Scroll:Logical reasoning >> Guess two numbers based on sum, difference, product and quotient >> mcq (3485)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

 The quotient of two numbers is 2. Their product is 32. What are the two numbers 






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2)  

The quotient of two numbers is 4. The sum of the two numbers is 15. What are the two numbers






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3)  

The quotient of two numbers is 8. The difference of the two numbers is 7. What are the two numbers






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4)  

The sum of two numbers is 7, and their product is 6. What are the two numbers 






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5)  

The difference of two numbers is 6. Their product is 16. What are the two numbers






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6)  

The sum of two numbers is 17. The difference of the two numbers is 3. What are the two numbers  






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7)  

The sum of two numbers is 15, and their quotient is 2. What are the two numbers






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8)  

The product of two numbers is 72. Their quotient is 2. What are the two numbers






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9)  

The difference of two numbers is 2. The quotient of the two numbers is 3. What are the two numbers






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10)  

The sum of two numbers is 22, and their product is 121. What are the two numbers






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1)  

 The quotient of two numbers is 2. Their product is 32. What are the two numbers 





Answer: 4


SOLUTION 1 :

Think of pairs of numbers whose quotient is 2. Then find the product of each pair.

8 ÷ 4 = 2

8 × 4 = 32 

The numbers are 8 and 4.



2)  

The quotient of two numbers is 4. The sum of the two numbers is 15. What are the two numbers





Answer: 1


SOLUTION 1 :

Think of pairs of numbers whose quotient is 4. Then find the sum of each pair.

12 ÷ 3 = 4

12 + 3 = 15

 The numbers are 12 and 3.



3)  

The quotient of two numbers is 8. The difference of the two numbers is 7. What are the two numbers





Answer: 1


SOLUTION 1 :

Think of pairs of numbers whose quotient is 8. Then find the difference of each pair.

8 ÷ 1 = 8

8 – 1 = 7

The numbers are 8 and 1.



4)  

The sum of two numbers is 7, and their product is 6. What are the two numbers 





Answer: 1


SOLUTION 1 :

Think of pairs of numbers whose product is 6. Then find the sum of each pair.

6 × 1 = 6

6 + 1 = 7

The numbers are 6 and 1.



5)  

The difference of two numbers is 6. Their product is 16. What are the two numbers





Answer: 2


SOLUTION 1 :

Think of pairs of numbers whose product is 16. Then find the difference of each pair. 

8 × 2 = 16

8 – 2 = 6

The numbers are 8 and 2.



6)  

The sum of two numbers is 17. The difference of the two numbers is 3. What are the two numbers  





Answer: 2


SOLUTION 1 :

Think of pairs of numbers whose difference is 3. Then find the sum of each pair. .

10 – 7 = 3

10 + 7 = 17

The numbers are 10 and 7.



7)  

The sum of two numbers is 15, and their quotient is 2. What are the two numbers





Answer: 3


SOLUTION 1 :

Think of pairs of numbers whose quotient is 2. Then find the sum of each pair.

10 ÷ 5 = 2

10 + 5 = 15

The numbers are 10 and 5.



8)  

The product of two numbers is 72. Their quotient is 2. What are the two numbers





Answer: 3


SOLUTION 1 :

Think of pairs of numbers whose quotient is 2. Then find the product of each pair.

12 ÷ 6 = 2

12 × 6 = 72

The numbers are 12 and 6.



9)  

The difference of two numbers is 2. The quotient of the two numbers is 3. What are the two numbers





Answer: 1


SOLUTION 1 :

Think of pairs of numbers whose quotient is 3. Then find the difference of each pair.

3 ÷ 1 = 3

3 – 1 = 2

The numbers are 3 and 1.



10)  

The sum of two numbers is 22, and their product is 121. What are the two numbers





Answer: 1


SOLUTION 1 :

Think of pairs of numbers whose product is 121. Then find the sum of each pair.

11 × 11 = 121

11 + 11 = 22

The numbers are 11 and 11.