ECAT Pre General Science Mathematics Chapter 9 Permutation, Combination & Probability Online Test With Answers

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ECAT Pre General Science Mathematics Chapter 9 Permutation, Combination & Probability Online Test

Sr. # Questions Answers Choice
1 In school there are 150 students Out of these 80 students enrolled for mathematics class 50 enrolled for English class and 60 enrolled for Physics class The student enrolled for English cannot attend any other class but the students of mathematics and Physics can take two courses at a time Find the number of students who have taken both physics and mathematics. 40 30 50 20
2 Which one is not defined∀n∈Z+ -n! n! (-n)! n!+0!=n!+1
3 Number of combination of zero or more things out of n different things nPn nPr nCr 2n
4 How many comittees of 5 numbers can be chosen from a group of 8 players person when each committee must include 2 particular persons 8! 5!3! 5! 20
5 How many 6-Digit number can be formed without repairing any digit from the digits 0,1,2,3,4,5 720 600 120 6-5!
6 Probability of an impossible event is 0 -1 1 ∞
7 A key ring is an example of Permutation Circular permutation Combination None
8 The factorial of a positive integers is a (an) Rational number Positive integer Real number None
9 How many different 5-digit even numbers are possible form digit 1,2,4,6,8 4 : 4! 4! 5! 4!+4!
10 If for two events A and B , P(A∪B)=1,then events A and B are Certain events Mutually exclusive Complementary events Independent
11 Number of selections of n different things out of n 1 nPr n! nPr
12 The number of 5-digit number that can be formed from the digits 1,2,4,6,8, when 2 and 8 are never together is 72 48 144 20
13 A box contains 10 red 30 white and 20 black marbles When a marble is drawn at random the probability that it is either red or white is 1/6 1/3 1/2 2/3
14 The number of permutation that can be formed from the letters of the word OBJECT is 700 600 720 620
15 If A is an event then which of the following is true P(A)<0 0≥P(A)≤1 P(A)>0 None
16 probability of a certain event is 0 -1 1 ∞
17 Product of any n consecutive positive integers is divisible by n √n n! None
18 The probability that a slip of numbers divisible by 4 is picked from the slips of number 1,2,3,4,......10 is 1/5 2/5 1/10 3/10
19 If S is a sample space and event set E =Φ then P(E) is >0 1 <1 0
20 If S is a sample space and event set E = S then P(E) is >0 1 <1 0
21 The number of combinations of 10 different objects taken 8 objects at a time is 90 45 55 50
22 nCn-r is equal to n! n-1Cr nCr None of these
23 If A and B are two disjoint events then P(A∪B)=P(A)+P(B) P(A∪B)=P(A)-P(A∪B) P(A∪B)=P(A)or P(B) None
24 An event having more than one sample point is called Certain event Compound event Simple event None
25 How many terms of the A.P 3,6,9,12,15...........must be taken to make the sum 108 8 6 7 36
26 Arithmetic mean between 14 and 18 is 16 17 15 32
27 The sum of all even numbers less than 100 is 2450 2352 2272 2468
28 The sum of all positive integral multiple of 5 less than 100 is 950 760 1230 875
29 The sum of all odd numbers between 100 and 200 is 6200 7500 6500 3750
30 The sum if 1,3,5,7,9........ up to 20 terms is 400 472 563 264
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