Important Questions on Average for ssc

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Q. 1) The average weight of 4 men is increased by 3 kg when one of them who weighs 120 kg is replaced by another man. What is the weight of the new man?

Weight of new person = Weight of removed person + No. of persons * Increase in Average = 120+3*4
Weight of new person = 132 kg
 
Q. 2) The average marks obtained by 120 candidates in a certain examination is 35. If the average marks of passing candidates is 39 and that of the failed candidates is 15, what is the number of candidates who passed the exam?

Such questions are best dealt with allegation formula:
Mean value = 35, Dearer value = 39 and Cheaper = 15
Failed students : Passed students = (Dearer - Mean) : (Mean - Cheaper) = 39 - 35 : 35 - 15 = 4 : 20

Some More Useful Tricks for SSC

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1. Squaring a number with lightning fast speed

       Well you might have come across various tricks to find the square of a number, but this trick is the simplest and the fastest.
Firstly memorize squares of numbers upto 25. I think many of you might be knowing it already, but for those who don't, please mug it. Now this trick will help you in squaring numbers upto 125 and trust me, for SSC you need this much only.

(a) For numbers close to 50

      (i) Numbers less than 50

Important questions on Trigonometry with tricks for ssc

#dailyquizadda #Trigotricks #sscAdvancemaths
 
Trigonometry is yet another scoring section of CGL. Most of the questions can be solved with jugaad.

Just like Algebra, where we assumed the values of variables, in trigonometry we will assume the value of 'theta'. And like algebra, make sure the value you are assuming for theta will not make the denominator zero.
How to assume value -
1. When you don't have to deal with fractions you can assume ϴ = 90 or 0
E.g. (acosϴ - bsinϴ)
2. When fraction is given and putting ϴ = 90 or 0 is making denominator zero, then you can go with ϴ = 45.
3. Don't assume a value for theta at which the trigonometric function is not defined. E.g. When tanϴ is given, you can't assume ϴ = 90.
4. When you are assuming two angles, go with A = 60 and B = 30
Note : These are not hard and fast rules and you can assume any value you like, but make sure denominator ≠ 0. Sometimes when you assume ϴ, you may end up with two options(say A and B) that are giving similar results (but two options will still get eliminated, i.e., C and D). Now change the value of theta and check only A and B.

Important Geometry Questions Solving tricks for SSC

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[Important Formulae]

(1) Be it algebra or geometry, such questions are always there that don't deserve your rough space.

Q 1.

Like the above questions asks you the value of x. Now value of x can't be negative in this context. Because CO = x - 3 and any negative value of 'x' will make CO negative, like if x = -8, then CO = -11. We know that side can never be negative. Hence all the options that have negative value for x are wrong.
Answer : (B)

Important Mensuration Tricks/Shortcut for SSC

#dailyquizadda #mensuration #18Question #sscAdvancemaths

Mensuration is a pure formula-based topic and tricks/shortcuts are seldom applied here. So in this series I will try to solve all the mensuration problems that have appeared in CGL lately and in the process I will share the important concepts/formulas.

Q. 1)

For Prism and Calendar (figures with uniform girth) -
Lateral Surface Area = Height * Perimeter of the Base
Volume = Height * Area of the Base

Important tricks for profit/loss for ssc and bank

#dailyquizadda #tricks #profit/loss #15Questions

Profit/Loss is another easy topic of SSC CGL. Most of the questions can be solved in less than 30 seconds. First let me introduce a formula that will be used in solving 50% of the questions.

Where,
SP = Selling price
CP = Cost Price
f = Profit/loss factor

What is this profit/loss factor ? It’s simple, ‘f’ depends on the profit/loss %
If profit% = 10, then f = 1.1
If profit% = 30, then f = 1.3
If profit% = 15, then f = 1.15
If loss% = 10, then f = 0.9

Important Time and Work previous questions of SSC CGL

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Note: In the complete Time and Work series, Efficiency would mean "Work Done in 1 day", and efficiency has been denoted by small letters, e.g. "a" means "Efficiency of A".

Q. 1)

Let the total work be 8 units (because 8 is the LCM of 4 and 8)
Efficiency of x (Work done by x in 1 hour) = 8/4 = 2 units
Efficiency of y (Work done by y in 1 hour) = 8/8 = 1 unit
Work done by (x + y) in 1 hour = 3 units
3 units work in completed in 1 hour. Hence 8 units work will be completed in 8/3 hours or 160 minutes.
Answer: (A)

Important Speed, Time & Distance Tricks with Explanation

#dailyquizadda #Imptrick #STD

Time and distance is a very easy topic and has limited variety of questions. I will take up questions from each variety and will solve them with shortest method possible.

Q. 1)

Let the distance travelled on foot be X km. Then distance travelled on bicycle will be Rs. (80 - X)
X/8 + (80 - X)/16 = 7
After forming this equation, don't solve it for X. Just observe, X/8 denotes that X is a multiple of 8 (although you can't be 100% sure, but SSC generally likes whole numbers). That means answer is either 32 km or 48 km.  Put X = 32 km in the equation and check if it satisfies the equation. It does!
Answer : (A)

Important Tricks for Simple Interest & Compound Interest

#dailyquizadda #Imptrick #SI&CI

 After reading this, you will be able to solve all the questions that are asked by SSC from this topic.

(1) The basic concept of CI and SI
Let's say you have Rs. 30000 and you keep this money in three different banks for 2 years(Rs. 10000 each). The three banks have different policy :
a) Bank A keeps your money at simple interest and offers you 5% interest
b) Bank B keeps your money at compound interest and offers you 5% interest. The interest is compounded annually.
Bank C keeps your money at compound interest and offers you 5% interest. The interest is compounded half-yearly.
After 2 years, which bank will give you most interest?
Let us calculate
Case (A)

Important Sequence and Series Tricks for SSC

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 There are basically two types of questions that are asked by SSC from this part-
1. Finite sequence where the denominator is of the type 1x3, 3x5, 5x7, etc. (can be solved with direct formula)
2. An infinite sequence where you have to find the series (the sum of infinite sequence)

First of all let's see questions of type 1.

Q.1)     1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42
First break it into the required form-

Very Important Mixture and Alligation Quiz with tricks

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Alligation is a method of solving arithmetic problems related to mixtures of ingredients. Please note that alligation method is applied for percentage value, ratio, rate, prices, speed, etc. and not for absolute value. That is whenever per cent, per km, per hour, per kg, are being compared, we can use Alligation.

Common trick for Ratio-Proportion and Mixture Alligation : Almost 50% of the questions are solvable just by going through the options. Just go through the questions I have solved in this article and you will know the approach.

Rule of Alligation

Important Algebra Quiz with Tricks Explanation for SSC exams

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Algebra is the easiest topic for SSC because you don't have to memorize any formula for it and all the questions can be solved within 10 seconds with jugaad.
First let me share with you the concept of symmetrical expressions(as I call it). A symmetrical expression is the one in which the weight of all the variables (a, b, c, etc.) is equal. Examples will make things clear.
Examples of symmetrical expressions -

• a³ + b³ + c³
• 3a + 3b + 3c
• a² + b² + c²
• a + b + c
• ab + bc + ca