ABOUT 53 MATHEMATICS TRUE OR FALSE NSMQ PAST QUESTIONS

Every triangle has a center of symmetry.

ANSWER: FALSE

An isosceles triangle has a center of symmetry.

ANSWER: FALSE

An equilateral triangle has a center of symmetry.

ANSWER: FALSE

y = 2sinx has a maximum value at x = π.

ANSWER: FALSE

y = 3cosx has a maximum value at x = π.

ANSWER: FALSE

y = tanx has a maximum value at x = π.

ANSWER: FALSE

NSMQ PAST QUESTION; CHEMISTRY (02)

NSMQ Past Question; Chemistry (03)

NSMQ Past Question; Chemistry (01)

3 > √8

ANSWER: TRUE

2√7 > 3√3

ANSWER: TRUE

3√5 > 4√3

ANSWER: FALSE

If the sum of the interior angles of a triangle is 300°, then it is a rectangle.

ANSWER: TRUE

If 3 + 6 = 10, then 3 x 6 = 15.

ANSWER: TRUE

If the interior angle of a rectangle measures 120°, then it is a pentagon.

ANSWER: TRUE

4a² + 6ab + 9b² = (2a + 3b)²

ANSWER: FALSE

(5a – 2b)² = 25a² – 20ab + 4b²

ANSWER: TRUE

9a² + 24ab + 16b² = (3a + 4b)²

ANSWER: TRUE

A triangle fits its outline in three positions.

ANSWER: FALSE

A parallelogram fits its outline in two positions.

ANSWER: TRUE

A square fits its outline in 4 positions.

ANSWER: FALSE

The point A(3, 4) is in the solution set of the inequality x² + y² > 25.

ANSWER: FALSE

The point B(-6, 7) is in the solution set of the inequality x² + y² < 81

ANSWER: FALSE

The point C(3, – 5) is in the solution set of the inequality x² + y² > 33

ANSWER: TRUE

Sum of the interior angles of a polygon of n sides is (n + 2)π radians

ANSWER: FALSE

The interior angle of a polygon of n sides has measure (n – 2)π/n.

ANSWER: FALSE (only when it is equiangular)

The sum of the exterior angles of any polygon is 2 straight angles.

ANSWER: TRUE

The given equation has no real solution.

cosx = secx

ANSWER: FALSE (cos²x = 1 has real solutions)

sinx = – cosecx

ANSWER: TRUE (sin²x = -1 has no real solution)

tanx = – cotx

ANSWER: TRUE (tan²x = -1 has no real solution)

The pair of equations represent parallel lines.

y = 3x + 5 and x/(1/3) + y/(-1) = 12

ANSWER: TRUE

y = -5x + 3 and 5x – y = 3

ANSWER: FALSE

x/2 + y/3 = 1 and y = 3x/2 + 7

ANSWER: FALSE

A rectangle can be circumscribed by a circle.

ANSWER: TRUE

A circle can be inscribed in a rectangle.

ANSWER: FALSE

A circle can be inscribed in a rhombus.

ANSWER: TRUE

√(56) is an irrational number

ANSWER: FALSE

[ √(2.56) = 1.6 a rational number]

π is a rational number.

ANSWER: FALSE

√(18/8) is a rational number.

ANSWER: TRUE

[18/8) = 9/4) = 3/2 a rational number]

In linear programming,

the objective function is of the form Ax + By,

ANSWER: TRUE

the constraints can be quadratic inequalities,

ANSWER: FALSE

the solution occurs at a corner point of the graphed region.

ANSWER: TRUE

The following quadrilateral has two pairs of adjacent congruent sides.

Parallelogram

ANSWER: FALSE

Rhombus

ANSWER: FALSE

Kite

ANSWER: TRUE

the inequality x²/4 + y²/6 < 1 describes a region inside a circle.

ANSWER: FALSE

The inequality x² + y² > 16 describes a region outside a circle.

ANSWER: TRUE

The inequality y² > x²describes a region above the line y = x.

ANSWER: FALSE

Determine if the converse of the statement is true or false

A cube is a hexahedron.

ANSWER: FALSE

A polygon is a pentagon.

ANSWER: TRUE

A tetrahedron is a pyramid.

ANSWER: FALSE

The point A(5, 2) is in the solution set of the inequality 3x – 5y < 8.

ANSWER: TRUE

The point B(3, -2) is in the solution set of the inequality 5x + 7y > 1.

ANSWER: FALSE

The point C(-4, -2) is in the solution set of the inequality 3x – 6y < -1.

ANSWER: FALSE

Two triangles are congruent if

two sides and an angle of one are congruent to any two sides and an angle of the other.

ANSWER: FALSE

two angles and an included side of one are congruent to the corresponding parts of the other triangle.

ANSWER: TRUE

two angles and a side opposite to one of the angles are congruent to two angles and a side opposite to the corresponding other angle.

