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For a > b, if a + b = 5 and ab = 6, then the value of (a^{2}  b^{2}) is
In the following question, out of the given alternatives, select the word opposite in meaning to the given word.
Inevitable
What is the difference between the expenditure made by a university for the publication of journals and psychology?
Total Expenditure : Rs. 60 Lacs
Expenditure of funds By University for various purposes
In the following questions groups of four words are given. In each group, one word is spelt.
Find the correctly spelled word.
Select the most appropriate antonym of the given word.
INNOCUOUS
Choose the most appropriate word from the options given below to complete the following sentence.
Communication and interpersonal skills are ......... important in their own ways.
In the following question, some of the sentences have errors and some have none. Find out which part of a sentence has an error. The number of that part is the answer. If there is no error, your answer is (4) i.e., No error.
We requested the watchman (1)/ to clean up the basement (2)/ so that the children had enough space to play (3)/ No error (4)
The Palghat Gap (or Palakkad Gap), a region about 30 km wide in the southern part of the Western Ghats in India, is lower than the hilly terrain to its north and south. The exact reasons for the formation of this gap are not clear. It results in the neighbouring regions of Tamil Nadu getting more rainfall from the South West monsoon and the neighbouring regions of Kerala having higher summer temperatures.
Q. What can be inferred from this passage?
It takes 30 minutes to empty a halffull tank by draining it at a constant rate. It is decided to simultaneously pump water into the halffull tank while draining it. What is the rate at which water has to be pumped in so that it gets hilly filled in 10 minutes?
While receiving the award, the scientist said, "I feel vindicated”. Which of the following is closest in meaning to the word ‘vindicated’?
The area enclosed between the parabola y = x^{2} and the straight line y = x is
Which of the following statement is INCORRECT?
A manometer is used to measure the pressure in a tank. The fluid used has a specific gravity of 0.86, and the manometer column height is 50cm, as shown in figure If the local atmospheric pressure is 100kPa, calculate the absolute pressure within the tank.
Take the standard density of water to be 1000kg/m^{3}.
A construction project consists of twelve activities. The estimated duration (in days) required to complete each of the activities along with the corresponding network diagram is shown below.
Total floats (in days) for the activities 57 and 1112 for the project are, respectively,
A cylindrical shell 1000 mm long, 150 mm internal diameter, having a thickness of 8 mm is filled with a fluid at atmospheric pressure. An additional 25000 mm3 of fluid is pumped into the cylinder, then the hoop stressinduced will be ___________ N/mm2[E=2×105 N/mm2 and μ=0.3]
There is a free overfall at the end of a long open channel. For a given flow rate, the critical depth is less than the normal depth. What gradually varied flow profile will occur in the channel for this flow rate?
For a given PERT activity, the standard deviation of the time needed to complete an activity is 3. If the optimistic time and the most likely time required to complete this activity are 8 and 12 minutes respectively. Find out the expected time in order to complete this activity.
The concentration of Sulfur Dioxide (SO_{2}) in the ambient atmosphere was measured as 30 µg/m^{3}. Under the same conditions, the above SO_{2} concentration expressed in ppm is ___________.
Given: (P/(RT) = 41.6 mol/m^{3}; where, P = Pressure; T = Temperature; R – universal gas constant; Molecular weight of SO_{2} = 64.
A steady, incompressible flow is given by:
u = 2x^{2 }+ y^{2} and v= 4xy , What is the convective acceleration along xdirection at point (1, 2)
A twofaced fair coin has its faces designated as head (H) and tail (T). This coin is tossed three times in succession to record the following outcomes: H, H, H. If the coin is tossed one more time, the probability (up to one decimal place) of obtaining H again, given the previous realizations of H, H and H, would be_____.
The function f(x) = 2x^{3} – 3x^{2} – 36x + 2 has its maxima at
The ratio of tension and shear force in each bolt of the joint, as shown in figure, is
Three values of x and y are to be fitted in a straight line in the form y = a + bx by the method of least squares. Given : N=3, ∑x = 6, ∑y = 21, ∑x2 = 14 and ∑xy = 46, the values of a and b are respectively.
