Integers Test

Result

Integers Test - 4

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Weekly Quiz Competition

Question 1

1 / -0

Read the following statements and find M, N, O and P with the help of table given below.

(i) The sum of two integers is 94. If one of the numbers is 60, then the other integer is M .
(ii) The sum of a negative integer and a N integer is always a negative number.
(iii) When an even number gets multiplied by another even number, the result is always O .
(iv) The multiplicative inverse of 9 is P .

	M	N	O	P
A	34	negative	even	1/9
B	34	positive	odd	9
C	-34	positive	even/odd	-9
D	34	negative	even/odd	1/9

A

B

C

D

Solution

(i) Since, the sum of two integers is 94 and one of the numbers is 60, then the other integer, M = 94 - 60 = 34

(ii) Let the integer be -5.
According to question,
-5 + N = -10
N = -10 + 5
N = -5
So, N should always be a negative number.

(iii) When an even number gets multiplied by another even number, the result will always an even number.

(iv) P is the multiplicative inverse of 9.
By the property of multiplicative inverse,
P x 9 = 1 gives P = 1/9

Question 2
1 / -0

Which of the following statements is false?

A
Multiplying and dividing two integers with the same signs, the answer is always positive.

B
Multiplying and dividing two integers with different sign, the answer is always negative.

C
The sum of any integer and its opposite is equal to one.

D
An integer is a whole number that can be positive, negative or zero.

Solution

The sum of any integer and its opposite is equal to zero.
Question 3
1 / -0

The value of (-6) x (-8) x (-2) x (0) x (1) + (5) x (2) x (3) x (6) is

A
120

B
180

C
-150

D
0

Solution

We have, (-6) x (-8) x (-2) x (0) x (1) + (5) x (2) x (3) x (6)
= 0 + 180
= 180
Question 4
1 / -0

Which of the following statements is/are correct?

Statement 1: Changing the order of the factors does not change the product.
Statement 2: Adding a zero to any number does not change the value of the number.

A
Only statement 1

B
Only statement 2

C
Both statements 1 and 2

D
Neither statement 1 nor 2

Solution

(1) Changing the order of the factors does not change the product. For example: (-3) x 8 = 8 x (-3)

(2) Adding a zero to any number does not change the value of the number. For example: -7 + 0 = -7
Question 5
1 / -0

Find the value of the expression [(-8) x (-6) x (-15)] + [(-20) x (-7) x (-1)].

A
980

B
860

C
-860

D
-760

Solution

[(-8) x (-6) x (-15)] + [(-20) x (-7) x (-1)]
= [48 x (-15)] + [140 x (-1)]
= -720 + (-140)
= -720 - 140
= -860