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In the adjoining figure AE || CD and BC || ED, then find y:

Step III of an Input: bond 86 goal 12 33 like high 46

Which of the following will be the step VII?

A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed then the inlet pipe fills the empty tank in 8 hours. If the outlet pipe is open then the inlet pipe fills the empty tank in 10 hours. If only outlet pipe is open then in how many hours the full tank becomes half-full?

From a deck of 52 cards, two cards are being chosen with replacement. What will be the probability of the first one being the black and second one being red?

If $\alpha +\beta =\frac{\pi }{2}$ and $\beta +\alpha =\alpha$, then $tan\alpha equals$

Input:silk 51 37 now for 70 49 gown

Which of the following step will be the last but one?

What is X's house number?

In a row of boys facing the North, M is 17${}^{th}$ from the left end and P is 17${}^{th}$ from the right end. L, who is 5${}^{th}$ to the right of M, is 6${}^{th}$ to the left of P in the row. How many boys are there in the row?

$x^3-14x^2+45x=0,findtheproductoftherootsoftheequation.Ans.$_____________.

The population of a town was 3600 three years back. It is 4800 right now. What is the rate of growth of population, if it has been constant over the years and has been compounding annually?

Statement: Parents are prepared to pay any price for an elite education to their children.

Conclusion:

I. All parents these days are very well off.

II. Parents have an obsessive passion for perfect development of their children through good schooling.

Q. RBI publishes figures for four alternative measures of money supply, viz. $M1,M2,M3$ and M4. Arrange them in decreasing order of their liquidity:

Rectify the following errors and ascertain the amount of difference in trial balance by preparing a suspense account.

(a) Credit sales to Mohan Rs. 7,000 were not posted.

(b) Credit purchase from Rohan Rs. 9,000 were not posted.

(c) Goods returned to Rakesh Rs. 4,000 were not posted

(d) Goods returned from Mahesh Rs. 1,000 were not posted.

(e) Cash paid to Ganesh Rs. 3,000 was not posted

(f) Cash sales Rs. 2,000 were not posted.

The total price of 10 books is Rs. 120 while the average price of 8 of these books is Rs.11.75. Of the remaining two books, if the price of one book is 40% more than the price of the other, the price difference between these two books is nearly:

To pass to the next level (Batch A) in a school's sports team, students in the intermediate batch (Batch B) at Premier High School have to pass both a written and a practical test. Everyone has to take the tests, and no one failed both tests. If 30% of the students of Batch B who passed the written test did not pass the practical, how many Batch B students at Premier High School go to Batch A?

(1) There are 188 Batch B students at Premier High School.

(2) 20% of the Batch B students who passed the practical test failed the written test.

A computer is on sale for $2400,whichisa40$) ?

Consider the following demand and supply functions for a good.

Quantity demanded = 160 - 2p

Quantity supplied = - 40 + 2p

(i) Calculate the equilibrium price and quantity.

(ii) Find out a price at which there is excess demand.

(iii) Find out a price at which there is excess supply.

A ladder is inclined to a wall making an angle of ${30}^{\circ }$ with it. A man is climbing the ladder at the rate of 2 m/s. How fast is he approaching the wall?

In each question, three statements showing relationships have been given, which are followed by two conclusions I and II. Assuming that the given statements are true, find out which conclusion(s) is/are definitely true.
Statements : N ? S, S P, P pounds M
Conclusions
I. S M
II. P c N

In a group of 100 girls, each has to opt for one or more of the three hobby classes: Music, Cooking and Stitching. The number of students who opted for Stitching is more than the number of those who opted for Music which is more than the number of those who opted for Cooking which is more than the number of those who opted for exactly two of the three hobbies, which in turn is more than those who opted for all three hobbies. It is known that at least one student opted for all the three hobbies.
What is the maximum number of girls who opt for only Music Classes?

Vignesh says "Harmonic mean of two numbers can be greater than the arithmetic mean of the same" .So he chooses two numbers a, b such that a = -b. Did he prove his statement?

