Q. What does the phrase 'barking up the wrong tree' imply? (2020)
-
A.
To make a wrong assumption
-
B.
To be very angry
-
C.
To be confused
-
D.
To seek help
Solution
'Barking up the wrong tree' means to pursue a mistaken or misguided course of action.
Correct Answer:
A
— To make a wrong assumption
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Q. What does the phrase 'bite the bullet' imply? (2020)
-
A.
To avoid a difficult situation
-
B.
To face a painful or unpleasant situation with courage
-
C.
To take a risk
-
D.
To make a hasty decision
Solution
'Bite the bullet' means to face a painful or unpleasant situation with courage.
Correct Answer:
B
— To face a painful or unpleasant situation with courage
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Q. What does the phrase 'burn the midnight oil' mean? (2019)
-
A.
To work late into the night
-
B.
To waste time
-
C.
To be very tired
-
D.
To be very busy
Solution
'Burn the midnight oil' means to stay up late working or studying.
Correct Answer:
A
— To work late into the night
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Q. What does the phrase 'burning the midnight oil' mean?
-
A.
Staying up late working or studying
-
B.
Wasting time
-
C.
Being very busy
-
D.
Being very tired
Solution
'Burning the midnight oil' means to stay up late working or studying.
Correct Answer:
A
— Staying up late working or studying
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Q. What does the phrase 'cost an arm and a leg' mean? (2020)
-
A.
To be very expensive
-
B.
To be very cheap
-
C.
To be very difficult
-
D.
To be very easy
Solution
'Cost an arm and a leg' is an idiom that means something is very expensive.
Correct Answer:
A
— To be very expensive
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Q. What does the phrase 'costs an arm and a leg' imply?
-
A.
Very cheap
-
B.
Very expensive
-
C.
Very easy
-
D.
Very difficult
Solution
'Costs an arm and a leg' means something is very expensive.
Correct Answer:
B
— Very expensive
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Q. What does the phrase 'hit the nail on the head' mean? (2023)
-
A.
To make a mistake
-
B.
To be exactly right about something
-
C.
To work hard
-
D.
To be confused
Solution
'Hit the nail on the head' means to be exactly right about something.
Correct Answer:
B
— To be exactly right about something
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Q. What does the phrase 'spill the beans' mean? (2019)
-
A.
To reveal a secret
-
B.
To make a mess
-
C.
To cook something
-
D.
To waste time
Solution
'Spill the beans' means to disclose confidential information or secrets.
Correct Answer:
A
— To reveal a secret
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Q. What does the phrase 'the ball is in your court' imply? (2019)
-
A.
It is your turn to make a decision
-
B.
You are responsible for the outcome
-
C.
You have no control over the situation
-
D.
You should take a break
Solution
'The ball is in your court' implies that it is your turn to make a decision or take action.
Correct Answer:
A
— It is your turn to make a decision
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Q. What does the phrase 'the ball is in your court' mean?
-
A.
It is your turn to make a decision
-
B.
You are in trouble
-
C.
You are very busy
-
D.
You are happy
Solution
'The ball is in your court' means it is your responsibility to take action or make a decision.
Correct Answer:
A
— It is your turn to make a decision
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Q. What does the phrase 'to bite the bullet' mean? (2021)
-
A.
To face a difficult situation with courage
-
B.
To avoid responsibility
-
C.
To complain about something
-
D.
To take a risk
Solution
'To bite the bullet' means to endure a painful or unpleasant situation that is unavoidable.
Correct Answer:
A
— To face a difficult situation with courage
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Q. What does the phrase 'to have a chip on one's shoulder' mean? (2023)
-
A.
To be angry or upset about something
-
B.
To be happy
-
C.
To be indifferent
-
D.
To be confused
Solution
'To have a chip on one's shoulder' means to be angry or resentful about something that happened in the past.
Correct Answer:
A
— To be angry or upset about something
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Q. What does the phrase 'to let the cat out of the bag' mean? (2022)
-
A.
To reveal a secret
-
B.
To cause trouble
-
C.
To be careless
-
D.
To make a mistake
Solution
'To let the cat out of the bag' means to accidentally reveal a secret.
Correct Answer:
A
— To reveal a secret
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Q. What does the phrase 'under the weather' mean? (2019)
-
A.
Feeling ill
-
B.
Feeling happy
-
C.
Feeling confused
-
D.
Feeling tired
Solution
'Under the weather' means feeling ill or unwell.
Correct Answer:
A
— Feeling ill
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Q. What happens to the total current in a parallel circuit if more branches are added? (2023)
-
A.
Increases
-
B.
Decreases
-
C.
Remains the same
-
D.
Becomes zero
Solution
In a parallel circuit, adding more branches increases the total current because each branch provides an additional path for current to flow.
