KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math: Questions 255  259 of 265
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Question number: 255
» Basic Mathematics » Arithmetic » Rates, Speeds and Unitary Method
Appeared in Year: 2016
Question
There are two candles of same length and same size. Both of them burn at uniform rate. The first one burns in and the second one burns in . Both the candles are lit together. After how many minutes the length of first candle is times that of the other?
Choices
Choice (4)  Response  

a.  150 

b.  90 

c.  135 

d.  120 

Question number: 256
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2016
Question
Consider the equation , where are real numbers. Then,
Choices
Choice (4)  Response  

a.  There are infinitely many solution pairs 

b.  There is no solution pair 

c.  There are exactly two solution pairs 

d.  There is exactly one solution pair 

Question number: 257
» Basic Mathematics » Geometry » Quadrilateral and Properties
Appeared in Year: 2016
Question
Let be a trapezium, in which is parallel to , and . The distance between and is
Choices
Choice (4)  Response  

a.  2 

b.  2.4 

c.  2.8 

d.  Not determinable with the data 

Question number: 258
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2016
Question
Let be real number such that for some positive integers and . Then for any choice of positive integers and , is never equal to –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 259
» Sets, Relations and Functions » Functions and Composition
Appeared in Year: 2016
Question
Let be non – empty subsets of satisfying the following conditions:
(i) the numbers are distinct;
(ii) are pairwise disjoint.
(Here denotes the number of elements in the set . )
Then the maximum possible value of is –
Choices
Choice (4)  Response  

a.  13 

b.  16 

c.  15 

d.  14 
