Quantitative Aptitude  Permutation & Combination  Formula & Concept Quiz
#  Quiz 

1
Discuss

Formula & Concept
What is the sum of all 4 digit numbers that can be formed by the digits 1, 2, 3, 4 each exactly once
Solution 
2
Discuss

Formula & Concept
If P(A)=2/5, P(B)=3/10 and P(A ∩ B) =51, then P(A'  B'). P(B'  A') is equal to
Solution 
3
Discuss

Formula & Concept
If A and B are two independent events with P(A) = 3/5 and P(B) = 4/9 , then P(A' ∩ B' ) equals
Solution 
4
Discuss

Formula & Concept
If A, B and C are mutually exclusive and exhaustive events of a random experiment such that P(B)=3/2P(A) and P(C)=1/2P(B), then P(A∪C)=
Solution 
5
Discuss

Formula & Concept
A biased coin in tossed thrice. What is the probability that heads turns out at least twice considering that the probability of a head is 60%?
Solution 
6
Discuss

Formula & Concept
The value of ^{75}P_{2}
Solution 
7
Discuss

Formula & Concept
How many 4letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
Solution 
8
Discuss

Formula & Concept
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
Solution 
9
Discuss

Formula & Concept
In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together
Solution 
10
Discuss

Formula & Concept
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
Solution 
11
Discuss

Formula & Concept
In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
Solution 
12
Discuss

Formula & Concept
In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?
Solution 
13
Discuss

Formula & Concept
A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
Solution 
14
Discuss

Formula & Concept
In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
Solution 
15
Discuss

Formula & Concept
How many 3digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated
Solution 
16
Discuss

Formula & Concept
In how many ways can the letters of the word 'LEADER' be arranged?
Solution 
17
Discuss

Formula & Concept
How many words can be formed from the letters of the word "SIGNATURE" so that vowels always come together.
Solution 
18
Discuss

Formula & Concept
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least three men are in the committee. In how many ways can it be done?
Solution 
19
Discuss

Formula & Concept
In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
Solution 
20
Discuss

Formula & Concept
A box contains two white balls, three black balls and four red balls. Balls of the same colour are distinct. The number of ways in which three balls can be drawn from the box if atleast one black ball is to be included in the draw, is
Solution 
21
Discuss

Formula & Concept
Three unbiased coins are tossed. What is the probability of getting at most two heads ?
Solution 
22
Discuss

Formula & Concept
In a simultaneous throw of two dice, what is the probability of getting a total of 7?
Solution 
23
Discuss

Formula & Concept
Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
Solution 
24
Discuss

Formula & Concept
In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
Solution 
25
Discuss

Formula & Concept
One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is not a face card (Jack, Queen and King only)?
Solution 
26
Discuss

Formula & Concept
From a pack of 52 playing cards, two cards are drawn together at random. Calculate the probability of both the cards being the Kings.
Solution 
27
Discuss

Formula & Concept
Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is
Solution 
28
Discuss

Formula & Concept
A box contains 5 green, 4 yellow and 3 white marbles. three marbles are drawn at random. What is the probability that all they are not of the same colour?
Solution 
29
Discuss

Formula & Concept
A speaks truth in 75% cases and B in 80% of the cases. In what percentage of the cases are they likely to contradict each other, narrating the same incident?
Solution 
30
Discuss

Formula & Concept
12 person are seated at a round table. Number of ways of selecting 2 persons not adjacent to each other is
Solution 
31
Discuss

Formula & Concept
If ,, are probabilities of three mutually exclusive events, then
SolutionAnswer :1/2 
32
Discuss

Formula & Concept
If four dice are thrown together, then what is the probability that the sum of the numbers appearing on them is 25 ?
Solution 
33
Discuss

Formula & Concept
In a single throw with four dice,the probability of throwing seven is
Solution 
34
Discuss

