A number n is a perfect cube only if there is an integer m such that n=__________

A number n is a perfect cube only if there is an integer m such that n=__________
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A number n is a perfect cube only if there is an integer m such that n=__________
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The smallest number with which 16 should be multipled to make it a perfect cube is __________

Description : The smallest number with which 16 should be multipled to make it a perfect cube is __________

Last Answer : The smallest number with which 16 should be multipled to make it a perfect cube is __________

Use Euclid’s Division Lemma to show that the cube of any positive integer is either of the form 9m, 9m + 1 or 9m + 8 -Maths 10th

Description : Use Euclid’s Division Lemma to show that the cube of any positive integer is either of the form 9m, 9m + 1 or 9m + 8 -Maths 10th

Last Answer : Let us consider a and b where a be any positive number and b is equal to 3. According to Euclid's Division Lemma a = bq + r where r is greater than or equal to zero and less than b (0 ≤ r < b) a = 3q + r so ... 8 Where m = (3q3 + 6q2 + 4q)therefore a can be any of the form 9m or 9m + 1 or, 9m + 8.

What is the remainder when positive integer ‘p’ is divided by 3? (A) ‘p’ is an even number (B) ‘p’ is a perfect square a) If statement (A) alone is sufficient to answer the question but statement (B) alone is not sufficient.

Description : What is the remainder when positive integer p' is divided by 3? (A) p' is an even number (B) p' is a perfect square a) If statement (A) alone is sufficient to answer the ... sufficient to answer the question e) If the two statements taken together are still not sufficient to answer the question.

Last Answer : Using (A), we can have p' as 2/4/6/8 etc. we cant determine remainder when divided by 3. Using (B), we can have p' as 1/4/9/16 etc. we cant determine remainder when divided by 3. Using ... be 1/0 (4/16 leave remainder 1, 36 remainder 0). So, we cant determine using both statements. Answer: e)

Aromatic molecules contain __________ π electrons. (a) no (b) 4n + 2 (with n being an integer) (c) 4n + 2 (with n being 0.5) (d) 4n (with n an integer)

Description : Aromatic molecules contain __________ π electrons. (a) no (b) 4n + 2 (with n being an integer) (c) 4n + 2 (with n being 0.5) (d) 4n (with n an integer)

Last Answer : 4n + 2 (with n being an integer)

What is the probability that a number selected at random from the set of numbers {1, 2, 3, …, 100} is a perfect cube? -Maths 9th

Description : What is the probability that a number selected at random from the set of numbers {1, 2, 3, …, 100} is a perfect cube? -Maths 9th

Last Answer : (a) \(rac{1}{25}\) Let us assume S as the sample space in all questions. S means the set denoting the total number of outcomes possible. Let S = {1, 2, 3, , 100} be the sample space. Then, n(S) = 100 Let A : ... ∴Required probability P(A) = \(rac{n(A)}{n(S)}\) = \(rac{4}{100}\) = \(rac{1}{25}\)

In a five digit number 1b6a3 a is the greatest single digit perfect cube and twice of it exceeds b by 7 .Then the sum of the number and it cube root i

Description : In a five digit number 1b6a3 a is the greatest single digit perfect cube and twice of it exceeds b by 7 .Then the sum of the number and it cube root i

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Find the smallest number which must be subtracted from the following to make them perfect cubes .What are the corresponding cube roots?

Description : Find the smallest number which must be subtracted from the following to make them perfect cubes .What are the corresponding cube roots?

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The smallest number by which 81 should be divided to make it a perfect cube is ___________

Description : The smallest number by which 81 should be divided to make it a perfect cube is ___________

Last Answer : The smallest number by which 81 should be divided to make it a perfect cube is ___________

If m is a cube root of n we write m =______________

Description : If m is a cube root of n we write m =______________

Last Answer : If m is a cube root of n we write m =______________

what should be added to 2714 to make the sum a perfect cube?

Description : what should be added to 2714 to make the sum a perfect cube?

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cube root of a perfect even cube is ___________and the perfect odd cube is ______________

Description : cube root of a perfect even cube is ___________and the perfect odd cube is ______________

Last Answer : cube root of a perfect even cube is ___________and the perfect odd cube is ______________

If a is a positive rational number and n is a positive integer greater than 1, prove that an is a rational number . -Maths 9th

Description : If a is a positive rational number and n is a positive integer greater than 1, prove that an is a rational number . -Maths 9th

Last Answer : We know that product of two rational number is always a rational number. Hence if a is a rational number then a2 = a x a is a rational number, a3 = 4:2 x a is a rational number. ∴ an = an-1 x a is a rational number.

