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34 questions · timed · auto-graded

MCQ 11 Mark
What is the value of $\lim _{x \rightarrow 2} 10\ ?$
  • $10$
  • B
    $-2$
  • C
    $8$
  • D
    Indetermine.
Answer
Correct option: A.
$10$
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MCQ 21 Mark
What is the value of $\lim_{x \rightarrow 3} \sqrt{4 x+9}\ ?$
  • $5$
  • B
    $25$
  • C
    $\frac{7}{4}$
  • D
    $7$
Answer
Correct option: A.
$5$
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MCQ 31 Mark
What is the value of $\lim _{x \rightarrow 3} 3 x-1\ ?$
  • A
    $9$
  • B
    $10$
  • C
    $\frac{4}{3}$
  • $8$
Answer
Correct option: D.
$8$
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MCQ 51 Mark
What is modulus form of $N (5, 0.02)?$
  • A
    $|x+5|<0.02$
  • B
    $|x-0.02|<5$
  • C
    $|x-5|>0.02$
  • $|x-5|<0.02$
Answer
Correct option: D.
$|x-5|<0.02$
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MCQ 61 Mark
What is the interval form of $|2 x+1|<\frac{1}{5} ?$
  • A
    $\left(-\frac{6}{5}, \frac{4}{5}\right)$
  • $\left(-\frac{6}{10},-\frac{4}{10}\right)$
  • C
    $\left(\frac{4}{10}, \frac{6}{10}\right)$
  • D
    $\left(-\frac{4}{10}, \frac{4}{10}\right)$
Answer
Correct option: B.
$\left(-\frac{6}{10},-\frac{4}{10}\right)$
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MCQ 71 Mark
What Is the interval form of $|x-5|<0.25?$
  • $(4.75, 5.25)$
  • B
    $(-4.75$,$+5.25)$
  • C
    $(-5.25$,$-4.75)$
  • D
    $(-5.25$,$4.75)$
Answer
Correct option: A.
$(4.75, 5.25)$
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MCQ 81 Mark
What is the interval form of $0.02$ neighbourhood of $-2?$
  • A
    $(1.98, 2.02)$
  • B
    $(-1.98, 2.02)$
  • $(-2.02, -1.98)$
  • D
    $(-2.02, 1.98)$
Answer
Correct option: C.
$(-2.02, -1.98)$
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MCQ 91 Mark
If $y=10-3 x$ and $x \rightarrow-3$ then $y$ tends to which value?
  • A
    $1$
  • B
    $9$
  • $19$
  • D
    $7$
Answer
Correct option: C.
$19$
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MCQ 101 Mark
What is the value of $\lim _{x \rightarrow 3} \frac{x^5+1}{x+1}\ ?$
  • A
    $-5$
  • $5$
  • C
    $4$
  • D
    $-4$
Answer
Correct option: B.
$5$
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MCQ 111 Mark
What is the value of $\lim _{x \rightarrow 3} \frac{ x ^4-81}{ x -3} ?$
  • A
    $192$
  • B
    $324$
  • C
    $36$
  • $108$
Answer
Correct option: D.
$108$
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MCQ 121 Mark
What is the modulus form of $0.3$ neighbourhood of $3?$
  • A
    $|x-0.3|<3$
  • $|x-3|<0.3$
  • C
    $|x+3|<0.3$
  • D
    $|x-3|>0.3$
Answer
Correct option: B.
$|x-3|<0.3$
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MCQ 131 Mark
What is the modulus form of $0.5$ neighbourhood of $5?$
  • A
    $|x-0.5|<5$
  • $|x-5|<0.5$
  • C
    $|x+5|<0.5$
  • D
    $|x-5|>0.5$
Answer
Correct option: B.
$|x-5|<0.5$
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MCQ 141 Mark
If $y=15-3 x$ and $x \rightarrow-2$ then $y$ tends to which value?
  • A
    $6$
  • B
    $-6$
  • $9$
  • D
    $21$
Answer
Correct option: C.
$9$
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MCQ 151 Mark
What is the value of $\lim _{x \rightarrow 1} \frac{ x ^7+1}{ x +1}\ ?$
  • A
    $-7$
  • $7$
  • C
    $6$
  • D
    $-6$
Answer
Correct option: B.
$7$
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MCQ 161 Mark
What is the value of $\lim _{x \rightarrow 3} \frac{x^3-27}{x-3}$ ?
  • $27$
  • B
    $108$
  • C
    $81$
  • D
    $135$
Answer
Correct option: A.
