KVPY StreamSA (Class 11) Math: Questions 120  124 of 251
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Question number: 120
» Basic Mathematics » Arithmetic » Solving Expressions
Question
Let p, q, r, s be real numbers such thatp – q= 4,  q – r= 6,  r – s= 8. Then the sum of all possible values ofs – pis –
Choices
Choice (4)  Response  

a.  36 

b.  24 

c.  9 

d.  18 

Question number: 121
» Permutations and Combinations » Simple Applications
Question
Calculate the numbers of ways to arrange the letters of the word REGULATION so that all the following three conditions hold?
1. the vowels occur in the same order (EUAIO)
2. the consonants occur in the same order (RGLTN)
3. two consonants are not arranged next to each other
Choices
Choice (4)  Response  

a.  15 

b.  6 

c.  8 

d.  9 

Question number: 122
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Question
A square ABCD is inscribed in a circle of radius 3. Two tangents to a circle at points A and B on the circle intersect at a point E. If AE = 4 then find the length of the sides of square.
Choices
Choice (4)  Response  

a.  24 

b.  12 

c. 


d. 


Question number: 123
» Basic Mathematics » Geometry » Triangle and Properties
Question
Let P be an interior point of a triangle ABC. Let Q and R be the reflections of P in AB and AC, respectively. If Q, A, R are collinear then ∠A equals 
Choices
Choice (4)  Response  

a.  90^{0} 

b.  60^{0} 

c.  30^{0} 

d.  120^{0} 

Question number: 124
» Basic Mathematics » Arithmetic » Solving Expressions
Question
If α, β, γ and θ are positive real numbers such that,
, then find the value of,
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

