Mathematics (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 133  138 of 224
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Question number: 133
» 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: 134
» 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 

Question number: 135
» Mathematics » Percentage
Question
A man sells fans at the same price on one he gained 20 % and loses 20 % on the other. His gain or loss is
Choices
Choice (4)  Response  

a.  Neither gain nor loss 

b.  4 % loss 

c.  4 % gain 

d.  1 % loss 

Question number: 136
» Mathematics » Statistics
Question
The combined mean of three groups is 12 and the combined mean of first two groups is 3. If the first, second and third groups have 2, 3 and 5 items respectively, then mean of third group is
Choices
Choice (4)  Response  

a.  10 

b.  18 

c.  12 

d.  21 

Question number: 137
» Mathematics » Percentage
Question
The price of an item is increased by 20 % and then decreased by 20 % the final price as compared to original price is
Choices
Choice (4)  Response  

a.  4 % more 

b.  20 % more 

c.  4 % less 

d.  20 % less 

Question number: 138
» Mathematics » Algebraic Expressions
Question
A field is in the form of circle. The cost of ploughing the field at Rs. 1.50 per m^{2} is Rs. 5775. The cost of fencing the field at Rs. 8.50 per m is
Choices
Choice (4)  Response  

a.  Rs. 2870 

b.  Rs. 1870 

c.  Rs. 1970 

d.  Rs. 2970 
