Q. Identify the error in this sentence: 'He asked me if I can help him.'
-
A.
No error.
-
B.
Change 'can' to 'could'.
-
C.
Change 'asked' to 'ask'.
-
D.
Change 'if' to 'that'.
Solution
In indirect speech, 'can' should change to 'could'.
Correct Answer:
B
— Change 'can' to 'could'.
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Q. Identify the error in this sentence: Each of the players have a unique skill.
-
A.
Each
-
B.
of
-
C.
players
-
D.
have
Solution
The subject 'Each' is singular, so it should be 'has' instead of 'have'.
Correct Answer:
D
— have
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Q. Identify the error: 'Each of the players have a unique skill.' (2023)
-
A.
A. Each
-
B.
B. of the players
-
C.
C. have
-
D.
D. a unique skill
Solution
The correct form is 'has' instead of 'have' because 'Each' is singular.
Correct Answer:
C
— C. have
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Q. Identify the error: 'Everyone are invited to the party.' (2023)
-
A.
A. Everyone
-
B.
B. are
-
C.
C. invited
-
D.
D. to the party
Solution
The correct form is 'is' instead of 'are' because 'Everyone' is singular.
Correct Answer:
B
— B. are
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Q. Identify the error: 'Everyone have their own opinion.'
-
A.
Everyone
-
B.
have
-
C.
their
-
D.
own opinion
Solution
'have' should be 'has' because 'Everyone' is singular.
Correct Answer:
B
— have
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Q. Identify the error: 'Everyone should do their best to succeed.'
-
A.
No error
-
B.
Everyone should be replaced with All
-
C.
Their should be replaced with his or her
-
D.
Succeed should be replaced with succeeds
Solution
'Everyone' is a singular pronoun, so it should be 'his or her' instead of 'their'.
Correct Answer:
C
— Their should be replaced with his or her
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Q. Identify the error: 'He is more smarter than his brother.'
-
A.
He
-
B.
is
-
C.
more
-
D.
smarter
Solution
The correct form is 'He is smarter than his brother.' 'Smarter' is already a comparative form, so 'more' is unnecessary.
Correct Answer:
C
— more
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Q. Identify the error: 'Neither of the answers are correct.'
-
A.
Neither
-
B.
of
-
C.
the
-
D.
are
Solution
'Are' should be 'is' because 'neither' is singular. The correct sentence is 'Neither of the answers is correct.'
Correct Answer:
D
— are
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Q. Identify the error: 'The group of students are studying hard.'
-
A.
group
-
B.
of
-
C.
students
-
D.
are
Solution
'Group' is a singular noun, so it should be 'is studying' instead of 'are studying'.
Correct Answer:
D
— are
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Q. Identify the error: 'The information are not sufficient for the decision.'
-
A.
No error
-
B.
are
-
C.
sufficient
-
D.
The information
Solution
'Information' is an uncountable noun and should take a singular verb, so it should be 'is not sufficient'.
Correct Answer:
B
— are
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Q. Identify the error: 'The jury were divided in their opinions.'
-
A.
No error
-
B.
Jury should be treated as plural
-
C.
Were should be replaced with was
-
D.
Divided should be replaced with divide
Solution
The word 'jury' is a collective noun and is treated as singular, so 'was' should be used instead of 'were'.
Correct Answer:
C
— Were should be replaced with was
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Q. Identify the error: The data are being analyzed carefully.
-
A.
The
-
B.
data
-
C.
are
-
D.
being
Solution
In American English, 'data' is often treated as a singular noun, so 'is' is preferred.
Correct Answer:
C
— are
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Q. Identify the error: The informations provided were helpful. (2020)
-
A.
A) The
-
B.
B) informations
-
C.
C) provided
-
D.
D) were
Solution
The correct form should be 'information' as it is an uncountable noun and does not have a plural form.
Correct Answer:
B
— B) informations
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Q. Identify the family of curves represented by the equation x^2 + y^2 = r^2.
-
A.
Straight lines
-
B.
Ellipses
-
C.
Circles
-
D.
Hyperbolas
Solution
The equation x^2 + y^2 = r^2 represents a family of circles with varying radii 'r'.
Correct Answer:
C
— Circles
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Q. Identify the family of curves represented by the equation y = a(x - h)^2 + k.
-
A.
Parabolas
-
B.
Circles
-
C.
Ellipses
-
D.
Hyperbolas
Solution
The equation y = a(x - h)^2 + k represents a family of parabolas that open upwards or downwards.
