NSTSE (National Science Talent Search Exam Unified Council) Class 10: Questions 173  177 of 1484
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Question number: 173
» Mathematics » Pair of Linear Equations in Two Variables
Question
Assertion (Ꭺ)
Homogeneous system of linear equations is always consistent.
Reason (Ꭱ)
x = 0, y = 0 is always a solution of the homogeneous system of equations with unknowns x and y, then which of the following statement is true?
Choices
Choice (4)  Response  

a.  Ꭺ is false but Ꭱ is true  
b.  Both Ꭺ and Ꭱ are true and Ꭱ is the correct explanation of Ꭺ  
c.  Both Ꭺ and Ꭱ are true but Ꭱ is NOT the correct explanation of Ꭺ  
d.  Both Ꭺ and Ꭱ are false 
Question number: 174
» Mathematics » Pair of Linear Equations in Two Variables
Question
For what value of p does the system of equations , has non zero solution?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 175
» Mathematics » Pair of Linear Equations in Two Variables
Question
The denominator of a rational number is greater than its numerator by 3. If 3 is subtracted from the numerator and 2 is added to the denominator, the new number becomes then the original number was,
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 176
» Mathematics » Pair of Linear Equations in Two Variables
Question
For what value of p does the system of equations , has non zero solution?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 177
» Mathematics » Pair of Linear Equations in Two Variables
Question
The product of two numbers is 1960 and their HCF is 14. How many pairs of such numbers can be find?
Choices
Choice (4)  Response  

a.  3  
b.  4  
c.  2  
d.  5 