The length of a minute hand of a wall clock is 10.5 cm. The area swept by it in 10 minutes would be -

In which standard is the difference between the number of girls and boys who passed the examination the maximum?

Study the following information carefully and answer the given questions:
A word and number arrangement machine when given an input line of words and numbers rearranges them following a particular rule in each step. The following is an illustration of the input and the rearrangement which the machine follows. (All the numbers given in the arrangement are two digit numbers).
Input: gone over 35 69 test 72 park 27
Step I: 27 gone over 35 69 test 72 park
Step II: 27 test gone over 35 69 72 park
Step III: 27 test 35 gone over 69 72 park
Step IV: 27 test 35 park gone over 69 72
Step V: 27 test 35 park 69 gone over 72
Step VI: 27 test 35 park 69 over gone 73
Step VII: 27 test 35 park 69 over 72 gone
And Step VII is the last step of rearrangement of the above input as the desired arrangement is obtained.
As per the rules followed in the steps, find out in each of the following questions the appropriate step for the given input.

Input: 86 open shut door 31 49 always 45
How many steps will be required to complete the rearrangement?

The imports were minimum, proportionate to the exports of the company in the year :

Which bank has the highest number of employees ?

In the given figure BC is parallel to DE and it joins the midpoints of the respective sides, find the ratio of the area of $\Delta$ADE to area of $\Delta$ABC.

The correct response for which of the questions can be determined?

Six friends A, B, C, D, E, AND F bought one article each with article number 8954SsdGHhf124c, 8954SsdGHhf134c, 8954SsdGHhf164c, 8954SsdGHhf174c, 8954SsdGhhf124c, 8954SsdGHhk124c.

A works in company XY

B does not work in works in company ST OR TK

C works in company FK

D works in company PN

E does not work in company YZ OR TK

F does not works in company YZ OR ST. The employee ids of A, B, C, D, E, and F are T&L2015000824ASG2311, T&L2015000824ASG2311, T&L2015000824ASG2311, T&L2015000824ASG2311, T&L2015000824ASG2311, T&L2015000824ASG2311 respectively , and the social security numbers are ZXFTV1265, ZXFTV1395 ZXPTV1295, ZYFTV1261, ZXFUV1235, ZXFTW1285.

Companies XY, PN, and TK provide same salary of 18000 but increment of 10% if the employee has spent more than one year in the company. YZ provides 15000, FK provides 17000, and ST provides 13000 to its employees irrespective of how old the employees are.

If B,E and F have been in the same company for over an year. Which one of the following gives the correct information of the person who bought article number 8954SsdGHhf174c?

A vendor has a certain number of frames. If he sells each of the them at Rs. 7, he gains Rs.20 on the whole, while if he sells them at Rs.8.50 each, he gains Rs.80 on the whole. At what price has he bought all the frames?

In the following number series, a wrong number is given. Find the wrong number.
21, 455, 445, 465, 435, 485, 415, 475

Find the sum of the series $N=\frac{1}{3}+\frac{1}{15}+\frac{1}{35}.........100$ terms.

The number of two digit even numbers that can be formed using the digits 3,4,5,6,7 where the digits can be repeated is

Statements: Y © S, S $\delta$ R, R * Q
Conclusions:
I. Q S
II. Y * R

In a class of 60, where number of girls are twice the number of boys, Kamal is ranked 17${}^{th}$ from the top. If there are 9 girls ahead of Kamal, how many boys are ranked after him?

PT is a tangent to the circle O. The value of `x' is -

The given question consists of a set of statements. Find out whether the data provided in the statements are sufficient to answer the question and then mark the appropriate option.

What is the speed of the bullet train?

I. The train crosses a lamp post in 26 seconds.

II. The train crosses a platform of length 500 metres in 54 seconds.

III. The train crosses another train running in the same direction in 64 seconds.

Which institute has the highest percentage of the number of candidates passed to the number of candidates enrolled?