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General
Easy

Question

# Complete the following sentence with a co-ordinating conjunction.Would you rather have cheese _______bologna on your sandwich?

## The correct answer is: Or

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General

### Identify synonym for the word ‘reflexive’.

Explanation- Synonyms are usually the words that have same meaning to the other word. The word compulsory also has same meaning as that of the word ‘reflexive’. Hence opt a is the correct answer.

### Identify synonym for the word ‘reflexive’.

GeneralGeneral
Explanation- Synonyms are usually the words that have same meaning to the other word. The word compulsory also has same meaning as that of the word ‘reflexive’. Hence opt a is the correct answer.
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General

### Which of the following words is an example of three letter consonant blend.

Explanation-Three letter consonant blends are made up of three consonants that are not separated by any vowels. Among the given options shrub is the only word that is made up of consonants and are not separated by any vowels. The other words have vowels in them. Hence opt d is the correct answer.

### Which of the following words is an example of three letter consonant blend.

GeneralGeneral
Explanation-Three letter consonant blends are made up of three consonants that are not separated by any vowels. Among the given options shrub is the only word that is made up of consonants and are not separated by any vowels. The other words have vowels in them. Hence opt d is the correct answer.
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General

### Identify synonym for the word ‘drawing out’.

Explanation- Synonyms are usually the words that have same meaning to the other word. The word elongate also has same meaning as that of the word ‘drawing out’. Hence opt b is the correct answer.

### Identify synonym for the word ‘drawing out’.

GeneralGeneral
Explanation- Synonyms are usually the words that have same meaning to the other word. The word elongate also has same meaning as that of the word ‘drawing out’. Hence opt b is the correct answer.
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General

### Choose the word from the following that starts with “Un”.

Explanation-Unhealthy is the only word among the given options that starts with “Un”. The remaining three words starts with “Dis”. Hence opt a is the correct answer.

### Choose the word from the following that starts with “Un”.

GeneralGeneral
Explanation-Unhealthy is the only word among the given options that starts with “Un”. The remaining three words starts with “Dis”. Hence opt a is the correct answer.
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General

### Identify the adjective that starts with letter ’I’ among the following.

Explanation- Among the given options interesting is the adjective that is starting with the letter ‘I’. Hence opt a is the correct answer

### Identify the adjective that starts with letter ’I’ among the following.

GeneralGeneral
Explanation- Among the given options interesting is the adjective that is starting with the letter ‘I’. Hence opt a is the correct answer
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General

### Identify the word that starts with ‘I’

Explanation- Among the given options ‘Instruction’ is the word that is starting with the letter ‘I’. Hence opt c is the correct answer

### Identify the word that starts with ‘I’

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Explanation- Among the given options ‘Instruction’ is the word that is starting with the letter ‘I’. Hence opt c is the correct answer
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General

### Identify antonym for the word ‘dismantle’.

Explanation- Antonyms are usually the words that have opposite meaning to the other word. The word assemble has exactly opposite meaning as that of the word ‘dismantle’. Hence opt d is the correct answer

### Identify antonym for the word ‘dismantle’.

GeneralGeneral
Explanation- Antonyms are usually the words that have opposite meaning to the other word. The word assemble has exactly opposite meaning as that of the word ‘dismantle’. Hence opt d is the correct answer
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General

### Identify singular noun among the following

Explanation- Singular noun is a noun that refers only to one person, place or thing. Hence opt a is the correct answer.

### Identify singular noun among the following

GeneralGeneral
Explanation- Singular noun is a noun that refers only to one person, place or thing. Hence opt a is the correct answer.
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General

### Select the most appropriate synonym of the given word ASSERTION

Explanation-The word Assertion means a solemn and often public declaration of truth or existence of something. The synonyms of word Assertion are declaration, affirmation, claim. Hence we can say that the word Declaration is same in meaning.

### Select the most appropriate synonym of the given word ASSERTION

GeneralGeneral
Explanation-The word Assertion means a solemn and often public declaration of truth or existence of something. The synonyms of word Assertion are declaration, affirmation, claim. Hence we can say that the word Declaration is same in meaning.
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General

### Select the most appropriate synonym of the given word ASSERTION

Explanation-The word Assertion means a solemn and often public declaration of truth or existence of something. The synonyms of word Assertion are declaration, affirmation, claim. Hence we can say that the word Declaration is same in meaning.

