS

Basically on previous article we provide the profit and loss and work and time tricks now, we are provide percentage chapter of maths that is very useful in all exams and 8-10 no. of question are asked from that chapter.

With the help of percentage tricks we can apply is to the various form like ratio, profit loss, time and distance, graphs, pie chart etc these are basically are the form of percentage and if you clear the basic concept it will be beneficial in many ways.
so, first what is percentage

DEFINITION
percentage is a number or ratio expressed as a fraction of 100.

if we have to convert percentage into fraction than it is divide by 100.
Example 1 :- if we write 45% then its equal to 45/100 or in fraction 9/20 or in decimal 0.45

if we have to convert fraction into percentage we have to multiple with 100.
Example 2 :- if we write 3/5 in fraction it is equal to 60%
3/5x100=60.

READ AND LEARN FOLLOWING TABLE as also known as conversion table of percentage. Learn this table it help you a lot to solve many problem.

the following fraction in red colour are MOST IMPORTANT.

 Fraction Percentage 1/1 100% 1/2 50% 1/3 33.33% 1/4 25% 1/5 20% 1/6 16.66% 1/7 14.28% 1/8 12.5% 1/9 11.11% 1/10 10% 1/15 6.66% 1/20 5% 1/25 4% 1/30 3.33% 1/40 2.5% 1/50 2% 1/60 1.66% 1/75 1.33% 1/80 1.25% 1/90 1.11% 1/100 1%

by this conversion table we can change fraction into percentage and percentage into fraction

EX:- if we have to find 2/5 in %?
In the table we know that 1/5=20%
then, if we multiply both by 2
then we have 1/5x2 = 2x20%
so, you only to know basic fraction and percentage that given above.

in the inverse
Ex. If we have to find out 1/15 fraction in percentage%?
In the table we have 1/5 = 20%
then both side multiple by 1/3
we get 1/15 = 6.66%

SOME BASIC QUESTION THAT IS ALWAYS ASKED IN THE EXAMS
TYPE 1.
if there is increase of X% and subsequently X% decrease then there is always loss / decrease in the condition.

ex. If rohan salary is increase by 50% and subsequently decrease by 50%. How much percentage loss?

ans. By trick ----  50x50/100= 25% decrease/loss

TYPE 2.
if A is P% more than B. then B is less than by A
with P/(100+P)x100

ex. If radha earning is 25% more than sita. Then sita earning is how many percentage less then by radha?
ans. By trick ---- 25/(100+25)x100=20%

TYPE 3.
If A is P% less than B. then B is more than by A
with P/(100-P)x100

ex. If golu age is 20% less than gita than gita age is how many percentage more than golu?
ans. By trick ---- 20/(100-20)x100=25%

TYPE 4.
if there is p% increase in price . how much % decrease his consumption so that his expenditure on it does not change.
formula P/(100+P)x100

ex. If petrol price increase by 25%. How much percentage a person reduced his consumption so that his expenditure on it does not increase?
ans. 25/(100+25)x100=20%

TYPE 5.
if there is p% decrease in price . how much % increase his consumption so that his expenditure on it does not change.
formula P/(100-P)x100

ex. If there is 30% decrease in eggs price. How much a person increased his consumption so that his expenditure on it does not increase?
ans. 30/(100-30)x100=42.85

TYPE 6.
Ex. If suman need 36% minimum mark to passed a exam but she score 24% mark and fail by 9 marks. What is the total mark?
ans. Difference in % = difference in mark
In that 36%-24%=12%
that is 12%=9marks
so, total mark = 9/12x100= 75
Cube roots tricks, math shortcut tricks, find cube from 1 to 99 of given number

In banking and many other exam there is many question related to cube roots. In exam specially banking 2-3 question are related to cube roots.

In banking hard digit like 373248, 941192, 91125 etc are given and we have to find the cube of that number This is time consuming chapter in mathematics. We are providing shortcut tricks to find cube roots of a given number.

First we need to learn this following table carefully

if you learn this table its helpful in finding cube of a given number.
 Number Cube root Last digit 1 1 1 2 8 8 3 27 7 4 64 4 5 125 5 6 216 6 7 343 3 8 512 2 9 729 9 10 1000 0

Basically last digit concept are used to find the cube root of given number

Here is the example How to find the cube of the given number   if you practice practice and practice hard you can solve this within few seconds and save you time in exam hall.
if you have any problem we can discuss in comments

## SQUARE ROOTS TRICKS FOR FAST CALCULATION

square is the important chapter in maths. 2-3 question are always based on this topics in every exams. While in banking 8 – 10 question are based on this square chapter or on the bases of square
we provide tricks how to calculate SQUARE fast within seconds
if you practice, practice and practice I think you will be able to solve square to 30 to 130 within few seconds and you can save time is exams.

squares
1.    number with last digit 5.
2.    from 30 to 50.
3.    from 50 to 80.
4.    from 80 to 100.
5.    from 100 to 130.

