Mathematics-Algebraic Expressions (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 1 - 8 of 8

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Question number: 1

» Mathematics » Algebraic Expressions

MCQ▾

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

MCQ▾

Question

If

a+b+c=6

and

a2+b2+c2=26

, then what is the value of

ab+bc+ca

?

Choices

Choice (4) Response

a.

4

b.

5

c.

2

d.

0

Question number: 3

» Mathematics » Algebraic Expressions

MCQ▾

Question

If a+b+c=10 and ab+bc+ac=31 , then the value of a2+b2+c2 is

Choices

Choice (4) Response

a.

18

b.

48

c.

38

d.

28

Question number: 4

» Mathematics » Algebraic Expressions

MCQ▾

Question

If x+y+z=0 , then what is the value of xyz(x+y)(y+z)(z+x) where,

(x=y,y=z,z=x) ?

Choices

Choice (4) Response

a.

-1

b.

xy + yz + zx

c.

1

d.

All of the above

Question number: 5

» Mathematics » Algebraic Expressions

MCQ▾

Question

If x+1x=3, then the value of x6+1x6 is

Choices

Choice (4) Response

a.

322

b.

114

c.

364

d.

927

Question number: 6

» Mathematics » Algebraic Expressions

MCQ▾

Question

A field is in the form of circle. The cost of ploughing the field at Rs. 1.50 per m2 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

MCQ▾

Question

If a+b+c=0 , then what is the value of a2bc+b2ca+c2ab ?

Choices

Choice (4) Response

a.

1

b.

-3

c.

3

d.

0

Question number: 8

» Mathematics » Algebraic Expressions

MCQ▾

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

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