MATHS: Combination and Probability Online Test

I forgot the last digit of a 7-digit telephone number. If I randomly dial the final 3 digits after correctly dialing the first four, then what is the chance of dialing the correct number?
1/1001
1/990
1/999
1/1000
A bag contains 2 red, 3 green and 2 blue balls. 2 balls are to be drawn randomly. What is probability that the balls drawn contain no blue ball?
5/7
10/21
2/7
11/21
If the probability that A will live 15 years is 7/8 and that B will live 15 years is 9/10, then what is the probability that both will live after 15 years?
1/20
63/80
1/5
None of these
Three boys and three girls are to be seated around a table in a circle. Among them the boy X does not want any girl neighbour and the girl Y does not want any body neighbour. How many such arrangements are possible?
5
6
4
2
A box contains 10 balls out of which 3 are red and the rest are blue. In how many ways can a random sample of 6 balls be drawn from the bag so that at the most 2 red balls are included in the sample and no sample has all the 6 balls of the same colour?
105
168
189
120
In an examination paper there are two groups each containing 4 questions. A candidate is required to attempt 5 questions but not more than 3 questions from any group. In how many ways can 5 questions be selected?
24
48
96
None of these
Find the number of ways in which 8064 can be resolved as the product of two factors/
20
21
22
24
Suppose six coins are flipped. Then the probability if getting at least one tail is:
71/71
53/54
63/64
1/12
Eight chairs are numbered from 1 to 8. Two women and three men wish to occupy one chair each. First the women chose the chairs from amongst the chairs marked 1 to 4. Then the man selected the chairs from amongst the remaining marked 5 to 8. Then number of possible arrangements is:
4C3 x 4C4
4P2 x 4P2
4C3 x 4P3
4C2 x 4C3
Ten different letters of an alphabet are given words with 5 letters are formed from these given letter. Then the number of words which have at least one letter repeated is:
69760
30240
99748
None of these
Four different objects 1,2,3,4 are distributed at random in four places marked 1,2,3,4. What is the probability that none of the objects occupy the place corresponding to its number?
17/24
3/8
½
5/8
In how many ways can six different rings be worn on four fingers of one hand?
10
12
15
16
A bag has 4 red and 5 black balls. A second bag has 3 red and 7 black balls. One ball is drawn from the first bag and two from the second. The probability that there are two black balls and red ball is:
14/45
11/45
7/15
9/54
A dice is thrown 6 times. If “getting an odd number” is a “success”. The probability of 5 successes is:
1/10
3/32
5/6
25/26
A bag contains 5 white, 7 red and 8 black balls. If 4 balls are drawn one by one with replacement, what is the probability that all are white?
1/256
1/16
4/20
4/8
If two dice are tossed simultaneously, the number of elements in the resulting sample space is:
6
8
36
24
Atal can hit a target 3 times in 6 shots, Bhola can hit the target 2 times in 6 shots and Chandra can hit the 4 times in 4 shots. What is the probability that at least 2 shots hit the target?
1/2
2/3
1/3
5/6
A coin is tossed 5 times. What is the probability that head appears an odd number of times?
2/5
1/5
1/2
4/25
Course materials are sent to students by a distance teaching institution. The probability that they will send a wrong programme’s study material is 1/5. There is a probability of 3/4 that the package is damaged in transit, and there is a probability of 1/3 that there is a short shipment. What is the probability that the complete material for the course arrives without any damage in transit?
4/5
8/60
8/15
4/20
A boy has 3 library cards and 8 books of his interest in the library. Of these 8, he does not want to borrow chemistry part unless Chemistry part I is also borrowed. In how many ways can he choose the three books to be borrowed?
56
27
26
41
From amongst 36 teachers in a school, one principal and one vice-principal are to be appointed. In how many ways can this be done?
1260
1250
1240
1800
A batsman makes scores of 98 runs in the 19th innings and thus increases his average by 4. What is the average after 19th innings?
22
24
28
26
Nine persons went to a hotel for taking their meals. Eight of them spent Rs.12 each over their meals and the ninth spent Rs. 8 more than the average expanding of all the nine. Total money spent by them was:
Rs.104
Rs.105
Rs.116
Rs.117
The batting average of 40 innings of a cricket player is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are exceeded the average of the remaining 38 innings is 48. his highest score was:
172
173
174
176
A programmer noted the results of attempting to run 20 programs. The results showed that 2 programs ran correctly in the first attempt, 7 ran correctly in the second attempt, 5 ran correctly in the third attempt, 4 ran correctly in the fourth attempt, 2 ran correctly in the fifth attempt. What is the probability that his next program will run correctly on the third run?
¼
1/3
1/6
1/5
Description:

This paper has 25 questions which are required to be finished in half an hours time.

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MAT

Discussion

ABDULRAHIMAN ALLY

i want to know how many combination of 6numbers are there from 1 to 40 both nos included

4555 days 2 hours 14 minutes ago

Kalyan Sarkar
Psychological interventions in Mathematics Study
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