FIRST OF ALL YOU CAN LEARN SQUARE BETWEEN 1 TO 30 IN MIND
 NUMBER SQUARE NUMBER SQUARE 1 1 16 256 2 4 17 289 3 9 18 324 4 16 19 361 5 25 20 400 6 36 21 441 7 49 22 484 8 64 23 529 9 81 24 576 10 100 25 625 11 121 26 676 12 144 27 729 13 169 28 784 14 196 29 841 15 225 30 900

FIRST CASE:-  NUMBER WITH LAST DIGIT 5 SECOND CASE:- SQUARE BETWEEN 30 TO 50 THIRD CASE:- SQUARE BETWEEN 50 TO 80 FOURTH CASE:- SQUARE BETWEEN 80 TO 100 FIFTH CASE:- SQUARE BETWEEN 100  TO 130 MOCK TEST
Q1. Find the square of 95?
a. 9125            b. 9025      c. 9225      d. 9175
Q2. Find the square of 42?
a. 1763      b. 1764      c. 1765      d. 1766
Q3. Find the square of 79?
a. 6233      b. 6255      c. 6241      d. 6251
Q4. Find the square of 121?
a. 15252    b. 12625    c. 14625    d. 14641
Q5. find the square of 98?
a. 9604      b. 9609      c. 9603      d. 9600

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## MATHS    SHORTCUT    TRICKS --  WORK AND TIME

This time  we are  going to  solve work and time chapter with shortcut tricks.
now, we are going to  solve  work and time problem with short cut tricks. If you learn this tricks you can solve these   question in seconds.
WORK AND TIME SHORTCUT TRICKS, MATH SHORTCUT TRICKS

### Profit And Loss Short Tricks

These type of question are time consuming but we have to manage our time in the examination hall.
Type 1:- The ratio of the cost price and the selling price is 4:5. The profit percent is?
a.        10         b.        20           c.         25         d.        30        Ans:- 25
profit is always calculated on cost price
so,  c.p=4 , s.p=5                        Profit=s.p-c.p,  5-4=1
profit %=  profit/cost price * 100, then, 1/4*100= 25

Type 2:- If on selling 12 notebooks a seller makes a profit equal to selling price of 4 notebook, what is his profits percentage?
a.        16.2/3        b.        25        c.         50        d.        None of these       Ans:-50
if there is profit on selling item = selling price of an article
To find profit %, simply minus 12 from 4= 8
Profit % = 4/8*100=50

Type 3:- A vender loses the selling price of 4 oranges on selling 36 oranges his loss percentage is?
a.        10         b.        11.1/9      c.         12.1/2    d.        None of these    Ans:-10
if there is loss on selling item = selling price of an article
to find loss%, simply add 36 to 4 = 40
Loss % = 4/40*100 = 40

Type 4:- Some article were brought of 6 for rs. 5. And sold  at 5 for rs. 6. Gain percentage is/
a.        30      b.        33.1/3           c.         35        d.        44       Ans:-44
Type 5:- A vender by selling 12 toffee for a rupee. A man loses 20%. How many for a rupee should he sell to get a gain of 20%?                    a.        10         b.        20         c.         8         d.        12       Ans:- 8
12 toffee for rs 1 loss 20% then
c.p = 1*100/80 = 5/4    on this price we have to gain profit of 20%
So, 5/4* 120/100 = 3/2
If for Rs. 2/3 we have 12 toffee then for rs 1 we have            = 12x2/3=8
Type 6:- A sell a bicycle of to B at a profit of 20%. B sell it to C at profit of 25%. If C pays rs. 225 for it the cost price of bicycle is?
a.        110           b.        120          c.         125          d.        150       Ans:- 150
let cost price be X then,             x.120/100 . 125/100= 225 ,
by solving, then X equal to 150

Type 7:- A shopkeeper professes to sell his goods at cost price but uses a weight of 800gm instead of 1kg. thus he makes a profit of?
a.        20%         b.        16.2/3          c.         25          d.        50        Ans :- 25
Type 8 :- A shopkeeper  cheats  to the extents of 10% while buying as well as selling by using  false  weight  his total gain is ?               a.        10%          b.        11%          c.         20%           d.        21%          Ans :-21%

