Grade 7 : Mathematics (Ganita Prakash) - 10. Integers (Set 3) | Concept of Maths

Question 1

A submarine is floating at a depth of 150 m below sea level. It descends a further 75 m. Which integer correctly represents its new position relative to sea level?

Accepted Answer

B) -225

Answer

A) 225

Answer

C) 75

Answer

D) -75

Question 2

A freezing process requires that room temperature be lowered from $40^\circ ext{C}$ at the rate of $5^\circ ext{C}$ every hour. What will be the room temperature 10 hours after the process begins?

Accepted Answer

C) $-10^\circ	ext{C}$

Answer

A) $10^\circ	ext{C}$

Answer

B) $5^\circ	ext{C}$

Answer

D) $-50^\circ	ext{C}$

Question 3

In a class test, +4 marks are given for every correct answer and -2 marks are given for every incorrect answer. Radhika scored 20 marks. If she got 10 correct answers, how many incorrect answers did she attempt?

Accepted Answer

D) 12

Answer

A) 5

Answer

B) 8

Answer

C) 10

Question 4

Which property of integers is expressed by the equation: $a imes (b - c) = a imes b - a imes c$?

Accepted Answer

D) Distributive Property

Answer

A) Commutative Property

Answer

B) Associative Property

Answer

C) Closure Property

Question 5

Evaluate the product: $(-20) imes (-2) imes (-5) imes 4$.

Accepted Answer

A) -800

Answer

B) 800

Answer

C) -400

Answer

D) 400

Question 6

An elevator descends into a mine shaft at 6 m/min. If the descent starts from 10 m above the ground level, how long will it take to reach -350 m?

Accepted Answer

C) 60 mins

Answer

A) 50 mins

Answer

B) 55 mins

Answer

D) 70 mins

Question 7

Which of the following represents the identity element for the multiplication of integers?

Accepted Answer

B) 1

Answer

A) 0

Answer

C) -1

Answer

D) $a$

Question 8

If $a \div (-1) = 45$, then the value of the integer $a$ is:

Accepted Answer

D) -45

Answer

A) 45

Answer

B) 1

Answer

C) 0

Question 9

A shopkeeper earns a profit of ₹8 per pen sold and incurs a loss of ₹5 per pencil sold. In a particular month, he sells 100 pens and some pencils, resulting in a net profit of ₹300. How many pencils did he sell?

Accepted Answer

A) 100

Answer

B) 80

Answer

C) 150

Answer

D) 50

Question 10

The sum of two integers is -16. If one of them is 20, find the other integer.

Accepted Answer

C) -36

Answer

A) 4

Answer

B) -4

Answer

D) 36