List of practice Questions

The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is:
A hollow iron pipe is 20 cm long and its external diameter is 10 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then what is the weight of the pipe?
(Answer to be provided in kg to the third decimal).
40 men took a dip in a water tank 50 m long and 20 m broad on a religious day. If the average displacement of water by a man is 5 m3, what will the rise in the water level in the tank be?
(Answer to be provided in cm)
A card board sheet is of rectangular shape with dimensions 50cm×30cm. From each of its corners, a square is cut off so as to make an open box. If the side of the square is 10 cm, then what is the volume of the box?
(Answer to be provided in cm3)
A particle is falling freely from height h to the ground. (Where h << R and R = Radius of the Earth). Which of the following figure most correctly depicts the acceleration ‘a’ of the particle as a function of time t (neglect air resistance)?
A wire of length 2 m, radius of cross-section 20 mm and Young's Modulus 2×1011 N/m is subjected to a force of 62.8 kN.The change in length of the wire is p×10–5 (in m). Find P. 
The freezing point of the 0.05 molal solution of non - electrolyte in water is? (kf = 1.86)
Oxidation state of S in H2S03 and H2S08
Matrices when the solution of equations is not defined
Dipole placed in a sphere, what will be the electric flux?
Damped oscillation constant decreases then what will be the effect of resonance factor?
A part of the sentence given below is underlined.
Choose the correct alternative to improve underlined part of the sentence.
He seemed very confident and responsible about his work and could make independent decisions. So, I left him with his own devices.
Choose the correctly spelt word from the options given below:-
Five molecules of an ideal gas have velocities 2, 3, 4, 4 and 5 m/s. If their average velocity is \(\bar v\) and their RMS velocity is \(V_{rms}\) then
An opportunistic fungal parasite that causes mycoses in animals:
Carefully observe the given image set depicting a number of contemporary buildings which are repeated in the image set. 
You can view the image for 45 seconds after which it will disappear. You will then answer two questions based on the image. 
Caution: The image once viewed cannot be viewed again. 
set depicting a number of contemporary buildings
Carefully observe the given image of train engines. 
You can view the image for 45 seconds after which it will disappear. You will then answer two questions based on the image. 
Caution: The image once viewed cannot be viewed again. 
image of train engines.
Carefully observe the given image which depicts Lord Krishna with a group of villagers. You can view the image for 45 seconds after which it will disappear. You will then answer two questions based on the image. 
Caution: The image once viewed cannot be viewed again.
Lord Krishna with a group of villagers.
Carefully observe the cartoon drawn by famous cartoonist Mario Miranda. You can view the image for 45 seconds after which it will disappear. You will then answer two questions based on the image. 
Caution: The image once viewed cannot be viewed again. 
the cartoon drawn by famous cartoonist Mario Miranda.
circles (concyclic, 3 pts given and do they form equilateral, right angled triangle)
Carefully observe the given graphic of a metro train interior You can view the image for 45 seconds after which it will disappear. 
You will then answer two questions based on the image. Caution: The image once viewed cannot be viewed again.
graphic of a metro train interior
Carefully observe the given image comprising of different materials. 
You can view the image for 45 seconds after which it will disappear. 
You will then answer two questions based on the image. 
Caution: The image once viewed cannot be viewed again.
image of comprising of different materials.
A motorcyclist is trying to jump across a path as shown by driving horizontally off a cliff A at a speed of 5 m/s. Ignore air resistance and take g = 10m/s2 . The speed with which he touches the cliff B is?
motorcyclist is trying to jump across a path
Carefully observe the given set of images of buildings 
You can view the image for 45 seconds after which it will disappear. 
You will then answer two questions based on the image. 
Caution: The image once viewed cannot be viewed again.
images of buildings
Carefully observe the given image showing timepieces. 
You can view the image for 45 seconds after which it will disappear. 
You will then answer two questions based on the image. 
Caution: The image once viewed cannot be viewed again. 
image showing timepieces.