Mathematics (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 25  29 of 218
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Question number: 25
» Mathematics » Percentage
Question
A rise of 25 % in the price of grapes compels a person to buy 1.5 kg of grapes less for Rs. 240. Then, the original price of grapes per kg is
Choices
Choice (4)  Response  

a.  Rs. 28 

b.  Rs. 32 

c.  Rs. 30 

d.  Rs. 40 

Question number: 26
» Mathematics » Statistics
Question
If the mean of five observations x, x + 2, x + 4, x + 6 and x + 8 is 11, then the mean of first three observations is
Choices
Choice (4)  Response  

a.  11 

b.  13 

c.  9 

d.  12 

Question number: 27
» Mathematics » Basic Geometry
Question
The length and the breadth of a rectangular park are in the ratio of 8: 5. A path, 1.5 m wide running all around the outside of the park has an area of 594 m ^{2}. The dimensions of the park are
Choices
Choice (4)  Response  

a.  120 m, 75 m 

b.  110 m, 85 m 

c.  100 m, 95 m 

d.  Question does not provide sufficient data or is vague 

Question number: 28
» 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: 29
» 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 