Correct Answer:
A
— Increases
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Q. What happens to the volume of a gas when it is compressed? (2022)
-
A.
It increases
-
B.
It decreases
-
C.
It remains the same
-
D.
It becomes solid
Solution
When a gas is compressed, the volume decreases because the particles are forced closer together.
Correct Answer:
B
— It decreases
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Q. What is a synonym for 'diligent'?
-
A.
lazy
-
B.
industrious
-
C.
careless
-
D.
negligent
Solution
'Diligent' means showing care and effort in one's work, making 'industrious' the correct synonym.
Correct Answer:
B
— industrious
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Q. What is a synonym for 'hasty'?
-
A.
slow
-
B.
quick
-
C.
careful
-
D.
deliberate
Solution
'Hasty' means done with excessive speed or urgency; thus, the synonym is 'quick'.
Correct Answer:
B
— quick
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Q. What is a synonym for 'meticulous'?
-
A.
careless
-
B.
thorough
-
C.
negligent
-
D.
sloppy
Solution
'Meticulous' means showing great attention to detail; thorough.
Correct Answer:
B
— thorough
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Q. What is a synonym for 'obscure'? (2022)
-
A.
clear
-
B.
famous
-
C.
unknown
-
D.
evident
Solution
'Obscure' means not well known or unclear. The synonym is 'unknown'.
Correct Answer:
C
— unknown
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Q. What is the 3rd term in the expansion of (a + b)^6?
-
A.
15ab^5
-
B.
20ab^5
-
C.
30ab^5
-
D.
6ab^5
Solution
The 3rd term is given by 6C2 * a^4 * b^2 = 15 * a^4 * b^2 = 15ab^5.
Correct Answer:
B
— 20ab^5
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Q. What is the 3rd term in the expansion of (x + 2)^6?
-
A.
60x^4
-
B.
90x^4
-
C.
120x^4
-
D.
180x^4
Solution
The 3rd term is given by C(6, 2) * (x)^2 * (2)^4 = 15 * x^2 * 16 = 240x^2.
Correct Answer:
B
— 90x^4
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Q. What is the 4th term in the expansion of (3x + 2)^6?
-
A.
540x^4
-
B.
540x^3
-
C.
720x^4
-
D.
720x^3
Solution
The 4th term is given by C(6,3) * (3x)^3 * (2)^3 = 20 * 27x^3 * 8 = 4320x^3.
Correct Answer:
A
— 540x^4
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Q. What is the 5th term in the expansion of (2x - 3)^7?
-
A.
-1134x^5
-
B.
1134x^5
-
C.
-1458x^5
-
D.
1458x^5
Solution
The 5th term is given by C(7, 4)(2x)^4(-3)^3 = 35 * 16x^4 * (-27) = -1134x^5.
Correct Answer:
A
— -1134x^5
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Q. What is the 5th term in the expansion of (3x - 2)^6?
-
A.
-540x^5
-
B.
540x^5
-
C.
-486x^5
-
D.
486x^5
Solution
The 5th term is given by C(6, 4) * (3x)^4 * (-2)^2 = 15 * 81x^4 * 4 = 4860x^4.
Correct Answer:
A
— -540x^5
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Q. What is the absolute value of -12? (2023)
Solution
The absolute value of -12 is 12.
Correct Answer:
C
— 12
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Q. What is the absolute value of -7? (2023)
Solution
The absolute value of -7 is 7.
Correct Answer:
C
— 7
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Q. What is the angle between the lines 2x + 3y = 6 and 4x - y = 5?
-
A.
45 degrees
-
B.
60 degrees
-
C.
90 degrees
-
D.
30 degrees
Solution
The slopes of the lines are -2/3 and 4. The angle θ can be found using tan(θ) = |(m1 - m2) / (1 + m1*m2)|.
Correct Answer:
B
— 60 degrees
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Q. What is the angle between the lines represented by the equations y = 2x + 1 and y = -1/2x + 3? (2021)
-
A.
90 degrees
-
B.
45 degrees
-
C.
60 degrees
-
D.
30 degrees
Solution
The slopes are m1 = 2 and m2 = -1/2. The angle θ between the lines is given by tan(θ) = |(m1 - m2) / (1 + m1*m2)|, which results in 90 degrees.
Correct Answer:
A
— 90 degrees
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Q. What is the angle between the lines y = 3x + 2 and y = -1/3x + 1? (2021)
-
A.
90 degrees
-
B.
45 degrees
-
C.
60 degrees
-
D.
30 degrees
Solution
The slopes are m1 = 3 and m2 = -1/3. The angle θ = tan⁻¹(|(m1 - m2) / (1 + m1*m2)|) = tan⁻¹(10/8) = 90 degrees.
Correct Answer:
A
— 90 degrees
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