Basic Mathematics (KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math): Questions 113  117 of 164
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Question number: 113
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Question
Consider a square PQRS of side 16 and let M, N be the midpoints of PQ, RS respectively. Take a point O on MN and let PO = 7, OR = 11. Then the area of the triangle whose sides are 7,11,16 is –
Choices
Choice (4)  Response  

a.  64 

b.  36 

c.  77 

d.  44 

Question number: 114
» Basic Mathematics » Algebra » Solving Equations
Question
Which of the following can be true if and only if for x, y and z are positive and real?
Choices
Choice (4)  Response  

a. 
AND


b. 


c. 


d.  All a. , b. and c. are correct 

Question number: 115
» Basic Mathematics » Arithmetic » Rates, Speeds and Unitary Method
Question
Two workers A and B are engaged to do a piece of work. Working alone, A takes 12 hours more to complete the work than if both worked together. On the other hand, working alone, B would need 3 hours more to complete the work than if both worked together. How much time would they take to complete the job working together?
Choices
Choice (4)  Response  

a. 


b.  9 hr 

c.  8 hr 

d.  6 hr 

Question number: 116
» Basic Mathematics » Arithmetic » Ratio and Proportion
Question
I carried 500 kg of watermelon in summer by train. In the beginning, the water content was 95%. By the time I reached the destination, the water content had dropped to 92%. The reduction in the weight of the watermelon was
Choices
Choice (4)  Response  

a.  312.5 

b.  150.5 

c.  163 

d.  187.5 

Question number: 117
» Basic Mathematics » Arithmetic » Simplifying Expressions
Question
If x is real, the value of will not be less than,
Choices
Choice (4)  Response  

a.  5 

b.  8 

c.  7 

d.  6 
