Mathematics ECAT Pre Engineering Online Test With Answers

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Mathematics ECAT Pre Engineering Online Test

Sr. # Questions Answers Choice
1 A function whose range is just one elements is called One-one function Constant function Onto function Identity function
2 The set of the first elements of the orders pairs forming a relations is called its Relation in B Range Domain Relation in A
3 If #n = (n-5)2+ 5, then find #3 x #4. 54 12 4 9
4
5 The set { {a, b} } is Infinite set Singleton set Two points set Empty set
6 Singleton set A set with two points Empty set None of these
7 Φset is the ______ of all sets? Subset Union Universal Intersection
8 In a country, 55% of the male population has houses in cities while 30% have houses both in cities and in village. Find the percentage of the population that has house only in villages. 45 30 25 50
9 Decimal part of irrational number is Terminating Repeating only Neither repeating nor terminating Repeating and terminating
10 Multiplicative inverse of 0 is 0 1 +-1 Does not exist
11 The identity elements with respect to subtraction is 0 1 -1 Does not exist
12 -x Infinite set {-4, 4} None of these
13 1/x -x 2x 0.5 x
14 Additive inverse of -a -b is a -a + b a - b a + b
15 If a set S contains "n" elements then P (S) has ...... number of elements 2<sup>n</sup> 2<sup>2n</sup> 2 . n n<sup>2</sup>
16 Multiplicative inverse of "1" is +- 1 0 1 None of these
17 The set {-1, 1} is closed under the binary operation of Addition Multiplication Subtraction Division
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19 The total number of subsets that can be formed out of the set {a, b, c} is 1 4 8 12
20 A = B B = C A = C None of these
21 1 12 5 29
22 Given X, Y are many two sets such that number of elements in X = 18, number of elements in set Y = 24, and number of elements in set X ∪ Y = 40, then number of elements in set X + Y = 3 1 2 4
23 In set builder notation the set {0, 1, 2, ............, 100} can be written as
24 A B A' None of these
25 For any set B, BUB' is Is set B Set B' Universal set None of these
26 The set (Z, +) forms a group Forms a group w.r.t. addition Non commutative group w.r.t. multiplication Forms a group w.r.t multiplication Doesn't form a group
27 The set (Q, .) Forms a group Does not form a group Contains no additive identity Contains no additive inverse
28 The statement that a group can have more than one identity elements is True False Fallacious Some times true
29 The set of all positive even integers is Not a group A group w.r.t. subtraction A group w.r.t. division A group w.r.t. multiplication
30 The set {1, -1, 1, -1}, form a group under Addition Multiplication Subtraction None
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