Progression
Sequence
A succession of numbers formed and arranged in a definite order according to a certain definite rule is called a sequence.
Arithmetic Progression (A.P.)
It is a sequence in which each term, except the first one differs the preceding term by a constant. This constant is called the common difference. We denote the first term by a, common difference by d, nth term by Tṇ and the sum of f
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**Concept and Quiz on Pipe and Cisterns**

Concept and Quiz on Pipe and Cisterns
Inlet: A pipe connected with a tank or cistern or a reservoir, that fills it, is known as an inlet.
Outlet: A pipe connected with a tank or cistern or reservoir, emptying it is known as an outlet.
Important Concepts
If a pipe can fill a tank in x hours, part filled in 1 hour = 1/x.
If a pipe can
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Simple Interest
P- Principal
R- Rate of interest
T- Time
A – Amount
S.I- simple interest
Formulas:
I) Simple interest = (P*R*T)/100
II) A = P + S.I.
III) P =(100*A)/(100 + (RT))
IV) The annual payment that will discharge a debt of Rs. X due in T years at the rate of interest R% per annum is (100X)/ (100T + ((RT(T-1))/2 ))
V) If sum of money become x times in T years at
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Quadratic Equation
aX2+bX +c =0
a = coefficient of X2
b = coefficient of X
c = constant term
There will be five problems from this topic. It is the easiest one, so you can solve all problems within 5 to 7 minutes.
In this kind of problems two equations will be given as question, you have to solve the equation and find the relation between them
1.P > Q
2.P < Q
3.P ≥ Q
4.p ≤ Q
5.
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Profit and Loss
Important Terms
SP – Selling price
CP – Cost price
MP – Marked price
Formulas
Profit = SP – CP
Loss = CP – SP
Profit% = ((SP – CP)/CP) * 100
Loss% = ((CP – SP)/CP) * 100
SP = (1+ profit%) * CP
SP = (1 – Loss%) * CP
CP = SP/(1+profit%)
CP = SP/(1-Loss%)
MP = SP+ Discount
MP = SP/(1-Disount%)
Discoun
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**Minimum and Maximum values of Trigonometric Functions**

Minimum and Maximum values of Trigonometric Functions
Type I: a sinɸ ± b cosɸ, a sinɸ ± b sinɸ, a cosɸ ± b cosɸ
Maximum value = √ (a2 + b2)
Minimum value = – √ (a2 + b2)
Example: Find the minimum and maximum value of 3 sinɸ + 4 sinɸ
Minimum value = – √ (32 + 42) = -5
Maximum value = √
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**Important Formulas used in Mensuration**

Important Formulas used in Mensuration
Rectangle :
Area = lb
Perimeter = 2(l+b)
Square :
Area = a×a
Perimeter = 4a
Parallelogram
Area = l × h
Perimeter = 2(l+b)
Triangle :
Area =b×h/2 or √s(s-a)(s-b)(s-c)&hell
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Time & Work
1) Work from Days :
If A can do a piece of work in n days, then A's 1 day's work = 1/n .
2) Days from Work:
If A's 1 day's work = 1/n , then A can finish the work in n days.
3) Ratio:
If A is thrice as good a workman as B, then:
Ratio of work done by A and B = 3 : 1.
Ratio of times taken by A and B to finish a work = 1 : 3.
4.
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BOATS & STREAMS
Downstream :
In water,the direction along the stream is called downstream. I mean, If a boat or a swimmer swims in the same direction as the stream, then it is called downstream. Obviously the boat or swimmer require less efforts to travel using downstream. Because the stream itself helps the objects to move. Remember, as the object moves along with the water, the stream helps the object. So, the down st
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CHAIN RULE
Direct Method :
Two quantities are said to vary directly when both the quantities are proportional to each other means on the increase (or decrease) of the one, the other increases (decreases) to the some extent.
For examples
a) More articles , more cost
b) More men, more work.
Suppose if 15 dolls cost Rs 35, what do 39 dolls cost ?
we can see less dolls = less costs
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**Linear Equations in Two Variables**

Our experts are continously analysing patterns of different topics and subjects .We are continiously updating our site with new set of questions on hourly basis. Do visit this page to keep yourself updated. Happy Learning.
Below page contains different patterns / types of questions frequently SSC/ RRB/ Prashar Bharti/ DRDO/ DMRC/ Banks/ BEL exams.
http://www.questionsea.com/subsubcategory.php?c
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