FGEI Math Past Papers MCQs

FGEI Math Past Papers MCQs for Federal Government Education Institutions lecturer Mathematics test preparation online.

FGEI Math Past Papers MCQs

The antonym of ‘Frugal’ is ?

1. Rich
2. Miserable
3. Happy
4. Extravagant

Solution of inequality x-3/x+7 < 0 is?

1. [-7,3]
2. (-7) < (3)
3. (10-7)
4. (-7,3)

3 < x < 7=>?

1. |x-2|<5
2. |x-5|-2
3. |x|<7
4. |x|<3

The c of Cauchy mean value theorem for the functions f(x)=x², g(x) = x² on [12] is?

1. 14/9
2. 1
3. 0
4. -1

If lim sin2x + asinx/x^3 exists, then the value of ‘a’ is?

1. 2
2. -2
3. does not exist
4. -1

If the radius of a circle increases from 10 cm to 10.1 cm, then the percentage change in its area is?

1. 1%
2. 2%
3. 3%
4. 4%

The series x- x^2/2 + x^3/3 – x^4/4 + …. is convergent for?

1. |x1| < 1 only
2. |x| ≤ 1
3. -1 < x ≤ 1
4. All real values of x

What is the value of the limit (x, y) –> (2, 1) of the expression: (x^3 + 2x^2y – xy – 2y^2) / (x + 2y)?

1. 3
2. 2
3. 1
4. 0

Degree of the function f(x,y)= √x+√y/x + y is?

1. 1/2
2. -1/2
3. 1
4. -1

If p: x + y = 3, then ¬p is?

1. x + y ≠ 3
2. x + y > 3
3. x + y < 3
4. x + y = 0

The synonym of METICULOUS is?

1. Ridiculous
2. Conscientious
3. Mindless
4. Strong

What is the opposite of “fragile”?

1. Breakable
2. Robust
3. Strong
4. Weak

What is a synonym of “elated”?

1. Miserable
2. Thrilled
3. Depressed
4. Unhappy

What is the opposite of “candid”?

1. Forthright
2. Frank
3. Blunt
4. Secretive

What is a synonym of “perplexed”?

1. Lucid
2. Clear
3. Puzzle
4. Unambiguous

What is a synonym of “brave”?

1. Fearful
2. Frightened
3. Coward
4. Fearless

p ∨ (p ∧ q) = ?

1. p
2. q
3. p ∧ q
4. p ∨ q

7 ∈ Sr (5) –>?

1. d(5,7) < r
2. d(5,7) ≠ r
3. d(5,7) > r
4. None

An open ball in a real line R is?

1. An open-closed interval
2. A closed-open interval
3. A closed interval
4. An open interval

What is Ext(A) equal to?

1. Int(A°)
2. X
3. Int(A)
4. None

A subset F of a metric space X is closed if and only if?

1. F = F°
2. F ∪ F = X
3. F ∩ F´ = ∅
4. F = F´

If f(x,y) is a homogeneous function of degree zero in x and y, then f(x,y) is a function of____alone.

1. y^2/x
2. y/x^2
3. y/x
4. xy

In the first-order linear differential equation dy/dx + P(x)y = Q(x), the integrating factor is?

1. exp (∫P(x)dx)
2. exp (∫P(y)dy)
3. ∫P(x)dx
4. ∫P(y)dy

The differential form xdy – ydx/x^2 is equivalent to?

1. d[ln(y/x)]
2. d(y/x)
3. d(ln(x/y))
4. d(xy)

The equation of the form y’+P(x)y+Q(x)y² – R(x) is called the _____ equation.

1. Bernoulli
2. Ricatti
3. Clairaut
4. None

The differential form xdy + ydx/xy is equivalent to?

1. d(y²/x)
2. d(tan⁻¹(y/x))
3. d(ln(xy))
4. d(x^m/y^n)

The differential equation of the form y=x dy/dx +f (dy/dx) is known as _____ equation.

1. Bernoulli
2. Ricatti
3. Clairaut
4. None

The general solution of the differential equation d^2y/dx^2 – 4 dy/dx + 4y = 0 is?

