Mathematics (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 180  185 of 218
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Question number: 180
» Mathematics » Probability
Question
In a single throw of a dice, what is the probability of getting a number greater than 4?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 181
» Mathematics » Trigonometry
Question
If sin (θ + ϕ) = 2 sin (θ  ϕ), then
Choices
Choice (4)  Response  

a.  sin θ = 3 sin θ  
b.  sin ϕ =sin 2 θ  
c.  cot ϕ = 3 tan θ  
d.  tan θ = 3 tan ϕ 
Question number: 182
» Mathematics » Direct and Inverse Variation
Question
If pqr = 1, what is the value of the expression ?
Choices
Choice (4)  Response  

a.  1  
b.  0  
c.  1  
d.  1/3 
Question number: 183
» Mathematics » Basic Geometry
Question
If AD, BE and CF are the medians of a ∆ABC, then the current relation between the sum of the squares of sides to the sum of the squares of median is
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  Question does not provide sufficient data or is vague 
Question number: 184
» Mathematics » Trigonometry
Question
The angle of elevations ’G^{′} of the top of a light house at a point ‘A’ on the ground is such that tan θ is . When the point is moved 240 m towards the light house, the angle of elevation become ϕsuch that tan ϕ = . Then, the height of light house is
Choices
Choice (4)  Response  

a.  200 m  
b.  235 m  
c.  215 m  
d.  225 m 
Question number: 185
» Mathematics » Basic Geometry
Question
AB and CD are two parallel lines. The points B and C are joined such that ∠ABC = 65°. A line CE is drawn making angle of 35° with the line CB, EF is drawn parallel to AB, as show in figure, then ∠CEF is equal to
Choices
Choice (4)  Response  

a.  145°  
b.  155°  
c.  160°  
d.  150° 