MATHEMATICS ASSIGNMENT
CHAPTER-1 [NUMBER SYSTEM] CLASS X
Maths assignment for class X chapter 1 Number System with answers and hints for the solution. Extra questions of chapter 1 real number system class X
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👉This assignment
provides step by step and complete knowledge to solve different types of
problems. Here is few tips to the students for getting good marks in the
examination.
1) Revise all basic
points related to the topic
2) Learn important
definitions and formulas.
3) Solve the problems
given in the NCERT Text book.
4) Solve examples of
NCERT Text book.
5) Solve this
Assignment.
If students follow all
these steps, then I hope they really got insight knowledge about the
concept and they really perform batter in their examinations.
Always kept in the
mind :- "Proper Preparation Prevents Poor Performance".
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Math Assignment Chapter 1 Class X : Real Number System
Level - 1
Q1- Define Euclid’s division lemma ,
HCF, LCM & fundamental theorem of Arithmetic’s.
Q2) Find the HCF of the following by using EDA .
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S N
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Question
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S N
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Question
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a
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650,
1170 Ans 130
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g
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4052 ,
12576 Ans 4
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b
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963,
657 Ans 9
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h
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136, 170 ,
255 Ans 17
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c
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592 ,
252 Ans 4
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i
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506 ,
1155 Ans 11
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d
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315 ,
198 Ans 9
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j
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1288 ,
575 Ans 23
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e
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180 ,
192 Ans 12
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k
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180, 252 ,
324 Ans 36
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f
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216 , 1176
Ans 24
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l
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184 , 230 , 276
Ans 46
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Q3- Express the following as the
product of primes
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a
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156
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e
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10626
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b
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5005
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f
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364
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c
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7429
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g
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429
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d
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1008
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h
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169785 [ Ans
3²×5×7³×11]
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Q4- Use FTA & Find HCF & LCM
of the following
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a
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510
, 92 Ans HCF = 2, LCM =
23460
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b
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336,
54 Ans HCF = 6, LCM = 3024
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c
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225
, 450 Ans HCF = 225, LCM = 450
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d
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1440
, 1800 Ans HCF = 360, LCM = 7200
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e
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40,
36 , 126 Ans HCF = 2, LCM = 504
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f
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25,
40 , 60 Ans HCF = 5, LCM = 600
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g
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72,
80, 120 Ans HCF = 8, LCM = 720
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h
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84,
90 , 120 Ans HCF = 6, LCM =
2520
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Q5- State whether the following
are terminating or non-terminating, if terminating then convert these
into decimals.
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a
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 Ans Terminating 0.45
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b
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 Ans non-terminating but repeating decimal
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c
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 Ans Terminating
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d
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 Ans
Terminating
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e
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 Ans
Terminating
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f
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 Ans Terminating 40.6
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S N
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Questions
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6
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Show
that any positive even integer is of the form 4q or 4q + 2.
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7
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Show
that any positive even integers is of the form 6q, 6q + 2, 6q + 4.
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8
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Use E.D.A to show that
square of any positive integer is either of the form 3m, 3m + 1
for some integer m.
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9
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Use E.D.A to show that cube of any
positive integer is either of the form 9m, 9m + 1, 9m +
8.
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10
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Given that LCM(989, 1892) is 43516,
find HCF.
Ans 43
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11
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HCF (45 and 105) = 15 find
their LCM
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12
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Given that LCM(77, 99) = 693. Find
HCF.
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13
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Given that HCF(x, 657) = 9 and
LCM(x, 657) = 22338. Find x.
Ans 306
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Q14- Prove the following are irrational
number
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S N
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Questions
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S N
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Questions
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S N
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Questions
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a
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e
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i
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b
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f
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j
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c
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g
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d
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h
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Level - 2
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S.NO.
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QUESTIONS
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Q 15
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If
HCF(6, x) = 2 and LCM(6, x) = 60. Find x.
Ans 20
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Q 16
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If
HCF(48, x) = 24 and LCM(48, x) = 144, find x.
Ans 72
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Q 17
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Check whether 12ⁿ can end with the
digit 0 ∀n ϵ N.
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Q 18
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Check whether 39ⁿ is divisible by
3.
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Q 19
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What is the exponent of 3 in the
prime factorization of 864.
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Q 20
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What is the HCF × LCM for 105 and
120.
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Q 21
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Can two numbers have 15 as their
HCF and 175 as their LCM ? Give reasons.
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Q 22
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If
HCF of 144 and 180 is expressed in the form 13m – 3 , then find the value of
m.
Ans 3
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Q 23
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If
HCF of 65 and 117 is expressible in the form 65n - 117, then find the value
of n.
Ans n = 2
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Q24
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Find
the HCF of 65 and 117 and find the value of m and n if HCF = 65m + 117n
Ans m = 2, n = - 1
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Q25
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By Using EDA, find whether 847,
2160 are co-primes or not
Ans Yes these are co-prime
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Q26
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Show that 2 x 3 x 4 x 5 x 6 x 7 +
5 x 6 is a composite number.
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Q27
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Write
whether given a rational or an irrational
number.  Ans
Rational
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Q28
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Given  The decimal expansion of above given number will terminate after how many
places of decimals.
Ans 4
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LEVEL - 3
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S. No.
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QUESTIONS
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Q35
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If HCF of 81 and 237 be expressed as
81x + 237y then find the value of x and y Ans x = - 38, y = 13
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Q36
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Find the smallest number which leaves
remainder 8 and 12 when divided by 28 and 32 respectively . Ans 204 [Hint 28 – 8 = 20, 32 – 12 = 20, Required No = LCM(28, 32) -20]
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Q37
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What is the smallest number which,
when divided by 35, 56, 91 leaves remainder 7 in each case.
Ans 3647
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Q38
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Find the greatest number that will
divide 445, 572 and 699 leaving remainders 4, 5 and 6 respectively.
Ans 63
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Q39
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Find the greatest number which on
dividing 1657 and 2037 leaves remainder 6 and 5 respectively.
Ans 127
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Q40
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Find the greatest number of 6 digit
which is exactly divisible by 24, 15 and 36 Ans 999720
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Q41
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Show that one and only one out
of n, n + 4, n + 8, n + 12, n + 16 is divisible by 5. Where n is
any positive integer.
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Q42
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Length, breadth and height of a room
are 8 m 25 cm, 6 m 75 cm and 4 m 50 cm respectively. Find the length of
the longest rod which can measure the three dimensions of the room exactly.
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Q43
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Find the greatest number which when
divides 2011 and 2623 leaving remainder 9 and 5 respectively
Ans 154
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Q44
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Find the largest number which on
dividing 1251, 9377 and 15628 leaves remainder 1, 2, and 3 respectively.
Ans 625
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Q45
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On a morning walk, three persons step
out together and their steps measure 30 cm, 36 cm and 40 cm respectively.
What is the minimum distance each should walk so that each can cover the same
distance in complete steps. Ans 360
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