Correct Answer:
A
— Parabolas
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Q. Identify the family of curves represented by the equation y = ax^2 + bx + c.
-
A.
Linear functions
-
B.
Quadratic functions
-
C.
Cubic functions
-
D.
Exponential functions
Solution
The equation y = ax^2 + bx + c represents a family of quadratic functions with varying coefficients (a, b, c).
Correct Answer:
B
— Quadratic functions
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Q. Identify the family of curves represented by the equation y = a^x.
-
A.
Exponential functions
-
B.
Logarithmic functions
-
C.
Polynomial functions
-
D.
Trigonometric functions
Solution
The equation y = a^x represents a family of exponential functions where a is a positive constant.
Correct Answer:
A
— Exponential functions
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Q. Identify the family of curves represented by the equation y = c/x, where c is a constant.
-
A.
Linear functions
-
B.
Hyperbolas
-
C.
Parabolas
-
D.
Circles
Solution
The equation y = c/x represents a family of hyperbolas with varying asymptotes.
Correct Answer:
B
— Hyperbolas
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Q. Identify the family of curves represented by the equation y = e^(kx), where k is a constant.
-
A.
Linear functions
-
B.
Exponential functions
-
C.
Logarithmic functions
-
D.
Polynomial functions
Solution
The equation y = e^(kx) represents a family of exponential functions with varying growth rates determined by k.
Correct Answer:
B
— Exponential functions
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Q. Identify the family of curves represented by the equation y = e^(kx).
-
A.
Linear functions
-
B.
Exponential functions
-
C.
Logarithmic functions
-
D.
Polynomial functions
Solution
The equation y = e^(kx) represents a family of exponential functions with varying growth rates determined by 'k'.
Correct Answer:
B
— Exponential functions
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Q. Identify the family of curves represented by the equation y = mx^3 + c.
-
A.
Cubic functions
-
B.
Quadratic functions
-
C.
Linear functions
-
D.
Exponential functions
Solution
The equation y = mx^3 + c represents a family of cubic functions with varying coefficients m and c.
Correct Answer:
A
— Cubic functions
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Q. Identify the family of curves represented by the equation y = sin(kx) for varying k.
-
A.
Sine waves
-
B.
Cosine waves
-
C.
Straight lines
-
D.
Parabolas
Solution
The equation y = sin(kx) represents a family of sine waves with varying frequencies determined by k.
Correct Answer:
A
— Sine waves
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Q. Identify the family of curves represented by the equation y^2 = 4ax.
-
A.
Parabolas
-
B.
Hyperbolas
-
C.
Ellipses
-
D.
Straight lines
Solution
The equation y^2 = 4ax represents a family of parabolas that open to the right with varying values of 'a'.
Correct Answer:
A
— Parabolas
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Q. Identify the figure that does not belong to the group.
Solution
Option D is the only figure that is not a polygon, making it the odd one out.
Correct Answer:
D
— D
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Q. Identify the figure that is different from the rest.
-
A.
Star
-
B.
Heart
-
C.
Diamond
-
D.
Square
Solution
All options except Square are non-regular shapes.
Correct Answer:
D
— Square
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Q. Identify the group that shows a -I effect.
-
A.
-NH2
-
B.
-CH3
-
C.
-F
-
D.
-OCH3
Solution
The -F group shows a -I effect as it withdraws electron density through its electronegativity.
Correct Answer:
C
— -F
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Q. Identify the hybridization of the central atom in C2H4.
-
A.
sp
-
B.
sp2
-
C.
sp3
-
D.
dsp3
Solution
The central carbon atoms in C2H4 are sp2 hybridized, forming a double bond between them.
Correct Answer:
B
— sp2
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Q. Identify the hybridization of the central atom in CO2.
-
A.
sp
-
B.
sp2
-
C.
sp3
-
D.
dsp3
Solution
Carbon in CO2 is sp hybridized, forming two double bonds with oxygen.
Correct Answer:
A
— sp
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Q. Identify the hybridization of the central atom in NH3.
-
A.
sp
-
B.
sp2
-
C.
sp3
-
D.
dsp3
Solution
The nitrogen atom in NH3 is sp3 hybridized, forming three bonds and one lone pair.
Correct Answer:
C
— sp3
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Q. Identify the hybridization of the nitrogen atom in NH3.
-
A.
sp
-
B.
sp2
-
C.
sp3
-
D.
dsp2
Solution
The nitrogen atom in NH3 is sp3 hybridized, forming three N-H bonds and one lone pair.
Correct Answer:
C
— sp3
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