Grade 7 : Mathematics (Ganita Prakash) - 10. Integers (Set 4) | Concept of Maths

Question 1

If $x = -15$, $y = 8$, and $z = -12$, calculate the value of $x imes (y - z)$ using the distributive property.

Accepted Answer

C) -300

Answer

A) 60

Answer

B) -60

Answer

D) 300

Question 2

An elevator descends into a mine shaft at the rate of 6 meters per minute. If the descent starts from 20 meters above the ground level, how long will it take to reach -340 meters?

Accepted Answer

B) 60 minutes

Answer

A) 50 minutes

Answer

C) 53 minutes

Answer

D) 70 minutes

Question 3

Consider a custom operation $\Delta$ defined for integers $a$ and $b$ as $a \Delta b = (a + b) - (a imes b)$. What is the value of $(-5) \Delta 4$?

Accepted Answer

A) 19

Answer

B) -1

Answer

C) -21

Answer

D) 11

Question 4

In a competitive exam, +5 marks are given for every correct answer and -3 marks are given for every incorrect answer. If Rohan scored -11 marks and attempted 5 correct answers, how many incorrect answers did he give?

Accepted Answer

D) 12

Answer

A) 8

Answer

B) 10

Answer

C) 7

Question 5

Which of the following satisfies the Associative Property for the multiplication of integers?

Accepted Answer

C) $(a 	imes b) 	imes c = a 	imes (b 	imes c)$

Answer

A) $a 	imes b = b 	imes a$

Answer

B) $a 	imes (b + c) = ab + ac$

Answer

D) $a 	imes 1 = a$

Question 6

Evaluate the expression: $[(-36) \div 12] \div 3$ and compare it with $(-36) \div [12 \div 3]$. Which statement is true?

Accepted Answer

B) The first is -1 and the second is -9.

Answer

A) Both expressions are equal to -1.

Answer

C) The first is -9 and the second is -1.

Answer

D) Both expressions are equal to -9.

Question 7

A cooling machine lowers the room temperature from $32^{\circ}C$ at the rate of $5^{\circ}C$ per hour. What will be the temperature after 8 hours?

Accepted Answer

A) $-8^{\circ}C$

Answer

B) $8^{\circ}C$

Answer

C) $-40^{\circ}C$

Answer

D) $0^{\circ}C$

Question 8

Find the value of $P$ if: $(-20) imes (-5) + (-20) imes (-2) = P imes [(-5) + (-2)]$.

Accepted Answer

D) -20

Answer

A) 20

Answer

B) -7

Answer

C) 140

Question 9

The product of three integers is -60. If two of the integers are -4 and 3, what is the third integer?

Accepted Answer

B) 5

Answer

A) -5

Answer

C) 4

Answer

D) -12

Question 10

Which of the following is NOT closed under the set of Integers?

Accepted Answer

C) Division

Answer

A) Addition

Answer

B) Multiplication

Answer

D) Subtraction