GATE Mechanical (ME) Practice Test: Engineering (ME)- 4 Free Online Test

Choose the word or phrase which is nearest in meaning to the key word:

            Pilfer

The following question comprises two words that have a certain relationship between them followed by four pairs of words. Select the pair that has same relationship as the original pair of words

            Fox : Cunning

Replace the phrase printed in bold to make it grammatically correct?

A twenty-first-century economy "cannot be held" hostage by power cuts nor travel on nineteenth-century roads.

Improve the sentence with suitable options by replacing the underlined word.

He "lay" on the grass enjoying the sunshine.

1. Fill in the blanks :

            At times, we are all ______ to be mistaken.

There are two solutions of wine and water, the concentration of wine being 0.4 and 0.6 respectively. If five liters of the first solution be mixed with fifteen liters of the second, find the concentration of wine in the resultant solution.

Rajiv bought some apples at the rate of 25 for Rs. 400 and an equal number at the rate of 30 for Rs. 270. He then sold all at the rate of 10 for Rs. 180. Find his profit/loss percentage

The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is -.

2 men and 3 boys can do a piece of work in 10 days, while 3 men and 2 boys can do the same work in 8 days. In how many days can 2 men and 1 boy do the work ?

In an exam, 60% of the candidates passed in Maths and 70% candidates passed in English and 10% of the candidates failed in both the subjects, 300 candidates passed in both the subjects. Find the total number of candidates appeared in the exam, if they took test in only two subjects that is Math and English.

    is equal to

A fair coin is tossed repeatedly. The probability of getting a result in the fifth toss different from those obtained in the first four tosses. 

Other Roots of the equation

if one root is same as one root of x² + 10x + 9 = 0

A speaks truth in 60% cases and B speaks truth in 70% cases. The probability that they will say the same thing while describing a single event is

While water passes through a given pipe at mean velocity V1. The flow is found to change from Laminar to turbulent. If another fluid of specific gravity 0.8 and coefficient of viscosity 20% of that of water, is passed through the same pipe, the transition of flow from Laminar to turbulent is expected if the flow velocity is

A cylinder contains 0.12 m3 of air at 1 bar and 90⁰c  . It is compressed to 0.03 m³, the final pressure being 6 bar. The index of compression will be   

The rpm of steel bar of 150 mm diameter which is turned at 50 m/min speed with carbide tool is.

 A nuclear fuel element is in the form of a solid sphere of 12.5 mm radius. It’s thermal conductivity is 24.2 W/mK. The heat generation rate is 50 × 10⁶ W/m³. The heat generated is     absorbed by a fluid at 200⁰C . If the maximum temperature is limited to 360⁰C , the convection coefficient (W/m²K) required is

Consider the PERT network shown  below:

The desired completion date for the project if probability of finishing the project is 19% (Z(0.87) = 0.19) is.

    In rolling process, roll diameter is 800 mm. The thickness of 60 mm strip is to be reduced to 40 mm in single pass. Coefficient of friction is

A gas expands from an initial state where the pressure is 340 kPa and volume is 0.0425 m³ to a final pressure of 136 kPa. If the gas follows PV² = c, then the work for the process (in kJ) will be.   

An item is produced at the rate of 50 items per day. The demand occurs at the rate of 25 items per day. If the setup cost is Rs. 100 per setup and holding cost is Rs 0.01 per unit of item per day. The economic lot size is:

In a pipe flow, the head loss due to friction is 6m. If the power transmitted through the pipe has to be maximum then the total head at the inlet will have to be maintained as. 

In a cutting operation, angle of approach is 75⁰  and feed is 0.32 mm/rev. The value of underformed chip thickness is.

Portion BC is semi-circular . If after several oscillation ball of mass 10 kg comes to rest. The bending moment at A when ball is at rest will be ? Take g = 9.81 m/s²

    An orthogonal cutting operation is being carried out under following conditions. Cutting speed = 4m/s, depth of cut = 0.5 mm,Chip thickness = 0.6 mm,Chip velocity is:-

A two stage compressor takes in air at 1.1 bars and discharges at 20 bars. For max efficiency, the intermediate pressure is.   

In case of Partial bearing, the angle of contact between the bush and journal is  

    In a tool life test, doubling the cutting speed reduces the tool life to   of the original. Taylor’s tool life index is. 

A fluid jet is discharging from a 100 mm nozzle and the vena contracta formed has a diameter of 90 mm. If the coefficient of velocity is 0.95, then the coefficient of discharge for the nozzle is.