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If $P,Y$ and $Z$ are the weights of the cement, fine aggregates and coarse aggregates respectively and $W/C$ is the water cement ratio, the minimum quantity of water to be added to first batch, is obtained by the equation.

Surface x=0 separates two perfect dielectric with relative permittivities ${ϵ}_{r1}=2$ and ${ϵ}_{r2}=8$

If $\overrightarrow{E_1}=(100{\delta }_x+200{\delta }_y-50{\delta }_z)V/m$ for $x>0$ Then $\overrightarrow{E_2}$

The batching accuracy (in %) of water used for mixing concrete should be within:

Figures given below are changing with certain rules as we observe them from left to right:





According to this rule which of the following would be the next figure if the changes were made in the same rule?

There are 10 points and out of which 4 are collinear. How different triangle can be made using 10 points.

The grade of concrete M 15 means that compressive strength of a 15 cm cube after 28 days is :

1. 6.4

Two point charges $Q_1=10\mu Cand{Q}_2=20\mu C$ are placed at coordinates (1, 1, 0) and (-1, -1, 0) respectively. The total electric flux passing through a plane Z = 20 will be

An urn contains 25 balls numbered 1 to 25. Suppose getting an odd numbered ball is considered a 'success'. If two balls are drawn from the urn with replacement. Find the probability of getting no success.

If a number of two digits is formed with the digits 2, 3, 5, 7, 9 without repetition of digits, what is the probability that the number formed is 35?

In rolling two dices, find the probability that the sum is 5

The strength of a fully matured concrete sample is $500kg/c{m}^2$. When cured at an average temperature of ${20}^{\circ }C$ in day, ${10}^{\circ }C$ in night, datum temperature $T_0$, is $-{11}^{\circ }C$. If Plowman constants $A$ is $32$ and $B$ is $54$, the strength of identical concrete at $7$ days will be nearly :

The coarse sand has fineness modulus in the range of

1. 30

A transparent square sheet shown below is folded along the dotted line. The folded sheet will look like

The ratio of the number of boys and girls who participated in an examination is $4:3$. The total percentage of candidates who passed the examination is $80$ and the percentage of girls who passed is $90$. The percentage of boys who passed is ____.

Two conducting spheres S1 and S2 of radii a and b (b > a) respectively, are placed far apart and connected by a long, thin conducting wire, as shown in the figure.





For some charge placed on this structure, the potential and surface electric field on S1 are $V_{a}and{E}_a$, and that on S2 are $V_{b}and{E}_b$ respectively. Then, which of the following is CORRECT?

Which of the following equations represents the Gauss'law in a homogenous isotropic medium?

A box contains 15 blue balls and 45 black balls. If 2 balls are selected randomly, without replacement, the probability of an outcome in which the first selected is a blue ball and the second selected is a black ball, is _____.

List-I

A. For longitudinal reinforcement in columns of size 200 mm and less, with 12 mm diameter bars as longitudinal steel.

B. For longitudinal reinforcement in beams.

C. For longitudinal bars in slabs.

D. For longitudinal bars in columns of size more than 200 mm.

Lits-II

1. 40 mm or diameter of bar whichever is more

2. 15 mm or diameter of bar whichever is more

3. 25 mm or diameter of bar whichever is more

4. 25 mm

$\text{Codes:}$

$ABCD$

The probability that a k-digit number does NOT contain the digits 0, 5 or 9 is

The cost price of a shirt and trouser is Rs.371. If the shirt costs 12% more than the trousers, find the cost price of the trouser.

How many factors of

$N={12}^{12}\times {14}^{14}\times {15}^{15}$

are multiple of

$K={12}^{10}\times {14}^{10}\times {15}^{10}$

The bar graph shows the data of the students who appeared and passed in an examination for four schools P, Q, R and S. The average of success rates (in percentage) of these four schools is ________

Two trains started at 7AM from the same point. The first train travelled north at a speed of 80 km/h and the second train travelled south at a speed of 100 km/h. The time at which they were 540 km apart is____AM

A bag contains 4 white and 2 black ball and $2{}^{nd}$ bag contains 3 white and 5 black balls. If drawn from each bag, find the probability one is white and one is black.

The yield of concrete per bag of cement for a concrete mix proportion of $1:1.5:3$ (with adopting $\frac{2}{3}$ as the coefficient) is

The marked price of a table is Rs.1200, which is 20% above the cost price. It is sold at a discount of 10% on the marked price. Find the profit percent.

Mr. Vivek walks 6 meters North-East, then turns and walks 6 meters South-East, both at 60 degrees to East. He further moves 2 meters South and 4 meters West. What is the straight distance in meters between the point he started from and the point he finally reached?

If characteristic compressive strength at 28 days is $40N/m{m}^2$ and the standard deviation is $5N/m{m}^2$, the target strength at 28 days for concrete mix proportioning

1. 1

Pie Chart given below shows the expenditure incurred in bringing out a book by a publisher





Study the graph carefully and answer the question given below:



What is the central angle of the sector for the cost of the paper?

The area of a square is d. What is the area of the circle which has the diagonal of the square as its diameter?

A shopkeeper bought 240 chocolates at Rs.9 per dozen. If he sold all of them at Rs.1 each, what was his profit percent?

A bag contains four black and five red balls. If three balls from the bag are chosen at random, what is the chance that they are all black?

Consider the figures given below:





In the given sequence of figures, the figure that would logically appear at 5 is

A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a field trip. What is the probability that the group accompanying the teacher contains more girls than boys ?

1. 140

A husband and wife appear in an interview for two vacancies in the same post. The probability of husband's selection is 1/7 and that of wife's is 1/5. What is the probability that none of them will be selected?

1. 219.72

We have 2 rectangular sheets of paper, M and N, of dimensions $6cm\times 1cm$ each. Sheet M is rolled to form an open cylinder by bringing the short edges of the sheet together. Sheet N is cut into equal square patches and assembled to form the largest possible closed cube. Assuming the ends of the cylinder are closed, the ratio of the volume of the cylinder to that of the cube is ______.

A circular conductor of radius $r_o=1cm$ has an internal field,





$\overline{H}=\frac{{10}^4}{r_o}(\frac{1}{a^2}\sin a{r}_o-\frac{r_o}{a}\cos a{r}_o){\hat{a}}_{\varphi }\left(A/m\right)$



where, $a=\frac{\pi }{2r_0}$

If $\overrightarrow{E}=-(2y^3-3y{z}^2)\hat{x}-(6x{y}^2-3x{z}^2)\hat{y}+\left(6xyz\right)\hat{z}$ is the electric field in a source free region, a valid expression for the electrostatic potential is

White cement should have the least percentage of

1. 4

Consider the following figure 1, 2, 3 and 4





In the figure from 1 to 4 above, two symbols are shown to change their position in a regular direction. Following the same sequence, which one of the following will appear at the fifth stage?