Basic Mathematics (KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math): Questions 79  85 of 164
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Question number: 79
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Question
A triangular corner is cut from a rectangular piece of paper and the resulting pentagon has sides 5, 6, 8, 9, 12 in some order. The ratio of the area of the pentagon to the area of the rectangle is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 80
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Question
In the figure given below, a rectangle of perimeter 76 units is divided into 7 congruent rectangles:
What is the perimeter of each of the smaller rectangles?
Choices
Choice (4)  Response  

a.  32 

b.  38 

c.  28 

d.  19 

Question number: 81
» Basic Mathematics » Geometry » Triangle and Properties
Question
In a right triangle ABC, the incircle touches the hypotenuse AC at D. If AD = 2 and DC = 3, the inradius of ABC is,
Choices
Choice (4)  Response  

a.  1 

b.  2 

c.  3 

d.  4 

Question number: 82
» Basic Mathematics » Arithmetic » Number Games
Question
The largest nonnegative integer p such that 12^{p} divides 15! is
Choices
Choice (4)  Response  

a.  5 

b.  2 

c.  4 

d.  3 

Question number: 83
» Basic Mathematics » Arithmetic » Number Games
Appeared in Year: 2015
Question
The largest nonnegative integer k such that 24^{k} divides 13! is
Choices
Choice (4)  Response  

a.  3 

b.  5 

c.  4 

d.  2 

Question number: 84
» Basic Mathematics » Arithmetic » Number Games
Question
For the number of 4digit numbers of the form abab (in base 10), maximum prime number is –
Choices
Choice (4)  Response  

a.  103 

b.  37 

c.  101 

d.  97 

Question number: 85
» Basic Mathematics » Arithmetic » Rates
Question
A man in a train notices that he can count 26 telephone posts in one minute. If they are known to be 46 meter apart, they at what speed is the train travelling?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

