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How much work done it take to slide a create for a distance of 25 m along a loading dock by pulling on it with a 180 N force where the dock is at angle 45° from the horizontal?
How much work done it take to slide a create for a distance of 25 m along a loading dock by pulling on it with a 180 N force where the dock is at angle 45° from the horizontal?
Let f : R→R be a function such that f(0) = 1/π and f(x) = (e^x - 1)/x for x ≠ 0. Then
Let f : R→R be a function such that f(0) = 1/π and f(x) = (e^x - 1)/x for x ≠ 0. Then
The value of the limit lim x→0 (1x + 2x + 3x + 4x) / 4 is
The value of the limit lim x→0 (1x + 2x + 3x + 4x) / 4 is
The value of m for which volume of the parallepiped is 4 cubic units whose three edges are represented by a = mi + j + k, b = i − j + k, c = i + 2j – k is
The value of m for which volume of the parallepiped is 4 cubic units whose three edges are represented by a = mi + j + k, b = i − j + k, c = i + 2j – k is
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Consider the function f(x) = x^(2/3) (6 – x)^(1/3). Which of the following statement is false?
Consider the function f(x) = x^(2/3) (6 – x)^(1/3). Which of the following statement is false?
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For an invertible matrix A, which of the following is not always true?
For an invertible matrix A, which of the following is not always true?
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At how many points the following curves intersect y^2/9 + x^2/16 = 1 and x^2/4 + y^2/16 = 1
At how many points the following curves intersect y^2/9 + x^2/16 = 1 and x^2/4 + y^2/16 = 1
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The value of f(1) for f = (x^2 (y-4)^2) / (1-x) + 1 is
The value of f(1) for f = (x^2 (y-4)^2) / (1-x) + 1 is
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A committee of 5 is to be chosen from a group of 9 people. The probability that a certain maried couple will either serve together or not at all is
A committee of 5 is to be chosen from a group of 9 people. The probability that a certain maried couple will either serve together or not at all is
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If x = 1 + √2 + √4 + 8 + 16 + 32, then (1 + 1/x)^4 is
If x = 1 + √2 + √4 + 8 + 16 + 32, then (1 + 1/x)^4 is
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Which of the following number below, the smallest number which will be divided by 9, 10, 15 and 20 leaves the remainders 4, 5, 10 and 15, respectively
Which of the following number below, the smallest number which will be divided by 9, 10, 15 and 20 leaves the remainders 4, 5, 10 and 15, respectively
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Let A and B be two events defined on a sample space Ω. Suppose AC denotes the complement of A relative to the sample space Ω. Then the probability P(A∩B)~(A∩B)) equals
Let A and B be two events defined on a sample space Ω. Suppose AC denotes the complement of A relative to the sample space Ω. Then the probability P(A∩B)~(A∩B)) equals
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A speaks truth in 40% and B in 50% of the cases. The probability that they contradict each other while narrating some incident is:
A speaks truth in 40% and B in 50% of the cases. The probability that they contradict each other while narrating some incident is:
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The points (1, 1/2) and (3, -1/2) are
The points (1, 1/2) and (3, -1/2) are
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If (4, 3) and (12, 5) are the two foci of an ellipse passing through the origin, then the eccentricity of the ellipse is
If (4, 3) and (12, 5) are the two foci of an ellipse passing through the origin, then the eccentricity of the ellipse is
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For what values of a does the equation 6x^2 − xy + xy^2 = 0 represents two perpendicular lines and two lines inclined at angle of π/4
For what values of a does the equation 6x^2 − xy + xy^2 = 0 represents two perpendicular lines and two lines inclined at angle of π/4
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The value of Lt x→0 (e^x - e^-x - 2x)/(1-cos x)
The value of Lt x→0 (e^x - e^-x - 2x)/(1-cos x)
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The number of one-one functions f : {1,2,3} → {a, b, c, d, e} is
The number of one-one functions f : {1,2,3} → {a, b, c, d, e} is
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If one AM (Arithmetic mean) ‘a' and two GM's (Geometric means) p and q be inserted between any two positive numbers, the value of p^3 + q^3 is
If one AM (Arithmetic mean) ‘a' and two GM's (Geometric means) p and q be inserted between any two positive numbers, the value of p^3 + q^3 is
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A coin is thrown 8 number of times. What is the probability of getting a head in an odd number of throw?
A coin is thrown 8 number of times. What is the probability of getting a head in an odd number of throw?
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The value of tan(π/4 + θ)tan(3π/4 + θ) is
The value of tan(π/4 + θ)tan(3π/4 + θ) is
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Let C donote the set of all tuples (x, y, z) which satisfy x^2 – 2y = 2 where x and y are natural numbers. What is the cardinality of C?
Let C donote the set of all tuples (x, y, z) which satisfy x^2 – 2y = 2 where x and y are natural numbers. What is the cardinality of C?
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The number of distinct values of a for which the vectors a²i + j+k,i+2²j+k and i + j+²k are coplanar is
The number of distinct values of a for which the vectors a²i + j+k,i+2²j+k and i + j+²k are coplanar is
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Study Notes
Answer Key
- The provided text contains an answer key for a test.
- The key includes multiple-choice questions (MCQs).
- The answers are labeled with question numbers and associated letter options (e.g., 01. (1)).
- The questions cover various subjects indicated in the headers (e.g., Mathematics, Analytical Ability, Computer Awareness, General English).
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This answer key provides detailed responses for a multiple-choice question test covering a range of subjects including Mathematics, Analytical Ability, Computer Awareness, and General English. Each answer is clearly labeled with question numbers and corresponding letter options for easy reference.
