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Multiple choice maths square and square root scientific notation use of exponents power of 10

Which of the following options is INCORRECT?

  1. The number $48693$ rounded off to nearest hundred is $48700$

  2. LXXV is greater than LXXIV
  3. One million is equal to $10$ crore
  4. Place value of a digit $=$(face value of the digit)$\times$ (Value of the place)
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Option A: For rounding to the nearest hundred, If tens digit is 0,1,2,3,4

, then round down to the previous hundred and If tens digit is 5,6,7,8,9, then round up to the next hundred.
Following the above rule, as 6 is present in the hundredth place, we will round up it to $700$.

Hence $48693$ $\rightarrow$ $48700$.

Option B: LXXV $\rightarrow$ $75$
                 LXXIV $\rightarrow$ $74$
So, LXXV $>$ LXXIV

Option C: 1 million $\rightarrow$ 10,00,000 $\rightarrow$ 10lakh

Option D: Face value is the value of the digit itself.
Value of place if the position of the digit in the number
Hence, Place value $\rightarrow$ face value $\times$ Value of place

Hence Option C is incorrect.





Multiple choice maths square and square root scientific notation use of exponents power of 10

In scientific notation, $670,000,000 + 700,000,000 =$?

  1. $1.37 \times {10}^{-9}$
  2. $1.37 \times {10}^{7}$
  3. $1.37 \times {10}^{8}$
  4. $1.37 \times {10}^{9}$
  5. $137 \times {10}^{15}$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

$670,000,000+700,000,000=1,370,000,000$

$\therefore 1,370,000,000=1.37\times 10^9$
Ans-Option $D$.

Multiple choice maths introduction to set different sets de morgan's law de morgan's law for set theory
Given, universal set = {$x \,\,\epsilon\,\, Z$ : $- 6 < x \leq 6$}, N = {$n$ : $n$ is a non-negative number} and P = {$x$ : $x$ is a nonpositive number}. Find :$P'$
  1. $\{-1,-2,-3,-4,-5,-6\}$
  2. $\{1,2,3,4,5,6\}$
  3. $\{0,1,2,3,4,5,6\}$
  4. $\{0,-1,-2,-3,-4,-5,-6\}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Universal set includes ${-5,-4,-3,-2,-1,0,1,2,3,4,5,6}$


P=${-5.-4.-3,-2,-1,0}$.

Hence P' only has the elements in option B. It does not contain 0.
P'=${1,2,3,4,5,6}$.

Multiple choice maths introduction to set different sets de morgan's law de morgan's law for set theory

If the universal set ${x\in W ,3<x≤12} ,A={5,7,9}$, then $A'=$

  1. $\{3,6,8,10,11,12\}$
  2. $\{4,6,8,10,11,12\}$
  3. $\{6,8,10,11,12\}$

  4. None of the above
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation
Given universal set is $\{x\in W ,3<x≤12\}$
It can be written as a set $\{4,5,6,7,8,9,10,11,12\}$
$A$ is given as $A=\left\{5,7,9\right\}$
$\therefore A'=W-A=$ All the elements in the universal set but not in set $A$
         $ =\{4,6,8,10,11,12\}$
Hence, option B is correct
Multiple choice maths introduction to set different sets de morgan's law de morgan's law for set theory

Let  $U={x: \in, W: 3<x< 12} $, $B={4,6,8,10}$ . $B'$

  1. $\{6,7,9,11,12\}$
  2. $\{5,7,9,11\}$
  3. $\{5,7,9,10,11,12 \}$

  4. None of the above
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation
Given universal set is $\{x\in W ,3<x<12\}$
It can be written as a set $\{4,5,6,7,8,9,10,11\}$
$B$ is given as $B=\left\{4,6,8,10\right\}$
$\therefore B'=W-B=$ All the elements in the universal set but not in set $B$
         $ =\{5,7,9,11\}$
Hence, option B is correct