Mathematics Model Questions for PA/SA Exam

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

(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

(D)13

(E)16

3. If r = 5 z then 15 z = 3 y, then r =

(A)y

(B)2 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

(D)33

(E)62

5. A computer is on sale for $1600, which is a 20% discount off the regular price. 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 complete it? Get more postal assistant study material from here

(A)0.8 days

(B)1.09 days

(D)1.65 days

(E)1.97 days

9. Find 0.12 Ã·12

(A)100

(B)10

(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

(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

(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

(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%

(D)32.3%

(E)38%

16. If 8x + 5x + 2x + 4x = 114, the 5x + 3 =

(A) 12

(B) 25

(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

(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

(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

(Comment if there is mistake with any questions)

Answers

1. C 2. D 3. A 4. C 5. C 6. B 7. E 8. B 9. D 10. B 11. B 12. C 13. D 14. C 15. B 16. C 17. D 18. E 19. E 20. B 21. D 22. B 23. C 24. A 25. E

PERCENTAGE TRICKS, 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
a 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 0.45if 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%
answer is 2/5 = 40%
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.