ECAT Pre General Science Mathematics Online Test With Answers

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ECAT Pre General Science Mathematics Online Test

Sr. # Questions Answers Choice
1 Number of selections of n different things out of n 1 nPr n! nPr
2 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
3 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
4 The number of permutation that can be formed from the letters of the word OBJECT is 700 600 720 620
5 If A is an event then which of the following is true P(A)<0 0≥P(A)≤1 P(A)>0 None
6 probability of a certain event is 0 -1 1 ∞
7 Product of any n consecutive positive integers is divisible by n √n n! None
8 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
9 If S is a sample space and event set E =Φ then P(E) is >0 1 <1 0
10 If S is a sample space and event set E = S then P(E) is >0 1 <1 0
11 The number of combinations of 10 different objects taken 8 objects at a time is 90 45 55 50
12 nCn-r is equal to n! n-1Cr nCr None of these
13 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
14 An event having more than one sample point is called Certain event Compound event Simple event None
15 How many terms of the A.P 3,6,9,12,15...........must be taken to make the sum 108 8 6 7 36
16 Arithmetic mean between 14 and 18 is 16 17 15 32
17 The sum of all even numbers less than 100 is 2450 2352 2272 2468
18 The sum of all positive integral multiple of 5 less than 100 is 950 760 1230 875
19 The sum of all odd numbers between 100 and 200 is 6200 7500 6500 3750
20 The sum if 1,3,5,7,9........ up to 20 terms is 400 472 563 264
21 The sides of a right angled triangle are in A.P The ratio of sides is 1:2:3 3:4:5 2:3:4 5:8:3
22 The nth term of an A.P is (3n+5) Its 75th term is 26 7 21 Cannot be determined
23 The5thand 13th terms of an A.P are 5 and-3 respectively The first term of the A.P is 1 -15 9 2
24 Which term of the A.P 5,8,11,24.............is 320 104th 106th 105th 64th
25 The sum of all 2 digit number is 4750 3776 4895 4905
26 The sum of first 60 natural numbers is 1830 3660 1640 1770
27 How many numbers are there between 103 and 750 which are divisible by 6 125 107 108 113
28 For an A.P common difference d Can be zero May or may not zero Cannot be zero None of these
29 For an arithmetic series to be convergent it is necessary that the series has Finite terms d<0 Infinite terms None of these
30 An infinite arithmetic series is always Convergent Oscillatory Divergent None of these
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