KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math: Questions 104  109 of 265
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Question number: 104
» 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: 105
» 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: 106
» 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: 107
» 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 

Question number: 108
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Question
In the figure given below, a rectangle of perimeter 100 units is divided into 9 congruent rectangles:
Find the value of (a, b, c).
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 109
» Sequence and Series » Arithmetic Series
Appeared in Year: 2015
Question
If n is the smallest natural number such that n + 2n + 3n + … + 99n is a perfect square, then the number of digits in n^{2} is
Choices
Choice (4)  Response  

a.  2 

b.  1 

c.  3 

d.  more than 3 
