80 + Mcqs in General Page 2 McqOptions

51.	A box contains 4 black, 3 red and 6 green marbles. 2 marbles are drawn from the box at random. What is the probability that both the marbles are of the same color?
A.	12/74
B.	24/78
C.	13/78
D.	None of these
Answer» C. 13/78

Discussion

52.	There are 30 people in a party. If everyone is to shake hands with one another, how many hand shakes are possible?
A.	180
B.	256
C.	386
D.	435
Answer» E.

Discussion

53.	There are 8 routes from London to Delhi. And there are 6 routes from Delhi to Tokyo. In how many different ways can Raj travel from London to Tokyo via Delhi?
A.	100
B.	48
C.	24
D.	14
Answer» C. 24

Discussion

54.	4 members form a group out of total 8 members. (i) In how many ways it is possible to make the group if two particular members must be included. (ii) In how many ways it is possible to make the group if two particular members must not be included?
A.	15 and 360
B.	15 and 15
C.	30 and 360
D.	360 and 360
Answer» C. 30 and 360

Discussion

55.	A bank has 6 digit account number with no repetition of digits within a account number. The first and last digit of the account numbers is fixed to be 4 and 7. How many such account numbers are possible?
A.	10080
B.	5040
C.	890
D.	1680
Answer» E.

Discussion

56.	There are 35 people in a group. There are 12 school girls, 10 school boys, 5 senior citizens and 8 babies in the group. The organizer of the group wants to select a school girl or a school boy as leader of the group. In how many ways can he do so?
A.	22
B.	1/2
C.	13
D.	35
Answer» B. 1/2

Discussion

57.	If Suraj doesn t want three vowels together, then in how many, can he arrange letters of the word 'MARKER'?
A.	500
B.	720
C.	240
D.	360
Answer» D. 360

Discussion

58.	A trekking group is to be formed having 6 members. They are to be selected from 3 girls, 4 boys and 5 teachers. In how many ways can the group be formed so that there are 3 teachers and 3 boys or 2 girls and 4 teachers?
A.	55
B.	90
C.	27
D.	144
Answer» B. 90

Discussion

59.	Without repetition, using digits 2, 3, 4, 5, 6, 8 and 0, how many numbers can be made which lie between 500 and 1000?
A.	70
B.	147
C.
D.	D.
Answer» E.

Discussion

60.	A box contains 2 white, 3 black and 5 red balls. In how many ways can three balls be drawn from the box if at least one black ball is to be included in the draw?
A.	29
B.	36
C.	48
D.	85
Answer» E.

Discussion

61.	A person ordered 5 pairs of black socks and some pairs of brown socks. The price of a black pair was thrice that of a brown pair while preparing the bill the bill clerk inter-changed the number of black and brown pairs by mistake which increased the bill by 100% what was the number of pair of brown socks in the original order?
A.	10
B.	15
C.	20
D.	25
Answer» E.

Discussion

62.	A two number committee comprising of one male and the female number is to be constituted out of five male and 3 females. Amongst the females, Ms. A refused to be number committee in which Mr.B is taken as the number of how many different ways can the committee be constituted?
A.	11
B.	30
C.	14
D.	20
Answer» D. 20

Discussion

63.	There are 5 tasks and 5 persons, Task 1 cannot be assigned to either person 1 or person 2, Task 2 must be assigned to either person-3 or person-4 every person is to be assigned one task, In how many ways can the assignment be done?
A.	6
B.	12
C.	24
D.	144
Answer» D. 144

Discussion

64.	In how many ways can the letters of the word INDIA be arranged, such that all vowels are never together?
A.	48
B.	42
C.	28
D.	36
Answer» C. 28

Discussion

65.	A selection is to be made for one post of principal and two posts of vice-principal amongst the six candidates called for the interview only two are eligible for the post of principal while they all are eligible for the post of vice-principal. The number of possible combinations of selectees is
A.	4
B.	12
C.	18
D.	None of these
Answer» E.

Discussion

66.	A student has to opt for 2 subjects out of 5 subjects for a course. Namely commerce, economics, statistics, mathematics 1 and Mathematics 2, Mathematics 2 can be offered only if mathematics 1 has also opted. The number of different combinations of two subjects which can be opted is
A.	5
B.	6
C.	7
D.	18
Answer» D. 18

Discussion

67.	Mayur travels from Mumbai to Jammu in 7 different ways. But he is allowed to return to Mumbai by any way except the one he used earlier. In how many ways can he complete his journey?
A.	49
B.	42
C.	48
D.	6
Answer» C. 48

Discussion

68.	A locker in bank has 3 digit lock. Mahesh forgot his password and was trying all possible combinations. He took 6 seconds for each try. The problem was that each digit can be from 0 to 9. How much time will be needed to by Mahesh to try all the combinations?
A.	90 minutes
B.	120 minutes
C.	60 minutes
D.	100 minutes
Answer» E.

Discussion

69.	In Daya s bag there are 3 books of History, 4 books of Science and 2 books of Maths. In how many ways can Daya arrange the books so that all the books of same subject are together?
A.	9
B.	6
C.	8640
D.	1728
Answer» E.

