Mathematics (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 8  12 of 218
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Question number: 8
» Mathematics » Algebraic Expressions
Question
What can be said about the expansion of 2 ^{12n}  6 ^{4n}, where n is a positive integer?
Choices
Choice (4)  Response  

a.  Last digit is 8 

b.  Last digit is 2 

c.  Last digit is 4 

d.  Last two digits are zero 

Question number: 9
» Mathematics » Trigonometry
Question
If ABCD is a quadrilateral whose diagonals AC and BD intersects at O, then which of the given option is correct?
Choices
Choice (4)  Response  

a.  (AB + BC + CD + DA) = 2 (AC + BD) 

b.  (AB + BC + CD + DA) < (AC + BD) 

c.  (AB + BC + CD + DA) > (AC + BD) 

d.  (AB + BC + CD + DA) < 2 (AC + BD) 

Question number: 10
» Mathematics » Arithmetic
Question
Two planes start from a city and fly in opposite directions, one averaging a speed of 40 km/h greater than the others. If they are 3400 km apart after 5 h, the average speeds, respectively are
Choices
Choice (4)  Response  

a.  300, 340 km/h 

b.  250, 290 km/h 

c.  330, 370 km/h 

d.  320, 360 km/h 

Question number: 11
» Mathematics » Trigonometry
Question
CD is a direct common tangent to two circles intersecting each other at A and B. Then, ⦟CAD + ⦟CBD is equal to
Choices
Choice (4)  Response  

a.  180° 

b.  120 ^{0} 

c.  90° 

d.  360° 

Question number: 12
» Mathematics » Basic Geometry
Question
If the length of a rectangle is increased by 10 % and the area is unchanged, then by how much percent does the breadth decrease?
Choices
Choice (4)  Response  

a.  10 % 

b.  9 % 

c.  100/9 % 

d.  100/11 % 