If a is a positive rational number and n is a positive integer greater than 1, prove that an is a rational number . -Maths 9th

Description : If a is a positive rational number and n is a positive integer greater than 1, prove that an is a rational number . -Maths 9th

Last Answer : We know that product of two rational number is always a rational number. Hence if a is a rational number then a2 = a x a is a rational number, a3 = 4:2 x a is a rational number. ∴ an = an-1 x a is a rational number.

If n is a positive integer, then the number of terms in the expansion of `(x+a)^n` is

Description : If n is a positive integer, then the number of terms in the expansion of `(x+a)^n` is

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n2 – 1 is divisible by 8, if n is (a) an integer (b) a natural number (c) an odd integer (d) an even integer

Description : n2 – 1 is divisible by 8, if n is (a) an integer (b) a natural number (c) an odd integer (d) an even integer

Last Answer : (c) an odd integer

Briefly explain how to convert a string representation of a number to a numeric type, such as an Integer or a Double.

Description : Briefly explain how to convert a string representation of a number to a numeric type, such as an Integer or a Double.

Last Answer : All numeric data types have a Parse method that accepts a string parameter and returns the value represented by that string cast to the appropriate data type. You can use the Parse method of each data type to convert strings to that type.

Show that x + a is a factor of xn + an for any odd +ve integer n. -Maths 9th

Description : Show that x + a is a factor of xn + an for any odd +ve integer n. -Maths 9th

Last Answer : Let f(x) = xn + an x + a will be the factor of xn + an if f(-a) = 0 Now f(-a) = (-a)n + an = 0 (since n is a odd +ve integer) Thus (x +a) is a factor of xn + an .

Show that x + a is a factor of xn + an for any odd +ve integer n. -Maths 9th

Description : Show that x + a is a factor of xn + an for any odd +ve integer n. -Maths 9th

Last Answer : Let f(x) = xn + an x + a will be the factor of xn + an if f(-a) = 0 Now f(-a) = (-a)n + an = 0 (since n is a odd +ve integer) Thus (x +a) is a factor of xn + an .

Consider the following statements : 1. a^n + b^n is divisible by a + b if n = 2k + 1, where k is a positive integer. -Maths 9th

Description : Consider the following statements : 1. a^n + b^n is divisible by a + b if n = 2k + 1, where k is a positive integer. -Maths 9th

Last Answer : Statement (1) is correct as for k = 1, n = 2 × 1 + 1 = 3. ∴ a3 + b3 = (a + b) (a2 + b2 – ab) which is divisible by (a + b), statement (2) is also correct as for k = 1, n = 2, ∴ a2 – b2 = (a – b) (a + b) which is divisible by (a – b).

If `a lt 0` and n is any odd integer, then the sign of `root(n)(a)` is _______

Description : If `a lt 0` and n is any odd integer, then the sign of `root(n)(a)` is _______

Last Answer : If `a lt 0` and n is any odd integer, then the sign of `root(n)(a)` is _______

If `a gt 0` and `n` is any positive integer, then the sign of `root(n)(a)` is _______.

Description : If `a gt 0` and `n` is any positive integer, then the sign of `root(n)(a)` is _______.

Last Answer : If `a gt 0` and `n` is any positive integer, then the sign of `root(n)(a)` is _______.

The positive integer value of `n gt 3` satisfying the equation `(1)/(sin((pi)/(n)))=(1)/(sin((2pi)/(n)))+(1)/(sin((3pi)/(n)))` is

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Last Answer : The positive integer value of `n gt 3` satisfying the equation `(1)/(sin((pi)/(n)))=(1)/(sin((2pi)/(n)))+(1)/(sin((3pi)/(n)))` is

If there are n integers to sort, each integer has d digits and each digit is in the set {1,2, ..., k}, radix sort can sort the numbers in: (A) O(d n k) (B) O(d nk) (C) O((d+n)k) (D) O(d(n+k))

Description : If there are n integers to sort, each integer has d digits and each digit is in the set {1,2, ..., k}, radix sort can sort the numbers in: (A) O(d n k) (B) O(d nk) (C) O((d+n)k) (D) O(d(n+k))

Last Answer : (D) O(d(n+k))

Let `a`, `b`, `c`, `d` are positive integer such that `log_(a)b=3//2` and `log_(c)d=5//4`. If `a-c=9`, then value of `(b-d)` is equal to

Description : Let `a`, `b`, `c`, `d` are positive integer such that `log_(a)b=3//2` and `log_(c)d=5//4`. If `a-c=9`, then value of `(b-d)` is equal to

Last Answer : Let `a`, `b`, `c`, `d` are positive integer such that `log_(a)b=3//2` and `log_(c)d=5//4`. If `a-c=9` ... ` is equal to A. `20` B. `93` C. `10` D. `1`

A cube of side 4cm is painted with 3 colors red, blue and green in such a way that opposite sides are painted in the same color. This cube is now cut into 64 cubes of equal size. ➢ How many have at least two sides painted in different colors. ➢ How many cubes have only one side painted. ➢ How many cubes have no side painted. ➢ How many have exactly one side not painted.

