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Objective Questions

Latest CG Vyapam TGT Mathematics Exam Question (Objective Questions), MCQ in English

Subjects : Subject Specific Content (Mathematics), Child Development & Pedagogy, Language & General Studies

Question Bank CG Vyapam TGT (Mathematics) Exam - English
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Subject Specific Content (Mathematics)

Question 1Single Answer
Who is the author of the mathematical-astronomical treatise Aryabhatiya?
  1. A
    Brahmagupta
  2. B
    Aryabhata
  3. C
    Bhaskara II
  4. D
    Mahavira
Question 2Single Answer
Aryabhata is especially known for giving a close approximation to which mathematical constant?
  1. A
    Euler's number e
  2. B
    The golden ratio
  3. C
    Pi
  4. D
    Catalan's constant
Question 3Single Answer
Which explanation of eclipses is associated with Aryabhata's astronomical work?
  1. A
    Eclipses are caused by changes in planetary size
  2. B
    Eclipses occur because of shadows
  3. C
    Eclipses are caused by clouds in the upper atmosphere
  4. D
    Eclipses occur because stars temporarily lose light
Question 4Single Answer
The Kuttaka method in classical Indian mathematics was mainly used for solving:
  1. A
    Quadratic inequalities only
  2. B
    Differential equations
  3. C
    Matrix eigenvalue problems
  4. D
    Linear indeterminate equations
Question 5Single Answer
Who wrote the Brahmasphutasiddhanta?
  1. A
    Aryabhata
  2. B
    Bhaskara I
  3. C
    Brahmagupta
  4. D
    Madhava
Question 6Single Answer
Which of the following is a natural number?
  1. A
    7
  2. B
    1/2
  3. C
    0
  4. D
    -3
Question 7Single Answer
Which of the following is a whole number but is not a natural number under the convention N = {1, 2, 3, ...}?
  1. A
    -1
  2. B
    1/2
  3. C
    1
  4. D
    0
Question 8Single Answer
Which of the following is an integer?
  1. A
    sqrt(2)
  2. B
    3/5
  3. C
    2.7
  4. D
    -12
Question 9Single Answer
Which of the following is a rational number?
  1. A
    sqrt(3)
  2. B
    7/9
  3. C
    pi
  4. D
    sqrt(5)
Question 10Single Answer
Which of the following is irrational?
  1. A
    0.125
  2. B
    22/7
  3. C
    sqrt(7)
  4. D
    -4
Question 11Single Answer
Every integer is also a:
  1. A
    natural number
  2. B
    rational number
  3. C
    irrational number
  4. D
    positive number
Question 12Single Answer
The decimal expansion of a rational number is always:
  1. A
    non-terminating and non-recurring
  2. B
    always terminating
  3. C
    terminating or recurring
  4. D
    always non-recurring
Question 13Single Answer
Which set contains both rational and irrational numbers?
  1. A
    integers
  2. B
    real numbers
  3. C
    natural numbers
  4. D
    whole numbers
Question 14Single Answer
The additive identity in the real number system is:
  1. A
    -1
  2. B
    0
  3. C
    10
  4. D
    1
Question 15Single Answer
The multiplicative identity in the real number system is:
  1. A
    0
  2. B
    -1
  3. C
    2
  4. D
    1
Question 16Single Answer
Which of the following is an irrational number?
  1. A
    sqrt(2)
  2. B
    3/5
  3. C
    -7
  4. D
    0.25
Question 17Single Answer
Which of the following is a rational number?
  1. A
    0.125
  2. B
    sqrt(3)
  3. C
    pi
  4. D
    sqrt(7)
Question 18Single Answer
The decimal expansion of 7/20 is:
  1. A
    non-terminating recurring
  2. B
    non-terminating non-recurring
  3. C
    undefined
  4. D
    terminating
Question 19Single Answer
Every integer is also a:
  1. A
    rational number
  2. B
    natural number only
  3. C
    prime number
  4. D
    irrational number only
Question 20Single Answer
The sum of a rational number and an irrational number is always:
  1. A
    integer
  2. B
    rational
  3. C
    irrational
  4. D
    natural
Question 21Single Answer
The product of a non-zero rational number and an irrational number is:
  1. A
    always rational
  2. B
    irrational
  3. C
    always integer
  4. D
    always zero
Question 22Single Answer
Which set is closed under subtraction?
  1. A
    natural numbers only
  2. B
    prime numbers
  3. C
    positive integers only
  4. D
    real numbers
Question 23Single Answer
The additive inverse of sqrt(5) is:
  1. A
    -sqrt(5)
  2. B
    1/sqrt(5)
  3. C
    5
  4. D
    sqrt(5)
Question 24Single Answer
The multiplicative inverse of -3/7 is:
  1. A
    -3/7
  2. B
    7/3
  3. C
    -7/3
  4. D
    3/7
Question 25Single Answer
Between any two distinct real numbers there are:
  1. A
    infinitely many rational numbers
  2. B
    no rational numbers
  3. C
    exactly one rational number
  4. D
    exactly two rational numbers
Question 26Single Answer
