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When two integers 10, 0, 5,5, 7 are arranged in descending or ascending order. Find out which of the following integers always remain in the middle of the arrangement.
Ascending order: 7, 5, 0, 5, 10
Descending order: 10, 5, 0, 5, 7
Which of the following statements is not true?
On the number line, the value of \((3 )\times 3\) lies on right hand of
which is to the right of 10
The value of \(5 \div (1 )\) does not lie between
which does not lie between 0 and 10
\( (10 ) \times (5) + (7)\) is equal to
For a non zero integer a which of the following is not defined ?
= not defined
Which of the following is different from others ?
\([(8) \times (3)] \times (4)\) is not equal to
The sum of two integers is 112 . If one of them is 109 the other is
112 – (109) = 112 + 109 = 3
A place is 45 metre above the sea level and other place is 25 metre below sea level. What is the difference of level in metres below the two places ?
Difference of level
The value of \([(4) \times (9)\times (25)]\div [(2) \times (3)\times (5)]\) is
A tanker contains 500 litres of water. Due to a small hole in the tanker the quantity of water is decreasing at the rate of 9 litres every hour. What will be the quantity of water in litres in the tank after 10 hours ?
A person gains Rs 2 on product x and loses Rs 3 on product y. If he sells 8 items of x and 5 items of y then his profit or loss is
Profit on selling 8 items of x = Rs = Rs 16
Loss on selling 5 items y = Rs = Rs 15
The temperature in Lucknow was \(19^{\circ}C\)in morning which dropped to \(9^{\circ}C\) in the evening. Find the temperature difference.
Temperature difference
Simplify \( (\dfrac{5621}{77}) – (20) \times (3) \times (4) – (\dfrac{3038}{49}) + 12 \times(16) \times 11 \)
A railway company makes the profit of Rs 1676 on every business class ticket and loses Rs 173 on every economy class ticket. The company sold 2358 tickets of business class and 36094 tickets of economy class in the month of July. Find the total profit or loss made by the company in July.
Profit on selling 2358 tickets of business class
Loss on selling 36094 tickets
Loss = Rs 2292254
Product of two negative integers is always
positive
If p: when two negative integers are added. We always get a negative integer.
q : when two positive integers are added, we get a positive integer then
A tank contains 500 litres of water. Due to a small hole in the tank, the quantity of water is decreasing at the rate of 9 litres every hour. What will be the quantity of the water after 8 hours?
Quantity of water 8 hours
For any two rational numbers x and y which of the following are correct, if x is positive and y is negative ?
1. x < y
2. x = y
3. x > y
As x is a positive rational number so it will be always greater than y.
What will be the sign of the product if we together multiply 200 negative integers and 12 positive integers ?
If we multiply 200 negative integers the sign will be positive.
Simplify \( ( 5 ) – (48 )\div (16 ) + (2) \times 6 \) .
In a test (+ 5) marks are given for every correct answer and (2) marks are given for every incorrect answer. Radhika answered all the questions and scored 30 marks though she got 10 correct answers. How many incorrect answers has she attempted ?
Let x be the number of incorrect answers
Anil gets 15 marks more and Arun gets 20 marks less than the marks required to pass. What is the difference of their marks obtained?
Let the pass mark be x .
Anil got x + 15
Arun got x – 20
If (11) is subtracted from the sum of 10 and a certain number and the result is (8). Find the number.
Let the number be x.
Rohit earns profit of Rs 1 by selling one pen and suffers a loss of 50 paise by selling one pencil. One day Rohit earns 5. If he sold 25 pens, how many pencils did he sell that day ?
Let x be the number of pencils.
Evaluate \( \dfrac{(16)\div[(13)+(3)]}{(60)\div (60)} \).
An elevator descends into a mine shaft at the rate of 8m/min. If the descend starts from 12m above the ground level. How long will it take to reach – 468 m ?
Total distance from A to C = 12 + 468 = 480 m
Speed = 8m /min
Time = = 60 minutes
What is the representation of 30 km towards the west ?
West is represented by a negative integer.
What is the identity element with respect to subtraction in integers ?
A man walked 3 km towards north then 8 km towards south. What is his final position with respect to his initial position ?
If a negative sign precedes a bracket, what happens to the terms inside it ?
The temperature at 12 noon was \(10^{\circ} C \) above zero. If it decreases at the rate of \(2^{\circ} C \) per hour until midnight. What would be the temperature at 9 pm ?
Temperature decreases
Temperature at 9 pm
What should be multiplied by (12) in order to get 180 ?
Let the unknown number be x
A bird is flying at the height of 750 m above the lake surface. At a particular point it is exactly above a fish swimming 120 m below the lake surface. What is the vertical distance between the bird and fish ?
Distance between bird and fish