ANSWER: TRUE

234 is a rational number.

ANSWER: TRUE

√(9) is a rational number.

ANSWER: FALSE

√(18/100) is a rational number

ANSWER: FALSE

The system of equations has a unique solution.

x + y = 1 and x – y = -1

ANSWER: TRUE

x + 2y = 1 and x/2 + y/1 = 4

ANSWER: FALSE (parallel lines no intersection)

x/2 + y/3 = 1 and y = -3x/2 + 3 (same line infinite solutions)

ANSWER: FALSE

A sequence is exponential if the ratio of successive differences of consecutive terms are the same.

ANSWER: FALSE

An exponential series has a finite sum to infinity provided the common ratio r is such that | r | < 1. (Read as absolute value of r is less than 1)

ANSWER: TRUE

An exponential sequence with common ratio r = 1 is also a linear sequence.

ANSWER: TRUE

In a parallelogram, the diagonals bisect each other and bisect the vertex angles.

ANSWER: FALSE

In a kite one diagonal bisects its vertex angles and bisects the other diagonal.

ANSWER: TRUE

In a rhombus, the diagonals bisect each other perpendicularly and are congruent.

ANSWER: FALSE

The ordered pair (2, 3) is a solution of the inequality 3x – 2y < 1

ANSWER: TRUE

[3(2) – 2(3) = 6 – 6 = 0 < 1, true]

The ordered pair (3, – 2) is a solution of the inequality 2x + 4y > -2

ANSWER: FALSE

[2(3) + 4(-2) = -2 > -2 false]

The ordered pair (-2, 2) is a solution of the inequality 2x + 3y < 3

ANSWER: TRUE

[2(-2) + 3(2) = -4 + 6 = 2 < 3, true

d₁ and d₂ are the lengths of the diagonals of the given quadrilateral.

The area of a rhombus is ½d₁d

ANSWER: TRUE

The area of a rectangle is ½d₁d₂.

ANSWER: FALSE

The area of a kite is ½d₁d₂.

ANSWER: TRUE

A triangle has three axes of symmetry.

ANSWER: FALSE

A square has four axes of symmetry.

ANSWER: TRUE

A pentagon has five axes of symmetry.

ANSWER: FALSE

The solution set of the inequality (x – 3)(4 – x) < 0 is

{x: 3 < x < 4}

ANSWER: FALSE

{x: x < -4, or x > – 3}

ANSWER: FALSE

{x: x < 3, or x > 4}

ANSWER: TRUE

x² – x + 1 is a factor of x³ – 1

ANSWER: FALSE

x² + x – 1 is a factor of x³ – 1

ANSWER: FALSE

x² – x – 1 is a factor of x³ – 1

ANSWER: FALSE

The equation y² = x² represents 2 perpendicular lines.

ANSWER: TRUE

[ y = ± x, which are perpendicular]

The equations x + 2y = 5 and 2x + y = 5 represent 2 perpendicular lines.

ANSWER: FALSE

The equations x/3 + y/4 = 1 and y = 3x/4 + 1 represent 2 perpendicular lines.

ANSWER: TRUE

3x⁴ + 5x² + 7 is a trinomial.

ANSWER: TRUE

2x² – 3/x² + 7 is a trinomial.

ANSWER: FALSE

3x²y³z is a monomial.

ANSWER: TRUE

For a reflex angle the cosine is negative.

ANSWER: FALSE

For a reflex angle the cosine is positive.

ANSWER: FALSE

For a reflex angle, the sine is negative.

ANSWER: TRUE

NSMQ PAST QUESTION; MATHEMATICS pdf.

In a triangle,

the point of intersection of the altitudes is the centroid,

ANSWER: FALSE

the point of intersection of the angle bisectors is the ortho-center,

ANSWER: FALSE

the point of intersection of the perpendicular bisectors of the sides is in the center.

ANSWER: FALSE

Consider the exponential function y = 2^x.

The domain is the set of all real numbers.

ANSWER: TRUE

The range is the set of all real numbers.

ANSWER: FALSE

The point (0, 1) is a member of the function.

ANSWER: TRUE

Consider 2 simultaneous linear equations in x and y

The equations have at most one solution.

ANSWER: FALSE

The equations have at least one solution.

ANSWER: FALSE

The equations may have an infinite number of solutions.

ANSWER: TRUE

If a triangle has four sides, then the sum of its interior angles is 400°

ANSWER: TRUE

If 2 × 3 = 8, then 8 ÷ 3 = 5

ANSWER: TRUE

If the sum of 2 integers is odd, then both integers are odd.

ANSWER: FALSE

The truth set of the equation | x | = – x is

the null set,

ANSWER: FALSE

the set {x: x = 0},

ANSWER: FALSE

the set {x: x < 0}.

