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Objective Questions

Latest Bihar ITI CAT Exam Question (Objective Questions), MCQ in English

Subjects : Mathematics, General Science, General Knowledge

Question Bank Bihar ITI CAT Exam - English
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Mathematics

Question 1Single Answer
The elements of the set {x : x is an integer, x2 : 4} can be represent as .....Z..... . Here, Z refers to
  1. A
    {–2, 2} 
  2. B
    {–1, 0, 1}
  3. C
    {–2, –1, 0, 1, 2}
  4. D
    {0, 1, 2}
Question 2Single Answer
 
  1. A
  2. B
  3. C
  4. D
    None of these
Question 3Single Answer
If Y = {x : x is a positive factor of the number 2p – 1(2p – 1), where 2p – 1 is a prime number}, then Y can be represent in roster form as
  1. A
    {2}
  2. B
    {1, 2}  
  3. C
    {1, 2, 22, ....., 2p – 1}
  4. D
    {1, 2, 22, 23,.... 2p – 1, (2p – 1)}
Question 4Single Answer
The set {x : x is a positive integer less than 6 and 3x – 1 is an even number} in roster form is
  1. A
    {1, 2, 3, 4, 5}
  2. B
    {1, 2, 3, 4, 5, 6}  
  3. C
    {2, 4, 6}
  4. D
    {1, 3, 5}
Question 5Single Answer
If A B and A B, then
  1. A
    A is called a proper subset of B
  2. B
    A is called a super set of B
  3. C
    A is not a subset of B 
  4. D
    B is a subset of A
Question 6Single Answer
The number of non-empty subsets of the set{1, 2, 3, 4} is
  1. A
    15
  2. B
    14
  3. C
    16
  4. D
    17
Question 7Single Answer
The number of elements of the power set of a set containing m elements is
  1. A
    2m – 1
  2. B
    m 
  3. C
    m2
  4. D
    2m
Question 8Single Answer
If A = {x : x = n2, n = 1, 2, 3}, then number of proper subsets is
  1. A
    3
  2. B
    8
  3. C
    7
  4. D
    None of these
Question 9Single Answer
If A = {x : x = 4n + 1, 2 £ n £ 5},then number of subsets of A is
  1. A
    16
  2. B
    15  
  3. C
    4 
  4. D
    None of these 
Question 10Single Answer
Let A and B be two non-empty subsets of a set X such that A is not a subset of B, then
  1. A
    A is always a subset of the complement of B
  2. B
    B is always a subset of A  
  3. C
    A and B are always disjoint
  4. D
    A and the complement of B are always non-disjoint  
Question 11Single Answer
Which of the following is/are empty set? 
A = {x : x2 + x + 1 = 0 and x Î Z}   B = {x : x is a prime number and 19 < x < 23}
  1. A
    A
  2. B
    B  
  3. C
    Both A and B
  4. D
    None of the above 
Question 12Single Answer
The set {x : x4 = 1 and x R} is .....X.... set. Here, X refers to
  1. A
    empty
  2. B
    finite
  3. C
    infinite
  4. D
    singleton 
Question 13Single Answer
The universal set for the sets   
A = {x : x2 – 5x + 6 = 0} and   
B = {x : x2 – 3x + 2 = 0} having least number of elements is
  1. A
    {1, 2}
  2. B
    {1, 3}
  3. C
    {1, 2, 3}
  4. D
    {0, 1, 2, 3}
Question 14Single Answer
If A = {1, 2, 3}, B = {x € R : x2 – 2x + 1 = 0}, 
C = {1, 2, 2, 3} and 
D = {x € R : x3 – 6x2 + 11x – 6 = 0}, then the equal sets are
  1. A
    A and B
  2. B
    A and C  
  3. C
    A, B and C 
  4. D
    A, C and D
Question 15Single Answer
If A = (–3, 5) and  B = [–7, 9], then
  1. A
    A = B
  2. B
    A B 
  3. C
    B A
  4. D
    None of these 
Question 16Single Answer
Two finite sets have m and n elements, respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The value of m and n respectively are
  1. A
    7, 6
  2. B
    5, 1
  3. C
    6, 3
  4. D
    8, 7
Question 17Single Answer
Combine terms: 12a + 26b  - 4b – 16a .
  1. A
    4a + 22b
  2. B
    -28a + 30b
  3. C
    -4a + 22b
  4. D
    28a + 30b
Question 18Single Answer
The average of first 50 natural numbers is ………… .
  1. A
    25.30
  2. B
    25.5
  3. C
    25.00
  4. D
    12.25
Question 19Single Answer
60 Times of 8 Equals to
  1. A
    480
  2. B
    300
  3. C
    250
  4. D
    400
Question 20Single Answer
Consider the sets
A = {x : x is a real number and x2 + 1 = 0}
B = {x : x is a real number and x2 – 16 = 0}
C = {x : x is a real number and x2 = x + 2}
Which of the following is are null set ?
  1. A
    A
  2. B
    A and B
  3. C
    A and C
  4. D
    A, B and C
Question 21Single Answer
If X = {4n – 3n – 1: n Î N} and Y = {9(n – 1): n Î N}; where N is the set of natural numbers, then X È Y is equal to
  1. A
    N
  2. B
    Y – X
  3. C
    X
  4. D
    Y
Question 22Single Answer
Which of the following is / are correct?
I. {2, 3, 4} {1, 2, 3, 4, 5}
II. {a, b, c} {b, c, d}
III. {x : x is an equilateral triangle in a plane} Ì {x : x is a triangle in the same plane}
IV. {x : x is an even natural number} {x : x is an integer}
  1. A
    I and III are correct
  2. B
