Mathematics (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 212  218 of 218
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Question number: 212
» Mathematics » Basic Geometry
Question
AOBC is a rectangle whose three vertices are vertices A (0, 3), O (0, 0) and B (5, 0). The length of its diagonal is
Choices
Choice (4)  Response  

a.  4 

b.  5 

c. 


d.  3 

Question number: 213
» Mathematics » Probability
Question
From 1 to 100 numbers, 3 numbers are selected at random, what is the probability that the numbers selected will have an odd sum?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 214
» Mathematics » Trigonometry
Question
If and , α and β lies between 0 and , then the value of tan 2α is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 215
» Mathematics » Percentage
Question
The difference between a discount of 40 % on Rs. 1000 and two successive discounts of 35 % and 5 % on the same amount is
Choices
Choice (4)  Response  

a.  Rs. 18.00 

b.  Rs. 15.50 

c.  Rs. 16.50 

d.  Rs. 17.50 

Question number: 216
» Mathematics » Arithmetic Progessions
Question
If x + = , then the value of x^{3} + is
Choices
Choice (4)  Response  

a.  7 

b.  5 

c.  2 

d.  8 

Question number: 217
» Mathematics » Algebraic Expressions
Question
If , then what is the value of ?
Choices
Choice (4)  Response  

a.  1 

b.  3 

c.  3 

d.  0 

Question number: 218
» Mathematics » Algebraic Expressions
Question
Consider the following statements.
I. The product of any three consecutive integers is divisible by 6.
II. Any integer can be expressed in one of the three forms 3k_{, }3k + l, 3k + 2, where k is an integer.
Which of the above statements is/are correct?
Choices
Choice (4)  Response  

a.  Only I 

b.  Only II 

c.  I and II 

d.  Neither I nor II 
