Which of the following statements is/are true with respect to integers Statements A: Product of two numbers is always greater than or equal to the numbers. Statements B: Sum of two numbers is always greater than or equal to both the numbers.?

LohaHridoy
  1. Both A & B are true
  2. Both A & B are not true
  3. A is true but B is not true
  4. A is not true but B is true

0 like 0 dislike
1 views
Share with your friends

1 Answers

AhmedNazir

Call

Option 2 : Both A & B are not true

Explanation:

Suppose we have two numbers, -1 and 2

So, -1 × 2 = -2, which is not greater than or equal to the numbers

Also, if we have, 2 and 3

⇒ 2 × 3 = 6, which is greater than both of the numbers.

Thus, the first statement is not always greater than or equal to the numbers.

Now, If we do 1 + 2 = 3, which is greater than both of the numbers.

Also, if we do 1 + -1 = 0, which is not greater than both the numbers

Thus, the second statement is not always true.

Hence, both statements are not true. 

0 like 0 dislike
1 views
Talk Doctor Online in Bissoy App
The following question has three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. What is the sum of two numbers I. HCF of two numbers is 17 II. Both the numbers are of 3 digits III. LCM of two numbers is 714?

Option 2 : All the statementsSince HCF and LCM are 17 and 714 (Statement I and III) Let two numbers be 17x and 17y respectively, as 17 is the HCF of...

1 Answers 1 views
In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and choose the correct option. Quantity A: A shopkeeper earned a profit of 11.5% on a product after selling it at a discount of 10%. At what percentage above the cost price did he marked the price of the product Quantity B: A shopkeeper marked a product at 45% above its cost price. After selling it at a certain discount, he earns a profit of 15%. Find the discount percentage.?

Option 1 : Quantity A > Quantity BSolving for Quantity A: Let the cost price be Rs. ‘x’ Profit = 11.5% of x = 0.115x Selling price = Cost price + profit = x...

1 Answers 1 views
In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and choose the correct option. Quantity A: The compound interest (compounded half-yearly) on a sum of money is what percentage of the sum at a rate of 10% per annum after 2 years Quantity B: The compound interest (compounded quarterly) on a sum of money is what percentage of the sum at a rate of 10% per annum after 2 years?

Option 2 : Quantity A < Quantity BSolving for Quantity A: When the compound interest is compounded half-yearly, on a sum of Rs. P at a rate of R% after T years,...

1 Answers 1 views
Two numbers have HCF 23 and LCM 3266.What is sum of the numbers if both numbers are greater than 23?

Option 1 : 1679Given: Two numbers have HCF 23 and LCM 3266. Both numbers are greater than 23. Concept: (LCM × HCF) = Product of the numbers Calculation: ∵ both numbers are greater than 23 and they...

1 Answers 1 views
If the mean proportional value of two integers is 4624, and the two integers are equal, then what is the value of integer?

Option 1 : 68Let, the two integers be ‘x’ and ‘y’ As per given condition, x = y ⇒ Mean proportional of x and y = 4624 ⇒ x × y = 4624 ⇒...

1 Answers 1 views
A man invested equal sum of money for equal period of time. The interest he got on first sum was twice that on second sum. If the rate of interest on first sum was 12% p.a., what was the rate of interest on second sum?

Option 1 : 0.5% per monthLet the principal be Rs. P and the duration of investment be Y years. Simple interest = Principal × Rate % × Time Simple interest on first...

1 Answers 1 views
If x is the sum of integers between -9 and -1 and y is the product of integers between -3 and 5, then what is the value of x + y?

Option 4 : -35Given: x is the sum of integers between -9 and -1 y is the product of integers between -3 and 5 Calculation: Integers between -9 and -1 = - 8, -...

1 Answers 1 views
A statement is given below, followed by two conclusions- I and II. You have to consider the statement to be true even if it seems to be at variance with commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements Statement: Company ABC has marketed the product with the following slogan: "Go ahead; purchase it if the price and quality are your considerations". Conclusion I: The price of the product must be high. Conclusion II: The product must be of a good quality.?

Option 2 : Only conclusion II followsGiven statement: Company ABC has marketed the product with the following slogan: "Go ahead; purchase it if the price and quality are your considerations". According to...

1 Answers 1 views
Consider the following statements in respect of sets: 1. The union over the intersection of sets is distributive. 2. The complement of the union of two sets is equal to the intersection of their complements. 3. If the difference between the two sets is equal to the empty set, then the two sets must be equal. Which of the above statements are correct?

Option 4 : 1, 2 and 3Concept: Definition of De Morgan’s law:  The complement of the union of two sets is equal to the intersection of their complements and the complement of the...

1 Answers 1 views
Consider the following statements : 1. The sum of 5 consecutive integers can be 100. 2 The product of three consecutive natural numbers can be equal to their sum. Which of the above statements is/are correct  ?

Option 3 : Both 1 and 2  Let us assume 5 consecutive numbers as n - 2, n - 1, n, n + 1, n + 2 ⇒ (n - 2) + (n...

1 Answers 1 views
X