Integers Test

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Integers Test - 8

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following is not true?

(a) A prime number is a natural number that can only be divided by one and itself.
(b) A prime number has exactly two factors.
(c) 7 is a prime number.
(d) 1 is a prime number.

A
(a)

B
(b)

C
(c)

D
(d)

Solution

1 is not prime number, since it has only one divisor or factor, namely 1.
Question 2
1 / -0

The value of x in -15 × (-12 + (-6) + 23) = -15 × (-4 × 3 + (-x) + 19 - (-4)) is

A
6

B
7

C
8

D
9

Solution

-15 × (-12 + (-6) + 23) = -15 × (-4 × 3 + (-x) + 19 - (-4))

-15 × (-12 - 6 + 23) = -15 × (-12 + (-x) + 19 + 4)

-15 × (5) = -15 × (-12 + (-x) + 19 + 4)

-15 × (5) = -15(11 - x)

-75 = -165 + 15x

15x = 90

x = 6
Question 3
1 / -0

What will be the sign of the product obtained when we multiply 102 positive integers, 3 negative integers and 50 positive integers?

A
Negative

B
Positive

C
Cannot be determined

D
Data insufficient

Solution

Product of odd number of negative integers is always negative, and product of even number of negative integers is always positive.

So, 102 positive integers × 3 negative integers × 50 positive integers = Negative

(Positive × Negative × Positive = Negative)
Question 4
1 / -0

Which of the following groups of integers has a sum equal to -72?

A
{-2, -20, -50}

B
{-2, 20, 54}

C
{4, 40, -28}

D
{2, 20, 50}

Solution

The required group is: {-2, -20, -50}

Adding them all, we get: (-2) + (-20) + (-50) = -2 - 20 - 50 = -22 - 50 = -72
Question 5
1 / -0

Which of the following options shows numbers in descending order?

A
26, 13, -26, -15, -5

B
26, 13, -5, -15, -26

C
-26, -15, -5, 13, 26

D
-5, 13, -15, -26, 26

Solution

26 > 13 > -5 > -15 > -26

As we move towards the left on the number line, the value of the numbers decreases.
Question 6
1 / -0

Find the value of the given expression:

(-25) - 45 + 50 - (-65) - 20 - (-120) - 40

A
145

B
50

C
105

D
-95

Solution

(-25) - 45 + 50 - (-65) - 20 - (-120) - 40

= -25 - 45 + 50 + 65 - 20 + 120 - 40

= -130 + 235

= 105
Question 7
1 / -0

The absolute value of 58 - 25 + 80 - 95 is

A
66

B
18

C
-53

D
-34

Solution

58 - 25 + 80 - 95

= 138 - 120 = 18
Question 8
1 / -0

If x is a positive integer and y is a negative integer, then which of the following is correct?

A
x + y = y + x

B
y - 0 = 0 - y = y

C
x = -y = 0

D
x + y = y - x

Solution

x = positive
y = negative

Now, we are given:
x + y = y + x

Putting the values:

x - y = -y + x, which is correct.

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Integers Test - 8

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Integers Test - 8

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Question 1

(a)

(b)

(c)

(d)

Solution

Question 2

6

7

8

9

Solution

Question 3

Negative

Positive

Cannot be determined

Data insufficient

Solution

Question 4

{-2, -20, -50}

{-2, 20, 54}

{4, 40, -28}

{2, 20, 50}

Solution

Question 5

26, 13, -26, -15, -5

26, 13, -5, -15, -26

-26, -15, -5, 13, 26

-5, 13, -15, -26, 26

Solution

Question 6

145

50

105

-95

Solution

Question 7

66

18

-53

-34

Solution

Question 8

x + y = y + x

y - 0 = 0 - y = y

x = -y = 0

x + y = y - x

Solution

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