Explore topic-wise MCQs in Mathematics.

This section includes 62 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

51.

The number which is multiplied by \[{{(-8)}^{-1}}\]to obtain a product equal to \[{{10}^{-1}}\] is ____.

A. \[-\frac{4}{5}\]
B. \[-\frac{3}{5}\]
C. \[-\frac{1}{5}\]
D. \[-\frac{5}{4}\]
Answer» B. \[-\frac{3}{5}\]
52.

Find the value of \[3\sqrt[3]{2}\times 7\sqrt[3]{6}\times 5\sqrt[3]{18}\]

A. \[545\]
B. \[500\]
C. \[630\]
D. \[360\]
Answer» D. \[360\]
53.

What is the simplified form of\[{{\left( -6xy \right)}^{6}}\div {{\left( -6xy \right)}^{2}}\]?

A. \[{{\left( -6xy \right)}^{6}}\]
B. \[{{\left( -6xy \right)}^{8}}\]
C. \[\left( -6xy \right)\]
D. \[{{\left( -6xy \right)}^{4}}\]
Answer» E.
54.

Avogadro number is written as\[602,\]\[000,\]\[000,\]\[000,\]\[000,\]\[000,\]\[000,\]\[000\]. Express this number in standard form.

A. \[6.02\times {{10}^{23}}\]
B. \[6.02\times {{10}^{21}}\]
C. \[602.0\times {{10}^{21}}\]
D. \[0.602\times {{10}^{23}}\]
Answer» B. \[6.02\times {{10}^{21}}\]
55.

What is the value of\[\left( 1{}^\circ \times 2{}^\circ\right)\times {{5}^{2}}?\]

A. 25
B. 0
C. \[-25\]
D. 1
Answer» B. 0
56.

Find the numerical value of\[{{16}^{0.75}}\].

A. 8
B. 32
C. \[{{2}^{-3}}\]
D. \[{{4}^{-3}}\]
Answer» D. \[{{4}^{-3}}\]
57.

If \[{{3}^{x}}=300\], then the value of \[{{3}^{x-2}}\] is

A. \[\frac{200}{11}\]
B. \[\frac{300}{50}\]
C. \[\frac{100}{3}\]
D. \[\frac{300}{2}\]
Answer» D. \[\frac{300}{2}\]
58.

If\[\sqrt{{{3}^{x}}}=243,\] then\[x=\]?

A. 2
B. 4
C. 6
D. 10
Answer» E.
59.

If \[{{8}^{x-1}}={{2}^{x+3}},\]then \[x\] is

A. 2
B. 1
C. 0
D. 3
Answer» E.
60.

What is the value of\[{{2}^{4}}\times {{5}^{3}}\]

A. 2453
B. 2000
C. 11200
D. 10000000
Answer» C. 11200
61.

Express\[\underline{a\times a\times a}\]\[\times \]\[\underline{c\times c\times c\times c}\]\[\times \]\[b\times b\]in exponential form.

A. \[{{a}^{3}}{{c}^{3}}{{b}^{3}}\]
B. \[{{a}^{3}}{{c}^{3}}b\]
C. \[{{a}^{3}}{{c}^{3}}b\]
D. \[{{a}^{3}}{{c}^{4}}{{b}^{2}}\]
Answer» E.
62.

If \[{{3}^{x}}=300,\] then the value of \[{{3}^{x-2}}\] is

A. \[\frac{200}{11}\]
B. \[\frac{1}{963}\]
C. \[\frac{100}{3}\]
D. \[\frac{300}{2}\]
Answer» D. \[\frac{300}{2}\]