Mathematics Class VII

Question 1 of 35

1. Question
1 point(s)
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.
- 0
- 5
- -7
- -5
Correct

Incorrect

Hint

Ascending order: -7, -5, 0, 5, 10
Descending order: 10, 5, 0, -5, -7
Question 2 of 35

2. Question
1 point(s)
Which of the following statements is not true?
- when two positive integers are added, we always get a positive integer
- when two negative integers are added, we always get a negative integer
- when a positive integer and a negative integer is added we always get a negative integer
- Additive inverse of an integer 2 is $-2$ and the additive inverse of $(-2)$ is 2.
Correct

Incorrect
Question 3 of 35

3. Question
1 point(s)
On the number line, the value of $(-3 )\times 3$ lies on right hand of
- -10
- -4
- 0
- 9
Correct

Incorrect

Hint

$-3 \times 3 = - 9$ which is to the right of -10
Question 4 of 35

4. Question
1 point(s)
The value of $5 \div (-1 )$ does not lie between
- 0 and -10
- 0 and 10
- -4 and -5
- -6 and 6
Correct

Incorrect

Hint

$5 \div -1 = -5$ which does not lie between 0 and 10
Question 5 of 35

5. Question
1 point(s)
$ (-10 ) \times (-5) + (-7)$ is equal to
- -57
- 57
- -43
- 43
Correct

Incorrect

Hint

$-10 \times -5 + (-7) = 50 - 7 = 43$
Question 6 of 35

6. Question
1 point(s)
For a non zero integer a which of the following is not defined ?
- $a \div 0 $
- $0 \div a $
- $a \div 1 $
- $1 \div a $
Correct

Incorrect

Hint

$a \div 0$ = not defined
Question 7 of 35

7. Question
1 point(s)
Which of the following is different from others ?
- $20 + (-25) $
- $(-37) – (-32) $
- $(-5) – (-1) $
- $45 \div (-25) $
Correct

Incorrect

Hint

$20 + (-25) = -5 -37 - (-32) = -5 -5 \times -1 = 5 45 \div -9 = -5$
Question 8 of 35

8. Question
1 point(s)
$[(-8) \times (-3)] \times (-4)$ is not equal to
- $[(-8) \times (-3)] \times (-4)$
- $[(-8) \times (-4)] \times (-3)$
- $[(-3) \times (-8)] \times (-4)$
- $(-8) \times (-3)- (-8)\times (-4 ) $
Correct

Incorrect
Question 9 of 35

9. Question
1 point(s)
The sum of two integers is -112 . If one of them is -109 the other is
- -121
- -3
- 3
- none of these
Correct

Incorrect

Hint

-112 – (-109) = -112 + 109 = -3
Question 10 of 35

10. Question
1 point(s)
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 ?
- 70
- 20
- 60
- -20
Correct

Incorrect

Hint

Difference of level $= 45 - (-25) = 45 + 25 = 70\ metre$
Question 11 of 35

11. Question
1 point(s)
The value of $[(-4) \times (-9)\times (-25)]\div [(-2) \times (-3)\times (-5)]$ is
- 10
- 20
- 30
- 40
Correct

Incorrect

Hint

$[(-4) \times (-9)\times (-25)]\div [(-2) \times (-3)\times (-5) ]= (-900) \div (-30)= 30$
Question 12 of 35

12. Question
1 point(s)
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 ?
- 410
- 491
- 400
- 90
Correct

Incorrect

Hint

$500 - 9 \times 10 = 500 - 90 = 410 \ litres$
Question 13 of 35

13. Question
1 point(s)
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 Rs 1
- loss of Rs 1
- -2
- neither profit or loss
Correct

Incorrect

Hint

Profit on selling 8 items of x = Rs $2 \times 8$ = Rs 16
Loss on selling 5 items y = Rs $3 \times 5$ = Rs 15
Question 14 of 35

14. Question
1 point(s)
The temperature in Lucknow was $19^{\circ}C$in morning which dropped to $9^{\circ}C$ in the evening. Find the temperature difference.
- $ -11^{\circ}C $
- $ -16^{\circ}C $
- $ -10^{\circ}C $
- $ -8^{\circ}C $
Correct

Incorrect

Hint

Temperature difference $= 9^{\circ} C - 19^{\circ} C = -11^{\circ} C$
Question 15 of 35

15. Question
1 point(s)
Simplify $ (\dfrac{5621}{-77}) – (-20) \times (-3) \times (-4) – (\dfrac{3038}{-49}) + 12 \times(-16) \times 11 $
- -1883
- 1883
- 0
- 1824
Correct

Incorrect

Hint

$\dfrac{5621}{-77} - (-240) - \dfrac{3038}{-49} - 2112 = -73 + 240 + 62 - 2112 = 302 - 2185 = -1883$
Question 16 of 35

16. Question
1 point(s)
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.
- 2292353
- -6244262
- 2292254
- 3952008
Correct

Incorrect

Hint

Profit on selling 2358 tickets of business class $= 1676 \times 2358 = 3952008$
Loss on selling 36094 tickets $= Rs\ 173 \times 36094 = Rs\ 6244262$
Loss = Rs 2292254
Question 17 of 35