1. (c1 + c2x)e^2x
2. c1e^2x + c2e^-2x
3. c1e^3x + c2e^-3x
4. c1e^4x + c2e^-4x

The solution of the differential equation ydx-2xdy=0 represents?

1. A family of straight lines
2. A family of parabolas
3. A family of hyperbolas
4. A family of circles

The order of differential equation x²dy + y²dx = 0 is?

1. 3
2. 2
3. 1
4. None

y= Asinx + Bcos x is the solution of the differential equation?

1. y” – y = 0
2. y” + y = 0
3. y” – 4y = 0
4. y” + 4y = 0

If S={1/n : ne ∈ N}, then inf S =?

1. 0
2. 1
3. 2
4. None

Which one of the following statement/s is true?

1. ∑1/n^p= converges if p ≤ 1
2. ∑1/n^p= diverges if p > 1
3. ∑1/n^p= converges if p > 1
4. ∑1/n^p= converges if 0 < p < 1

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

1. X
2. does not exist
3. 0
4. None

In the group (G, *), A a,b ∈ G?

1. a + b ∈ G
2. ab ∈ G
3. a * b ∈ G
4. a – b ∈ G

The set of integers is an abelian group under?

1. Addition
2. Multiplication
3. Division
4. None

The set of all n, nth roots of unity forms a group under the ____ of complex numbers.

1. Addition
2. Multiplication
3. Division
4. None

Let (G,+) be a group. A nonempty subset H of G is a subgroup of G if and only if for all a, b ∈ H, the element?

1. a + b ∈ G
2. a – b ∈ H
3. a + (-b) ∈ H
4. ab ∈ G

Every cyclic group is?

1. Non abelian
2. Abelian
3. Non commutative
4. None

Every subgroup of a cyclic group is?

1. Non abelian
2. Non cyclic
3. Cyclic
4. None

Let H be a subgroup of a group G, then the number of left cosets is ____ the number of right cosets of H in G.

1. Less than
2. Equal to
3. Greater than
4. None

In the group G = (-1,1,-i,i), the order of -i is?

1. -1
2. 1
3. 2
4. 4

If X has n elements, then ______ permutations can be taken on X.

1. n
2. n!
3. (n – 1)!
4. (n + 1)!

The order of a cyclic permutation of length n is?

1. n
2. n!
3. (n – 1)!
4. (n + 1)!

A cycle of length _____ is called the transposition.

1. Two
2. Three
3. Four
4. None

Every group of prime order is?

1. Cyclic group
2. Non-abelian group
3. Not cyclic
4. Abelian but not cyclic group

A subset F of a topological space X is closed if and only if F = ?

1. Int(F)
2. Cl(F)
3. Bd(F)
4. X

Ext(A) =?

1. X
2. Int(A)
3. Int(A^c)
4. None

Power set of a nonempty set X is?

1. A topology on X
2. An empty set
3. Not topology on X
4. An infinite set

A sequence (Xn) in a metric space X is said to be strictly increasing if for all n?

1. Xn ≤ X(n+1)
2. Xn ≥ X(n+1)
3. Xn < X(n+1)
4. Xn > X(n+1)

A convergent sequence in a metric space is?

1. Bounded
2. Not constant
3. Unbounded
4. None of these

The value of the solid of revolution when rotating around the x-axis is given by?

1. π ∫[a, b] (f(x))^2 dx
2. 2π ∫[a, b] (f(x))^2 dx
3. π ∫[a, b] (f(x)) dx
4. 2π ∫[a, b] (f(x)) dx

The series is convergent if?

1. P
2. p
3. p>1
4. 0<p<1

Which one of the following is a unary operation?

1. Addition
2. Multiplication
3. Square root
4. None

Z is a group under?

1. Subtraction
2. Addition
3. Multiplication
4. Division

In the group (G, *), where a, b ∈ G, which of the following is always true?

1. a + b ∈ G
2. ab ∈ G
3. a * b ∈ G
4. a – b ∈ G

The action of wearing of sock and shoes?

1. Does not commute
2. Commute
3. Does not exist
4. Associative

ax(bxc) is a vector lying in the plane containing vectors?

1. a and b
2. a and c
3. b and c
4. a and axb

When is z = a + 2by + 2bxy true?

1. When x = 0
2. When y = 0
3. When b = 0
4. When a = 0

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