Discussion

70.	On a railway line there are 20 stops. A ticket is needed to travel between any 2 stops. How many different tickets would the government need to prepare to cater to all possibilities?
A.	760
B.	190
C.	380
D.	72
Answer» D. 72

Discussion

71.	How many combinations are possible while selecting four letters from the word SMOKEJACK with the condition that J must appear in it?
A.	81
B.	8/2
C.	3/2
D.	41
Answer» E.

Discussion

72.	In a room there are 2 green chairs, 3 yellow chairs and 4 blue chairs. In how many ways can Raj choose 3 chairs so that at least one yellow chair is included?
A.	3
B.	30
C.	64
D.	84
Answer» D. 84

Discussion

73.	In Cricket League, in first round every team plays a match with every other team. 9 teams participated in the Cricket league. How many matches were played in the first round?
A.	36
B.	72
C.	9
D.	9 - 1
Answer» B. 72

Discussion

74.	There are 30 people in a group. If all shake hands with one another , how many handshakes are possible?
A.	870
B.	435
C.	30
D.	29 + 1
Answer» C. 30

Discussion

75.	In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
A.	120
B.	720
C.	4320
D.	2160
Answer» C. 4320

Discussion

76.	In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?
A.	10080
B.	4989600
C.	120960
D.	None of these
Answer» D. None of these

Discussion

77.	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?
A.	63
B.	90
C.	126
D.	45
Answer» B. 90

Discussion

78.	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?
A.	32
B.	48
C.	64
D.	96
Answer» D. 96

Discussion

79.	In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
A.	266
B.	5040
C.	11760
D.	86400
Answer» D. 86400

Discussion

80.	How many 3-digit 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?
A.	5
B.	10
C.	15
D.	20
Answer» E.

Discussion

Explore topic-wise MCQs in Permutations & Combinations.

A box contains 4 black, 3 red and 6 green marbles. 2 marbles are drawn from the box at random. What is the probability that both the marbles are of the same color?

There are 30 people in a party. If everyone is to shake hands with one another, how many hand shakes are possible?

There are 8 routes from London to Delhi. And there are 6 routes from Delhi to Tokyo. In how many different ways can Raj travel from London to Tokyo via Delhi?

4 members form a group out of total 8 members. (i) In how many ways it is possible to make the group if two particular members must be included. (ii) In how many ways it is possible to make the group if two particular members must not be included?

A bank has 6 digit account number with no repetition of digits within a account number. The first and last digit of the account numbers is fixed to be 4 and 7. How many such account numbers are possible?

There are 35 people in a group. There are 12 school girls, 10 school boys, 5 senior citizens and 8 babies in the group. The organizer of the group wants to select a school girl or a school boy as leader of the group. In how many ways can he do so?

If Suraj doesn t want three vowels together, then in how many, can he arrange letters of the word 'MARKER'?

A trekking group is to be formed having 6 members. They are to be selected from 3 girls, 4 boys and 5 teachers. In how many ways can the group be formed so that there are 3 teachers and 3 boys or 2 girls and 4 teachers?

Without repetition, using digits 2, 3, 4, 5, 6, 8 and 0, how many numbers can be made which lie between 500 and 1000?

A box contains 2 white, 3 black and 5 red balls. In how many ways can three balls be drawn from the box if at least one black ball is to be included in the draw?

A two number committee comprising of one male and the female number is to be constituted out of five male and 3 females. Amongst the females, Ms. A refused to be number committee in which Mr.B is taken as the number of how many different ways can the committee be constituted?

There are 5 tasks and 5 persons, Task 1 cannot be assigned to either person 1 or person 2, Task 2 must be assigned to either person-3 or person-4 every person is to be assigned one task, In how many ways can the assignment be done?

In how many ways can the letters of the word INDIA be arranged, such that all vowels are never together?

A selection is to be made for one post of principal and two posts of vice-principal amongst the six candidates called for the interview only two are eligible for the post of principal while they all are eligible for the post of vice-principal. The number of possible combinations of selectees is

A student has to opt for 2 subjects out of 5 subjects for a course. Namely commerce, economics, statistics, mathematics 1 and Mathematics 2, Mathematics 2 can be offered only if mathematics 1 has also opted. The number of different combinations of two subjects which can be opted is

Mayur travels from Mumbai to Jammu in 7 different ways. But he is allowed to return to Mumbai by any way except the one he used earlier. In how many ways can he complete his journey?

A locker in bank has 3 digit lock. Mahesh forgot his password and was trying all possible combinations. He took 6 seconds for each try. The problem was that each digit can be from 0 to 9. How much time will be needed to by Mahesh to try all the combinations?

In Daya s bag there are 3 books of History, 4 books of Science and 2 books of Maths. In how many ways can Daya arrange the books so that all the books of same subject are together?

On a railway line there are 20 stops. A ticket is needed to travel between any 2 stops. How many different tickets would the government need to prepare to cater to all possibilities?

How many combinations are possible while selecting four letters from the word SMOKEJACK with the condition that J must appear in it?

In a room there are 2 green chairs, 3 yellow chairs and 4 blue chairs. In how many ways can Raj choose 3 chairs so that at least one yellow chair is included?

In Cricket League, in first round every team plays a match with every other team. 9 teams participated in the Cricket league. How many matches were played in the first round?

There are 30 people in a group. If all shake hands with one another , how many handshakes are possible?

In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?

In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?

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?

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?

In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

How many 3-digit 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?