Integers

Q.

Supriya runs a marathon race in$50$ minutes at an average speed of $48km/hr$ in order to set a national record she need to win the race in $40$ minutes considering that her speed remain constant at what minimum speed she run to set the record

Q.

Find the difference between the greatest and the least number that can be written using the digits $6,2,7,4,3$ each only once.

Q.

If an integer $k$ is divisible by $2,5$ and $13$, what is the next largest number that is divisible by all the $3$ given numbers?

Q.

A machine on an average manufactures $2825$ screws a day. How many screws did it produce in the month of January $2006$?

Q. Question 6
Rita goes 20 km towards east from a point A to the point B. From B, she moves 30 km towards west along the same road. If the distance towards east is represented by a positive integer then, how will you represent the distance travelled towards west? By which integer will you represent her final position from A?

Q.

The sum of $3$ consecutive odd numbers is $27$, how do you find the numbers?

Q.

The sum of three consecutive even numbers is 54.Find the numbers.

Q.

Mention the formula to calculate the BMI (Body Mass Index).

Q.

Surekha travels $10km$ to reach her office she walks $0.5km$ on foot at a speed of $8kmph$ to catch a bus which travels at a speed of $40kmph$ What is the time taken by Surekha to reach the office?

Q.

A taxi-driver, filled his car petrol tank with $40\mathrm{litres}$ of petrol on Monday. The next day, he filled the tank with $50\mathrm{litres}$ of petrol. If the petrol costs $\mathrm{Rs}44\mathrm{per}\mathrm{litres}$ how much did he spend in all on petrol $?$

Q.

The sum of two numbers is $1000$ and the difference between their square is $256000$. Find the numbers.

Q.

The largest negative integer is

1. -2
2. -1
3. -3
4. -4

Q.

Find a pair of integers whose difference is $2$.

Q.

There are $28$ laddoos in $1$ kg. How many laddoos will be there in $12$ kg? If $16$ laddoos can be packed in $1$ box, how many boxes are needed to pack all these laddoos?

Q.

Place value and face value are always equal at which place?

1. Hundreds

2. Ones

3. Thousands

4. Tens

Q.

A water tank has steps inside it. A monkey is sitting on the top most step. (ie, the first step) The water level is at the ninth step.
(a) He jumps $3$ steps down and then jumps back $2$ step up. In how many jumps will he reach the water level?
(b) After drinking water, he wants to go back. For this, he jumps $4$ steps up and then jumps back $2$ steps down in every move. In how many jumps will he reach back the top step?

Q.

Find the square root of $2116$ by prime factorization method

Q.

If a four digit number A381 is divisible by 11 then find the smallest value for A( Natural number)

Q.

Bob leaves the school walking home at the speed $3$ mph.

At the same time his sister leaves the house and starts biking to school at the speed $12$ mph.

How far from home is their school if they meet in $10$ minutes $?$

Q. Munna subtracts thrice the number of notebooks he has from 50, he finds the result to be 8. What is the required number?

1. 14
2. 22
3. 16
4. 24

Q.

Find the sum:

$\frac{-8}{19}+\frac{(-2)}{57}$

Q.

Predecessor of -9 is

Q.

Question 10

Oranges are to be transferred from larger boxes into smaller boxes. When a large box is emptied, the oranges from it fill two smaller boxes and still 10 oranges remain outside. If the number of oranges in a small box are taken to be x, what is the number of oranges in the larger box?

Q.

Question 54

Solve the following:

$\frac{0.2x+5}{3.5x-3}=\frac{2}{5}$

Q.

What is $1$ mod $3$?

Q.

What will be the sign of the product if we multiply 39 negetive integers and 98 positive integer

Q.

Which of the following statements is/are true?

(i) The smallest integer is zero.

(ii) The multiplicative identity for integers is -1.

(iii) The absolute value of an integer is always greater than the integer.

(iv) Every negative integer is less than any natural number.

1. i, iii, iv

2. i, iv

3. ii, iv

4. Only iv

Q. Find the value of (-1 + 4 – 3 + 11 – 5 + 10)

1. 16
2. 17
3. - 15
4. 12

Q.

How many positive integers between $1000$ and $9999$ inclusive have distinct digits?

Q.

If $\left|z+4\right|\le 3$, then the greatest and least value of $\left|z+1\right|$ are

1. $6,-6$

2. $6,0$

3. $7,2$

4. $0,-1$