### Select the most appropriate synonym of the given word ASSERTION

GeneralGeneral
Explanation-The word Assertion means a solemn and often public declaration of truth or existence of something. The synonyms of word Assertion are declaration, affirmation, claim. Hence we can say that the word Declaration is same in meaning.
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Maths-

### Prove that  is an irrational number.

Let's assume that  is a rational number.
Step 1 of 2:
If   is rational, that means it can be written in the form of p/q, where p and q integers that have no common factor other than 1 i.e. they are coprime than 1 and q ≠ 0.
SO,

Squaring both sides
......  (1)

This means  can be divided by 5
Step 2 of 2:
So if   can be divided by 5, then  can also be divided by 5
So, let’s say

Squaring both sides

Putting the value of  in equation (1)

So, this means q² is divisible by 5 and so q is also divisible by 5.
Final Answer: p and q both are divisible 5 but we assumed that p and q are coprime and this contradiction has arisen because of our incorrect assumption that   is a rational number. So, we conclude that  is an irrational number.

### Prove that  is an irrational number.

Maths-General
Let's assume that  is a rational number.
Step 1 of 2:
If   is rational, that means it can be written in the form of p/q, where p and q integers that have no common factor other than 1 i.e. they are coprime than 1 and q ≠ 0.
SO,

Squaring both sides
......  (1)

This means  can be divided by 5
Step 2 of 2:
So if   can be divided by 5, then  can also be divided by 5
So, let’s say

Squaring both sides

Putting the value of  in equation (1)

So, this means q² is divisible by 5 and so q is also divisible by 5.
Final Answer: p and q both are divisible 5 but we assumed that p and q are coprime and this contradiction has arisen because of our incorrect assumption that   is a rational number. So, we conclude that  is an irrational number.
General
Maths-

### Prove that  is an irrational number.

Hint:
The real numbers which cannot be expressed in the form of p/q(where p and q are integers and q ≠ 0) are known as irrational numbers. In the given question we are asked to prove if   is irrational number. To do so we use the method of contradiction.
Solution
Let's assume that  is a rational number.
Step 1 of 2:
If  is rational, that means it can be written in the form of p/q, where p and q integers that have no common factor other than 1 i.e. they are coprime than 1 and q ≠ 0.

So,

q = p

Squaring both sides,

5q= p2

q2=
This means p2  can be divided by 5
Step 2 of 2:
So if p2 can be divided by 5, then p can also be divided by 5

So, let’s say

p=5r

Squaring both sides

Putting the value of p2 in eq-1

So, this means q² is divisible by 5 and so q is also divisible by 5.
Final Answer: p and q both are divisible 5 but we assumed that p and q are coprime and this contradiction has arisen because of our incorrect assumption that   is a rational number. So, we conclude that  is an irrational number.

### Prove that  is an irrational number.

Maths-General
Hint:
The real numbers which cannot be expressed in the form of p/q(where p and q are integers and q ≠ 0) are known as irrational numbers. In the given question we are asked to prove if   is irrational number. To do so we use the method of contradiction.
Solution
Let's assume that  is a rational number.
Step 1 of 2:
If  is rational, that means it can be written in the form of p/q, where p and q integers that have no common factor other than 1 i.e. they are coprime than 1 and q ≠ 0.

So,

q = p

Squaring both sides,

5q= p2

q2=
This means p2  can be divided by 5
Step 2 of 2:
So if p2 can be divided by 5, then p can also be divided by 5

So, let’s say

p=5r

Squaring both sides

Putting the value of p2 in eq-1

So, this means q² is divisible by 5 and so q is also divisible by 5.
Final Answer: p and q both are divisible 5 but we assumed that p and q are coprime and this contradiction has arisen because of our incorrect assumption that   is a rational number. So, we conclude that  is an irrational number.

General
Maths-

### State if 0.24758326…. is a rational number or irrational number with a suitable explanation.

The given number is 0.24758326….
Step 1 of 2:
In this step, we will check if the given is non-terminating or not and if the number is not non-terminating then it is a rational number. As the given number 0.24758326…. is non-terminating so let's proceed to our next step.
Step 2 of 2:
In this step, we will check if the given is non-repeating or not and if the number is not non-repeating then it is a rational number. An example of a repeating number is 0.333333…… So, the given number 0.24758326…. is non-repeating.
As the given number 0.24758326…. is non-repeating and non-terminating. Hence, 0.24758326…. is an irrational number.

