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 Read More

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 Read More

Simple Interest

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 Read More

Quadratic Equation

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. Read More

Profit and Loss

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 Read More

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 = √ Read More

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 Read More

Time & Work

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. Read More

Boats and Streams

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 Read More

Chain Rule

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 Read More

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. Read More




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