Description : A cube of side 4cm is painted with 3 colors red, blue and green in such a way that opposite sides are painted in the same color. This cube is now cut into 64 cubes of equal size. ➢ How many ... one side painted. ➢ How many cubes have no side painted. ➢ How many have exactly one side not painted.

Last Answer : Here are the answers. Cubes that have at least two sides painted in different colours are 24 + 8 = 32. Cubes that have only one side painted are 24. Cubes that have no side painted = 8. Cubes that have exactly one side not painted = 0.

A cube of side 4cm is painted with 3 colors red, blue and green in such a way that opposite sides are painted in the same color. This cube is now cut into 64 cubes of equal size. 1. How many have at least two sides painted in different colors. 2. How many cubes have only one side painted. 3. How many cubes have no side painted. 4. How many have exactly one side not painted.

Description : A cube of side 4cm is painted with 3 colors red, blue and green in such a way that opposite sides are painted in the same color. This cube is now cut into 64 cubes of equal size. 1. How many ... side painted. 3. How many cubes have no side painted. 4. How many have exactly one side not painted.

Last Answer : Here are the answers. 1. Cubes that have at least two sides painted in different colours are 24 + 8 = 32. 2. Cubes that have only one side painted are 24. 3. Cubes that have no side painted = 8. 4. Cubes that have exactly one side not painted = 0.

Is the integer 2 the only even prime number?

Description : Is the integer 2 the only even prime number?

Last Answer : What is the answer ?

Divide 15 into two parts such that product of square of one part and cube of other is maximum

Description : Divide 15 into two parts such that product of square of one part and cube of other is maximum

Last Answer : Divide 15 into two parts such that product of square of one part and cube of other is maximum

Two planets have the same density of matter, such that their masses are proportional to the cube of their radii. The ratio of their acceleration due to gravity on their surfaces is (a) r2/r1 (b) (r1/r2)2 (c) r1/r2 (d) (r2/r1)2

Description : Two planets have the same density of matter, such that their masses are proportional to the cube of their radii. The ratio of their acceleration due to gravity on their surfaces is (a) r2/r1 (b) (r1/r2)2 (c) r1/r2 (d) (r2/r1)2

Last Answer : Ans:(d) Direction: In the following question, a statement of Assertion (A) is given followed by corresponding Reason (R), just below it. Read the statements carefully and mark the correct answer: (a) If both A and ... true but R is not the correct explanation of A. (c) If A is true but R is false

The magnitude of ‘sag correction’ during measurement of lengths by taping is proportional to the : (a) Cube of the weight of the tape, in kg per m run (b) Cube root of the weight of the tape, in kg per m run (c) Square of the weight of the tape, in kg per m run (d) Square root of the weight of the tape, in kg per m run

Description : The magnitude of sag correction' during measurement of lengths by taping is proportional to the : (a) Cube of the weight of the tape, in kg per m run (b) Cube root of the weight of the tape, in kg per m run ... the tape, in kg per m run (d) Square root of the weight of the tape, in kg per m run

Last Answer : (c) Square of the weight of the tape, in kg per m run

TypeError: only integer scalar arrays can be converted to a scalar index -Web-Development

Description : TypeError: only integer scalar arrays can be converted to a scalar index -Web-Development

Last Answer : answer:

The values of the remainder r, when a positive integer a is divided by 3 are (a) 0, 1, 2(b) Only 1 (c) Only 0 or 1 (d) 1, 2

Description : The values of the remainder r, when a positive integer a is divided by 3 are (a) 0, 1, 2(b) Only 1 (c) Only 0 or 1 (d) 1, 2

Last Answer : (a) 0, 1, 2

Bresenham line drawing algorithm is attractive because it uses (A) Real arithmetic only (B) Integer arithmetic only (C) Floating point arithmetic (D) Real and integer arithmetic

Description : Bresenham line drawing algorithm is attractive because it uses (A) Real arithmetic only (B) Integer arithmetic only (C) Floating point arithmetic (D) Real and integer arithmetic

Last Answer : (B) Integer arithmetic only

The cube root of 125 is __________

Description : The cube root of 125 is __________

Last Answer : The cube root of 125 is __________

Power requirement of fans having constant wheel diameter varies __________ fan speed. (A) As square of (B) Directly as (C) As cube of (D) None of these

Description : Power requirement of fans having constant wheel diameter varies __________ fan speed. (A) As square of (B) Directly as (C) As cube of (D) None of these

