288 questions
1
Mixed
Moderate
PYQ
+1.0
-0.33
For a pair of similar triangles shown in the figure, the ratio of the corresponding sides of the two triangles is √2 : 1. If the area of BAC is 1000 cm², then what is the area of RAQ in sq.cm?
2
Mixed
Moderate
PYQ
+1.0
-0.33
In a right angled triangle, right angled at A, the angle formed at B is 45°. If the length of side AB is 5m, then what is the length of the side AC?
3
Mixed
Moderate
PYQ
+1.0
-0.33
If a force of 250 N acts on a body at rest, the momentum acquired is 125 kgm/s. The time for which the force acts on the body is
4
Mixed
Moderate
PYQ
+1.0
-0.33
Two isolated open pipes, filled with a gas, of lengths 20 cm and 20.1 cm produces 5 beats/s when sounded together in their fundamental modes. The velocity of sound in the gas is:
5
Mixed
Moderate
PYQ
+1.0
-0.33
Acrown glass prism with refracting angle 6° is to be achromatised for red and blue light with flint glass prism. Angle of the flint glass prism should be (Given |. = 1.513, [६ = 1.523 for crown glass and |. = 1.645, |॥ = 1.665 for flint glass.)
6
Mixed
Moderate
PYQ
+1.0
-0.33
Tungsten is used for making bulb filaments of incandescent lamps because
7
Mixed
Moderate
PYQ
+1.0
-0.33
A freely falling body takes 4 s to reach the ground. One second after release, the percentage of its potential energy, that is still retained is
8
Mixed
Moderate
PYQ
+1.0
-0.33
What would be the common difference in the following A.P. series? \ ( \ 3, \quad 3 + 3\sqrt{3}, \quad 3 + 6\sqrt{3}, \quad 3 + 9\sqrt{3}, \quad 3 + 12\sqrt{3}, \dots \)
9
Mixed
Moderate
PYQ
+1.0
-0.33
Inatriangle the length of the sides 4B and BC are both1.Sm. What is the length of AC, if the angle formed at B is 60°?
10
Mixed
Moderate
PYQ
+1.0
-0.33
Inatriangle POR, the length of the side PO is 4m, the angle at R is 60° and the angle at Q is 30°, what is the length of Q side PR?