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A rectangle is drawn so that none of its sides has a length greater than 'x'. all lengths lesser than 'x' are equally likely. The chance that the rectangle has its diagonal greater than 'x' is (in %)?

If E = 5 and HOTEL = 12, how will you code WORD?

Let x be a prime number such that $x\ge 23$. Given that y= x!+1. The number of primes in the list y+1, y+2, y+3...y+x-1 is?

Let ABC be a right-angled isoscles triangle with hypotenuse BC. Let BQC be a semi-circle away from A, with diameter BC. Let BPC be an arc of a circle centered at A and lying between BC and BQC. If AB has length 6 cm then the area, in sq cm, of the region enclosed by BPC and BQC is

One of the employee named Aneek scored 185 points. Which of the following CANNOT be true?

The number of candidates who qualified the test from zone R in the year 2010 was approximately what percentage of the number of candidates who appeared from zone Q in the year 2008?

Who among the four was the last to reach the cinema hall?

Find the number of squares in the given figure

If the sixth batch of the day is ‘from dish no life gloom but’, which of the following would be the first three words of the code of the third batch of that day?

In a class, among the passed students, Amisha is 22${}^{nd}$ from the top and Sajal, who is 5 ranks below Amisha, is 34${}^{th}$ from the bottom. All the students from the class have appeared for the exam. If the ratio of the students who passed the exam to those who failed is 4:1 in that class, how many students are there in the class?

The king took a glass filled with red wine and drank $\frac{1}{5}$ of its contents. When the king looked away, the court jester refilled the glass by adding water to the remaining red wine and then stirred it. The king drank $\frac{1}{4}$ of this liquid mixture. When the king looked away again, the court jester refilled the cup with more water and stirred it. The king then drank $\frac{1}{3}$ of this liquid mixture. When the king looked away for the third time, the court jester refilled the cup with more water. What percent of this final mixture is red wine?

Three boys and five girls together can finish a job in 3 days. Working on the same job 3 girls take 5 days more than the time required by 2 men. What is the ratio of efficiency of a boy to a girl?

In the given figure, $AB||CD,\angle ALC={60}^{\circ }$, EC is the bisector of $\angle LCDandEF||AB$. Then, find the measure of $\angle CEF$.

A set S of real values consists of the following 5 elements, {4, 8, 12, 16, x} in any order. For how many values of x does the mean of set S equal the median of set S?

Compare business with profession

In $\Delta ABC,AB=8,AC=6,$ Altitude AD = 4.8. AE is the diameter of the circumcircle. Find the circumradius.

The average age of all the 100 employees in an office is 29 years, where $\frac{2}{5}$ employees are ladies and the ratio of average age of men to women is 5 : 7. The average age of female employees is:

A piece of paper is in the shape of a square of side 1 m long. It is cut at the four corners to sides of regular polygon of eight sides (octagon). The area of the polygon is

Details of the number of students applying for CET for engineering

ber of students who appeared for the exam as a % of the total no of students who applied for the exam


Note: Number of students who secured admission in 1993-94 is 4000.

In which year was the total number of students who applied for the exam the highest, during the period 1994-95 to 1999-2000

Study the table carefully to answer the questions that follow.
Maximum and minimum temperature (in degree Celsius) recorded on 1st day of each month of five different cities
$\begin{array}{ccccccccccc}\to Cities& Bhuj& & Sydney& & Ontario& & Kabul& & Beijing& \\ \to Temperature& Max& Min& Max& Min& Max& Min& Max& Min& Max& Min\\ \downarrow Months& & & & & & & & & & \\ 1stSeptember& 24& 14& 12& 2& 5& 1& 34& 23& 12& 9\\ 1stOctober& 35& 21& 5& -1& 15& 6& 37& 30& 9& 3\\ 1stNovember& 19& 8& 11& 3& 4& 0& 45& 36& 15& 1\\ 1stDecember& 9& 2& -5& -9& -11& -7& 31& 23& 2& -3\\ 1stJanuary& -4& -7& -11& -13& -14& -19& 20& 11& 5& -13\end{array}$

What is the average maximum temperature of Beijing over all the months together?