$27$
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MCQ 171 Mark
What is the value of $\lim_{x \rightarrow 1} 15 ?$
  • A
    $-15$
  • $15$
  • C
    $14$
  • D
    Indeterminate
Answer
Correct option: B.
$15$
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MCQ 181 Mark
What is the value of $ \lim _{x \rightarrow 3} \sqrt{3 x+7} $
  • $4$
  • B
    $\frac{7}{3}$
  • C
    $19$
  • D
    $16$
Answer
Correct option: A.
$4$
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MCQ 191 Mark
What is the value of $\lim _{x \rightarrow 1} \frac{ x ^2-1}{ x +1} ?$
  • A
    $0$
  • B
    $2$
  • $-2$
  • D
    $-\frac{1}{2}$
Answer
Correct option: C.
$-2$
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MCQ 201 Mark
What is the value of $\lim _{x \rightarrow 1} 4 x -3\ ?$
  • A
    $4$
  • $1$
  • C
    $7$
  • D
    $\frac{3}{7}$
Answer
Correct option: B.
$1$
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MCQ 211 Mark
What is the neighbourhood form of $0.5$
  • A
    $N (0.5; 1.9)$
  • $N (1.2; 0.7)$
  • C
    $N (1.6; 0.5)$
  • D
    $N (0.7; 1.2)$
Answer
Correct option: B.
$N (1.2; 0.7)$
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MCQ 221 Mark
What is the modulus form of $3.2$
  • A
    $|x-3.2|<6.8$
  • B
    $|x+3.2|<6.8$
  • C
    $|x+5|<1.8$
  • $|x-5|<1.8$
Answer
Correct option: D.
$|x-5|<1.8$
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MCQ 231 Mark
What is the modulus form of $N (3, 0.01)?$
  • $|x-3|<0.01$
  • B
    $|x-0.01|<3$
  • C
    $|x+3|<0.01$
  • D
    $x-3|>0.01$
Answer
Correct option: A.
$|x-3|<0.01$
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MCQ 241 Mark
What is the interval form of $|x-3|<0.15?$
  • $(2.85; 3.15)$
  • B
    $(-2.85; 3.15)$
  • C
    $(-3.15; -2.85)$
  • D
    $(3.15; -2.85)$
Answer
Correct option: A.
$(2.85; 3.15)$
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MCQ 251 Mark
What is the interval form of $|2 x+1|<\frac{1}{3} ?$
  • A
    $\left(-\frac{4}{3}, \frac{4}{3}\right)$
  • B
    $\left(\frac{4}{6}, \frac{2}{6}\right)$
  • $\left(-\frac{4}{6},-\frac{2}{6}\right)$
  • D
    $\left(-\frac{4}{6}, \frac{2}{6}\right)$
Answer
Correct option: C.
$\left(-\frac{4}{6},-\frac{2}{6}\right)$
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MCQ 261 Mark
What is the interval form of $0.03$ neighbourhood of $-3?$
  • A
    $(2.97; 3.03)$
  • $(-3.03; -2.97)$
  • C
    $(-2.97; 3.03)$
  • D
    $(-3.03; 2.97)$
Answer
Correct option: B.
$(-3.03; -2.97)$
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MCQ 271 Mark
Which type of value can be find for given function by use of limit?
  • A
    Average
  • B
    Certain
  • Approximate
  • D
    Infinite
Answer
Correct option: C.
Approximate
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MCQ 291 Mark
What is the neighbourhood form of $|x-5|<0.25$ ?
  • A
    $N(0.25,5)$
  • B
    $N(-5,0.25)$
  • C
    $N(-5,-0.25)$
  • $N(5,0.25)$
Answer
Correct option: D.
$N(5,0.25)$
D
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MCQ 311 Mark
What is the modulus form of 0.3 neighbourhood of 3 ?
  • A
    $|x-0.3|<3$
  • $|x-3|<0.3$
  • C
    $|x+3|<0.3$
  • D
    $|x-3|>0.3$
Answer
Correct option: B.
$|x-3|<0.3$
B
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MCQ 331 Mark
What is the modulus form of $ N(5, 0.02) $ ?
  • A
    $ |x+5|<0.02 $
  • B
    $ |x-0.02|<5 $
  • C
    $ |x-5|>0.02 $
  • $ |x-5|<0.02 $
Answer
Correct option: D.
$ |x-5|<0.02 $
D
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MCQ - Statistics STD 12 Commerce Questions - Vidyadip