Explore topic-wise MCQs in Arithmetic Ability.

This section includes 225 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic Ability knowledge and support exam preparation. Choose a topic below to get started.

1.

Every recurring decimal or terminating decimal represents the

A. Rational number
B. Irrational number
C. Integer
D. Natural number
Answer» B. Irrational number
Discussion
2.

If A = { a,b,c }, B = {1, 2, 3}, f = {(a,1), (b,1), (c,1)} is

A. onto function
B. one-one function
C. identity function
D. constant function
Answer» E.
Discussion
3.

The range of f = { (a,1), (b, 1),(c,1)} is

A. {a,b,c }
B. {a}
C. {b}
D. {1}
Answer» B. {a}
Discussion
4.

Which of the following is the unary operation?

A. addition
B. multiplication
C. square root
D. None of the Above
Answer» D. None of the Above
Discussion
5.

Every integer is also

A. irrational number
B. whole number
C. natural number
D. rational number
Answer» E.
Discussion
6.

A ∩ ( A ∪ B ) =

A. ( A ∪ B) ∪ ( A ∪ C)
B. (A ∩ B) ∪ ( A ∩ C)
C. (A ∪ B) ∩ C
D. ( A ∪ B ) ∩ (A ∪ C)
Answer» C. (A ∪ B) ∩ C
Discussion
7.

{ - 3 n : n ε Z } IS an abelian group under

A. subtraction
B. division
C. multiplication
D. addition
Answer» E.
Discussion
8.

The additive property of order of real number is for all a,b,c,d belong to R

A. a > b Ʌ c > d this imply a + c = b + d
B. a > b Ʌ c > d this imply a + c < b + d
C. a > b Ʌ c > d this imply a + d > b + d
D. a > b Ʌ c > d this imply c > b + d
Answer» D. a > b Ʌ c > d this imply c > b + d
Discussion
9.

The identity element of a set X with respect to intersection in P(X) is

A. X
B. π
C. does not exist
D. 0
Answer» B. π
Discussion
10.

A ∪ B =

A. π
B. B ∩ A
C. A ∩ B
D. B ∪ A
Answer» E.
Discussion
11.

A bijective function is

A. both one-one and onto
B. one-one but not onto
C. onto but not one one
D. neither one one nor onto
Answer» B. one-one but not onto
Discussion
12.

The polar form of a complex number is

A. r ( tanθ + ιcotθ )
B. r(secθ + ιcosecθ )
C. r(cosθ + ιsinθ )
D. r (sinθ + ιcosθ)
Answer» D. r (sinθ + ιcosθ)
Discussion
13.

The extraction of a cube root of a given number is

A. binary operation
B. relation
C. unary operation
D. relation in some set
Answer» B. relation
Discussion
14.

If a, b are the elements of a group G, then (ba)-1 =

A. a-1 b-1
B. b-1 a-1
C. a-1 b
D. b-1 a
Answer» B. b-1 a-1
Discussion
15.

The action of wearing socks and shoes

A. do not commute
B. commute
C. does not exist
D. is associative
Answer» B. commute
Discussion
16.

The set of all non -singular matrices of order 2 forms a non -abelian group under

A. subtraction
B. division
C. multiplication
D. addition
Answer» D. addition
Discussion
17.

Z is a group under

A. subtraction
B. division
C. multiplication
D. addition
Answer» E.
Discussion
18.

Multiplicative property of order of real number is that for all a,b,c belong to R

A. a > b Ʌ c > 0 this imply ac < bc
B. a > b Ʌ c > 0 this imply ac > bc
C. a > b Ʌ c > 0 this imply ac ≤ bc
D. a > b Ʌ c > 0 this imply ac = bc
Answer» C. a > b Ʌ c > 0 this imply ac ≤ bc
Discussion
19.

The square root function is defined by the equation

A. Y = ± √x, x≥ 0
B. Y = √x, x < 0
C. y = √ x, x≥ 0
D. y = √x, x < 0
Answer» D. y = √x, x < 0
Discussion
20.

Every natural number is also

A. irrational number
B. Even integer
C. Negative integer
D. rational number
Answer» E.
Discussion
21.

If a, b, c are the elements of a group G, Then (abc)-1 =

A. a-1 b-1 c-1
B. ab-1 bc-1
C. c-1 b-1 a-1
D. None of the Above
Answer» D. None of the Above
Discussion
22.

Every odd integer is also

A. Rational number
B. Negative integer
C. Irrational number
D. Positive integer
Answer» B. Negative integer
Discussion
23.

