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Logical Reasoning

Blood Relations

Blood relation logical problems mainly deal with the hierarchical structure of a family.The typical relationships that are commonly used in blood relation problems are summarized as follows

My mother’s or father’s son my Brother.
My mother’s or father’s daughter my Sister.
My mother’s or father’s father my Grandfather.
My mother’s or father’s sister my Aunt.
My mother’s or father’s brother my Uncle.
My son’s wife my daughter-in-law.
My daughter’s husband my Son-in-law.
My brother’s son my Nephew.
My brother’s daughter my Niece.
My sister’s husband my brother-in-law.
My brother’s wife my Sister-in-law.
My husband’s or wife’s sister my Sister-in-law.
My husband’s or wife’s brother my Brother-in-law.
My uncle’s or aunt’s son or daughter my Cousin.
My wife’s father or husband’s father my Father-in-law.
My wife’s mother or husband’s mother my Mother-in-law.
My father’s wife my Mother.
My mother’s husband my Father.
My son’s or daughter’s son my Grandson.
My son’s or daughter’s daughter my Granddaughter.
The only son of your father Yourself
Wife of the father Mother
The only son of grandfather/mother Father
Only daughter-in-law of grandfather/mother Mother
Mother-in-law of mother Grandmother
Father-in-law of mother Grandfather
The only daughter of the father Sister
Son of the father of the sister Brother
Son of the only son of the father Son
Son of the only son of grandfather Brother
Daughter of the only son of Grandfather Sister
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Coding-Decoding

For transmitting secret messages from one place to another, especially in defense services, Coding is used.
Decoding is the ability to break the secret code.the following basic knowledge can help in this.

Forward Order of Letters-

A 1 J 10 S 19
B 2 K 11 T 20
C 3 L 12 U 21
D 4 M 13 V 22
E 5 N 14 W 23
F 6 O 15 X 24
G 7 P 16 Y 25
H 8 Q 17 Z 26
I 9 R 18

Reverse Order of Letters-

A 26 J 17 S 8
B 25 K 16 T 7
C 24 L 15 U 6
D 23 M 14 V 5
E 22 N 13 W 4
F 21 O 12 X 3
G 20 P 11 Y 2
H 19 Q 10 Z 1
I 18 R 9

Opposite Letters-

A Z
B Y
C X
D W
E V
F U
G T
H S
I R
J Q
K P
L O
M N

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Fractions

First we increased the denominator of a positive fraction by 3 and then decrease it by 5.The sum of the resulting fractions proves to be equal to 2/3. Find the denominator of the fraction if its numerator is 2?
Simplification

If we divide a two digit number by the sum of its digits we get 4 as a quotient and 3 as a remainder. Now if we divide that two digit number by the product of its digits we get 3 as a quotient and 5 as a remainder . Find the two digit number?
Fractions

The denominators of an irreducible fraction is greater than the numerator by 2.If we reduce the numerator of the reciprocal fraction by 3 and subtract the given fraction from the resulting one,we get 1/15.Find the given fraction?
Simplification

If we add the square of the digit in the tens place of the positive two digit number to the product of the digits of that number we get 52,and if we add the square of the digit in the unit's place to the same product of the digits we get 117.Find the two digit number?

The sum of squares of the digits constituting a positive two digit number is 13, If we subtract 9 from that number we shall get a number written by the same digits in the reverse order. Find the number?

The arithmetic mean of two numbers is smaller by 24 than the larger of the two numbers and the GM of the same numbers exceeds by 12 the smaller of the numbers. Find the numbers?

A number being successively divided by 3,5,8 leaves remainder 1,4,7 respectively. Find the respective remainders if the order of divisors are reversed?

The sum of all possible two digit numbers formed from three different one digit natural numbers when divided by the sum of the original three numbers is equal to?
HCF and LCM

Find the HCF and LCM of the polynomial x2-5x+6 and x2-7x+10?
Simplification

When we multiply a certain two digit number by the sum of its digits , 405 is achieved. If we multiply the number written in reverse order of the same digits by the sum of the digits, we get 486. Find the number?
Average

The sum of two numbers is 15 and their geometric mean is 20% lower than their arithmetic mean. Find the numbers?
Numbers

The difference of 1025-7 and 1024+x is divisible by 3. find x=?

A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as remainder . The number is?

The sum of three prime numbers is 100.If one of them exceeds another by 36 then one of the numbers is?

Find the number of zeros in the factorial of the number 18?

If a number is multiplied by 22 and the same number is added to it then we get a number that is half the square of that number. Find the number?

In doing a division of a question with zero remainder,a candidate took 12 as divisor instead of 21.The quotient obtained by him was 35. The correct quotient is?
Fractions

A number when divided by 342 gives a remainder 47.When the same number is divided by 19 what would be the remainder?

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