MathematicsAlgebraic Expressions (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 1  8 of 8
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Question number: 1
» 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: 2
» Mathematics » Algebraic Expressions
Question
If
and
, then what is the value of
?
Choices
Choice (4)  Response  

a.  4 

b.  5 

c.  2 

d.  0 

Question number: 3
» Mathematics » Algebraic Expressions
Question
If and , then the value of is
Choices
Choice (4)  Response  

a.  18 

b.  48 

c.  38 

d.  28 

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

a.  1 

b.  xy + yz + zx 

c.  1 

d.  All of the above 

Question number: 5
» Mathematics » Algebraic Expressions
Question
If then the value of is
Choices
Choice (4)  Response  

a.  322 

b.  114 

c.  364 

d.  927 

Question number: 6
» 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 

Question number: 7
» 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: 8
» 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 
