**Class 10 Maths MCQ’S on Chapter 1 Real Numbers for Term-1 CBSE Board Exam 2021**

**Class 10 Maths MCQ’S on Chapter 1 Real Numbers for Term-1 CBSE Board Exam 2021** are created here for the preparation of **Term 1 CBSE Board exam 2021**. The practice of such **MCQ** questions is strictly required to every student because in **Term 1 CBSE Board exam 2021** there will be 50 **MCQ** questions in which students have to solve 40 questions in 90 minutes . Each question is of 1 mark, so the average time is given to a question to solve it is 2.25 minutes, there may be a few of** questions** that will take more than 5 minutes, hence the practice of these **MCQ** **questions** is needed to every student.

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**Q1. The decimal form of 229/(2 ^{3}ร5^{6}ร3^{3}) is**

**(a) Terminatingย ย (b) Non -recurring terminatingย (c) Recurring terminating decimal (d) None of these**

Ans. (c) Recurring terminating decimal

The decimal form of any rational number is terminating if the factor of the denominator ( Q) inย P/Q are of the form (2^{m}ร5^{n}) where P and Q both are co-prime numbers and if the factors are other than of the form (2^{m}ร5^{n}) then it is Recurrent and terminating decimal

**Q2. After how many places of decimal will the decimal expansion of the number 37/(2 ^{3}ร5^{2})ย terminate ?**

**(a) 3ย ย ย ย (b) 4ย ย ย ย (c) 2ย ย ย ย (d) 1**

Ans.(a) 3

The given number is

37/(2^{3}ร5^{2})

Multiplying the denominator and numerator by 5

(37ร5)/(2^{3}ร5^{2}ย ร5)

185/(2^{3}ร5^{3}) =185/1000 = 0.185

**Q3. A die is thrown once .The probability of getting a composite number is**

**(a) 1/3ย ย (b)ย ย 1/6ย ย ย (c)ย 1/2ย ย (d) 2/3**

Ans. The total number of outcomes when a die is throwen once are =6

The number of composite numbers are = 2(i.e 4,6)

P(outcome is composite number) = Number of composite numbers/Total number of outcomes =2/6 = 1/3

**Q4.The product of rational and irrational number is**

**(a) rationalย ย ย (b) irrationalย ย ย (c) both of aboveย ย (d) none of the above**

Ans. The product of a rational number (i.e 2) and irrational number (i.e โ2) is irrational (i.e 2โ2)

Ans. (b) irrational

**Q5. If b = 3 ,then any integer can be expressed as a**

**(a) 3q ,3q +1, 3q + 2ย ย (b) 3qย ย (c) none of the aboveย ย (d) 3q +1**

Ans.(a) 3q ,3q +1, 3q + 2

According to Euclid’s theorem any positive integer(a) can be written in the form of bq +r

a = bq +r where 0 โค r < b

We are given b =3

โด 0 โค r< 3

The possible values of r are 0,1,2

The corresponding values of a are 3q,3q +1 and 3q +2

**Q6. The HCF of 5 ^{30}and 5ยณ will be**

**(a)5 ^{30}ย (b) 125ย ย (c) 1ย ย ย (d) 5**

Ans. (b) 125

The given numbers are

5^{30}**=****5ร5ร5ร**5^{27}

5ยณ** = 5ร5ร5**

HCF of the given numbers is 5ร5ร5 = 125

**Q7.The product of three consecutive integers isย divisible byย **

**(a) 4ย ย ย ย (b) 6ย ย ย ย ย (c) no common factorย ย ย (d) only one**

Ans.(b) 6

Let three consecutive integers are 1,2 and 3

Their products = 1ร2ร3 = 6, which is divisible by 6, similarly we can other triplets ,their product is always divisible by 6

**Q8.LCM of the given number and โxโย where โyโ is multiple of โxโ is given by**

**(a) xย ย ย (b) yย ย ย ย (c) xyย ย ย (d) x/y**

Ans.(b) y

The given number is x and y is multiple of x

Let y = ax

LCM(x,y) = ax = y

**Q9.There are , 260 and 156 students in class X, XI and XII respectively. Buses are to be hired to take these students to a picnic. Find the maximum number of students who can sit in a bus if each bus takes equal number of students.**

**(a) 52ย ย ย (b) 56ย ย ย (c) 48ย ย ย (d) 63**

Ans.(a) 52

The number of students of X,XIand XII are 312, 260 and 156 respectively

The maximum students who can sit in a bus if each bus carries equal number of the students = HCF of the numbers 312,260 and 156

312 ย = 2ร**2ร2ร13** ร3

260 = **2ร2**ร5ร**13**

156 = 3ร**2ร2ร13**

HCF = 2ร2ร13 = 52

**Q10.There is a circular path around a sports field. Priya takes 18 minutes to drive one round of the field. Harish takes 12 minutes. Suppose they both start at the same point and at the same time and go in the same direction. After how many minutes will they meet?**

**(a) 36 minutesย ย (b) 18 minutesย ย ย (c) 6 minutesย (d) They will not meet**

Ans.(c) 6 minutes

Priya takes to drive one round of circular path in 18 minutes and Harish takes 12 minutes

If they start at the same point then they will meet after a time period equivalent to the LCM of 18 and 12

18 = 3ร**3ร2** and 12 = 2ร**2ร3**

The LCM = 3ร2 = 6

**Q11.Three farmers have 490 kg, 588 kg and 882 kg of wheat respectively. Find the maximum capacity of a bag so that the wheat can be packed in exact number of bags.**

**(a) 98 **kgย ** ย ย (b) 290 kgย ย ย (c) 200 kgย ย ย ย (d) 350 kgย ย **

Ans.(a) 98 kgย ** ย **

It is given that three farmers have 490 kg, 588 kg and 882 kg of wheat respectively

Maximum capacity of a bag so that the wheat can be packed is equivalent to their HCF of the numbers 490 , 588ย and 882

490 = 7ร7ร2ร5

588 = 2ร2ร7ร7ร3

882 = 2ร3ร3ร7ร7

HCF(490 , 588 , 882) = 2ร7ร7 = 98

**Q12. mยฒ – 1 is divisible by 8 ,if m is**

**(a) an even numberย ย (b) an odd numberย ย (c) a natural numberย ย (d) a whole number**

Ans.(b) an odd number

The expression given to us is mยฒ – 1

For m =1 the value of mยฒ – 1 =1ยฒ -1 = 0 ,divisible by 8

For m =2 the value of mยฒ – 1 =2ยฒ-1 =3 ,not divisible by 8

For m =3 the value of mยฒ – 1 =3ยฒ -1 = 8 ,divisible by 8

Hence m should be odd number

The purpose of these solutions ofย MCQ questionsย based on chapter 1 -Real numbers Class 10 Maths NCERT is to aware all the students about the type of questions which are going to be asked in Term 1 CBSE Board exam 2021 .We hope you would have liked the solutions of these MCQ ,if it is so subscribe us so that we could bring other input study material for your future examination.

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