ECAT Mathematics MCQ's Test For Full Book With Answers

ECAT Mathematics MCQ's Test For Full Book

Sr. # Questions Answers Choice
1 The coefficient of xn in the expansion of (1-2x)-1 is (-1)n2n 2n (-1)(n+1)xr (n+1)2n
2 The proposition S(n) is true∀n∈N,S(k+1) true when ______is true S(1) Both a & c S(k) None
3 There is no integer n for which 3n is Even Prime Odd Real
4 The sum even binomial coefficient of (3+2x)5 is ______term 16 30 8 32
5 Which one is not defined∀n∈Z+ -n! n! (-n)! n!+0!=n!+1
6 Number of combination of zero or more things out of n different things nPn nPr nCr 2n
7 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
8 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!
9 Probability of an impossible event is 0 -1 1 ∞
10 A key ring is an example of Permutation Circular permutation Combination None
11 The factorial of a positive integers is a (an) Rational number Positive integer Real number None
12 How many different 5-digit even numbers are possible form digit 1,2,4,6,8 4 : 4! 4! 5! 4!+4!
13 If for two events A and B , P(A∪B)=1,then events A and B are Certain events Mutually exclusive Complementary events Independent
14 Number of selections of n different things out of n 1 nPr n! nPr
15 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
16 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
17 The number of permutation that can be formed from the letters of the word OBJECT is 700 600 720 620
18 If A is an event then which of the following is true P(A)<0 0≥P(A)≤1 P(A)>0 None
19 probability of a certain event is 0 -1 1 ∞
20 Product of any n consecutive positive integers is divisible by n √n n! None
21 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
22 If S is a sample space and event set E =Φ then P(E) is >0 1 <1 0
23 If S is a sample space and event set E = S then P(E) is >0 1 <1 0
24 The number of combinations of 10 different objects taken 8 objects at a time is 90 45 55 50
25 nCn-r is equal to n! n-1Cr nCr None of these
26 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
27 An event having more than one sample point is called Certain event Compound event Simple event None
28 How many terms of the A.P 3,6,9,12,15...........must be taken to make the sum 108 8 6 7 36
29 Arithmetic mean between 14 and 18 is 16 17 15 32
30 The sum of all even numbers less than 100 is 2450 2352 2272 2468
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