Type 9 :- An article  when  sold at a gain of 5% yields rs. 15 more than when sold at a loss of 5%. Its  cost  price  would be              a.  150                   b.   200                     c.   250            d.    300      Ans:-150
difference between gain % and loss% equal to 10%
then, 10% = rs. 15,                       100% = rs. 150 , that is your cost price

Type 10:- The price of  an article  has been  reduced by 25%. In order to restore the original price  the reduced price  must be  increased by?
a.        25%                     b.        30%              c.         33%                d.        33.1/3%          Ans:-33.1/3%

Type 11:- An article was sold at 16% gain. Had it been sold for rs. 200 more, the gain would have been 20% then the cost price of the article is?
a.        5000        b.        4800       c.         4500      d.        5200           Ans :- 5000

difference in gain % equal to 200,          Then  20%-16%=4%
4%= 200 then,            100%= 5000 that is your cost price of the article

1. How long will Lucy have to wait before for her \$2,500 invested at 6% earns \$600 in simple interest?
(A)2 years           (B)3 years        (C)4 years          (D)5 years       (E)6 years

2. Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?
(A)4       (B)8                  (C)12                 (D)13               (E)16

3. If r = 5 z then 15 z = 3 y, then r =
(A)y       (B)2 y               (C)5 y              (D)10 y              (E)15 y

4. What is 35% of a number if 12 is 15% of a number?
(A)5      (B)12                 (C)28                (D)33                (E)62

5. A computer is on sale for \$1600, which is a 20% discount off the regularpric(E)What is the regular price?
(A)\$1800            (B)\$1900            (C)\$2000          (D)\$2100           (E)\$2200

6. A car dealer sells a SUV for \$39,000, which represents a 25% profit over the cost. What was the cost of the SUV to the dealer?
(A)\$29,250         (B)\$31,200        (C)\$32,500        (D)\$33,800         (E)\$33,999

7. After having to pay increased income taxes this year, Edmond has to sell his BMW. Edmond bought the car for \$49,000, but he sold it for a 20% loss. What
did Edmond sell the car for?
(A)\$24,200          (B)\$28,900       (C)\$35,600        (D)\$37,300         (E)\$39,200

8. If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to
(A)0.8 days          (B)1.09 days          (C)1.23 days          (D)1.65 days         (E)1.97 days
9. Find 0.12 Ã·12
(A)100                 (B)10              (C)1                 (D)0.01 (E)0.001

10. If 6 is 24% of a number, what is 40% of the same number?
(A)8                   (B)10               (C)15                (D)20                (E)25

11. Which of the following numbers could be described in the following way: an integer that is a natural, rational and whole number?
(A)0                  (B)1                  (C)2.33              (D)-3                 (E)none of the above

12. Find the mode of the following list of numbers: 2, 4, 6, 4, 8, 2, 9, 4, 3, 8
(A)2                  (B)3                  (C)4                  (D)5                  (E)6

13. In the fraction 3/x, x may not be substituted by which of the following sets?
(A){1, 2, 4}        (B){-2,-3,-4}       (C){1, 3, 7}        (D){0, 10, 20}     (E){1.8, 4.3}

14. Sarah needs to make a cake and some cookies. The cake requires 3/8 cup of sugar and the cookies require 3/5 cup of sugar. Sarah has 15/16 cups of
sugar. Does she have enough sugar, or how much more does she need?
(A)She has enough sugar.
(B)She needs 1/8 of a cup of sugar.      (C)She needs 3/80 of a cup of sugar.
(D)She needs 4/19 of a cup of sugar.    (E)She needs 1/9 of a cup of sugar.

15. At a company fish fry, 1/2 in attendance are employees. Employees' spouses are 1/3 of the attendace. What is the percentage of the people in attendance who are not employees or employee spouses?
(A)10.5%           (B)16.7%           (C)25%              (D)32.3%           (E)38%

16. If 8x + 5x + 2x + 4x = 114, the 5x + 3 =
(A) 12               (B) 25               (C) 33               (D) 47               (E) 86

17. There are 8 ounces in a Â½ poun(D)How many ounces are in 7 3/4 lbs?
(A)12 ounces                (B)86 ounces    (C)119 ounces              (D)124 ounces              (E)138 ounces

18. If the value of x and y in the fraction XZ/Y are both tripled, how does the value of the fraction change?
(A)increases by half      (B)decreases by half     (C)triples  (D)doubles(E)remains the same

19. What is the next number in the following pattern? 1, 1/2, 1/4, 1/8, ___
(A)1/10              (B)1/12( C)1/14               (D)1/15              (E)1/16

20. Of the following units which would be more likely used to measure the amount of water in a bathtub?
(A)kilograms    (B)liters            (C)milliliters     (D)centigrams               (E)volts