Out of the following .............. is rational number.
- A$\sqrt{3}$
- B$\pi$
- ✓$\frac{4}{0}$
- D$\frac{0}{4}$
Answer: C.
View full solution →Question types
Real Numbers question types
146 questions across 7 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
146
Questions
7
Question groups
5
Question types
01
M.C.Q (1 Marks)
45 Q→02Fill In The Blanks[1 Marks ]
25 Q→03True False[1 Marks ]
20 Q→041 Marks Question
36 Q→052 Marks Questions
7 Q→063 Marks Question
7 Q→07Match The Following.
6 Q→Sample Questions
Real Numbers questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
The least perfect square number which is divisible $3,4,5,6$ and $8$ is
- A$900$
- B$1200$
- C$2500$
- ✓$3600$
Answer: D.
View full solution →$\operatorname{LCM}(a, 18)=36 \operatorname{HCF}(a, 18)=2$ then $a=$ ..............
- A$2$
- B$3$
- ✓$4$
- D$1$
Answer: C.
View full solution →If $\operatorname{HCF}(a, b)=18$ then $\operatorname{LCM}(a, b)=\ldots \ldots \ldots$. is not possible.
- A$36$
- B$72$
- ✓$48$
- D$108$
Answer: C.
View full solution →Out of the following ................ is a square of any natural number.
- A$136162$
- B$126738$
- C$410883$
- ✓$385641$
Answer: D.
View full solution →$22=3 k+1$, then $k=\ldots \ldots \ldots . .(1,7,14)$
View full solution →The $x+y=$ ............. for the following factorisation tree. $(30,32,34)$
View full solution →The $LCM$ of the least prime factorisation and composite factorisation is ........... . $(2,4,6)$
View full solution →Dividing $a^2$ by $6$ , the reminder will be ............... $(a \in N )(0,1,3$, or $4,0,1,3$, or $5,0,1,3)$
View full solution →The largest number of $4$ digit which is divisible by $65$ is $............ (130, 325, 9945)$
View full solution →By dividing the integer $a$ by $3$ , we get the remainder $0$ and $1$ only.
View full solution →The $HCF$ of $15$ and $51$ is not $1$ .
View full solution →The $HCF$ of $(120,504,882)$ is $6$ .
View full solution →$3.141141114 \ldots \ldots . . .$. is an irrational number.
View full solution →$2+\sqrt{2}$ is an irrational number.
View full solution →Given that $HCF\ (306, 657) = 9$, find $LCM (306, 657)$.
View full solution →Find the $LCM$ and $HCF$ of $12, 15$ and $21$ integers by applying the prime factorisation method.
View full solution →Find the $LCM$ and $HCF$ of $8, 9$ and $25$ integers by applying the prime factorisation method.
View full solution →Find the $LCM$ and $HCF$ of $17, 23$ and $29$ integers by applying the prime factorisation method.
View full solution →Find the LCM and HCF of 510 and 92 pairs of integers and verify that LCM $\times$ HCF = product of the two numbers.
View full solution →Prove that $6+\sqrt { 2 }$ is irrational.
View full solution →Prove that $7 \sqrt { 5 }$ is irrational.
View full solution →Check whether $6^n$ can end with the digit $0$ for any natural number $n$.
View full solution →Find the $LCM$ and $HCF$ of $336$ and $54$ pairs of integers and verify that $LCM$ $\times$ $HCF$ = product of the two numbers.
View full solution →Find the $HCF$ and $LCM$ of $6, 72$ and $120$, using the prime factorisation method.
View full solution →Prove that $\frac{1}{{\sqrt 2 }}$ is irrational.
View full solution →Prove that $3+2\sqrt { 5 }$ is irrational.
View full solution →Prove that $\sqrt 5 $ is irrational.
View full solution →There is a circular path around a sports field. Sonia takes $18$ minutes to drive one round of the field, while Ravi takes $12$ minutes for the same. 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 again at the starting point?
View full solution →Explain why $7 \times 11 \times 13+13$ and $7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1+5$ are composite numbers.
View full solution →| $A$ | $B$ |
| $Q.1.$ Write the prime factorisation if $98.$ | $(a) 2^2\times7$ |
| $Q.2. LCM (a, 18) = 36, HCF (a, 18) = 2$ Find the value of $a$ | $(b) 2\times 7 ^2$ |
| $(c) 4$ |
| $A$ | $B$ |
| $Q.1.$ Find the $HCF$ of $32$ and $33$ | $(a) 1$ |
| $Q.2.$ The product of two consecutive positive integers is always divisible by $......$ | $(b) 2$ |
| $(c) 3$ |
| $A$ | $B$ |
| $Q.1$. Which number is $0.120\ 1200\ 12000\ 120000 ......$ | $(a)5$ |
| $Q.2.$ Write the $HCF$ of $15$ and $51$ | $(b)$irrational |
| $(c)3$ |
| $A$ | $B$ |
| $Q.1.$ Which number is $3 + \sqrt 3?$ | $(a)\sqrt4$ |
| $Q.2. ..........$ is not an irrational number. | $(b)\sqrt5$ |
| $(c)$ irrational |
| $A$ | $B$ |
| $Q.1.$ If $HCF$ of two numbers is their product then find their $LCM$ | $(a) \frac{0}{4}$ |
| $Q.2.$ Which number is a rational number $?$ | $(b) \frac{4}{0}$ |
| $(c) 1$ |
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