Test Details

Integers

Jan 30, 7:00 PM

120 minutes

Feb 06, 7:00 PM

100.0 marks

MCQ

50 questions

Sushil Susawat

Class Details

Maths

Science

English Grammar

Class 6

Maths

Science

English Grammar

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Question Text

Question 2 :
If the sum of two integers is $- 26$ and one of them is $-14$, then the other integer is.

Question 3 :
Temperature at the foot of a mountain is $+5^{\circ}C$. It fell down by $10^{\circ}C$ at the top of the mountain. The temperature recorded on the top is 

Question 4 :
Integer used to represent walking $3$ km towards the north is

Question 9 :
The smallest integer value of x for which$\displaystyle \frac{7}{x}$ is an integer is

Question 15 :
Sum of two integers is $+62$. If one of the integer is $-48$ then the other is

Question 16 :
State true or false: Between any two distinct integers there is always an integer.

Question 17 :
The smallest positive integer n for which $\left( \frac { 1+i }{ 1-i } \right)^n$ = -1 is

Question 18 :
State whether the following statement as True or False.Every integer is a natural number.

Question 19 :
Prove that the equation $\displaystyle x^{2}+\left ( x+1 \right )^{2}=y^{2}$ has infinitely many solutions in positive integers.

Question 20 :
What should be added to $18 $ to get $- 34$?

Question 24 :
State whether true or false  The absolute value of an integer is greater than the integer.

Question 31 :
State whether true or false  The sum of a negative integer and a positive integer is always a negative integer.

Question 32 :
Find two consecutive positive integers, sum of whose squares is 613.

Question 34 :
Let m be a positive integer. Then all pairs of integers (x, y) such that $\displaystyle x^{2}(x^{2}+y^{2})= y^{m+1}$ is x= $\displaystyle t^{5}+t^{3},y=t^{4}+t^{2}$. If true then enter $1$ and if false then enter $0$

Question 36 :
If $x$ and $y$ are negative, then which of the following statements is/are always true? I. $x + y$ is positive   II. $x\times y$ is positive   III. $x - y$ is positive

Question 38 :
Temperature at the foot of a mountainis $+5^{\circ}$C. It fell down by $10^{\circ}$C at the top of the mountain. The temperaturerecorded on the top is

Question 39 :
State whether true or false  The negative of a negative integer is positive.

Question 41 :
Prove that the system of equations $\left\{ \begin{matrix}x^2 + 6y^2 = z^2 & \\6x2 +y2 = t2  & \end{matrix}\right.$ has no positive integer solutions.

Question 42 :
If m, n are the positive integers (n > 1) such that$\displaystyle m^{n}=121 $ then value of$\displaystyle \left ( m-1 \right )^{n+1}$ is

Question 43 :
Show that there are infinitely many systems of positive integers (x,y,z,t) which have no common divisor greater that 1 and such that $\displaystyle x^{3}+y^{3}+z^{2}=t^{4}.$

Question 45 :
The sum of four consecutive integers is 46 then the four integers are  

Question 46 :
Zero is not an integer as it is neither positive nor negative.

Question 48 :
Sum of two integers is $+62$. If one of the integer is $-48$, then the other is

Question 49 :
Consider equation $I : x + y + z = 46$ where $x, y$, and $z$ are positive integers, and equation II: $x + y + z + w = 46$, where $x, y, z$ and $w$ are positive integers. Then

Question 50 :
The sum of the integers from $1$ to $100$ which are not divisible by $3$ or $5$ is

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