Formula & Concept
A fair coin is tossed 5 times. What is the probability of getting at least three heads on consecutive tosses?
Solution 
35
Discuss

Formula & Concept
A coin is tossed 5 times. What is the probability that head appears an odd number of times?
Solution 
36
Discuss

Formula & Concept
Find the probability that a leap year selected at random will contain 53 Sundays
Solution 
37
Discuss

Formula & Concept
What is the probability of getting at least one six in a single throw of three unbiased dice?s
Solution 
38
Discuss

Formula & Concept
A person tosses an unbiased coin. When head turns up, he gets Rs.8 and tail turns up he loses Rs.4. If 3 coins are tossed, what is probability that he gets a profit of Rs.12?
SolutionPerson will get profit of Rs 12 only when there is 2H (Head) and 1T (Tail) H + H + T = 12 8 + 8 + (4) = 12 Total outcome of 2 head and 1 tail = 2^{3} = 8 i.e (T, H, TH, HT, HH, HHT, HTH, THH) Total event with 2H and 1 T is 3 therfore probability = 3/8 
39
Discuss

Formula & Concept
The number of triangles that can be formed by choosing the vertices from a set of 12 points, seven of which lie on the same straight line, is
Solution 
40
Discuss

Formula & Concept
In how many ways the letters of the word “UNDERDOG” can be arranged such that the first and last letters are same and no two vowels are together?
Solution 
41
Discuss

Formula & Concept
Three chairs are arranged in a row facing three other chairs. 4 boys and 2 girls are to be seated on these chairs such that girls are always facing each other. In how many ways can they be seated?
Solution 
42
Discuss

Formula & Concept
Six boys and 4 girls are to be seated in two separate rows with five chairs each, such that two particular girls are always together and all the girls are not in the same row. In how many ways can they be seated?
Solution 
43
Discuss

Formula & Concept
A, B, C, D and E sit on five chairs all of which are facing north. C will sit only on the leftmost chair and B will not sit anywhere to the left of A. In how many ways they can be seated?
Solution 
44
Discuss

Formula & Concept
Four letters are selected from the word “CAPAME” and are rearranged to form four letter words. How many words can be formed?
Solution 
45
Discuss

Formula & Concept
A basketball team of 5 players is to be selected from a group of 10 men and 8 women players. A volley ball team of 6 players is to be selected from a group of 8 men and 7 women players. Find the difference in the number of ways in which both the teams are selected, given that each team has only 2 female players.
Solution 
46
Discuss

Formula & Concept
Find the number of ways in which mixed double tennis game can be arranged amongst 9 married couples if no husband and wife play in the same game
Solution 
47
Discuss

Formula & Concept
If a team of 4 persons is to be selected from 8 males and 8 females, then in how many ways can the selections be made to include at least 1 female
Solution 
48
Discuss

Formula & Concept
A committee of 8 members is to be selected from a group of 12 male and 10 female members. In how many ways the committee is selected such that at most two and at least one male member are there in the committee?
Solution 
49
Discuss

Formula & Concept
A fiveletter word is to be formed from a group of 5 vowels and 4 consonants, using at least one vowel and at least one consonant. In how many ways the word having a greater number of consonants than vowels can be formed?
Solution 
50
Discuss

Formula & Concept
A polygon has 44 diagonals. What is the number of its sides?
Solution 
51
Discuss

Formula & Concept
How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?
Solution 
52
Discuss

Formula & Concept
A teacher has to choose the maximum different groups of three students from a total of six students. Of these groups, in how many groups there will be included in a particular student?
Solution 
53
Discuss

Formula & Concept
How many fourdigit numbers, each divisible by 4 can be formed using the digits 5, 6, 7, 8, 9, repetition of digits being allowed in any number?
Solution 
54
Discuss

Formula & Concept
There are seven pairs of black shoes and five pairs of white shoes. They are all put into a box and shoes are drawn one at a time. To ensure that at least one pair of black shoes are taken out, what is the number of shoes required to be drawn out?
Solution 
55
Discuss

