Question

If 5 integers are multiplied and the product is negative which of the following statements could not be
true about integers
A. 3 are negative, 2 are positive
B. 2 are negative, 3 are positive
C. 4 are positive, 1 is negative
D. 5 are negative
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SUBMIT​

Answer 1

Answer:

1. When the integers 10, 0, 5, – 5, – 7 are arranged in descending or ascending order, them find out which of the following integers always remains in the middle of the arrangement.

(a) 0 (b) 5 (c) – 7 (d) – 5

Solution:

(a) 0

When the given integers are arranged in descending order we have: 10, 5, 0, -5, -7

When the given integers are arranged in ascending order we have: -7, -5, 0, 5, 10

It’s seen that in both the orders 0 always remains in the middle of the arrangement.

2. By observing the number line (Fig. 1.2), state which of the following statements is not true.

NCERT Exemplars Class 7 Maths Solutions Chapter 1 Image 1

(a) B is greater than –10 (b) A is greater than 0

(c) B is greater than A (d) B is smaller than 0

Solution:

(c) B is greater than A.

Since, B lies to the left of zero and A lies to the right of zero on the number line clearly, A has to be greater than B.

3. By observing the above number line (Fig. 1.2), state which of the following statements is true.

(a) B is 2 (b) A is – 4 (c) B is –13 (d) B is – 4

Solution:

(d) B is -4

Each division on the number line 1 unit apart. Then, B is 4 units from the left of zero.

4. Next three consecutive numbers in the pattern 11, 8, 5, 2, –, –, — are

(a) 0, – 3, – 6 (b) – 1, – 5, – 8 (c) – 2, – 5, – 8 (d) – 1, – 4, – 7

Solution:

(d) -1, -4, -7

In the given sequence of numbers, each number differs by 3 from the previous number.

5. The next number in the pattern – 62, – 37, – 12 _________ is

(a) 25 (b) 13 (c) 0 (d) –13

Solution:

(a) 13

It’s found that the pattern is -62 + 25 = -37, -37 + 25 = -12

So, similarly -12 + 25 = 13

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Answer 2

Answer:

Option A is the correct answer.

Step-by-step explanation:

Given 5 integers are multiplied and the product is negative.

By taking some examples we can solve this problems.

Case-A:

Let 3 integers are negative and 2 are positive.

let they are -1,-2,-3,4 and 5

Now product of them $= ( - 1) \times ( - 2) \times ( - 3) \times 4 \times 5 = - 120$

So this option is correct.

Case-B:

Let 2 integers are positive and 3 are negative.

let they are 1,2,-3,-4,-5

Now product of them$= (- 1) \times ( - 2) \times 3 \times 4 \times 5 = 120$

It is not correct (by given condition )

By this same method we can see that Option C and D is not correct.