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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Height and Distance

An aeroplane flying at a height of 300 m above the ground passes vertically above another plane at an instant when the angles of elevation of the two planes from the same point on the ground are 60º and 45º respectively. What is the height of the lower plane from the ground?

From the top of a building 90 m high, the angles of depression of the top and the bottom of a tree are 30º and 45º respectively. What is the height of the tree?

Trigonometry

What is the value of sinx √( 1 /1+cosx + 1 /1-cosx ) ?

What is cos4 A - sin4 A / cos2 A - sin2 A equal to?

If 7sin2 x +3cos2 x = 4, 0 < x < 90º ,then what is the value of tan x?

If x = a cosθ + b sinθ and y = a sinθ - b cosθ then what is x2 + y2 equal to?

Average

The mean of 5 numbers is 15. If one more number is included, the mean of the 6 numbers becomes 17. What is the included number?

The mean marks obtained by 300 students in a subject are 60. The mean of top 100 students was found to be 80 and the mean of last 100 students was found to be 50. The mean marks of the remaining 100 students are?

In an asymmetrical distribution, of the mean and median of the distribution are 270 and 220 respectively, then the mode of the data is?

Let a, b, c, d, e, f, g be consecutive even numbers and j, k, l, m, n be consecutive odd numbers. What is the average of all the numbers?

Alligation or Mixture

25 kg of alloy X is mixed with 125 kg of alloy Y. If the amount of lead and tin in the alloy X is the ratio 1 : 2 and the amount of lead and tin in the alloy Y is in the ratio 2 : 3, then what is the ratio of lead to tin in the mixture?

Simplification

The ratio of two numbers is 1 : 5 and their product is 320. What is the difference between the square of these two numbers?

Trigonometry

What is the value of cot 4π/3 ?

Indian Politics

Article-24 of the Indian Constitution ‘Prohibition of employment of children in factories, etc’ deals with?

Article-134A of the Indian Constitution ‘Certificate for appeal to the Supreme Court’ deals with?

Chemistry

Who invented Aspirin?

Physics

A larger force on a rotating body results in larger?

What is the unit of the physical quantity, magnetic flux density?