Last Answer : (C) As cube of

At a constant speed of the centrifugal pump, it’s __________ the impeller diameter. (A) Capacity varies directly with (B) Head varies as the square of (C) Horsepower varies as the cube of (D) All (A), (B) and (C)

Description : At a constant speed of the centrifugal pump, it’s __________ the impeller diameter. (A) Capacity varies directly with (B) Head varies as the square of (C) Horsepower varies as the cube of (D) All (A), (B) and (C)

Last Answer : (D) All (A), (B) and (C)

The fluid velocity varies as the cube of the cylindrical pipe diameter in case of steady state laminar flow at constant pressure drop for __________ fluid. (A) Newtonian (B) Pseudo-plastic (C) Dilatent (D) Bingham plastic

Description : The fluid velocity varies as the cube of the cylindrical pipe diameter in case of steady state laminar flow at constant pressure drop for __________ fluid. (A) Newtonian (B) Pseudo-plastic (C) Dilatent (D) Bingham plastic

Last Answer : (B) Pseudo-plastic

The factional resistance of a pipe varies approximately with __________ of the liquid. (A) Pressure (B) Velocity (C) Square of velocity (D) Cube of velocit

Description : The factional resistance of a pipe varies approximately with __________ of the liquid. (A) Pressure (B) Velocity (C) Square of velocity (D) Cube of velocit

Last Answer : Answer: Option C

In precision theodolite traverse if included angles are read twice and the mean reading accepted using both verniers having a least count of 30". Assuming the instrument to be in perfect adjustment, linear measurements correct to 6 mm per 30 metre tape duly corrected for temperature, slope and sag, the angular error of closure not to exceed (where n is the number of traverse legs) (A) 50" n(B) 30" n(C) 60" n (D) None of these

Description : In precision theodolite traverse if included angles are read twice and the mean reading accepted using both verniers having a least count of 30". Assuming the instrument to be in perfect adjustment, linear measurements correct to 6 mm per ... legs) (A) 50" n (B) 30" n (C) 60" n (D) None of these

Last Answer : (A) 50" n

A framed structure is perfect if it contains members equal to (A) 2n 3 (B) nl (C) 2nl (D) 3n² Where n = number of joints in a frame

Description : A framed structure is perfect if it contains members equal to (A) 2n 3 (B) nl (C) 2nl (D) 3n² Where n = number of joints in a frame

Last Answer : (A) 2n 3

If m and n are two odd prime numbers such that m (a) an even number (b) an odd number (c) an odd prime number (d) a prime number

Description : If m and n are two odd prime numbers such that m (a) an even number (b) an odd number (c) an odd prime number (d) a prime number

Last Answer : (a) an even number

Write the given sets in roster form: (a). P = {y: y is an integer and -4 < y < 6}. (b). Q = {y: y is a natural number which is <8} (c). R = {y: y is a 2 digit natural number in which the sum of its digits is 9} -Other

Description : Write the given sets in roster form: (a). P = {y: y is an integer and -4 < y < 6}. (b). Q = {y: y is a natural number which is

Last Answer : (i) A = {x: x is an integer and †3 < x < 7} The elements of this set are †2, †1, 0, 1, 2, 3, 4, 5, and 6 only. Therefore, the given set can be written in roster form as A = {†2, †... and 80 only. Therefore, this set can be written in roster form as C = {17, 26, 35, 44, 53, 62, 71, 80}}.

Is 9.9 a natural,whole,integer, rational,irrational, or real number?

Description : Is 9.9 a natural,whole,integer, rational,irrational, or real number?

Last Answer : rational

Is -0.462 a whole number or integer?

Description : Is -0.462 a whole number or integer?

Last Answer : Neither because it is a decimal number

Why is the following a poor definition for a whole number. A whole number is a positive integer.?

Description : Why is the following a poor definition for a whole number. A whole number is a positive integer.?

Last Answer : Zero is a whole number.

A number is between -1 and -5 what is least possible integer value of its opposite?

Description : A number is between -1 and -5 what is least possible integer value of its opposite?

Last Answer : 4

A number is between -1 and -5 what is least possible integer value of its opposite?

Description : A number is between -1 and -5 what is least possible integer value of its opposite?

Last Answer : 4

A number with both integer and a fractional part has digits raised to both positive and negative powers of 2 in a decimal number system. a) True b) False

Description : A number with both integer and a fractional part has digits raised to both positive and negative powers of 2 in a decimal number system. a) True b) False

Last Answer : Answer: b Explanation: In a decimal number system, a number with both integer and a fractional part has digits raised to both positive and negative powers of 10 and not 2. e.g. 22.34 = 2 * 101 + 2 * 100 + 3 * 10-1 + 4 * 10-2