NATIONAL MANAGEMENT COLLEGE, THUDUPATHI.
CA FOUNDATION
PAPER – 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS
Revision test 6 (31.03.2022)
Time Allowed : ½ hour Maximum Marks: 25
1)If A = {1,2,3,4,5,6,7,8,9,} ,B = {1,3,4,5,7,8};C = {2,6,8,} then find (A-B) U C =
(a) {2,6,} (b) {2,6,8} (c) {2,6,8,9} (d) None of these
2) If f(x) = and g(x) = then ,
(a) g o f(3)= 3 (b) g o f (–3) = 9 (c) g o f(9) = 3 (d) g o f (–9) = 3
3) If A ={a, b, c, d}; B = {p, q, r ,s} which of the following relation is a function from A to B
(a) R1= {(a, p), (b, q),(c, s)} (b) R2 ={(p, a}, (b, r),(d, s)}
(c) R3 ={(b, p),(c, s),(b, r)} (d) R4 = {(a, p)(b, r)(c, q), (d, s)}
4) A= {1,2,3,4, …………… 10} a relation on A , R = { : } then Domain of R–1 is
(a) {1,2,3,4,5} (b) {0,3,5,7,9} (c) {1,2,4,5,6,7} (d) None of these
5) f(x) = f(x–1)+f(x–2) if f (0)= 0, f(1) = 1, x = 2, 3, 4, …….. then what is f (7) ,
- a) 8 ` (b) 13 (c) 3 (d) 5
6) f(x) = 2x3+1 then what is f–1(x) options
- a)b)c) d)none of these
7) Out of a group of 20 teachers in a school , 10 teach maths , 9 teach physics , and 7 teach chemistry . 4 teach mathematics and physics and none teach mathematics and chemistry . then how many teach chemistry and physics, and how many teach 0nly physics ?
a)2,3 b)3,2 c)4,6 d)6,4
8) If u(x) = then u-1(x) =
- a)b) c) d)
9) If a relation R = { (1,1) , (2,2), (1,2) ,(2,1)} is symmetric on A={ 1,2,3 } then R is a) Reflexive but not Transitive b) Transitive but not Reflexive c) Reflexive and Transitive c)Neither reflexive nor Transitive
10) Of the 200 candidates who were interviewed for a position call center , 100 had a two wheeler, 70 had a credit card and 140 had a mobile phone. 40 of them had both a two wheeler and a credit card , 30 had both a credit card and mobile phone , 60 had both a two wheeler and a mobile phone and 10 had all the three . How many candidates had none of them?
- a) 0 b)20 c) 10 d) 18
11) two finite sets have m and n element respectively . the total number of subsets of first set is 112 more than the total number of subsets of the second set . the value of m and n respectively are
- a) 5,2 b) 4,7 c) 7 , 4 d) 2 , 5
12) A survey shows that 70% of the Indian like mango where 82% like apple. If x % Indian like both mango and apples then
- a) x = 52 b) 52 ≤ x ≤70 c) x = 70 d) 70≤ x ≤ 82
13) A and B are two sets n(A –B) = 8 + 2x , n( B-A) = 6x and n(A∩B) = x
If n(A) = n(B) then n(A∩B) =
a)26 b)50 c) 24 d) none of these
14) Let R be the relation over the set N×N and is defined by (a,b) R (c,d) Þ a+d = b+c . Then R is
- a) reflexive only b) symmetric only
- c) transitive only d) an equivalence relation
15)The set of cubes of natural numbers
- a) finite set b) infinite set c)super set d) power set
16) On the set of lines, being perpendicular is a___________relation
A.Reflexive B.symmetric
C.transitive d.none of these
17) . Number of subsets of a set of order three is
A)2 B)4 C)6 D)8
18) . If n(A× B) = 6 and A = {1, 3} then n(B) is
A.)1 B)2 C)3 D)6
19) . Out 2000 staff 48% preferred coffee 54% tea and 64% cocoa. Of the total 28% used coffee and tea 32% tea and cocoa and 30% coffee and cocoa. Only 6% did none of these. Find the number having all the three.
- A) 360 B)280 C) 160 D) None
20) If f(x) = , x¹1 , then f(f(x)) =
a)-1/x b)1/x c) x d)2/X
21) If f (x) = 2x + h then find f(x+h) – 2f(x)
a)h -2x b)2x-h c)2x+h d) none of these
22) If A = { ±2 , ± 3} , B = { 1,4,9} and F = { (2,4) ,(-2,4) , (3,9) ,(-3,4) } then ‘F” is defined as :
- a) one to one function from A into B b) one to one function from A onto B
c)many to one function from A onto B b) many to one function from A into B
23) Let A = { 1,2,3} , then the relation R = {(1,1) ,(2,3),(2,2),(3,3),(1,2) } is
a)symmetric b) Transitive c) reflexive d) equivalence
24) Let R is the set of real numbers such that the function f: R ®R and g :R®R are defined by f(x) = x2 + 3x + 1 and g(x) = 2x-3 . Find (fog)
- a) 4x2+ 6x +1 b) x2+6x+1 c)4x2-6x+1 d)x2-6x+1
25)( S – A’) U A’ is
- a) A b)A’ c) S d) A U A’
