GATE SEMI-SYLLABUS QUIZ-2 (App update required to attempt this test)
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Question 1
Two links have angular velocity of 20 rad/s and 15 rad/s both in opposite directions. If the radius of the pin at O is 10mm, O is point where two links are connected, determine the rubbing velocity at the joint____?
Question 2
For cutting a rectangular blank of 50 mm × 200 mm from a sheet of 1 mm thickness (mild steel, shear strength= 240 N/mm2). The required force for blanking operation is _____ kN.
Question 3
The following system of homogeneous equations 2x + y + 2z = 0 x + y + 3z = 0 4x + 3y + bz = 0 has non-trivial solution, then the value of ‘b’ is __.
Question 4
The value of Tearing resistance, Shearing Resistance, Crushing resistance of Single riveted lap joint of 15 mm plates with 25 mm diameter rivets having a pitch of 48 mm. Assume Permissible tensile stress in plate = 100 MPa, Permissible shearing stress in rivets = 90 MPa and Permissible crushing stress in rivets = 170 MPa
Find the value ,where ‘C’ is the circle |z| = 3 is equal to;
Question 7
Given set A = {2, 3, 4, 5} and Set B = {11, 12, 13, 14, 15}, two numbers are randomly selected, one from each set. What is probability that the sum of the two numbers equals 16?
Question 8
A hole and shaft have a basic size of 40 mm and are to have a clearance fit with maximum clearance of 0.05 mm and minimum clearance of 0.03 mm, the hole tolerances is 2 times the shaft tolerance. The maximum limit for hole and minimum limit for hole using hole basic system will be _____.
Question 9
Determine the force in the member DB
Question 10
In a party, 60% of the invited guests are male and 40% are female. If 80% of the invited guests attended the party and if all the invited female guests attended, what would be the ratio of males to females among the attendees in the party?
Question 11
For the given epicyclic gear train if the Gear B is fixed and arm C makes 10 revolutions, the number of revolutions made by gear A will be ___. Teeth on gear A and B are 25 and 100 respectively.
Question 12
Find out the average life L50 of roller bearings in million revolutions when subjected to a radial force of 2500 N and axial load of 2500 N and basic dynamic capacity 22000 N.Take X=1, Y=1.( Enter the answer accurate up to two digits)
Question 13
Mould dimensions in a gating design are 150×75×45 cm. Determine the difference of filling time in minutes upto two places of decimal using top and bottom gating, if area of gate cross-section and height of liquid metal above gate are 15 cm2 and 45 cm respectively.
Question 14
A project consists of 7 activities with the following data.
The minimum time required to complete the project (in days) is ___________.
Question 15
The area enclosed between the straight line y = x and the parabola y = x2 in the x – y plane is
Question 16
Fill in the missing number in the series.
2 3 6 15 _____ 157.5 630
Question 17
The voltage length characteristic of a direct current (dc) arc is given by V = (20 + 40 L) Watts Where, L is the length of the arc in cm. The power source characteristic is approximated by a straight line with an open circuit voltage = 80 V and a short circuit current = 1000 amp. The optimum arc length is _________ (in cm).
Question 18
Based on the given statements, select the most appropriate option to solve the given question. If two floors in a certain building are 9 feet apart, how many steps are there in a set of stairs that extends from the first floor to the second floor of the building? Statements: (I) Each step is 3/4 foot high. (II) Each step is 1 foot wide.
Question 19
A carbon steel shaft 60 mm diameter is subjected to a fluctuating torque between 1500 Nm to 4000 Nm. Using Soderberg equation, the factor of safety is _________. [Take, = 600 MPa and = 400 MPa] Assume, = 0.6 and = 0.5 .
Question 20
The average time between two arrivals of customers at a counter in a readymade garment store is 3 min. The average time of the counter clerk to serve the customer is 2 min. the arrivals distributed as per services are as per the exponential distribution. The probability that a customer arriving at the counter will have to wait, is
Question 21
The following data is available for orthogonal turning operation of work piece of diameter 60mm,
Cutting speed=90m/min
Feed=0.15mm/rev
Depth of cut=5mm
Length of chip /rev=80.8mm
Length of uncut chip/rev=188.53mm
Rake angle=10°
Clearance angle=8°
Tangential force 2200N
Thrust force 1200N
The energy loss in the friction is _____W
Question 22
Below is the tabulated data,find the MAD( mean absolute deviation of the forecasting )
Question 23
The time (in seconds) taken by the bullet in seconds to reach the ground if is fired upward at an angle of 40o with a velocity of 30 m/s is _______. ( Take sin 40o = 0.642)
Question 24
Rod of mass M=20kg,and a object at the right end of the beam of mass; m=2kg , spring stiffness;k=200N/m.the natural frequency (Hz) of vibration of system as shown in fig. is
Question 25
In the following table, x is a discrete random variable, and P(x) is the probability density. The difference between the variance & the standard deviation is _________. (up to three decimal places)