Q76. A boat goes 6 km in an hour in still water, but it takes thrice as much time in going the same distance against the current. The speed of the current (in km / h) is:

Read the following information carefully to answer the given questions:

V, U and T are sitting around a circle. A, B and C are sitting around the same circle but two of them are not facing centre (they are facing the direction opposite to centre). V is second to the left of C. U is second to the right of A. B is third to the left of T. C is second to the right of T. A and C are not sitting together.

What is the position of A in respect of U?

Q13. Consider the following statements about Special Mention Account:

1. Before a loan account turns into an NPA, banks are required to identify incipient stress in the account.

2. SMA-0 is an account in which principal or interest payment not overdue for more than 30 days but account showing signs of incipient stress.

Which of the following statements are correct?

Let P be any point outside the circle with center O and the tangent drawn from P meets the circle at T. The line drawn from P meets the circle at A and B, if PA = 8 m and AB = 9 m find the length of PT.

Consider the following statements about Geographical Information Systems (GIS):

1. It handles attributes data on a technical base.

2. It can draw maps and other graphics with great ease and speed.

3. It is a slow and tedious task involving creation of GIS data base.

4. It works only in combination with remote sensing data.

5. It can analyze data for specified task and thus help decision making

Which of these are correct?

The total amount of money spent on the purchase of pencils, rubbers and pens is Rs. 45. The cost of one pencil, one rubber and two pens is Rs. 2, Rs. 3 and Rs. 8 respectively. The total number of pencils bought is greater and less than the number of pens and the number of rubbers bought respectively. How many different combinations of the number of pencils, rubbers and pens bought are possible?

The mid points of an equilateral triangle of side 10 cm are joined to form a triangle. What type of triangle is obtained by joining the mid points ?

Choose the most appropriate answer based on the following question.

The Simple Interest on a sum of money is Rs. 100. What is the sum?
I. The interest rate is 25% p.a.
II. The sum earned is Simple Interest in 15 years

How many integral solutions are there to a + b + c = 18 where $a\ge 1,b\ge 2,andc\ge 3$?

Following is the step II for an input. What will be the first step for the input?

Step II: 618 512 28 142 38 65 366

In the above structure what is the probability that the letters of the word ‘MEGHA’ be placed such that no rows or no column remains empty?

The base of a pyramid is a rectangle 40 m long and 20 m wide. The slant height of the pyramid from the mid-point of the shorter side of the base to the apex is 29 m. What is the volume of pyramid?

In the given figure, CD is a direct common tangent to two circles intersecting each other at A and B, then $\angle CAD+\angle CBD=$?

The number of 5 digit telephone numbers having at least one of their digits repeated is? (0 can be the starting digit of the number)

Study the following information carefully and answer the questions below.

A team of five is to be selected from amongst five boys A, B, C, D and E and four girls P, Q, R and S. Some criteria for selection are—

Unless otherwise stated, these criteria are applicable to all questions below.

Q67. If A and C are the members, the other members of the team cannot be—

Study the following information carefully and then answer the question given below it. A word and number arrangement machine when given on input line of words and numbers rearranges them following a particular rule in each step. The following is an illustration of input and rearrangement.

Input ‘past back 32 47 19 own fear 25’
Step I 19 past back 32 47 on fear 25
Step II 19 past 25 back 32 47 own fear
Step III 19 past 25 own 32 back 47 fear
Step IV 19 past 25 own 32 back 47 fear
Step V 19 past 25 own 32 fear back 47
Step VI 19 past 25 own 32 fear 47 back
And Step VI is the last step.
As per rules followed in above steps, find out in each of the following questions, the appropriate step for the given input.

Step II of an input is 27 ultra open case 45 35 now 12 which of the following is definitely the input

How many numbers (N) can we have, such that 100<N<1000 with the sum of the digits of these numbers as 10?

In the following figure, PQ is the diameter of the circle with centre O and QR is the tangent to the circle at Q.
PR intersects the circle at S and the tangent to the circle as S intersects QR at T. If the diameter of the circle is 20 cm and TR=6 cm, find the approximate length of the line segment PR.

If x % of y is the same as $\frac{3}{4}$ of 20, then the value of xy is

Which of the following represents the graph of $e^{-x^2}$ :

What is Elizabeth's total score in the campus recruitment test?

A, B and C play cricket. A's runs are to B's runs and B's runs are to C's as3:2. They get altogether 342 runs. How many runs did A make?