CBSE Class 10 Question Bank mathematics Euclid’s Division Lemma

CBSE Class 10 Question Bank mathematics Euclid’s Division Lemma 
Questions on Euclid’s Division Lemma
 Objective Questions:
1.Euclid’s division lemma, states that for any two positive integers ‘a’ and ‘b’ we can find two whole numbers ‘q’ and ‘r’ such that a = b × q + r
what are permissible values of r?
a.0  or more  but less than b
b. 0  or more  but less than a
c  b  or more  but less than a
d. Between 0 and  infinity

 2.Euclid’s division lemma can be used to find the .............. of any two positive integers

a. HCF
b. Multiples
c  Both
d. None
 3.Euclid’s division lemma  is  not applicable for which value of b ?
a. Positive integer
b. Zero
c  Negative integer
d. All of these
4.Any  positive integer can be expressed as ?
a. 6q +1
b. 6q +3
c  6q+5
d. All of these

5.Product of 3 consecutive positive integers is always divisible by ?
a. 4
b. 5
c  6
d. 7

6.Using Euclid’s division lemma HCF of  455 and 42 can be  expressed as 

a. 455 = 42*9+77
b. 455 = 42*10+35
c  455 = 42*11 -7
d. 455 = 42*12 -49
7.Any positive integer is of the form............for  some integer q.
a. 3q
b.3q + 1
c  3q + 2
d. all of these

8.One out of any four consecutive integers is  always divisible by 5.

a. FALSE
b.TRUE
c  None of these
d. all of these

9. For any value of n,last digit of 6 ⁿ always ends with

a. 4
b  8
c  either 4 or 8
d.None of these
10. 4q+1 or 4q+3 , a positive integer is always
a. ODD
b  EVEN
c  None of these
d. all of these


Hot And Tough Questions:
 1.Prove that the product of two consecutive positive integers is always divisible by 2

2.Show that n ²- 1 is divisible by 8, if n is an odd positive integer.
 3.Show that one and only one out of n,n+2,n+4 is divisible by 3, where n is any positive integer.

4.prove that  for any value of n,12ⁿ cant have 5 as last digit

5. Use Euclid’s division lemma to show that the cube of any positive integer is of the form 9m, 9m + 1 or 9m + 8.
6.Prove that the product of three consecutive positive integers is divisible by 6.
7.Prove that one of every three consecutive integers is divisible by 3.
8.Use Euclid’s division lemma to show that the square of any positive integer is either of the form 3m or 3m +1 for some integer m.
9.Prove that  sum of any three consecutive integers is divisible by 3.
Answer
1:a
2.a
3.b
4.d
5. c
6. b
7 d
8. a
9. d
10. a

CBSE Class 7 Science Practice Test

CBSE Class 7 Science Practice Test
CBSE Class 7 Science Test Paper
CBSE Class-VII Science Preparation Test
Water

Directions : Questions 1 to 6 carry 1 mark Each

1. World  Water day  is celebrated on ...............
2.The amount of water recommended by the United Nations for drinking,washing, cooking and maintaining properhygiene is a minimum of .........litres per person per day.
3.about...% ofthe earth’s surface is covered with water.
4. water on the earth has been maintained for millions of years by various processes which make the ........
5. The process of seeping of water into the ground is called ...........
6.The rainwater can be used to recharge the groundwater. This is referred to as ...........
Explain in brief (Each Question Carry 5 Marks)
7.Explain Recharging of ground water
8. What are the factors responsible for depletion of  ground water.
Each Question (9-10) carry 2 marks.
9.What are 2 traditional ways of water harvesting
10. 2 factors  responsible for water shortage.


Answers :











1.22 March
2.50
3.71
4. Water cycle
5. infiltration
6.water harvesting or rain water harvesting

for other question please refer book

Active and passive test for CBSE Class 7 ,Model english paper

Active and passive test for CBSE Class 7  ,Model english paper
English grammar active passive for CBSE  Clas 7
Free online english test
Directions : Change the following sentences into passive voice
1.I have done this work .
2. Close the tap .
3. I am reading this book .
4. Someone ate  my cake .
5.He  eats fruits daily.

Directions : Change the following sentences into active voice 

6. He  had been hit by a car
7. You are requested to sing a song.
8. He  is checked by his doctor daily.
9. He is being followed.
10. She had been  chosen the best girl.

Answers




1.This work has been done by me .
2.Let the tap be closed.
3.This book is being read by me.
4.My cake was eaten by someone
5.Fruits are eaten by him daily.
6.A car had hit him.
7.Please sing a song.
8.His doctor checks him daily.
9. Someone is following him.
10.The jury had chosen her the best girl.