# Product of Two Consecutive Even or Odd Natural Numbers

## Trending Questions

**Q.**

Express 49 as a sum of seven odd numbers.

**Q.**Evaluate: (i) 88×92, (ii) 78×82.

**Q.**

Evaluate: (i)69×71, (ii) 94×106.

**Q.**

The sum of first 5 consecutive odd numbers is:

16

36

18

25

**Q.**

The sum of two consecutive triangular numbers gives a

**Q.**Which of the following numbers can be written in the form 2n, where n is a natural number?

- 8
- 256
- 120
- 24
- 84
- 32
- 40
- 20
- 512
- 64

**Q.**Express each of the following odd numbers as the sum of three odd prime numbers:

(i) 31

(ii) 35

(iii) 49

(iv) 63

**Q.**

Question 6(ii)

Simplify:

(ii) 72×22

**Q.**Find the value of 492

**Q.**

**Question 3(iv)**

Find the products:

x×x2×x3×x4

**Q.**If a number is not a perfect number, then it has to be a sum of succesive odd numbers starting from 1.

- True
- False

**Q.**Evaluate: 176×176−124×124

15400

15600

16500

12280

**Q.**

In a number pattern 66, 127, 218, t , the value of t will be

A.472

B.514

C.555

D.670

**Q.**

**Question 170**

Long back in ancient times, a farmer saved the life of a king's daughter. The king decided to reward the farmer with whatever he wished. The farmer, who was a chess champion, made an unusal request

"I would like you to place 1 rupee on the first square of my chessboard . 2 rupees on the second square, 4 on the third square, 8 on the fourth square and so on, until you have covered all 64 squares. Each square should have twice as many rupees as the previous square ' The king thought this to be too less and asked the farmer to think of some better reward, but the farmer didn't agree.

How much money has the farmer earned?

**[Hint **The following table may help you. What is the first square on which the king will place at least 10 lakh?]

**Q.**How many numbers lie between the squares of the numbers 99 and 100?

[2 marks]

- 200
- 199
- 201
- 198

**Q.**

find the following product 43x45?

1935

1835

2115

2025

**Q.**(n−1)(n+1)=n2−1 pattern is useful for which of the following?

- Only for even numbers
- Only for odd numbers
- Both even and odd numbers
- Neither even nor odd numbers

**Q.**What is the value of (166)2?

**Q.**

What is the sum of any two even number?

**Q.**If the product of four consecutive natural numbers increased by a natural number ρ is a perfect square, then the value of ρ is:

- 4
- 2
- 8
- 1

**Q.**Respected Teacher,

i have searched for a good answer for ex.2.4 question 7, 8, and 10 which a re pretty hard i could not find it i got the answers but it was not still clear for me.thank you.

**Q.**

1 + 3 + 5 + 7 =

3

^{2}7

^{2}5

^{2}4

^{2}

**Q.**

Which of the following functions are identical to f(x)?

f(x)={x, 1≤x<2x2, 2≤x<3

(1 ≤ x < 3 )

**Q.**Find the value of x:

x - 10 = 7

**Q.**

5^{2} =

1 + 3 + 5 + 7 + 9 + 11

1 + 3 + 5 + 7

1 + 3 + 5

1 + 3 + 5 + 7 + 9

**Q.**If the product of four consecutive natural numbers increased by a natural number p is a perfect square, then the value of p is

- 1
- 8
- 4
- 2

**Q.**

find the following product 43x45?

1835

1935

2115

2025

**Q.**112−1 is a product of two consecutive even numbers. Find those two even numbers.

- 12 and 22
- 12 and 13
- 10 and 12
- 12 and 14

**Q.**What is square number?

**Q.**Which of the following numbers can be written in the form 2n, where n is a natural number?

- 32
- 84
- 20
- 256
- 24
- 64
- 40
- 8
- 120
- 512