Maths-
General
Easy
Question
The sum of all integers between 50 and 500 which are divisible by 7 is
- 18696
- 15696
- 17696
- 14696
Hint:
Find the number of terms in the series. Then find sum to n terms by the formula.
The correct answer is: 17696
Detailed Solution
The series of integers divisible by 7 between 50 and 500 are 56, 63, 70, …, 497
Let the number of terms be ‘n’
So, a = 56, d = 63-56 = 7, 
= 497
To find number of terms, use formula
Substituting the known values in above
Now by using the formula
Thus, the sum of all integers between 50 and 500 which are divisible by 7 is 17696.
Related Questions to study
Maths-
digits )=
digits )=
Maths-General
maths-
In a 
as shown in figure given that 
, then the value of 
is
In a as shown in figure given that , then the value of is
maths-General
physics-
A bob of mass M is suspended by a massless string of length L. The horizontal velocity 
at position A is just sufficient to make it reach the point B. The angle 
at which the speed of the bob is half of that at A, satisfies
A bob of mass M is suspended by a massless string of length L. The horizontal velocity at position A is just sufficient to make it reach the point B. The angle at which the speed of the bob is half of that at A, satisfies
physics-General
physics-
A particle of mass 
attracted with a string of length 
is just revolving on the vertical circle without slacking of the string. If 
and 
are speed at position 
and 
then
A particle of mass attracted with a string of length is just revolving on the vertical circle without slacking of the string. If and are speed at position and then
physics-General
physics-
A bob of mass 
is suspended by a massless string of length 
. The horizontal velocity 
at position 
is just sufficient to make it reach the point 
. The angle at which the speed of the bob is half of that at , satisfies
A bob of mass is suspended by a massless string of length . The horizontal velocity at position is just sufficient to make it reach the point . The angle at which the speed of the bob is half of that at , satisfies
physics-General
physics-
A body of mass is moving with a uniform speed along a circle of radius 
, what is the average acceleration in going from to ?
A body of mass is moving with a uniform speed along a circle of radius , what is the average acceleration in going from to ?
physics-General
Physics-
Figure shows four paths for a kicked football. Ignoring the effects of air on the flight, rank the paths according to initial horizontal velocity component, highest first
Figure shows four paths for a kicked football. Ignoring the effects of air on the flight, rank the paths according to initial horizontal velocity component, highest first
Physics-General
physics-
A boy throws a cricket ball from the boundary to the wicket-keeper. If the frictional force due to air cannot be ignored, the forces acting on the ball at the position X are respected by
A boy throws a cricket ball from the boundary to the wicket-keeper. If the frictional force due to air cannot be ignored, the forces acting on the ball at the position X are respected by
physics-General
physics-
In a two dimensional motion of a particle, the particle moves from point , position vector 
. If the magnitudes of these vectors are respectively, 
=3 and 
and the angles they make with the 
-axis are 
and 15
, respectively, then find the magnitude of the displacement vector
In a two dimensional motion of a particle, the particle moves from point , position vector . If the magnitudes of these vectors are respectively, =3 and and the angles they make with the -axis are and 15, respectively, then find the magnitude of the displacement vector
physics-General
Physics-
A particle is moving on a circular path of radius with uniform velocity . The change in velocity when the particle moves from 
to
is
A particle is moving on a circular path of radius with uniform velocity . The change in velocity when the particle moves from tois
Physics-General
Physics-
From an inclined plane two particles are projected with same speed at same angle , one up and other down the plane as shown in figure, which of the following statements is/are correct?
From an inclined plane two particles are projected with same speed at same angle , one up and other down the plane as shown in figure, which of the following statements is/are correct?
Physics-General
physics-
A string of length is fixed at one end and carries a mass at the other end. The string makes 
revolutions per 
around the vertical axis through the fixed end as shown in figure , then tension in the string is
A string of length is fixed at one end and carries a mass at the other end. The string makes revolutions per around the vertical axis through the fixed end as shown in figure , then tension in the string is
physics-General
physics-
A piece of wire is bent in the shape of a parabola 
-axis vertical) with a bead of mass on it. The bead can side on the wire without friction. It stays at the lowest point of the parabola when the wire is at rest. The wire is now accelerated parallel to the -axis with a constant acceleration 
. The distance of the new equilibrium position of the bead, where the bead can stay at rest with respect to the wire, from the 
-axis is
A piece of wire is bent in the shape of a parabola -axis vertical) with a bead of mass on it. The bead can side on the wire without friction. It stays at the lowest point of the parabola when the wire is at rest. The wire is now accelerated parallel to the -axis with a constant acceleration . The distance of the new equilibrium position of the bead, where the bead can stay at rest with respect to the wire, from the -axis is
physics-General
physics-
A frictionless track 
ends in a circular loop of radius 
figure. A body slides down the track from point which is at a height 
cm. Maximum value of 
for the body to successfully complete the loop is
A frictionless track ends in a circular loop of radius figure. A body slides down the track from point which is at a height cm. Maximum value of for the body to successfully complete the loop is
physics-General
Physics-
The resultant of a system of forces shown in figure is a force of 10 N parallel to given forces through , where 
equals
The resultant of a system of forces shown in figure is a force of 10 N parallel to given forces through , where equals
Physics-General
