GATE CE 2021 : Topper's Mini Mock 3 (App update required to attempt this test)
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If NDTV is coded as 4404 and ABP is coded as 126, then how will NEWS be coded as?
The probability of drawing a card which is atleast a spade or a king from a pack of 52 cards is
Identify the best way to improve the underlined part of the given sentence. If there is no improvement required, select ‘no Improvement’.
The Artist co-operates with God in making increasingly larger numbers of people see the beauty of the world which these people could never see for themselves.
The trace and determinant of a 2 × 2 matrix are –2 and –35 respectively. It’s Eigen values are
Which one of the following figures are equal to one acre? 1) 43560 sq.ft 2) 40 gunthas 3) 10 sq. gunters chain 4) 4850 sq. yard Select the correct answer using codes given below:
If the modulus of sub-grade reaction of standard plate of 30 cm diameter is 20 kg/cm3, the value of modulus of sub-grade reaction for a standard plate is --------- kg/cm3.
A solid cylindrical shaft of 50 mm diameter transmits a torque of 1200 Nm. Find the value of shear stress developed.
As per IS : 456 : 2000, as long as the stress in concrete does not exceed times of its characteristic strength, creep may be assumed to be proportional to the stress. The value of x is
Consider the U-tube manometer. What is the pressure(N/m2) difference between A & B ? (Take g=10)
A watershed has four precipitation stations A, B, C and X. The station X was inoperative during a storm. The stations A, B and C recorded precipitations of 6.80 cm, 4.50cm and 3.60cm respectively. The average annual precipitation at A, B, C and X are 71.6cm, 51.8cm, 65.6cm and 48.2cm. Estimate the missing storm precipitation at station X , using arithmetic average method.
What is the reaction at support D of the rigid-jointed structure shown below?
A square footing of 2.5m× 2.5m size has been founded at 1.2m below the ground level in a cohesion soil having bulk density of 1.8t/m3 and unconfined compressive strength of 6.0 t/m2. Determine the ultimate bearing capacity of footing for a FOS of 3.0 by Skempton’s Method. (In t/m2)
A solid circular shaft is required to transmit 200 kW while turning at 1.5 rev/second. The allowable shearing stress is 42 MPa, then the required diameter of the shaft is ________cm.
The spot speeds (expressed in km/hr) observed at a road section are 66, 62, 45, 79, 32, 51, 56, 60, 53, and 39. The median speed (expressed in km/hr) is ________. (Note: answer with one decimal accuracy)
Find the Laplace transform of
what can be the value of the product of p, q and r?
What is the probability of getting a sum of 9 from two throws of a dice?
The Value of is________.
If x is real, the maximum value of is __________.
Two identical rigid bars AB and BC are pinned at B and C supported at A by a pin in a frictionless roller that can only displace vertically, then determine the critical load of the system.
The following data were recorded in a constant head permeability test: (i) Internal diameter of permeameter = 7.5 cm (ii) Head loss over a sample length of 18 cm = 24.7 cm (iii) Quantity of water collected in 60 sec = 626 ml (iv) Void ratio of the soil sample = 78.6% What will be the coefficient of permeability (in cm/s) of the soil and seepage velocity (in cm/s) during the test?
A soil sample has a void ratio of 0.75, moisture content = 15%, GS = 2.6 and γw = 9.81 kN/m3. The amount of water (in kN) required to be added per m3 to make it saturated is
An activated sludge system is operating at equilibrium with the following information: Waste water related data: Flow rate = 750 m3/hour, influent BOD = 120 mg/l, effluent BOD = 8 mg/l. Aeration tank related data: Hydraulic retention time = 6 hours, mean-cell-residence time = 300 hour, volume = 5000 m3, mixed liquor suspended solids = 2500 mg/l. Mixed liquor volatile suspended solids = 1500 mg/l. Food-to-biomass (F/M) ratio for the aeration tank is ________ day–1.
An ideal horizontal flow settling basin is 2.5 m deep having surface area 1200 m2. Water flows at the rate of 15000 m3/day at water temperature 20 °C, dynamic viscosity, μ = 1 × 10–3 kg/m-sec and density of water, ρ = 1000 kg/m3. Assuming Stoke’s law to be valid, the approximate percentage of spherical sand particles (0.01 mm in diameter with specific gravity 2.6) that will be removed is
The design speed for a two-lane road is 70 kmph. When a design vehicle with a wheel base of 7 m is negotiating a horizontal curve on the road, the off-tracking is measured as 0.12 m. The required widening ( in m) of carriageway of the two-lane road on the curve is approximately.
A reinforced concrete beam of rectangular cross section width 250 mm and effective depth 450 mm is subjected to a factored shear force of 150 kN. The grade of concrete, main steel and stirrups are M20, Fe 415 and Fe250 respectively. For the area of main steel provided the design shear stress of concrete is 0.48 N/mm2, the beam is designed for collapse limit state. What is the spacing (in mm), of 2 legged 8 mm stirrups?
A bore is a hydraulic jump which propagates into a still or slower moving fluid as shown in the figure below. Assume that the still water is 2 m deep and the water behind the bore is 3 m deep. What will be the induced water velocity (in m/s)?
Total suspended particulate matter (TSP) concentration in ambient air is to be measured using a high volume sampler. The filter used for this purpose had and initial dry weight of 10.574g. The filter was mounted in the sampler and the initial air flow rate through the filter was set at 2 m3/min. Sampling continued for 24 hours. The airflow after 24 hours was measured to be 1.2 m3/min. The dry weight of the filter paper after 24 hour sampling was 12.345g. Assuming a linear decline in the air flow rate during sampling, what is the 24 hour sampling, what is the 24 average TSP concentration (in μg/m3) in the ambient air?
The velocity along the centre line of a nozzle of length L=0.8 m is given by V =2t where V = velocity in m/s, t= time in seconds from commencement of flow; x =distance from inlet to the nozzle. The total acceleration (in ) of fluid at t = 3 sec and x = 0.5 m, L= 0.8 m will be
A rectangular foundation of size 4m x 3m exerts a pressure of 25 kN/m2. The vertical stress at a point X located below 3m as shown in the figure is
Consider the frame ABCD The horizontal deflection of B to the left is _______mm.
Consider a 6m concrete beam of rectangular cross section 200 mm × 450 mm. The beam is prestressed by 4 wires of diameter 5 mm located 125 mm above the soffit. The prestress induced in the wires is 1.5 kN/mm2. If a concentrated load acts at the midpoint of the load, then the maximum load that can be applied without producing tension at the bottom of the beam is
A pipe of 50 mm diameter is 6 m long and the velocity of flow of water in the pipe is 2.4 m/s. What power (in W) would be saved if the central 2 m length of pipe was replaced by 75 mm diameter pipe, the change of section being sudden? [Take f = 0.04 for the pipes of both diameter]
Find Resultant Reaction at the left support for the given parabolic 3 -hinged Arch.