CBSE Class 10 Mathematics Number Systems Assignment Set B

Read and download free pdf of CBSE Class 10 Mathematics Number Systems Assignment Set B. Get printable school Assignments for Class 10 Mathematics. Class 10 students should practise questions and answers given here for Number System Mathematics in Class 10 which will help them to strengthen their understanding of all important topics. Students should also download free pdf of Printable Worksheets for Class 10 Mathematics prepared as per the latest books and syllabus issued by NCERT, CBSE, KVS and do problems daily to score better marks in tests and examinations

Assignment for Class 10 Mathematics Number System

Class 10 Mathematics students should refer to the following printable assignment in Pdf for Number System in Class 10. This test paper with questions and answers for Class 10 Mathematics will be very useful for exams and help you to score good marks

Number System Class 10 Mathematics Assignment

Number System MCQ Questions with Answers Class 10 

Question- π is
(1) Rational
(2) Irrational
(3) Imaginary
(4) An integer
Ans-2
 
Question- An irrational number is
(1) A terminating and nonrepeating decimal
(2) A nonterminating and nonrepeating decimal
(3) A terminating and repeating decimal
(4) A nonterminating and repeating decimal
Ans-2
 
Question- Which of the following statement is true ?
(1) Every point on the number line represents a rational number
(2) Irrational numbers cannot be represented by points on the number line
(3) 22/7 is a rational number
(4) None of these
Ans- 2
 
Question- The sum of rational and irrational number is always
(1) Rational
(2) Irrational
(3) Both
(4) Can't say
Ans- 2
 
Question- The product of rational and irrational number is always
(1) Rational
(2) Irrational
(3) Both
(4) Can't say
Ans-2 
 
Question- 961/625 is a
(1) Terminating decimal
(2) Nonterminating decimal
(3) Cannot be determined
(4) None of these
Ans- 1
 
Question- Which of the following has most number of divisors ?
(1) 99
(2) 101
(3) 176
(4) 182
Ans-3 
 
Question-A number n is said to be perfect if the sum of all its divisors (excluding n itself) is equal to n. An example of perfect number is
(1) 6
(2) 9
(3) 15
(4) 21
Ans-1 
 
Question-The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is
(1) 3
(2) 13
(3) 23
(4) 33
Ans-3 
 
Question-The least number which is a perfect square and is divisible by each of the numbers 16, 20 and 24, is
(1) 1600
(2) 3600
(3) 6400
(4) 14400
Ans-2 
 
Question-The smallest number which when diminished by 7,is divisible by 12, 16, 18, 21 and 28 is
(1) 1008
(2) 1015
(3) 1022
(4) 1032
Ans-2 
 
Question-The least number which when increased by 5 is divisible by each one of 24, 32, 36 and 54, is
(1) 427
(2) 859
(3) 869
(4) 4320
Ans-2 
 
Question-The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8, is
(1) 504
(2) 536
(3) 544
(4) 548
Ans-4 
 
Question-The largest four-digit number which when divided by 4, 7 or 13 leaves a remainder of 3 in each case, is
(1) 8739
(2) 9831
(3) 9834
(4) 9893
Ans-2 
 
Question-The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is
(1) 74
(2) 94
(3) 184
(4) 364
Ans-4 
 
Question-The least number, which when divided by 48, 60,72, 108 and 140 leaves 38, 50, 62, 98 and 130 as remainders respectively, is
(1) 11115
(2) 15110
(3) 15120
(4) 15210
Ans-2 
 
Question-Find the least multiple of 23, which when divided by 18, 21 and 24 leaves remainders 7, 10 and 13 respectively.
(1) 3002
(2) 3013
(3) 3024
(4) 3036
Ans- 2
 
Question- The least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is
(1) 1677
(2) 1683
(3) 2523
(4) 3363
Ans-2 
 
Question- The product of two numbers is 960. If H.C.F. is 8, then the numbers are
(1) 24,40
(2) 8, 120 or 24, 40
(3) 8, 140
(4) none of these
Ans-2 
 
Question- The least number divisible by 12, 15, 20, and is perfect square is
(1) 900
(2) 400
(3) 36
(4) 256
Ans- 1
 
Question- The largest number which divides 133 and 245 leaving a remainder 5 is
(1) 17
(2) 15
(3) 8
(4) 16
Ans-4 
 
Question- The H.C.F,. of two numbers is 1/5 of their L.C.M. If the product of two number is 720, then the H.C.F. of the numbers is
(1) 13
(2) 12
(3) 14
(4) 18
Ans-2 
 
Question- The L.C.M. of two numbers is 39780 and their ratio is 13 : 15 then the numbers are
(1) 273,315
(2) 2652,3060
(3) 516, 685
(4) none
Ans-2 
 
Question- The L.C.M. of two numbers is 14 times of their H.C.F. The sum of L.C.M. and H.C.F. is 600. If one of the number is 80, then other is
(1) 280
(2) 218
(3) 25
(4) 45
Ans-1
 
Question- A heap is to be formed with lots of 8, 10 and 15 pebbles of different colours. The smallest number of pebbles in the heap is
(1) 121
(2) 120
(3) 110
(4) 8
Ans-2
 
Question- Three measuring tapes are 64 cm, 72 cm, 96 cm, the shortest length that can measured by any one of the tapes exactly is
(1) 576
(2) 120
(3) 8
(4) 10.
Ans-1


More question-


1. If the H C F of 657 and 963 is expressible in the form of 657x + 963x - 15 find x.

(Ans:x=22)

