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  • Question 1
    1 / -0

    The side of a cube is \(5 cm\). Find the volume of the cube.

    Solution

    Given,

    Side \((a)=5 cm\)

    As we know,

    Volume of cube \(=a^{3}\) where \(a=\) side of the cube

    \(=5^{3}\)

    \(=125 cm ^{3}\)

    Hence, the correct option is (C).

  • Question 2
    1 / -0

    Direction: What approximate value will come in place of the question mark (?).

    \(3.2 \times 8.1+3185 \div 4.95=?\)

    Solution

    Given,

    \(3.2 \times 8.1+3185 \div 4.95=? \)

    \(\Rightarrow  3 \times 8+3185 \div 5=? \)

    \(\Rightarrow ?=24+637 \)

    \(\Rightarrow ?=661\)

    Hence, the correct option is (A).

  • Question 3
    1 / -0

    Direction: What approximate value will come in place of the question mark (?).

    \(6789.97-4895.01+1055.99=?+2309.99\)

    Solution

    Given,

    \(6789.97-4895.01+1055.99=?+2309.99\)

    \(\Rightarrow 6790-4895+1056=?+2310 \)

    \(\Rightarrow 1895+1056=?+2310 \)

    \(\Rightarrow 2951=?+2310 \)

    \(\Rightarrow ?=2951-2310 \)

    \(\Rightarrow ?=641\)

    Hence, the correct option is (A).

  • Question 4
    1 / -0

    Convert \(\frac{14}{40}\) into percentage.

    Solution

    The fraction in percentage equals:

    \(\frac{14}{40} \times 100 \)

    \(=\frac{14}{2} \times 5 \)

    \(=35 \%\)

    Hence, the correct option is (C).

  • Question 5
    1 / -0

    The speed of an auto ricksaw is \(40 km / hr\). It travels for \(3\) hours. What is the distance travelled by it?

    Solution

    Given,

    The speed of an auto ricksaw \(=40 km / hr\)

    Time \(=3\) hours

    As we know,

    Distance \(=\) speed \(\times\) time

    \(=40 \times 3 \)

    \(=120 km / hr\)

    Hence, the correct option is (A).

  • Question 6
    1 / -0

    Simplify \(16-2 \div 7+6 \times 2\).

    Solution

    Given,

    \(16-2 \div 7+6 \times 2 \)

    \(=16-\frac{2}{7}+6 \times 2 \)

    \(=16-\frac{2}{7}+12 \)

    \(=28-\frac{2}{7} \)

    \(=\frac{196-2}{7} \)

    \(=\frac{194}{7} \)

    \(=27 \frac{5}{7}\)

    Hence, the correct option is (A).

  • Question 7
    1 / -0

    An aeroplane travelled \(4320 km\) in \(6 hrs\). find its speed.

    Solution

    Given,

    Distance travelled by aeroplane \(=4320 km\)

    Time \(=6\) hrs

    As we know,

    Speed \(=\frac{\text { distance }}{\text { time }} \)

    \(=\frac{4320}{6} \)

    \(=720 km / hr\)

    Hence, the correct option is (C).

  • Question 8
    1 / -0

    Simplify \(20-[28 \div\{34-(36-18 \div 9 \times 8)\}]\).

    Solution
    Given,
    \(\begin{array}{l}
    20-[28 \div\{34-(36-18 \div 9 \times 8)\}] \\
    =20-[28 \div\{34-(36-2 \times 8)\}] \\
    =20-[28 \div\{34-(36-16)\}] \\
    =20-[28 \div\{34-20\}] \\
    =20-[28 \div 14] \\
    =20-2 \\
    =18
    \end{array}\)
    Hence, the correct option is (D).
  • Question 9
    1 / -0

    The length of cube is \(20 cm\), then its volume \(\left( cm ^{3}\right)\) is:

    Solution

    Given,

    Length of cube \((a)=20 cm\)

    As we known,

    Volume of cube \(=(a)^{3}\)

    \(=(20)^{3}\)

    \(=8000 cm ^{3}\)

    So, the volume of cube is \(8000 cm ^{3}\).

    Hence, the correct option is (B).

  • Question 10
    1 / -0

    Convert into percentage \(\frac{24}{288}\).

    Solution

    The fraction in percentage equals:

    \(\frac{24}{288} \times 100\)

    \(=\frac{1}{12} \times 100\)

    \(=\frac{100}{12}\)

    \(=\frac{25}{3}\)

    \(=8 \frac{1}{3} \%\)

    Hence, the correct option is (A).

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