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Mathematical Aptitude - Tips & Tricks www.aptiDude.com
www.aptiDude.com
Copyright @ 2013, content compiled by aptiDude.com officials and mathematical experts
PROBABILITY TRICK
Apti Trick - THE BIRTHDAY PROBLEM
Out of n persons, the possibility that birthdays of two persons don’t coincide is given by
P (Not Same Birthday) = 365Pn / 365n
Similarly, the possibility that at least two of them will have the same birthdays is given by….
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NUMBER SYSTEM
How many times a digit ‘n’ appears in a certain range (except 0)?
From 1 – 9, the digit ‘n’ is used 1 time
From 1 – 99, the digit ‘n’ is used 20 times.
From 1 – 999, the digit ‘n’ is used 300 times
From 1 – 9999, the digit ‘n’ is used …..
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PERECENTAGES
Quick Calculation of Percentages
15 % of 290 ?
Now, 10 % of 290 = 29, 5 % is half of it = 14.5
Hence, 15 % 0f 290 = 29 + 14.5 = 43.5
For more such tips & tricks, get access to the complete book of Aptitude Tips, Tricks & Formulae for All Competitive Exams, here: http://www.wiziq.com/course/56253-aptitude-tips-tricks-formulae-for-all-competitive-exams
Mathematical Aptitude - Tips & Tricks www.aptiDude.com
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PROFIT/LOSS
BUY X & GET Y FREE OFFER
If articles worth Rs X are bought and articles worth Rs. Y are obtained free along with the Rs. X articles, then Discount = Rs. Y
Discount % = (Y / X+Y) * 100
For more such tips & tricks, get access to the complete book of Aptitude Tips, Tricks & Formulae for All Competitive Exams, here: http://www.wiziq.com/course/56253-aptitude-tips-tricks-formulae-for-all-competitive-exams
SIMPLE/COMPOUND INTEREST
Difference between Simple Interest & Compound Interest
PROGRESSIONS
1. It is always convenient to take three terms in an A.P. as (a – d), a & (a + d). Four terms in an A.P. could be
taken as a – 3d, a – d, a + d and a + 3d.
2. If nth term of any sequence is Tn = 3n + 2, then (n+1)th term will be …..
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Years S.I C.I Difference
After 1 year
PR/100
PR/100
0
After 2 years PR/100
PR
100+ 3P
R
100 2
P R
100 2
After 3 years
PR/100
For more such tips & tricks, get access to the complete book of Aptitude Tips, Tricks & Formulae for All
Competitive Exams, here: http://www.wiziq.com/course/56253-aptitude-tips-tricks-
formulae-for-all-competitive-exams
Mathematical Aptitude - Tips & Tricks www.aptiDude.com
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Copyright @ 2013, content compiled by aptiDude.com officials and mathematical experts
Time-Speed-Distance
Application of Relative Speed in Train Problems
Train 1, Length L1, Speed S1
Train 2, Length L2, Speed S2
Sobj be the speed of any moving object
T=Time taken by the train to cross the object
Then,
1. If Train of Length L1 crosses any stationary object of negligible length, then T = L1 / S1 2. If Train of Length L1 crosses any moving object of negligible length, then T = ……
For more such tips & tricks, get access to the complete book of Aptitude Tips, Tricks & Formulae for All Competitive Exams, here: http://www.wiziq.com/course/56253-aptitude-tips-tricks-formulae-for-all-competitive-exams
PERMUTATIONS & COMBINATIONS
Number of triangles with one side common to a ‘n’ sided polygon = n * (n – 4)
Number of triangles with two sides common to a ‘n’ sided polygon = n
Number of triangles with no side common to that of a ‘n’ sided polygon = …….
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TIME & WORK
If A and B together can do a piece of work in x days, B and C together can do in y days and C and A together can
do in z days, then the same work can be done
By A alone in 2xyz / (xy + yz - zx) days
By B alone in ……. days
For more such tips & tricks, get access to the complete book of Aptitude Tips, Tricks & Formulae for All Competitive Exams, here: http://www.wiziq.com/course/56253-aptitude-tips-tricks-formulae-for-all-competitive-exams
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Geometrical Mensurations
PROPERTIES of POLYGONS
For any ‘n’ sided polygon Measure of Each Interior Angle = (n - 2)*1800 / n
Measure of Each Exterior Angle = 3600/n
Number of Diagonals = …..
For more such tips & tricks, get access to the complete book of Aptitude Tips, Tricks & Formulae for All Competitive Exams, here: http://www.wiziq.com/course/56253-aptitude-tips-tricks-formulae-for-all-competitive-exams
QUADRATIC EQUATIONS
DESCARTE’s RULE of SIGNS
If the coefficients of all the powers of x of an equation are positive, the equation does not have any positive
root For example, the equation x4 + 4x3 + 5x2 + 9x + 1 = 0 will have no positive root.
If the coefficients of all even powers of x in an equation are of one sign and the coefficients of all the odd
powers of x are of the opposite sign, the equation does not have any negative root. The equation x5 – 2x4 + 9x3 – 5x2 + 7x – 20 = 0 will not have any negative root.
For more such tips & tricks, get access to the complete book of Aptitude Tips, Tricks & Formulae for All Competitive Exams, here: http://www.wiziq.com/course/56253-aptitude-tips-tricks-formulae-for-all-competitive-exams
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Copyright @ 2013, content compiled by aptiDude.com officials and mathematical experts
FINDING 3-Digit Squares
Finding 3 digit squares can be a 2 minute process if you practice the following trick
Suppose you have to find square of 192
Then just round up / down the given number to nearest multiple of 100 as follows
+8 200
192 36800 + 82 = 36800 + 64 = 36864
-8 184
CLOCKS
Speed of Hour and = 3600/ 6 = 60/second
Speed of Minute Hand
= 3600/ (60 x 12) = 0.50/second Relative Speed of Hour and Minute Hands
= 60 – 0.50 = (11/2) 0/second =5.50/second Minute and hour hands meet for 11 times in 12 hours Hands of clock will be 22 times at right angle to each other in 12 hours. Angle between two hands of a clock is given by
|30H – 11/2M|0
.........To be Continued
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Here 36,800 = 200 * 184