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Q. For the quadratic equation x^2 + 2x + k = 0 to have real roots, what must be the minimum value of k? (2020)
Solution
The discriminant must be non-negative: 2^2 - 4*1*k >= 0, thus k <= 1.
Correct Answer: A — -1
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Q. For the quadratic equation x^2 + 4x + k = 0 to have equal roots, what must be the value of k? (2022)
Solution
For equal roots, the discriminant must be zero: 4^2 - 4*1*k = 0, thus k = 4.
Correct Answer: B — 8
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Q. Hand is to Glove as Foot is to?
-
A.
Sock
-
B.
Shoe
-
C.
Sandals
-
D.
Slipper
Solution
A glove is worn on a hand just as a sock is worn on a foot.
Correct Answer: A — Sock
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Q. He has less friends than she does. (2022)
-
A.
He has fewer friends than she does.
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B.
He has less friend than she does.
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C.
He has lesser friends than she does.
-
D.
He has few friends than she does.
Solution
The correct term is 'fewer' for countable nouns like 'friends'.
Correct Answer: A — He has fewer friends than she does.
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Q. He is a gooder player than his friend.
-
A.
He is a better player than his friend.
-
B.
He is good player than his friend.
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C.
He is the gooder player than his friend.
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D.
He is more good player than his friend.
Solution
The comparative form of 'good' is 'better', not 'gooder'.
Correct Answer: A — He is a better player than his friend.
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Q. He is more taller than his brother. (2021)
-
A.
He is taller than his brother.
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B.
He is more tall than his brother.
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C.
He is tall than his brother.
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D.
He is more taller than his brother.
Solution
The comparative form of 'tall' is 'taller', not 'more taller'.
Correct Answer: A — He is taller than his brother.
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Q. He runs more faster than anyone else.
-
A.
He runs faster than anyone else.
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B.
He run more fast than anyone else.
-
C.
He is more faster than anyone else.
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D.
He runs the most fast than anyone else.
Solution
The correct form is 'faster', not 'more faster'.
Correct Answer: A — He runs faster than anyone else.
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Q. He runs more faster than his brother. (2020)
-
A.
He runs faster than his brother.
-
B.
He run more faster than his brother.
-
C.
He runs more fast than his brother.
-
D.
He run faster than his brother.
Solution
The comparative form of 'fast' is 'faster', not 'more faster'.
Correct Answer: A — He runs faster than his brother.
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Q. He was known for his ___ in solving complex problems.
-
A.
incompetence
-
B.
skill
-
C.
ignorance
-
D.
hesitation
Solution
The word 'skill' indicates proficiency in problem-solving.
Correct Answer: B — skill
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Q. He was very ___ about his chances of winning the race.
-
A.
optimistic
-
B.
pessimistic
-
C.
indifferent
-
D.
uncertain
Solution
The word 'optimistic' fits best as it indicates a positive outlook on winning.
Correct Answer: A — optimistic
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Q. How can systematic errors be identified? (2020)
-
A.
By repeating measurements under the same conditions
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B.
By averaging multiple readings
-
C.
By comparing results with a known standard
-
D.
By using different instruments
Solution
Systematic errors can be identified by comparing results with a known standard, which helps to reveal consistent biases.
Correct Answer: C — By comparing results with a known standard
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Q. How do you convert: 'She asked, Are you coming?' into indirect speech? (2023)
-
A.
She asked if I was coming.
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B.
She asked if I am coming.
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C.
She asked if I come.
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D.
She asked if I will come.
Solution
In indirect speech, the present tense changes to past tense.
Correct Answer: A — She asked if I was coming.
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Q. How does making connections improve reading comprehension? (2023)
-
A.
It distracts from the text
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B.
It helps relate the text to personal experiences
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C.
It increases reading speed
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D.
It simplifies the vocabulary
Solution
Making connections allows readers to relate the text to their own experiences, enhancing understanding and retention.
Correct Answer: B — It helps relate the text to personal experiences
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Q. How does the presence of constraints affect the potential energy of a system? (2022)
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A.
It increases potential energy
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B.
It decreases potential energy
-
C.
It has no effect
-
D.
It converts potential energy to kinetic energy
Solution
Constraints can limit the configurations of a system, often leading to a decrease in potential energy.
Correct Answer: B — It decreases potential energy
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Q. How many members are nominated to the Rajya Sabha by the President of India? (2021)
Solution
The President of India nominates 12 members to the Rajya Sabha.