If * is a binary operation in A then

A. A is closed under *
B. A is not closed under *
C. A is not closed under +
D. A is closed under -
Answer» B. A is not closed under *
Discussion
24.

for all n belong to Z, ( cosθ + ι sinθ )n

A. csc nθ + ι sin nθ
B. tannθ +ι cotnθ
C. cosnθ + ι sinnθ
D. cosnθ - ι sinnθ
Answer» D. cosnθ - ι sinnθ
Discussion
25.

The intersection of the two sets A and B is

A. A = B
B. A ≠ B
C. A ∪ B
D. A n B
Answer» E.
Discussion
26.

If z1 = 2 + ι, z2 = 1 + 3ι, then ι Re ( z1 - z2 ) =

A. 1
B. ι
C. 2 ι
D. 2
Answer» C. 2 ι
Discussion
27.

Transitive property of order of real numbers is that for all a, b,c belong R

A. a < bɅ b < c this imly a < c
B. a < b Ʌ b < c this imply a = c
C. a < b Ʌ b < c this imply a≥c
D. a < bɅ b < c this imply a > c
Answer» B. a < b Ʌ b < c this imply a = c
Discussion
28.

A subset f of A x B is said to be a function from A to B if domain of f is A and first element of order pairs of f

A. do not repeat
B. do not exist
C. repeat
D. the members of B
Answer» B. do not exist
Discussion
29.

Every even integer is also

A. Natural number
B. Irrational number
C. Rational number
D. Whole number
Answer» D. Whole number
Discussion
30.

|z1 - z2 | =

A. > |Z1| + |Z2|
B. ≤|Z1| + |Z2|
C. ≤ Z1 + Z2
D. > Z1 + Z2
Answer» C. ≤ Z1 + Z2
Discussion
31.

" + " is

A. binary operation on R
B. not a binary operation on R
C. a binary operation in Qc
D. not a binary operation in E
Answer» B. not a binary operation on R
Discussion
32.

In a group, ( G, * )

A. a + b ε G For all a, b ε G
B. ab ε G a, b ε G
C. a * b ε G For all a, b ε G
D. a - b ε G For all a, b ε G
Answer» D. a - b ε G For all a, b ε G
Discussion
33.

If G = { 1, -1, ι, - ι } is group under multiplication, then inverse of - ι is

A. 1
B. −1
C. ι
D. None of the Above
Answer» D. None of the Above
Discussion
34.

The function f = { (x,Y) | Y = mx + c } is

A. quadratic function
B. constant function
C. cubic function
D. linear function
Answer» E.
Discussion
35.

A ∪ ( B ∩ C ) =

A. ( A ∪ C) ∪ ( A ∪ C)
B. (B ∩ B) ∩ ( A ∩ C)
C. (A ∪ B) ∩ C
D. ( A ∪ B ) ∩ (A ∪ C)
Answer» E.
Discussion
36.

The negation of a given number is

A. binary operation
B. relation
C. unary operation
D. relation in some set
Answer» D. relation in some set
Discussion
37.

The identity element of a set X with respect to union in P(X) is

A. X
B. π
C. does not exist
D. 0
Answer» C. does not exist
Discussion
38.

If z = 5 -3( ι), then z inverse =

A. 5 /34 + (ι) 3⁄34
B. 5 /44 + (ι) 3⁄34
C. 5 /34 - (ι) 3⁄34
D. 5 /34 - (ι) 9⁄34
Answer» B. 5 /44 + (ι) 3⁄34
Discussion
39.

If a,b ε A, a * b ε A, then

A. * is a unary operation in A
B. a * b = b * a
C. * is a binary operation in A
D. a * b ≠ b * a
Answer» D. a * b ≠ b * a
Discussion
40.

If G = { 1, -1, ι, - ι } is group under multiplication, then inverse of ι is

A. 1
B. −1
C. ι
D. None of the Above
Answer» E.
Discussion
41.

If z1 = 2 + ι, z2 = 2 + ι, then Im ( z1 + z2 )

A. 3
B. 3ι
C. 2
D. 2ι
Answer» B. 3ι
Discussion
42.

{ 3 n : n ε Z } is an abelian group under

A. subtraction
B. division
C. multiplication
D. addition
Answer» D. addition
Discussion
43.

For all a,b belong R, a ≠ 0, b ≠ 0, 1 /a > 1⁄b this imply

A. a < b
B. a > b
C. a = b
D. 1⁄a < 1⁄b
Answer» B. a > b
Discussion
44.

The union of two sets A and B is

A. A = B
B. A ≠ B
C. A ∪ B
D. A ∩ B
Answer» D. A ∩ B
Discussion
45.

|z1 + z2 | =

A. > |Z1| + |Z2|
B. ≤|Z1| + |Z2|
C. ≤ Z1 + Z2
D. > Z1 + Z2
Answer» C. ≤ Z1 + Z2
Discussion
46.

The graph of the quadratic function represents

A. triangle
B. circle
C. straight line
D. parabola
Answer» E.
Discussion
47.

The squaring a given number is a

A. relation in some set
B. relation
C. unary operation
D. binary operation
Answer» E.
Discussion
48.

The extraction of a square root of a given number is

A. binary operation
B. relation
C. unary operation
D. relation in some set
Answer» D. relation in some set
Discussion
49.

A closed set with respect to some binary operation is called semi- group if

A. * is associative
B. * is commutative
C. * is anti-commutative
D. identity element exists
Answer» B. * is commutative
Discussion
50.

If a, b are the elements of a group G, then (ab)-1 =

A. a-1 b-1
B. b-1 a-1
C. a-1 b
D. b-1 a
Answer» C. a-1 b
Discussion