Mathematics (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 149  153 of 224
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Question number: 149
» Mathematics » Statistics
Question
If the values occurs at frequencies 1, 2, 3, 4, 5, 6…. . n respectively in a frequency distribution, then the mean is
Choices
Choice (4)  Response  

a. 


b.  1 

c.  n 

d. 


Question number: 150
» Mathematics » Quadratic Equations
Question
If and are the roots of the equation, then an equation whose roots are and is
Choices
Choice (4)  Response  

a.  ax^{2} bx + c = 0 

b.  cx^{2}+ ax + b = 0 

c.  bx^{2} + ax + c = 0 

d.  cx^{2}+ bx + a = 0 

Question number: 151
» Mathematics » Basic Geometry
Question
S_{1}and S_{2} are two circles on a plane with radius 4 cm and 2 cm, respectively and the distance between their centers is 3 cm. Which one of the following statements is true?
Choices
Choice (4)  Response  

a.  S_{1} andS_{2} touch each other internally 

b.  S_{1}and S_{2}intersect in two distinct points 

c.  S_{2}lies entirely within the circle S_{1} 

d.  S_{1} and S_{2} touch each other externally 

Question number: 152
» Mathematics » Trigonometry
Question
Two parallel lines AB and CD are intersected by a transversal line EF at M and N, respectively. The lines MP and NP are the bisectors of the interior angles BMN and DNM on the same side of the transversal. Then, ∠MPN is equal to
Choices
Choice (4)  Response  

a.  90° 

b.  135° 

c.  45° 

d.  60° 

Question number: 153
» Mathematics » Percentage
Question
A man spends 75 % of his income. If his income is increased by 20 % and he increased his expenditure by 10%. His savings percentage is increased by
Choices
Choice (4)  Response  

a.  10% 

b.  25% 

c.  50% 

d.  75% 