Correct Answer: B — 12
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Q. How many schedules are there in the Constitution of India? (2021)
Solution
The Constitution of India originally had 12 schedules, but currently, it has 14 schedules after the 74th Amendment.
Correct Answer: C — 14
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Q. How many schedules are there in the Indian Constitution?
Solution
The Indian Constitution originally had 8 schedules, but currently, it has 12 schedules.
Correct Answer: C — 14
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Q. How would you convert: 'He said, I will help you.' into indirect speech? (2020)
-
A.
He said that he will help you.
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B.
He said that he would help you.
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C.
He said that he helps you.
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D.
He said that he helped you.
Solution
In indirect speech, 'will' changes to 'would'.
Correct Answer: B — He said that he would help you.
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Q. How would you convert: 'They said, We will go to the party.' into indirect speech? (2022)
-
A.
They said that they will go to the party.
-
B.
They said that they would go to the party.
-
C.
They said that they are going to the party.
-
D.
They said that they went to the party.
Solution
In indirect speech, 'will' changes to 'would'.
Correct Answer: B — They said that they would go to the party.
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Q. I am looking forward to meet you. (2023)
-
A.
I am looking forward to meeting you.
-
B.
I look forward to meet you.
-
C.
I am looking forward to met you.
-
D.
I am looking forward to meet with you.
Solution
The correct form is 'looking forward to meeting' (gerund).
Correct Answer: A — I am looking forward to meeting you.
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Q. I have seen him yesterday.
-
A.
I saw him yesterday.
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B.
I have saw him yesterday.
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C.
I seen him yesterday.
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D.
I have seen him on yesterday.
Solution
The past tense 'saw' is correct for a specific time in the past.
Correct Answer: A — I saw him yesterday.
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Q. Identify the active voice in the following options. (2019)
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A.
The cake was baked by Mary.
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B.
Mary bakes the cake.
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C.
The cake is being baked by Mary.
-
D.
The cake has been baked by Mary.
Solution
The sentence 'Mary bakes the cake.' is in active voice as the subject performs the action.
Correct Answer: B — Mary bakes the cake.
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Q. Identify the adverb in the sentence: 'She sings beautifully.' (2020)
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A.
She
-
B.
sings
-
C.
beautifully
-
D.
None of the above
Solution
The word 'beautifully' describes how she sings, making it an adverb.
Correct Answer: C — beautifully
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Q. Identify the correct conjunction to complete the sentence: 'I wanted to go for a walk, _____ it was raining.' (2020)
-
A.
but
-
B.
and
-
C.
or
-
D.
so
Solution
The correct conjunction is 'but' as it contrasts the two clauses.
Correct Answer: A — but
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Q. Identify the correct embedded figure from the options.
-
A.
Option A
-
B.
Option B
-
C.
Option C
-
D.
Option D
Solution
Option C is the correct embedded figure that fits within the larger shape.
Correct Answer: C — Option C
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Q. Identify the correct mirror image of the letter 'P'. (2019)
-
A.
Option A
-
B.
Option B
-
C.
Option C
-
D.
Option D
Solution
Option A is the correct mirror image of the letter 'P'.
Correct Answer: A — Option A
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Q. Identify the correct sentence: (2019)
-
A.
Neither of the answers are correct.
-
B.
Neither of the answers is correct.
-
C.
Neither of the answer is correct.
-
D.
Neither of the answers were correct.
Solution
The word 'neither' is singular, so it should be followed by 'is'.
Correct Answer: B — Neither of the answers is correct.
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Q. Identify the correct tense: I ___ to the gym every day. (2023)
-
A.
go
-
B.
gone
-
C.
went
-
D.
going
Solution
The present simple tense 'go' is used for regular actions.
Correct Answer: A — go
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Q. Identify the correct tense: They ___ to the party last week. (2022)
-
A.
go
-
B.
went
-
C.
going
-
D.
gone
Solution
The past tense 'went' indicates the action was completed last week.
Correct Answer: B — went
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Q. Identify the correctly punctuated sentence.
-
A.
Its a beautiful day.
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B.
It's a beautiful day.
-
C.
Its' a beautiful day.
-
D.
Its a beautiful, day.
Solution
The correct contraction for 'it is' is 'it's'.
Correct Answer: B — It's a beautiful day.
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