Saturday, 25 June 2016

GAT NTS-General Preparations

POST#1. GAT preparations:Quantitative portion:
Percentage questions:
X%=X/100
1%=1/100
(1/X)%=(1/X)*(1/100)
1. What % of 60 is 15?
Ans:
What means unknown so What=x, Of means multiplication Sp Of=* and is means equal so is=(=)
Now writing equation:
X%*60=15
X%=X/100
So
X/100*(60)=15
x = 15 * 100 / 60
x = 100/4 = 25
Answer: 25
2. 25% of what number is 15?
3. 25% of 60 is what?

POST #2 GAT preparations Zakat calculations 
Simply divide the number by 40, you will get the Zakat Amount. 
Find the Zakat on 48000?
48000/40 (4*10)
40=4*10
Multiplication direct mushkil hoti hai isilye 40=4*10
48000/4 =12000 then divide by 10 12000/10=1200 is answer

POST#3GAT Preparations
QUANTITATIVE PORTION:
Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number.
How to solve:
Let the number be x.
x+17(means number is increased by 17) = (is equal to)60 (60 times) divide by x (reciprocal of number)
So
x+17=60/x
x^2+17x-60=0
(x+20)(x-3)=0
x is positive so x-3=0 x=3 answer

POST # 4
GAT preparations 

Quantitative Portion
Statistics:
Mean 
Median
Mode
Range
Find the mean, median, mode, and range for the following list of values:
13, 18, 13, 14, 13, 16, 14, 21, 13
1. The mean is the usual average, so:
(13 + 18 + 13 + 14 + 13 + 16 + 14 + 21 + 13) ÷ 9 = 15
2. The median is the middle value, so I'll have to rewrite the list in order:
13, 13, 13, 13, 14, 14, 16, 18, 21
There are nine numbers in the list, so the middle one will be the
5th number
So the median is 14
3. The mode is the number that is repeated more often than any other, so 13 is the mode.
4. The largest value in the list is 21, and the smallest is 13, so the range is 21 – 13 = 8.
Range=Largest-smallest
Now Find the mean, median, mode, and range for the following list of values:
1, 2, 4, 7, 4


POST #5
GAT preparations
Quantitative portion.

Percentage increase and decrease in Areas/Length/radius...
First try to remind:
Area of:
Circle.
Rectangle.
Triangle.
Cube
their radius formula can be drawn from Area..
Question:
The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?
How to Answer:
take original length = x and original breadth = y.
Original area = xy.
As length is halved:
New Length: x/2
As breadth is triple
New Breadth: 3y
New area=New lenght*new breath
New area: (x/2*3y)=3/2(xy)=1.5xy
original area was xy
new area is 1.5xy
1.5xy-xy=0.5xy
So increase is 0.5
which means 50 percent increase:in area

POST#6.
GAT preparations:
Quantitative portion:
Time and Work Questions
:
Work from Days:
If A can do a piece of work in n days, then A's 1 day's work = 1/n
Days from Work:
If A's 1 day's work = 1/n then A can finish the work in n days
Question:
A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is
Answer:
A's 1 day's work = 1/15
B"s 1 days work= 1/20
work together means addition of both
so
(A+B) 1 day's work =1/15+1/20=7/60
now complete statement was work together for 4 days
so multiply by 4
(A+B) 4 day's work=7/60(4)=7/15
Now remaining work was 1-7/15=8/15 answer
Post more questions in comments for practice.

Post #7 
GAT preparations
Quantitative Portion:
For trigonometry. 

You should check out these formula's