ANSWER: FALSE [the truth set is {x: x}]

sin^-1(1/2) = 150

ANSWER: FALSE

cos^-1(-1/2) = 120

ANSWER: TRUE

tan^-1(-1) = 135

ANSWER: FALSE

5⁴ < 4⁵

ANSWER: TRUE

(625 < 256 x 4 is true)

5^-2 < 2^-5

ANSWER: FALSE

(1/25 < 1/32 is false)

(-3)³ < 3^-3

ANSWER: TRUE

( -27 < 1/27 is true)

The interior angle of a regular polygon is an obtuse angle.

ANSWER: FALSE

The exterior angle of a regular polygon is an acute angle

ANSWER: FALSE

The sums of the interior angles and the exterior angles of a polygon of n sides is n

ANSWER: TRUE

The implication ‘P implies Q’ is true whenever

P is true,

ANSWER: FALSE

exactly one of P, Q is true,

ANSWER: FALSE

P is false.

ANSWER: TRUE

The converse of a definition is true.

ANSWER: TRUE

The converse of a true statement is always true.

ANSWER: FALSE

The inverse of a true statement is also a true statement.

ANSWER: FALSE

Multiplying a positive number by a non-negative number gives a positive number.

ANSWER: FALSE

Multiplying a negative number by a non-negative number gives a negative number.

ANSWER: FALSE

Multiplying a non-negative number by a non-negative number gives a positive number.

ANSWER: FALSE

The sequence 1, 2², 3³, 4⁴, . . . is an exponential sequence.

ANSWER: FALSE

The sequence 1, 3, 6, 10, 15, . . . is a linear sequence.

ANSWER: FALSE

The sequence 1, ½, ¼, 1/6, 1/8, . . . is an exponential sequence.

ANSWER: FALSE

The domain of the function f(x) = √(4 – x²) is {x: x > 2 or x < – 2}

ANSWER: FALSE

The domain of the function f(x) = (x – 1)/(x² + 1) is {x: x ≠ ± 1}

ANSWER: FALSE

the domain of the function f(x) = √(x² – 9) is {x: x ≥ 3, or x ≤ -3}.

ANSWER: TRUE

The range of y = tan^-1x is {y: -∞ < y < ∞} (tan inverse of x)

ANSWER: FALSE

The domain of the function y = cos^-1x is {x: 0 < x < 1} (cosine inverse of x)

ANSWER: FALSE

The range of y = sin^-1x is {y: – π/2 ≤ y ≤ π/2} (sine inverse of x)

ANSWER: TRUE

The pair of equations represent perpendicular lines.

2x + 3y = 1 and x/2 – y/3 = 5

ANSWER: TRUE

y = 3x – 5 and x/3 + y/-1 = 9

ANSWER: FALSE

2y = 7x + 5 and x/7 – y/2 = 5

ANSWER: FALSE

(a – 2)(a² + 2a + 4) = a³ – 8

ANSWER: TRUE

(x + y)(x² + xy + y²) = x³ + y³

ANSWER: FALSE

(2a – 3)(4a² – 6a + 9) = 8a³ – 27

ANSWER: FALSE

log₄√8 = 3/2

ANSWER: FALSE

log₃∛81 = 3/4

ANSWER: FALSE

log₅∜125 = 3/4

ANSWER: TRUE

The ordered pair (-1, 2) satisfies the inequality x + y < 1.

ANSWER: FALSE

[-1 + 2 = 1 < 1 false]

The ordered pair (2, – 3) satisfies the inequality 2x + y < 1

ANSWER: FALSE

[2(2) – 3 = 1 < 1 false]

The ordered pair (3, – 1) satisfies the inequality x + y < 3.

ANSWER: TRUE

[3 – 1 = 2 < 3 true]

The sum of the interior angles of a decagon is 1400°.

ANSWER: FALSE

The sum of the interior angles of a septagon is 900°.

ANSWER: TRUE

The sum of the interior angles of a duo-decagon is 1800°.

ANSWER: TRUE

The given equation of a line is in the slope-intercept form

2y = 3x + 7

ANSWER: FALSE

x/3 + y/5 = 2

ANSWER: FALSE

y = -2x + 7

ANSWER: TRUE

Consider the function f(x) = log x

The domain is the set of all real numbers.

ANSWER: FALSE

The range is the set of all real numbers.

ANSWER: TRUE

The point (1, 0) lies on the graph of f(x).

ANSWER: TRUE

The rational number 5/8 is less than the rational number 7/11.

ANSWER: TRUE

The rational number 7/15 is less than the rational number 8/17.

ANSWER: TRUE

The rational number 4/7 is less than the rational number 7/13.

ANSWER: FALSE

For a natural number n to be divisible by 18,

it is necessary that n is divisible by 6,

ANSWER: TRUE

it is sufficient that n is even and divisible by 9.

ANSWER: TRUE

it is necessary that n is divisible by 12.

ANSWER: FALSE

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ABOUT 53 MATHEMATICS TRUE OR FALSE NSMQ PAST QUESTIONS