    II and III are correct  
  3. C
    Only IV is correct 
  4. D
    All above are correct 
Question 23Single Answer
  1. A
  2. B
  3. C
  4. D
Question 24Single Answer
Consider the following statements :
1. The set of all irrational numbers between √2 and √5 is an infinite set .
2. The set of all odd integers less than 100 is a finite set .
Which of the statements given above is/are correct ?
  1. A
    1 only
  2. B
    2 only
  3. C
    Both 1 and 2
  4. D
    Neither 1 nor 2
Question 25Single Answer
What is the Next Prime Number after 7 ?
  1. A
    13
  2. B
    12
  3. C
    14
  4. D
    11
Question 26Single Answer
If A and B are two given sets, then A (A B)C is equal to
  1. A
    A
  2. B
    B
  3. C
  4. D
Question 27Single Answer
121 Divided by 11 is
  1. A
    11
  2. B
    10
  3. C
    19
  4. D
    18
Question 28Single Answer
Let X be the universal set for sets A and B, if n(A) = 200, n(B) = 300 and n = 100, then n is equal to 300 provided n(X) is equal to
  1. A
    600
  2. B
    700
  3. C
    800
  4. D
    900
Question 29Single Answer
  1. A
    {3, 4, 10}
  2. B
    {2, 8, 10}
  3. C
    {4, 5, 6}
  4. D
    {3, 5, 14}
Question 30Single Answer
Let A = {x : x is a prime factor of 240} B = {x : x is the sum of any two prime factors of 240}, then
  1. A
  2. B
  3. C
  4. D
Question 31Single Answer
In a college  part girls and  part boys attended a social camp. How many parts in the collegs students attended the camp ?
  1. A
  2. B
  3. C
  4. D
  5. E
    None of the above
Question 32Single Answer
The sum of two number is 16 and their difference is 2. What is the product to both numbers ?
  1. A
    35
  2. B
    56
  3. C
    56
  4. D
    72
Question 33Single Answer
What are the positive factors of 160 .
  1. A
    6
  2. B
    8
  3. C
    5
  4. D
    12
Question 34Single Answer
What is the value of (51 + 52 + 53 ........100) ?
  1. A
    1325
  2. B
    5050
  3. C
    3775
  4. D
    3325
Question 35Single Answer
What is the sum of all natural numbers that come in the between 1 to 100, which a multiple of 7 ?
  1. A
    735
  2. B
    745
  3. C
    675
  4. D
    705
Question 36Single Answer
What is the unit digit of 279 + 167 × 342 ?
  1. A
    1
  2. B
    3
  3. C
    5
  4. D
    8
Question 37Single Answer
Which of the given values is completely divisible by 15 ?
  1. A
    2365
  2. B
    1375
  3. C
    4365
  4. D
    2275
Question 38Single Answer
For which value of M, the divisor 34M fully divisible by 12 ?
  1. A
    2
  2. B
    0
  3. C
    8
  4. D
    6
Question 39Single Answer
If 432p1 is completely divisiable 34M fully divisiable by 12 ?
  1. A
    1
  2. B
    8
  3. C
    7
  4. D
    2
Question 40Single Answer
Which is the smallest number to be added to 100, so that the resulting number is completely divisible by 6 ?
  1. A
    2
  2. B
    3
  3. C
    5
  4. D
    4
Question 41Single Answer
When a number is divided by 80, the remainded is 20. When the same number is divided by 16, what will be the remainder ?
  1. A
    2
  2. B
    4
  3. C
    6
  4. D
    8
Question 42Single Answer
Which of the fractions is the largest among   and  ?
  1. A
  2. B
  3. C
  4. D
    All are equal
Question 43Single Answer
What is the two digits largest prime number ?
  1. A
    91
  2. B
    93
  3. C
    97
  4. D
    99
Question 44Single Answer
What is the sum of first 15 odd natural numbers ?
  1. A
    255
  2. B
    225
  3. C
    235
  4. D
    215
Question 45Single Answer
What will be the sum of all natural numbers from 75 to 97 ?
  1. A
    1598
  2. B
    1978
  3. C
    1798
  4. D
    1958
Question 46Single Answer
If the quotient  of is positive, which of the following would be true ?
  1. A
    a > 0
  2. B
    b > 0
  3. C
    ab > 0
  4. D
    a + b > 0
Question 47Single Answer
If the last two digits of a three-digit number is multiple of 6, then the original integer will always be divisible by ?
  1. A
    6
  2. B
    3
  3. C
    2
  4. D
    12
Question 48Single Answer
Find three consecutive numbers, in which sum of the two times of the first, three of second and four time of the third number os 191 ?
  1. A
    19, 20, 21
  2. B
    21, 22, 23
  3. C
    20, 21, 22
  4. D
    22, 23, 24
Question 49Single Answer
An office has 108 table and 132 chairs. If  tables and  of the chairs are broken, then how many people can work in the office, if required 1 table and 1 chair ?
  1. A
    86
  2. B
    90
  3. C
    90
  4. D
    99
Question 50Single Answer
If the sum of two numbers is a and the product is b, then what will be the sum of their reciprocal ?
  1. A
  2. B
  3. C
  4. D
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