where a, b, n and m are natural numbers. What is
the value of
For non-negative integers, a, b, c, what would be the value of a + b+ c if log a + log b + log c = 0 ?
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A three-member committee has to be formed from a group of 9 people. How many such distinct committees can be formed?
“Although it does contain some pioneering ideas, one would hardly characterize the work as ____________.” The word that best fills the blank in the above sentence is
“His face _________ with joy when the solution of the puzzle was ________ to him.” The words that best fill the blanks in the above sentence are
A faulty wall clock is known to gain 15 minutes every 24 hours. It is synchronized to the correct time at 9 AM on 11th July. What will be the correct time to the nearest minute when the clock show 2 PM on 15th July of the same year?
Given that 10 for x ≠ y ≠ z, what is the value of the product PQR ?
In manufacturing industries, loss is usually taken to be proportional to the square of the deviation from a target. If the loss is Rs. 4900 for a deviation of 7 units, what would be the loss in Rupees for a deviation of 4 units from the target?
The annual average rainfall in a tropical city is 1000 mm. On a particular rainy day (24 -hour period), the cumulative rainfall experienced by the city is shown in the graph. Over the 24-hour period, 50% of the rainfall falling on a rooftop, which had an obstruction-free area of 50 m2, was harvested into a tank. What is the total volume of water collected in the tank in liters?
Each of the letters in the figure below represents a unique integer from 1 to 9. The letters are positioned in the figure such that each of ( A + B + C) , (C + D + E) , (E + F+ G) and (G + H+ K ) is equal to 13. Which integer does E represent?
The clay mineral, whose structural units are held together by potassium bond is
A structural member subjected to compression, has both translation and rotation restrained at one end, while only translation is restrained at the other end. As per IS 456 : 2000, the effective length factor recommended for design is
For a given discharge in an open channel, there are two depths which have the same specific energy. These two depths are known as
Dupuit’s assumptions are valid for
A vertical load of 10 kN acts on a hinge located at a distance of L /4 from the roller support Q of a beam of length L (see figure).
The vertical reaction at support Q is
Peak Hour Factor (PHF) is used to represent the proportion of peak sub-hourly traffic flow within the peak hour. If 15-minute sub-hours are considered, the theoretically possible range of PHF will be
A fillet weld is simultaneously subjected to factored normal and shear stresses of 120 MPa and 50 MPa, respectively. As per IS 800 : 2007, the equivalent stress (in MPa, up to two decimal places) is ___________
As per IS 456 : 2000, the minimum percentage of tension reinforcement (up to two decimal places) required in reinforced-concrete beams of rectangular cross-section (considering effective depth in the calculation of area) using Fe500 grade steel is __________________.
A reinforced-concrete slab with effective depth of 80 mm is simply supported at two opposite ends on 230 mm thick masonry walls. The centre-to-centre distance between the walls is 3.3 m. As per IS 456 : 2000, the effective span of the slab (in m, up to two decimal places) is _________.
Probability (up to one decimal place) of consecutively picking 3 red balls without replacement from a box containing 5 red balls and 1 white ball is _________
The contact pressure and settlement distribution for a footing are shown in the figure.
Q. The figure corresponds to a
A culvert is designed for a flood frequency of 100 years and a useful life of 20 years. The risk involved in the design of the culvert (in percentage, up to two decimal places) is ___________
Which one of the following statements is NOT correct?
The initial concavity in the load-penetration curve of a CBR test is NOT due to
As per IS 10500:2012, for drinking water in the absence of alternate source of water, the permissible limits for chloride and sulphate, in mg/L, respectively are
The quadratic equation 2x2 − 3x + 3 = 0 is to be solved numerically starting with an initial guess x0= 2.The new estimate of x after the first iteration using Newton-Raphson method is _____
The setting time of cement is determined using
A flownet below a dam consists of 24 equipotential drops and 7 flow channels. The difference between the upstream and downstream water levels is 6 m. The length of the flow line adjacent to the toe of the dam at exit is 1 m. The specific gravity and void ratio of the soil below the dam are 2.70 and 0.70, respectively. The factor of safety against piping is
The solution of the equation passing through the point (1,1) is
The graph of a function f (x ) is shown in the figure.
For f (x ) to be a valid probability density function, the value of h is