In the word 'CORPORATION', we treat the vowels OOAIO as one letter. Thus, we have CRPRTN (OOAIO). This has 7 letters of which R occurs 2 times and the rest are different. Number of ways arranging these letters = 7! = 2520/2! Now, 5 vowels in which O occurs 3 times and the rest are different, can be arranged in 5!/3! = 20 ways.
Required number of ways = (2520 x 20) = 50400.
Q. No. :
5
Question :
When 75% of a number is added to 75, it results in the number itself. Find the number?
Let X be required events and S be the sample space, then X= {(2,3),(2,6),(4,3),(4,6),(6,3),(6,6),(3,2),(6,2),(3,4),(6,4),(3,6)} n(X)=11, n(S)=36 Hence, required probability = n(X)/n(S)= 11/36
Q. No. :
7
Question :
Pointing to a man on the stage, Rita said, "He is the brother of the daughter of the wife of my husband. "How is the man on the stage related to Rita ?
A :
Nephew
B :
Cousin
C :
Son
D :
Husband
Answer: C
Q. No. :
8
Question :
The present age of a father is 3 years more than three times the age of his son.Three years hence,father's age will be 10 years more than twice the age of the son. Find the present ageof the father.
Solution: Let the present age be 'x' years. Then father's present age is 3x+3 years. Three years hence (3x+3)+3=2(x+3)+10 x=10. Hence father's present age = 3x+3 = 33 years
Q. No. :
9
Question :
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
Let ‘x’ be the number of cows and ‘y’ be the number of hens present in the cage. No. of heads=200 Mathematically number of heads can be represented as x+y=200 …………………….(i) Similarly, No. of legs can be represented as 4x+2y=514…………………..(ii) Solving (i) and (ii) gives x=57; and y=143
Q. No. :
11
Question :
From the four positions of a dice given below, find the color which is opposite to yellow ?
The colours adjacent to yellow are orange, blue, red and rose. Hence violet will be opposite to yellow.
Prashant, Abhishek, Ramesh, Santosh, Tarun, Umesh, Varun and Dishant are sitting round the circle and are facing the centre:
1. Prashant is second to the right of Tarun who is the neighbour of Ramesh and Varun.
2. Santosh is not the neighbour of Prashant.
3. Varun is the neighbour of Umesh.
4. Abhishek is not between Santosh and Dishant. Dishant is not between Umesh and Santosh.
Number of backward uneducated people who are employed is 5.
Each of the following questions is based on the following information:
1. 8-trees → mango, guava, papaya, pomegranate, lemon, banana, raspberry and apple are in two rows 4 in each facing North and South.
2. Lemon is between mango and apple but just opposite to guava.
3. Banana is at one end of a line and is just next in the right of guava or either banana tree is just after guava tree.
4. Raspberry tree which at one end of a line, is just diagonally opposite to mango tree.
The following questions are based on the information given below:
1. There is a cuboid whose dimensions are 4 x 3 x 3 cm.
2. The opposite faces of dimensions 4 x 3 are coloured yellow.
3. The opposite faces of other dimensions 4 x 3 are coloured red.
4. The opposite faces of dimensions 3 x 3 are coloured green.
5. Now the cuboid is cut into small cubes of side 1 cm.
Q. No. :
23
Question :
How many small cubes will have only one face coloured ?
