A sentence is split into 3 parts in the 3 options given below. If any part of the sentence has an error – grammatical or otherwise, mark that option as your answer. In case there is no error, mark option ‘d’.
What is the number of integral solutions for x3-x2-2x-19=0?
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All 2 digit numbers where both places occupy the same number, in an ascending order with a vertical line separating their pair of next consecutive numbers. This sequence follows with the same condition of 2 digit numbers. Consider 10 as a first two digit number. The number of these vertical lines separating such pairs is ______.
If x2-y2= 702, how many ordered pairs of solutions for x and y exist such that x, y are natural numbers
What is the respective ratio between the expenditure made by university on research work and purchase of books for library?
Total expenditure is 60 lakhs.
I have been waiting _____ last year September.
Roll numbers given to a select of students are unique 4 digit numbers. One roll number is picked up at random, what is the probability that the chosen number is divisible by 11 or 13 ?
In the solution of the following set of linear equations by Gauss elimination using partial pivoting
5x + y + 2z = 34; 4y – 3z = 12; and
10x - 2y + z = – 4
the pivots for elimination of x and y are
Chose the correct expression for f(x) given in the graph.
List 1 contains quality parameters of water and List 2 contains reagents required for computation. Choose the correct option.
List 1
P. Bacterial concentration
Q. COD
R. Dissolved Oxygen
S. Chlorine
List 2
1) Silver Nitrate
2) Lactose Broth
3) Sodium Thiosulphate
4) Alkali Iodide Azide
A rectangular channel had a positive surge of velocity 10 m/s moving down the channel. If depth of flow and velocity after the passing of the surge are 4.0 m and 5.0 m/s respectively, the velocity before the passage of the surge is _____m/s.
A double cover butt riveted joint is used to connect two flat plates of 250 mm width and 16 mm thickness as shown in figure. There are sixteen power driven rivets of 22 mm diameter at a pitch of 50 mm in both direction on either side of the plate. Two cover plates of 10 mm thickness are used. The capacity of the joint in tension (in kN) with permissible bearing and shearing stresses as 300 MPa and 100 MPa respectively, is
A hydraulically efficient trapezoidal channel section has a uniform flow depth of 2m. The bed width (expressed in m) of the channel is
In a floating body I = Moment of inertia of water line area about the longitudinal axis, ⩝= Volume of displaced fluid, B = Centre of pressure, G = Centre of gravity and M = Metacentre. For stable equilibrium of this body
For a beam ABCD having three spans each of lengths 2 m, the rotation θB and θC are
Three uniform rods OA, OB and OC having the same length l, cross sectional area A and of the same material remaining in the same vertical plane support a load W at O as shown in figure. The magnitude of forces in the members OA, OB and OC respectively are
The cylinder and tube as shown in figure contains oil of specific gravity 0.85. For a gauge reading of 2.5 kg (f)/cm2, the total weight (in kN) of the piston and the slab placed on it is
If then the value where V is the closed region bonded by x = 0, y = 0, z = 0 and 2x + 2y + z = 4, is _____.
In the pre-tensioning method, which of the following statements are correct?
1) The tension in the concrete is induced directly by external force
2) Tension is induced in the tendons before concreting
3) Concrete continues to be in tension after pre-stressing
A steel bar of 4 m length and uniform cross-sectional area of 1200 mm2 is suspended vertically and loaded as shown in figure. The elongation of the bar will be [Take, E = 2.05 × 103 N/mm2]
From the particle-size distribution curve, the diameter of particle size corresponding to 10% finer, 30% finer and 60% finer are 0.16mm, 0.18 mm and 0.28mm respectively. Determine the three parameters namely D10, Cu & Cc required to classify the granular soils
The flexibility matrix of the following structure is a scalar multiple of
In a two dimensional stress analysis, the state of stress at a point is as shown below,
The magnitude of ' ' is
If the angularity number is 16, find the specific gravity of aggregates if their weight in a cylinder of volume 3000 cc is 4070 gm.
A 2.0 diameter circular culvert is flowing half full and the flow is in critical state. The flow (in m3/s) in the culvert barrel is
Water flows at a steady and uniform depth of 2m in an open channel of rectangular cross section having base width of 4m and laid at a slope of 1 in 10000. If it is desired to obtain critical flow in the channel by providing a hump in the bed. Take Manning’s coefficient = 0.01. Calculate the height of hump (in meters) required for the critical flow
An orifice having a diameter of 10cm discharging water and the venacontracta formed has a diameter of 9cm. If the coefficient of velocity is 0.96, then what is the coefficient of discharge?