### State if 0.24758326…. is a rational number or irrational number with a suitable explanation.

Maths-General
The given number is 0.24758326….
Step 1 of 2:
In this step, we will check if the given is non-terminating or not and if the number is not non-terminating then it is a rational number. As the given number 0.24758326…. is non-terminating so let's proceed to our next step.
Step 2 of 2:
In this step, we will check if the given is non-repeating or not and if the number is not non-repeating then it is a rational number. An example of a repeating number is 0.333333…… So, the given number 0.24758326…. is non-repeating.
As the given number 0.24758326…. is non-repeating and non-terminating. Hence, 0.24758326…. is an irrational number.
General
Maths-

### Prove that  is an irrational number.

Hint:
The real numbers which cannot be expressed in the form of p/q(where p and q are integers and q ≠ 0) are known as irrational numbers. In the given question we are asked to prove if   is irrational number. To do so we use the method of contradiction.
Solution
Let's assume that  is a
rational number.
Step 1 of 2:
If  is rational, that means it can be written in the form of p/q, where p and q integers that have no common factor other than 1 i.e. they are coprime than 1 and q ≠ 0.

So,

q = p

Squaring both sides,

5q= p2

q2=
This means p2  can be divided by 5
Step 2 of 2:
So if p2 can be divided by 5, then p can also be divided by 5

So, let’s say

p=5r

Squaring both sides

Putting the value of p2 in eq-1

So, this means q² is divisible by 5 and so q is also divisible by 5.
Final Answer: p and q both are divisible 5 but we assumed that p and q are coprime and this contradiction has arisen because of our incorrect assumption that   is a rational number. So, we conclude that  is an irrational number.

### Prove that  is an irrational number.

Maths-General
Hint:
The real numbers which cannot be expressed in the form of p/q(where p and q are integers and q ≠ 0) are known as irrational numbers. In the given question we are asked to prove if   is irrational number. To do so we use the method of contradiction.
Solution
Let's assume that  is a rational number.
Step 1 of 2:
If  is rational, that means it can be written in the form of p/q, where p and q integers that have no common factor other than 1 i.e. they are coprime than 1 and q ≠ 0.

So,

q = p

Squaring both sides,

5q= p2

q2=
This means p2  can be divided by 5
Step 2 of 2:
So if p2 can be divided by 5, then p can also be divided by 5

So, let’s say

p=5r

Squaring both sides

Putting the value of p2 in eq-1

So, this means q² is divisible by 5 and so q is also divisible by 5.
Final Answer: p and q both are divisible 5 but we assumed that p and q are coprime and this contradiction has arisen because of our incorrect assumption that   is a rational number. So, we conclude that  is an irrational number.

General
Maths-

### The line in the xy-plane above represents the relationship between the height h(x), in feet, and the base diameter x , in feet, for cylindrical Doric columns in ancient Greek architecture. How much greater is the height of a Doric column that has a base diameter of 5 feet than the height of a Doric column that has a base diameter of 2 feet?

Explanation:
• We have given a graph that relates the height of the cylinder with the diameter of the base.
• We have to find the difference between the height of the cylinder when the diameter is  2 feet and 5 feet
• First, we will check the height of the cylinder at both given base diameters using the graph. And then we will find the height difference.
• Step 1 of 1:
The given graph is
• According to the graph, when the base diameter is 2 feet, the height is 14 feet
• And, when the diameter is 5 feet, the height is .35 feet
• So, The difference between the height is
• =35-14
• =21 feet
• Hence, Option C is correct.

### The line in the xy-plane above represents the relationship between the height h(x), in feet, and the base diameter x , in feet, for cylindrical Doric columns in ancient Greek architecture. How much greater is the height of a Doric column that has a base diameter of 5 feet than the height of a Doric column that has a base diameter of 2 feet?

Maths-General
Explanation:
• We have given a graph that relates the height of the cylinder with the diameter of the base.
• We have to find the difference between the height of the cylinder when the diameter is  2 feet and 5 feet
• First, we will check the height of the cylinder at both given base diameters using the graph. And then we will find the height difference.
• Step 1 of 1:
The given graph is
• According to the graph, when the base diameter is 2 feet, the height is 14 feet
• And, when the diameter is 5 feet, the height is .35 feet
• So, The difference between the height is
• =35-14
• =21 feet
• Hence, Option C is correct.