KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math: Questions 245  249 of 265
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Question number: 245
» Basic Mathematics » Algebra » Simplifying Expressions
Question
Let be nonzero real numbers. Which of the following statements about the quadratic equation is necessarily true?
(i) It has at least one negative 1
(ii) It has at least one positive 1
(iii) Both roots are negative
(iv) Both roots are positive (Model paper)
Choices
Choice (4)  Response  

a.  (i) and (iv) only 

b.  (i) only 

c.  (i) and (ii) only 

d.  (ii) and (iii) only 

Question number: 246
» Basic Mathematics » Geometry » Triangle and Properties
Question
The number of values of for which there is an isosceles triangle with sides of length and is – (Model Paper)
Choices
Choice (4)  Response  

a.  0 

b.  3 

c.  1 

d.  2 

Question number: 247
» Basic Mathematics » Geometry » Polygons With More Than 4 Sides
Question
On each face of a cuboid, the sum of its perimeter and its area is written. Among the six numbers so written, there are three distinct numbers and they are 12, 26 and 36. The volume of the cuboid lies between – (Model Paper)
Choices
Choice (4)  Response  

a. 


b.  11 and 20 

c.  7 and 14 

d. 


Question number: 248
» Basic Mathematics » Arithmetic » Simplifying Expressions
Question
The least positive integer for which
is – (Model paper)
Choices
Choice (4)  Response  

a.  7 

b.  2 

c.  4 

d.  3 

Question number: 249
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Question
16 points lie in a plane so that no three of them are collinear. The number of lines passing through exactly two of these points and dividing the plane into two regions each containing seven of the remaining points is – (Model Paper)
Choices
Choice (4)  Response  

a.  dependent on the configuration of points 

b.  16 

c.  4 

d.  8 