In a right triangle, sin theta is equal to:
  1. A
    Opposite/Hypotenuse
  2. B
    Opposite/Adjacent
  3. C
    Hypotenuse/Opposite
  4. D
    Adjacent/Hypotenuse
Question 27Single Answer
In a right triangle, cos theta is equal to:
  1. A
    Hypotenuse/Adjacent
  2. B
    Opposite/Hypotenuse
  3. C
    Adjacent/Hypotenuse
  4. D
    Adjacent/Opposite
Question 28Single Answer
In a right triangle, tan theta is equal to:
  1. A
    Hypotenuse/Adjacent
  2. B
    Adjacent/Opposite
  3. C
    Opposite/Adjacent
  4. D
    Opposite/Hypotenuse
Question 29Single Answer
In a right triangle, cot theta is equal to:
  1. A
    Opposite/Adjacent
  2. B
    Adjacent/Hypotenuse
  3. C
    Adjacent/Opposite
  4. D
    Hypotenuse/Opposite
Question 30Single Answer
In a right triangle, sec theta is equal to:
  1. A
    Hypotenuse/Opposite
  2. B
    Adjacent/Hypotenuse
  3. C
    Opposite/Adjacent
  4. D
    Hypotenuse/Adjacent
Question 31Single Answer
An angle measuring 90 degrees is called a:
  1. A
    acute angle
  2. B
    right angle
  3. C
    obtuse angle
  4. D
    reflex angle
Question 32Single Answer
An angle greater than 90 degrees but less than 180 degrees is called a:
  1. A
    obtuse angle
  2. B
    right angle
  3. C
    acute angle
  4. D
    straight angle
Question 33Single Answer
Two angles whose sum is 90 degrees are called:
  1. A
    complementary angles
  2. B
    supplementary angles
  3. C
    vertically opposite angles
  4. D
    corresponding angles
Question 34Single Answer
Two angles whose sum is 180 degrees are called:
  1. A
    complementary angles
  2. B
    alternate angles
  3. C
    adjacent acute angles
  4. D
    supplementary angles
Question 35Single Answer
When two lines intersect, the opposite angles formed are called:
  1. A
    corresponding angles
  2. B
    co-interior angles
  3. C
    vertically opposite angles
  4. D
    alternate exterior angles
Question 36Single Answer
The area of a triangle with base b and corresponding height h is:
  1. A
    1/2 x b x h
  2. B
    b x h
  3. C
    2 x b x h
  4. D
    b + h
Question 37Single Answer
For a right triangle with perpendicular sides a and b, its area is:
  1. A
    a x b
  2. B
    1/2 x a x b
  3. C
    a + b
  4. D
    2 x a x b
Question 38Single Answer
If the base of a triangle is doubled while its height remains unchanged, its area becomes:
  1. A
    Unchanged
  2. B
    Half the original area
  3. C
    Four times the original area
  4. D
    Twice the original area
Question 39Single Answer
Find the area of a triangle with base 8 cm and height 5 cm.
  1. A
    40 cm^2
  2. B
    3 cm^2
  3. C
    28 cm^2
  4. D
    20 cm^2
Question 40Single Answer
Find the area of a triangle with base 12 cm and height 7 cm.
  1. A
    84 cm^2
  2. B
    42 cm^2
  3. C
    54 cm^2
  4. D
    5 cm^2
Question 41Single Answer
Data collected directly by an investigator for a specific study are called:
  1. A
    Continuous data
  2. B
    Secondary data
  3. C
    Grouped data
  4. D
    Primary data
Question 42Single Answer
Data obtained from published reports, records, or earlier studies are called:
  1. A
    Secondary data
  2. B
    Primary data
  3. C
    Raw data
  4. D
    Discrete data
Question 43Single Answer
The complete collection of all units under statistical study is known as the:
  1. A
    Sample
  2. B
    Frequency
  3. C
    Class interval
  4. D
    Population
Question 44Single Answer
A subset selected from a population for investigation is called a:
  1. A
    Census
  2. B
    Sample
  3. C
    Variable
  4. D
    Tally
Question 45Single Answer
When information is collected from every unit of a population, the method is called:
  1. A
    Sampling method
  2. B
    Census method
  3. C
    Randomization
  4. D
    Tabulation
Question 46Single Answer
A characteristic that can take different values from one observation to another is called a:
  1. A
    Class mark
  2. B
    Constant
  3. C
    Variable
  4. D
    Frequency
Question 47Single Answer
Which of the following is a qualitative variable?
  1. A
    Height
  2. B
    Weight
  3. C
    Number of books
  4. D
    Blood group
Question 48Single Answer
Which of the following is a quantitative variable?
  1. A
    Colour of a car
  2. B
    Number of students
  3. C
    Type of school
  4. D
    Marital status
Question 49Single Answer
The number of children in a family is an example of a:
  1. A
    Continuous variable
  2. B
    Qualitative variable
  3. C
    Discrete variable
  4. D
    Class boundary
Question 50Single Answer
Height of students is generally treated as a:
  1. A
    Discrete variable
  2. B
    Tally variable
  3. C
    Nominal variable
  4. D
    Continuous variable
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