Formula & Concept
How many 5 digit even numbers with distinct digits can be formed using the digits 1, 2, 5, 5, 4?
Solution 
56
Discuss

Formula & Concept
There are three rooms in a motel: one single, one double, and one for four persons. How many ways are there to house seven persons in these rooms?
Solution 
57
Discuss

Formula & Concept
If C(n, 7) = C(n, 5), find n
Solution 
58
Discuss

Formula & Concept
There are 8 orators A, B, C, D, E, F, G, and H. In how many ways can the arrangements be made so that A always comes before B and B always comes before C.
Solution 
59
Discuss

Formula & Concept
If ^{18}C_{r }= ^{18}C_{r+2 }; find ^{r}C_{5}.
Solution 
60
Discuss

Formula & Concept
The number of circles that can be drawn out of 10 points of which 7 are collinear is
Solution 
61
Discuss

Formula & Concept
How many rectangles can be formed out of a chess board ?
Solution 
62
Discuss

Formula & Concept
How many natural numbers can be made with digits 0, 7, 8 which are greater than 0 and less than a million?
Solution 
63
Discuss

Formula & Concept
One red flower, three white flowers, and two blue flowers are arranged in a line such that
Solution 
64
Discuss

Formula & Concept
Two variants of the CAT paper are to be given to 12 students. In how many ways can the students be placed in two rows of six each so that there should be no identical variants side by side and that the students sitting one behind the other should have the same variant. Find the number of ways this can be done
Solution 
65
Discuss

Formula & Concept
A, B, C, and D are four points, any three of which are noncollinear. Then, the number of ways to construct three lines each joining a pair of points so that the lines do not form a triangle is
Solution 
66
Discuss

Formula & Concept
How many numbers can be formed from 1, 2, 3, 4, 5 (without repetition), when the digit at the unit’s place must be greater than that in the ten’s place?
Solution 
67
Discuss

Formula & Concept
There are 6 letters for 3 envelopes. In how many different ways can the envelopes be filled?
Solution 
68
Discuss

Formula & Concept
From among the 36 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
Solution 
69
Discuss

Formula & Concept
The students in a class are seated, according to their marks in the previous examination. Once, it so happens that four of the students got equal marks and therefore the same rank. To decide their seating arrangement, the teacher wants to write down all possible arrangements one in each of separate bits of paper in order to choose one of these by lots. How many bits of paper are required?
Solution 
70
Discuss

Formula & Concept
In how many ways can a cricketer can score 200 runs with fours and sixes only?
Solution 
71
Discuss

Formula & Concept
There are 20 people among whom two are sisters. Find the number of ways in which we can arrange them around a circle so that there is exactly one person between the two sisters.
Solution 
72
Discuss

Formula & Concept
Seven different objects must be divided among three people. In how many ways can this be done if one or two of them must get no objects?
Solution 
73
Discuss

Formula & Concept
How many integers between 1000 and 10000 have no digits other than 4, 5, or 6?
Solution 
74
Discuss

Formula & Concept
A number lock on a suitcase has 3 wheels each labeled with 10 digits from 0 to 9. If the opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible?
Solution 
75
Discuss

Formula & Concept
If (n + 2)! = 2550 (n!); find ’n’
Solution 
76
Discuss

Formula & Concept
In how many ways can 10 people line up at a ticket window of a railway station?
Solution 
77
Discuss

Formula & Concept
How many words, with or without meaning, can be formed using all letters of the word EQUATION using each letter exactly once?
Solution 
78
Discuss

Formula & Concept
Ten participants are participating in a competition. In how many ways can the first three prizes be won?
Solution 
79
Discuss

Formula & Concept
It is required to seat 5 boys and 4 girls in a row so that the girls occupy the even places. How many such arrangements are possible?
Solution 
#  Quiz 