Ans:       Using Euclid’s Division Lemma

                      a= bq+r , o ≤ r < b

                     963=657×1+306

                     657=306×2+45

                    306=45×6+36

                   45=36×1+9

                   36=9×4+0

            HCF (657, 963) = 9

         now 9 = 657x + 963× (-15)

              657x=9+963×15

                 =9+14445

              657x=14454

           x=14454/657

              x=22


2. Express the GCD of 48 and 18 as a linear combination. (Ans: Not unique)

                        A=bq+r, where o ≤ r < b

                        48=18x2+12                     

                       18=12x1+6

                        12=6x2+0

                     HCF (18,48) = 6

                     now 6= 18-12x1

                    6= 18-(48-18x2)

                    6= 18-48x1+18x2

                   6= 18x3-48x1                  

                   6= 18x3+48x(-1)

                   i.e. 6= 18x +48y 

 6= 18×3 +48×(-1)
 
=18×3 +48×(-1) + 18×48-18×48

=18(3+48)+48(-1-18)

=18×51+48×(-19)

6=18x+48y

Hence, x and y are not unique.
 
3. Prove that one of every three consecutive integers is divisible by 3.

Ans:
n,n+1,n+2 be three consecutive positive integers

We know that n is of the form 3q, 3q +1, 3q + 2

So we have the following cases

Case – I when n = 3q

In the this case, n is divisible by 3 but n + 1 and n + 2 are not divisible by 3

Case - II When n = 3q + 1

Sub n = 2 = 3q +1 +2 = 3(q +1) is divisible by 3. but n and n+1 are not

divisible by 3
 
Case – III When n = 3q +2

Sub n = 2 = 3q +1 +2 = 3(q +1) is divisible by 3. but n and n+1 are not  divisible by 3

Hence one of n, n + 1 and n + 2 is divisible by 3

4. Find the largest possible positive integer that will divide 398, 436, and 542 leaving remainder 7, 11, 15 respectively.
(Ans: 17)

Ans: The required number is the HCF of the numbers

Find the HCF of 391, 425 and 527 by Euclid’s algorithm

 HCF (425, 391) = 17

Now we have to find the HCF of 17 and 527

527 = 17 X 31 +0
 
 
 
Please click the link below to download CBSE Class 10 Mathematics Number Systems Assignment Set B

More Study Material

CBSE Class 10 Mathematics Number System Assignment

We hope you liked the above assignment for Number System which has been designed as per the latest syllabus for Class 10 Mathematics released by CBSE. Students of Class 10 should download and practice the above Assignments for Class 10 Mathematics regularly. We have provided all types of questions like MCQs, short answer questions, objective questions and long answer questions in the Class 10 Mathematics practice sheet in Pdf. All questions have been designed for Mathematics by looking into the pattern of problems asked in previous year examinations. 

Assignment for Mathematics CBSE Class 10 Number System

Our team of expert teachers have referred to NCERT book for Class 10 Mathematics to design the Mathematics Class 10 Assignments. If you practice at least one test paper daily, you will get higher marks in Class 10 exams this year. Daily practice of Mathematics course notes and related study material will help you to clear all your doubts and have stronger understanding of all concepts. You can download all Revision notes for Class 10 Mathematics also from www.studiestoday.com absolutely free of cost.

Number System Assignment Mathematics CBSE Class 10

All questions and their answers for the assignment given above for Class 10 Mathematics have been developed as per the latest curriculum and books issued for the current academic year. The students of Class 10 can rest assured that the best teachers have designed the questions of Mathematics so that you are able to revise the entire syllabus if you do the assignments. Lot of MCQ questions for Class 10 Mathematics have also been given in the worksheets and assignments for regular use. All study material for Class 10 Mathematics students have been given on studiestoday.

Number System Assignment CBSE Class 10 Mathematics

Regular assignment practice helps to get a more comprehensive understanding of Number System concepts. Assignments play a crucial role in understanding Number System in CBSE Class 10. Students can download all the assignments of the same chapter in Class 10 Mathematics in Pdf format. You can print them or read them online on your computer or mobile.

CBSE Mathematics Class 10 Number System Assignment

CBSE Class 10 Mathematics latest books have been used for coming up with the latest questions and solutions for the above assignment. If you have revised all concepts relating to Number System then you should attempt all questions given in the test sheets above. We have also provided lot of Worksheets for Class 10 Mathematics which you can use to further make your self stronger in Mathematics

Where can I download in PDF assignments for CBSE Class 10 Mathematics Number System

You can download free Pdf assignments for CBSE Class 10 Mathematics Number System from StudiesToday.com

The assignments for Number System Class 10 Mathematics for have been made based on which syllabus

The Number System Class 10 Mathematics Assignments have been designed based on latest CBSE syllabus for Class 10 Mathematics issued for the current academic year

Can I download and print these printable assignments for Mathematics Number System Class 10

Yes, These printable assignments for Number System Class 10 Mathematics are free to download and print

How many topics are covered in Number System Mathematics assignments for Class 10

All topics given in Number System Mathematics Class 10 Book for the current academic year have been covered in the given assignment

Is there any charge for this assignment for Number System Mathematics Class 10

No, all Printable Assignments for Number System Class 10 Mathematics have been given for free and can be downloaded in Pdf format

How can I download the printable test assignments for Number System Mathematics Class 10

Just click on the View or Download button below, then another window with the Pdf will be visible, just click on the Pdf icon to download the free assignments for Number System Class 10 Mathematics

Are these assignments available for all chapters in Class 10 Mathematics

Yes, apart from Mathematics you can download free assignments for all subjects in Class 10

Can I download solved assignments for Number System CBSE Class 10 Mathematics

Our team of expert teachers at studiestoday.com have provided all answers for the practice questions which have been given in Class 10 Mathematics Number System assignments