Download App

Sets — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSSets2 Marks
Question
State the following statement is true and false. Justify your answer.
496 $\notin$ {y | the sum of all the positive factors of y is 2y}.
✓

Answer

Given that: 496 $\notin$ {y | the sum of all the positive factors of y is 2y}.
$\therefore$ The positive factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248 and 496
$\therefore$ The sum of all the positive factor of 496 = 1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248 + 496 = 992 = 2 × 496
So 496 is an element of the given set.
Hence, the given statement is 'False'.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from Sets→Sets — all question types→MATHS STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

Let R be a relation from N to N defined by $\text{R}=\{(\text{a, b}):\text{a, b}\in\text{N and a}=\text{b}^2\}.$ Are the following statement true?
$(\text{a, b}):\text{R }\text{for all a}\in\text{N}$ 
→
Prove that:
$\frac{\cos2\text{x}}{1+\sin2\text{x}}=\tan(\frac{\pi}{4}-\text{x})$
→
Find the sum of the following series to infinit:

$10-9+8.1-7.29+\ ...\infty$

→
$\text{a}(\sin\text{B}-\sin\text{C})+\text{b}(\sin\text{C}-\sin\text{A})+\text{c}(\sin\text{A}-\sin\text{B})=0$
→
Prove that the lines 2x + 3y = 19 and 2x + 3y + 7 = 0 are equidistant from the line 2x + 3y = 6.
→
Show that the line joining (2, -5) and (-2, 5) is perpendicular to the line joining (6, 3) and (1, 1).
→
Solve the inequality $x+\frac{x}{2}+\frac{x}{3}<11$ for real x.
→
Is $A =\{ x : x \in N , 1< x \leq 2\}$ null set?
→
Is it true that for any sets A and B, $P(A) \cup P(B) = P(A \cup B)?$Justify your answer.
→
Three coins are tossed together,find the probability of getting:

At least one head and one tail.

→