A RC column of square crosssection (400×400mm^{2}) has its column loadmoment interaction diagram as shown in figure below.
At two points 1 and 2 in a pipeline the velocities are V and 2V, respectively. Both the points are at the same elevation. Both the points are at the same elevation. The fluid density is ρ. The flow can be assumed to be compressible, inviscid, steady and irrotational. The difference in pressures P_{1} and P_{2} at points I and 2 is
In a network, a project activity has normal cost and normal duration of Rs. 400 and 8 days respectively. The same activity has crash cost and crash duration of Rs. 800 and 6 days. The crash cost slope of activity is;
Precast concrete pile of size 50 cm × 50 cm is to be driven into clay strata. The unconfined compressive strength of which is 110 kN/m^{2}. Then the length required to carry a safe working load of 500 kN with FOS = 3 and α = 0.6 is _______ m.
An RC beam of rectangular crosssection has 250 mm width and 450 mm effective depth. Vertical stirrups 2legged 10 mm diameter are provided at a spacing of 250 mm centre to centre and assume design shear strength of concrete is 0.6 MPa. The total shear capacity (in kN) of the section is
[Use Fe 415 grade steel for stirrups]
The command area of a channel is 4000 hectares. The intensity of irrigation of a crop is 70% and it requires 60 cm of water in 15 days, when the effective rainfall is recorded as 15 cm during that period, then the duty at the head of the channel is _________ ha/cumec.
[Assume total losses as 15%]
A horizontal water jet with a velocity of 10 m/s and crosssectional area of 10mm2 strikes a flat plate held normal to the flow direction. The density of water is 1000kg/m3. The total force on the plate due to the jet is
A man, 65 kg, descends to the ground with the help of a parachute, 18 kg. The parachute is hemispherical in shape, 2m diameter. Density of air can be taken as 0.00125 g/cm^{3} and its kinematic viscosity as 0.15 stoke. What is the terminal velocity of the parachute?
(Take C_{D} = 1.5 and g = 1000 cm/sec^{2})
The eigenvalue of a symmetric matrix are all;
Assuming that the river bed level does not change and the depth of water in the river was 10m, 15m and 8m during the months of February, July and December respectively of a particular year. The average bulk density of the soil is 20kN/mJ3. The density of water is 10kN/m3. The effective stress at a depth of 10m below the river bed during these months would be
Find the horizontal thrust for the frame at A.
For a two dimensional flow field, the stream function Y is given as Ψ = 3/2(y^{2}−x^{2}). The magnitude of discharge occurring between the streamlines passing through points (0, 3) and (3, 4) is:
A piece of material is subjected to two perpendicular stresses 112 N/mm^{2} (tensile) and p (compressive). If the strain energy due to both the stresses is same as a stress of 128 N/mm^{2} acting alone, then the compressive stress, p (in N/mm^{2}), is;
[Take Poisson’s ratio (μ)= 0.3]
A pretensioned concrete member if section 200×250 mm contains tendons of area 500 mm^{2} at centre of gravity of the section. The prestress in the tendons is 1000N/mm^{2}. Assuming modular ratio as 10.the stress in(N/mm^{2}) concrete is
Consider the following statements regarding two hinged arch.
1) Two hinged arch is more stable than three hinged arches and it is more generally used in structures inspite of its indeterminacy.
2) The horizontal reaction at the two hinged arch should be kept minimum for the maximum utilization of the arch.
Which of the above statements are incorrect?
A rectangular foundation of size 4m x 3m exerts a pressure of 25 kN/m^{2}. The vertical stress at a point X located below 3m as shown in the figure is;
A cable of length 20m is supported at two ends at same level as shown in figure. The Horizontal distance between the supports is 16m. A pt. load of 100 kN is applied at pt. R which divides it into equal parts.
Neglecting the self wt. of the cable, the tension (in kN, integer value) in the cable due to applied load will be __________.
A Cipolletti weir discharges water with the head of water over the crest being 20 cm. If the head due to velocity of approach is 0.02 m, what will be the excess percentage of flow, when corrected for velocity of approach as compared to when not corrected?
