Write the smallest 5-digit number and express it in the form of its prime factors.
How many times a wheel of radius 28 cm must rotate to go 352 m?
(Take π
)
Find six rational numbers between 3 and 4.
The minute hand of a circular clock is 15 cm long. How far does the tip of the minute hand move in 1 hour. (Take π = 3.14)
If force, acceleration and time are taken as fundamental quantities, then the dimension of mass will be
Position of a body is represented
by r = A sin Bx + C sin Dt where x is in metres and t is in seconds.
The dimension of
is
Find all prime factors of 1729 and arrange them in ascending order. Now state the relation, if any; between two consecutive prime factors.
Use the sign of >, < or = in the box to make the statements true.
State whether the following statements are true or false. Give reasons for your answers.
(i) Every natural number is a whole number.
(ii) Every integer is a whole number.
(iii) Every rational number is a whole number.
The respective number of significant figures for the number are
The product of three consecutive numbers is always divisible by 6. Verify this statement with the help of some examples.
A picture is painted on a cardboard 8 cm long and 5 cm wide such that there is a margin of 1.5 cm along each of its sides. Find the total area of the margin.