Mathematics (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 13  17 of 224
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Question number: 13
» Mathematics » Arithmetic Progessions
Question
The equation (1 + m ^{2}) x ^{2} + 2 mcx + c ^{2}  a ^{2} = 0 has equal roots, if
Choices
Choice (4)  Response  

a.  a ^{2}=c ^{2 } (1 + m ^{2}) 

b.  a ^{2}=c ^{2}0m ^{2}) 

c.  c ^{2} = a ^{2} (1 + m ^{2}) 

d.  c ^{2} = a ^{2} (1  m ^{2}) 

Question number: 14
» Mathematics » Trigonometry
Question
There is a small Island in the middle of a 100 m wide river. There is tall tree on the Island. Points P and Q are directly opposite to each other on the two banks and in line with the tree. If the angles of elevation of the top of the tree at P and Q are 30° and 45°. Then, the height of tree is
Choices
Choice (4)  Response  

a.  50 ( + 1) m 

b.  50 ( 1) m 

c.  50 m 

d.  None of the above 

Question number: 15
» Mathematics » Simple Interest and Compound Interest
Question
A lends a sum of money for 10 year at 5 % simple interest, B lends double that amount for 5 year at the same rate of interest. Which of the following statement is true in this regard?
Choices
Choice (4)  Response  

a.  A will get twice the amount of interest that B would get 

b.  B will get four times the amount of interest that A would get 

c.  B will get twice the amount of interest that A would get 

d.  A and B will get the same amount as an interest 

Question number: 16
» Mathematics » Arithmetic
Question
A train running at the speed of 54 km/h takes 12 s to pass a certain point. Then, the length of the train is
Choices
Choice (4)  Response  

a.  170 m 

b.  190 m 

c.  180 m 

d.  160 m 

Question number: 17
» Mathematics » Probability
Question
Two coins are tossed simultaneously. The probability of getting one head is
Choices
Choice (4)  Response  

a.  1/4 

b.  1/2 

c.  1/3 

d.  3/4 
