Mathematics (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 207  211 of 218
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Question number: 207
» 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: 208
» 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: 209
» 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: 210
» 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.  50% 

c.  75% 

d.  Both a. and b. are correct 

Question number: 211
» Mathematics » Number Systems
Question
A threedigit number has digits h, t and u (from left to right) with h > u. If the digits are reversed and the number thus formed is subtracted from the original number, the unit’s digit in the resulting number is 4. What are the other two digits of the resulting number from left to right?
Choices
Choice (4)  Response  

a.  5 and 9 

b.  5 and 4 

c.  9 and 5 

d.  4and 5 