In the gulp method of stream gauging by dilution technique, 50 liter of chemical X with concentration of 240g/L is introduced suddenly into the stream at a section. At a downstream monitoring section the concentration profile of chemical X that crossed the section was found to be a triangle with a base of 10 hours and a peak of 0.01 ppm. Estimate the discharge in stream in cumec. (Up to 1 decimal place)
What will be the FEM at point A in beam AB?
The beam shown in the given figure has a design bending moment of.
Consider the following activity of a certain network:
The value of
Consider a 6m concrete beam of rectangular crosssection having an effective length of 9 m and subjected to load 15 kN/m. The section size is 400 mm×800 mm. Use M30 concrete and Fe500.
The maximum bending moment occuring in the beam is _____ kNm.
A project network is shown below. Numbering according to Fulkerson’s rule the node numbers corresponding to events A, B, C, D, E, F, G, H and I are
Consider the following network diagram, where σ is the standard deviation for a particular activity (under the normal distribution curve, the probability at Z = 1 is 84.13%).
The probability of completing the project before 31 days is __________%.
Calculate the shear strength of a ISWB section of height 350 mm, breadth 200 mm, thickness of web 8 mm.
An undirected graph C has n nodes. Its adjacency matrix is given by an n × n square matrix whose
(i) diagonal elements are 0’s, and
(ii) nondiagonal elements are l’s.
Which one of the following is TRUE?
The ratio of demand for 2,00,000 persons calculated by Buston’s to Freeman’s formula is
Choose the correct statement(s) with reference to determine the denseness of the granular soil.
i. Loosest state is achieved by free fall of about one centimetre
ii. Loosest state is achieved by vibration
iii. Densest state is achieved by static pressure
iv. Densest state is achieved by combination of static pressure and vibration
The equivalent radius resisting section of 20 cm slab, if the ratio of radius of wheel load distribution to thickness of slab is 0.73 is
A plate load test is conducted using a 600 mm square plate on cohesionless soil. At a load of 0.5N/mm2 applied on the plate, it settles down by 15 mm. Then what can be the minimum size of the square foundation so that the settlement does not exceed the maximum permissible settlement.
The following data is about a reservoir near Jiya Sarai, Delhi.
Depth of water level from the ground, when the reservoir is 60% full, is _________m.
[Assume volume between two consecutive contours
= (Difference between contours)/2 × (Sum of areas of both contours)
Which of the following statements are CORRECT?
1) Measurement of colour is done by colour matching technique, also called Tintometer method.
2) The standard unit of colour is that which is produced by one milligram of platinum cobalt complex dissolved in one litre of distilled water.
3) For public supplies, the colour number on cobalt scale should not exceed 25 and should be preferably less than 5.
A particle moves along a curve whose parametric equations are : x = t^{3}+2t,y = −3e^{−2t} and z = 2sin(5t), where x,y and z show variations of the distance covered by the particle (in cm) with time t (in s). The magnitude of the acceleration of the particle (in cm/s^{2}) at t = 0 is cm^{2}/s
For a constant specific energy of 1.5m, the maximum discharge (in m3/s) that may occur in a parabolic channel 5.0 m wide is
Two masses are attached to the two ends of a cable which passes over two frictionless pulleys as shown in the figure. (Consider acceleration due to gravity as g). The acceleration of the 100 kg mass is
Classify the soil with the following properties according to IS classification:
The magnetic bearing of a line was N 60 °30' W when the declination was 5 °E. The magnetic bearing of line, if declination has changed to 3 °W, is
Two dimensional stress tensor at a point is given by a matrix
[σxx τxy τyx σyy] = [100 30 30 20 ]MPa
The maximum shear stress is _______ MPa.
For the given section of RCC beam, the neutral axis depth by working stress method is _________mm.
[Take M20 grade of concrete and Fe415 steel]
Available chlorine in bleaching powder solution is 0.6 mg/ml. To obtain a chlorine dose of 0.1 mg/lit in a 200 ml water sample, the amount of bleaching powder solution to be added is
28 docs280 tests

28 docs280 tests
