Mathematics (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 186  190 of 218
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Question number: 186
» Mathematics » Arithmetic
Question
A train T_{1} leaves a place P at 5 am and reaches another place Q at 9 am another train T_{2} leaves the place Q at 7 am and reaches the place P at 10: 30 am. The time at which the two trains cross each other is
Choices
Choice (4)  Response  

a.  8: 26 am 

b.  8 am 

c.  7: 56 am 

d.  8: 15 am 

Question number: 187
» Mathematics » Basic Geometry
Question
In the given figure, PQRS is a square and ∠ABC = 90°. If AQ = BR = SC, then consider the following statements.
I. QB = RC II. AB = BC
III. ∠BAC = 45° IV. AC = PS
Choices
Choice (4)  Response  

a.  III, II and IV are correct 

b.  I, II and III are correct 

c.  I and IV are correct 

d.  All a. , b. and c. are correct 

Question number: 188
» Mathematics » Rational Numbers
Question
ABC is a triangle and AD is perpendicular to BC. It is given that the length of AB, BC and CA are all rational numbers. Which of the following is correct?
Choices
Choice (4)  Response  

a.  AD and BD must be rational 

b.  BD must be rational but AD need not be rational 

c.  AD must be rational but BD need not be rational 

d.  Neither AD nor BD need be rational 

Question number: 189
» Mathematics » Coordinate Geometry
Question
The coordinate of the point which divide the line segment joining A (2, l) and B (3, 5) internally in 2: 3 ratio is
Choices
Choice (4)  Response  

a.  (12, 13) 

b.  (6, 13) 

c.  ( , ) 

d.  (6, 6.5) 

Question number: 190
» Mathematics » Linear Equation
Question
The quadratic equation whose roots are is
Choices
Choice (4)  Response  

a.  4x^{2} + 16x – 9 = 0 

b.  4x^{2}  16x + 9 = 0 

c.  4x^{2} + 16x + 9 = 0 

d.  4x^{2}16x9 = 0 