17. Question
1 point(s)
Product of two negative integers is always
- negative
- positive
- either positive or negative
- 0
Correct

Incorrect

Hint

positive
Question 18 of 35

18. Question
1 point(s)
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
- p is false and q is true
- p and q are false
- p and q are true
- p is true and q is false
Correct

Incorrect
Question 19 of 35

19. Question
1 point(s)
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?
- 410 litres
- 90 litres
- 491 litres
- 428 litres
Correct

Incorrect

Hint

Quantity of water 8 hours $= 500 - 9 \times 8 = 500 - 72 = 428 \ litres$
Question 20 of 35

20. Question
1 point(s)
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
- only 3 is correct
- only 1 and 2 are correct
- only 2 and 3 are correct
- all of the above
Correct

Incorrect

Hint

As x is a positive rational number so it will be always greater than y.
Question 21 of 35

21. Question
1 point(s)
What will be the sign of the product if we together multiply 200 negative integers and 12 positive integers ?
- negative
- data is insufficient
- positive
- can’t say
Correct

Incorrect

Hint

If we multiply 200 negative integers the sign will be positive.
Question 22 of 35

22. Question
1 point(s)
Simplify $ ( -5 ) – (-48 )\div (-16 ) + (-2) \times 6 $ .
- 20
- -20
- -15
- 15
Correct

Incorrect

Hint

$-5 - 3 + (-12) = -5 -3 -12 = -20$
Question 23 of 35

23. Question
1 point(s)
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 ?
- 5
- 10
- 7
- 20
Correct

Incorrect

Hint

Let x be the number of incorrect answers $= 5 \times 10 + (-2) \times x = 30 \implies 50 - 2x = 30 \implies -2x = -20 \implies x = 10$
Question 24 of 35

24. Question
1 point(s)
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?
- 35
- 45
- 40
- 37
Correct

Incorrect

Hint

Let the pass mark be x .
Anil got x + 15
Arun got x – 20
$x+ 15 -( x - 20) = x + 15 - x + 20 = 35$
Question 25 of 35

25. Question
1 point(s)
If (-11) is subtracted from the sum of 10 and a certain number and the result is (-8). Find the number.
- 24
- 29
- -29
- -25
Correct

Incorrect

Hint

Let the number be x. $x + 10 - (-11) = -8 \implies x + 10 + 11 = -8 \implies x + 21 = -8 \implies x = -8 -21 = -29$
Question 26 of 35

26. Question
1 point(s)
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 ?
- 40
- 35
- 30
- 45
Correct

Incorrect

Hint

Let x be the number of pencils. $25 \times 1 + -0.5 \times x = 5 \implies 25 - 0.5x = 5 \implies -0.5x = -20 \implies x = \dfrac{200}{5} = 40$
Question 27 of 35

27. Question
1 point(s)
Evaluate $ \dfrac{(-16)\div[(-13)+(-3)]}{(-60)\div (-60)} $.
- 2
- -1
- 1
- -2
Correct

Incorrect
Question 28 of 35

28. Question
1 point(s)
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 ?
- 60 min
- 30 min
- 50 min
- 10 min
Correct

Incorrect

Hint

Total distance from A to C = 12 + 468 = 480 m
Speed = 8m /min
Time = $\dfrac{480}{8}$ = 60 minutes
Question 29 of 35

29. Question
1 point(s)
What is the representation of 30 km towards the west ?
- 30 km east
- (-30) km
- 30 km
- 30
Correct

Incorrect

Hint

West is represented by a negative integer.
Question 30 of 35

30. Question
1 point(s)
What is the identity element with respect to subtraction in integers ?
- 0
- 1
- -1
- does not exist
Correct

Incorrect
Question 31 of 35

31. Question
1 point(s)
A man walked 3 km towards north then 8 km towards south. What is his final position with respect to his initial position ?
- 5 km towards east
- 3 km towards south
- 8 km towards north
- 5 km towards south
Correct

Incorrect
Question 32 of 35

32. Question
1 point(s)
If a negative sign precedes a bracket, what happens to the terms inside it ?
- their signs are changed
- the terms are reciprocated
- the signs remain the same
- the terms are doubled
Correct

Incorrect
Question 33 of 35

33. Question
1 point(s)
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 ?
- $ -8^{\circ}C $
- $ -6^{\circ}C $
- $ 8^{\circ}C $
- $ 6^{\circ}C $
Correct

Incorrect

Hint

Temperature decreases $= 9 \times (-2^{\circ}C) = -18^{\circ}C$
Temperature at 9 pm $= 10^{\circ}C + (-18^{\circ}C = -8^{\circ}C$
Question 34 of 35

34. Question
1 point(s)
What should be multiplied by (-12) in order to get 180 ?
- 15
- -15
- 16
- -16
Correct

Incorrect

Hint

Let the unknown number be x $= x \times (-12) = 180 \implies x = \dfrac{180}{-12} = -15$
Question 35 of 35

35. Question
1 point(s)
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 ?
- 870 m
- 630 m
- 350 m
- 150 m
Correct

Incorrect

Hint

Distance between bird and fish $= |750 m| + |-120 m| = 750 + 120 = 870 \m$

Mathematics Class VII

Olympiad Questions-Integers-Class VII

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