Quiz about Real Numbers

Question 1

Let $$a$$ and $$b$$ be two positive integers such that $$a=p^3 q^4$$ and $$b=p^2 q^3$$, where $$p$$ and $$q$$ are prime numbers. If $$H C F(a, b)=p^{{m}} {q}^{{n}}$$ and $${LCM}({a}, {b})={p}^{{r}} {q}^{{s}}$$, then $$({m}+{n})({r}+{s})=$$

Accepted Answer

Covalent bond

Answer

$$35$$

Answer

$$15$$

Answer

$$30$$

Answer

$$72$$

Question 2

Statement $$A$$ (Assertion): If product of two numbers is $$5780$$ and their $${HCF}$$ is $$17$$ , then their $${LCM}$$ is $$340$$
Statement $$R$$(Reason): $${HCF}$$ is always a factor of $$LCM$$

Accepted Answer

Covalent bond

Answer

Both assertion (A) and reason (R) are true and reason $$(R)$$ is not the correct explanation of assertion (A)

Answer

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A)

Answer

Assertion (A) is true but reason (R) is false.

Answer

Assertion (A) is false but reason (R) is true.

Question 3

If two positive integers $$p$$ and $$q$$ can be expressed as $$p=a b^2$$ and $$q=a^3 b ; a, b$$ being prime numbers, then $${LCM}(p, q)$$ is

Accepted Answer

Covalent bond

Answer

$$a^3 b^2$$

Answer

$$a b$$

Answer

$$a^2 b^2$$

Answer

$$a^3 b^3$$

Question 4

What is the greatest possible speed at which a man can walk $$52 {~km}$$ and $$91 {~km}$$ in an exact number of hours?

Accepted Answer

Covalent bond

Answer

$$13 {~km} /$$ hours

Answer

$$17 {~km} /$$ hours

Answer

$$7 {~km} /$$ hours

Answer

$$26 {~km} /$$ hours

Question 5

In question numbers 19 and 20 , a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option.
Assertion: If $$HCF$$ of $$510$$ and $$92$$ is $$2$$, then the $$LCM$$ of $$510, 92$$ is $$32460$$
Reason: $$a s {HCF}(a, b) 	imes {LCM}(a, b)=a 	imes b$$

Accepted Answer

Covalent bond

Answer

Assertion (A) is false but Reason (R) is true.

Answer

Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

Answer

Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).

Answer

Assertion (A) is true but Reason (R) is false.

Cbse Board Question Paper 2022 Real Numbers Cbse Class 10 Maths Problems and Solutions

Many students find Real Numbers for Cbse Class 10 particularly challenging. Strengthen your concepts and gain confidence for your exams by solving free questions for Real Numbers from Cbse Board Question Paper 2022 for Cbse Class 10 preparation.