Top Aptitude Questions with Easiest Short Tricks
that have been asked or chances of
being asked in many forth coming Comptetive Exams .
HCF : Highest Common Factor (Related )
Q : Find the greatest possible number by
which when we divide the numbers
38, 66 and 80 the remainders are same ?
Solution :
38
, 66, 80
First
Second Third
First Number – Second Number
Whichever is Greater among First Number and
Second Number
Substract smaller from Large number
66-38 = 28
Third Number – Second Number
Whichever is Greater among Second Number
and Third Number
Substract smaller from Large number
80-66 = 14
Third
Number – First Number
Whichever is Greater among First Number
and Third Number
Substract smaller from Large number
80-38 = 42
Now we Get
28 , 14
and 42 Among these take HCF Which is 14 .
So the Answer is 14
1 number, 2 number ,
3 number
Take Differences between Numbers as described above.
Then take the HCF among them you will
get the
Solution.
Q. Number Series(Related)
Find out Question Mark in the series.
1, 2 ,11, 36, 85 ,166 , ?
Solution :
First of all take the differences
between consecutive numbers
So
1, 2 , 11, 36, 85 ,166 , ?
Difference between
Two Consecutive numbers
1 9 25 49 81
12 32 52 72 92
and so on
So 112 is 121
Add 121 to 166
We get 287
Solution is 287
Q Simple Interest (SI
Related)
A sum of Money becomes
two times itself in
07 years at simple Rate
of interest then in How many years it will become four (04) times ?
Solution:
Formula is
N1-1/ T1
=N2-1/T2
T1 = 7
T2 = ?
N1 = 2
N2 = 4
Placing All these
Values
We get
2-1 / 7 = 4-1
/ T2
1 / 7 =4-1 / T2
T2 = 3 x 7 =
21
Answer 21
What is the Angle between hour hand and
minute hand at 4:32 ?
Solution:
4/ 32
On simplification of 4/ 32
We get 1/8 Ratio
Formula (Short
Trick)
(Minute- Hour)*2
=
(32-4) *2
=
28*2
=56
If On simplification We get Ratio
1:3 Then
a)
1:3
= Minute * 4 + Minute /2
If On simplification We get Ratio
1:4
Then
b)
1:4
= Minute * 2
If On simplification We get Ratio
1:10
Then
c)
1:10 = Minute * 2 .5
Q In how many different ways can the letter of the word “ADYNAMIC” be arranged so that the vowels never come together ?
Solution:
Total arrangement =
8!(Factorial) / 2! (Factorial)
Since
A repeat 2 times in ADYNAMIC
Vowels
in ADYNAMIC = AAI (3)
Other Words in ADYNAMIC = DYNMC
(5)
We take AAI Into one group due to all vowels so 5+1 =6
Now Vowels come Together =
6! * 3! / 2!(repeat)
Now Never comes= Total arrangement - Come
= 8!(Factorial) / 2! (Factorial)
- (6! * 3! / 2!(repeat))
While taking commen 6! We get
7*8/2 =28 and
3!/2! = 3 *2/2 = 3
= 6!(28-3)
= 720*25
720 * 100/4
= 1800
Series (Related)
Q
What comes next in below series in place of
question mark ?
Solution: After Analyzing above series
There is a difference of one(1) in first two
numbers .
So when there is a difference of one(1) in
first two numbers then
We can solve it by multiplication factor.
Series will be like this * 1, * 1.5, * 2.5,4.0
ie
12*1 =12
12*1.5 =18
18 *2.5=45
45*4.0=60
Now difference of series would be like this
1, 1.5, 2.5, 4.0
*.5, *1, * 1.5 ,* 2.0 and so on
Finally we get
Solution : 180*6= 1080
Boat and Stream
Q A person can row a boat 17 KMPH in still
water
, if he takes twice
as much time to row upstream as much time to row upstream as to row downstream
in the river, calculate
speed of stream ?
Solution:
a:b= 2:1 (Given)
boat 17 KMPH
C= a-b/a+b * Boat
C=2-1/2+1 * 17
C= 1/3*17
C=17/3
So speed of stream =17/3
Probability
Q A bag contain 3 red balls , 4 black balls and
5 green balls , 3 balls are drawn randomly Now Find the probalility of getting all balls
are of green in colour ?
Solution:
3 Red
balls
4 black
balls
5 green
balls
Total
Balls =12
probalility of getting all balls are of green in colour
Total Probability
=
5C3
divide by 12 C3
If both are same ie 3 and 3
then you can ignore 3
And
get
5 *4 *3
12 *11 * 10
=
1/22
SECOND METHOD
By Formula = nCr
n!/r! *(n-r)!
=5 *4 /2
But you can prefer first method
5
*4 *3
12 *11 * 10
and get answer = 1/22
Mensuration(Related)
Q The Area of a square is 6084
square meters
The Breadth of a rectangle is
1/3 of the side of the square and the length of a rectangle is 3(Thrice) its
breadth . What is the difference between perimeter of a square and the
perimeter of a rectangle (in meter) ?
Solution :
We know that perimeter of a
square is 4 *a
Where a is the side of a square
We know that perimeter of a rectangle
is 2(a+b)
Where a and b are the length and breadth of a
rectangle
Now :
Area of a square =(a)2 Given 6084
So calculate side
Under root of a is a side of a
square
6084
Short Trick
to calculate under root of a number
6084
Last digit is
4 so ( 2* 2=4 or 8*8=64)
2 and 4 comes
at the end
Now take
first two digit ie it is 60
Now 8*8 =64
so we take less then that
7*7=49
Now first
digit is 7 and last digit is (we have to choose among 2
and 8)
For this
multiply (2 and 8 with first digit)
ie 7*8 =56
so first two
digit ie 60 >56
so we take 8
as answer
now the
square root of 6084 is 78
According to
question
Breadth
=side/3
So Breadth =
78/3
Breadth = 26
Length = 3*
Breadth
So Length =
3* 26
Length = 78
Perimeter of
a square =4* a
= 4*78
=312
Perimeter of
a rectangle = 2(L + B)
=2(78+26)
=208
So the
difference between the Perimeter of a square and Perimeter of a rectangle is
312-208= 104
