Basic Mathematics (KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math): Questions 47  52 of 164
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Question number: 47
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2013
Question
Suppose the height of a pyramid with a square base is decreased by p % and the lengths of the sides of its square base are increased by p% (where p > 0). If the volume remains the same, then.
Choices
Choice (4)  Response  

a.  60 < p < 65 

b.  50 < p < 55 

c.  65 < p < 70 

d.  55 < p < 60 

Question number: 48
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2010
Question
The three different face diagonals of a cuboid (rectangular parallelepiped) have lengths 39, 40, 41. The length of the main diagonal of the cuboid which joins a pair of opposite corners is
Choices
Choice (4)  Response  

a.  60 

b. 


c. 


d.  49 

Question number: 49
» Basic Mathematics » Algebra » Solving Equations
Appeared in Year: 2010
Question
A student notices that the roots of the equation are each 1 less than the roots of the equation Then a + b is,
Choices
Choice (4)  Response  

a.  – 2 

b.  – 5 

c.  Possibly any real number 

d.  – 4 

Question number: 50
» Basic Mathematics » Arithmetic » Number Games
Question
How many distinct primes is dividing 21! + 22! + 23! ?
Choices
Choice (4)  Response  

a.  12 

b.  9 

c.  5 

d.  7 

Question number: 51
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Question
Let ABCD be a trapezium with AD parallel to BC. Assume there is a point M in the interior of the segment BC such that AB = AM and DC = DM. Then the ratio of the area of the trapezium to the area of triangle AMD is –
Choices
Choice (4)  Response  

a.  3 

b.  4 

c.  2 

d.  None of the above 

Question number: 52
» Basic Mathematics » Arithmetic » Absolute Value
Question
The least positive integer n from which is,
Choices
Choice (4)  Response  

a.  7 

b.  8 

c.  9 

d.  6 
