A circle drawn in the x-y coordinate plane passes through the origin and has chords of lengths 8 units and 7 units on the x and y axes, respectively. The coordinates of its centre are

The probability that a ticket less traveler is caught during a trip is 0.1. If the traveler makes 4 trips, the probability that he/she will be caught during at least one of the trips is.

The statement : “The father of my son is the only child of your parents”

The base diameter of a glass is 20% smaller than the diameter at the rim. The glass is filled to half the height. The ratio of empty to filled volume of the glass is

The number of diagonals of a convex deodecagon (12-gon) is

One is required to tile a plane with congruent regular polygons. With which of the following polygons is this possible?

Suppose three meetings of a group of 1 professors were arranged in Mumbai, Delhi and Chennai. Each professor of the group attended exactly two meetings. 21 professors attended Mumbai meeting, 27 attended Delhi meeting and 30 attended Chennai meeting. How many of them attended both the Chennai and Delhi meetings?

A wheel barrow with unit spacing between its wheels is pushed along a semi-circular path of mean radius 10. The difference between distances covered by the inner and outer wheels is

The missing number is

Decode
G    E     N     T     S    T    U
I      S     S    O     L    V    D
L     I       I     S     P    A    E
L     M    H     T     R    B    N
E     E    L     B     O    L    T
T     N     I     Y     B    E    S

During an evening party, when Ms. Black, Ms. Brown and Ms. White met, Ms. Bjown remarked, “It is interesting that our dresses are white, black or brown, but for each of us the name does not match the colour of the dress !”. Ms. White replied, “But your white dress does not suit you !”. Pick the correct answer.

Of all the triangles that can be inscribed in a semicircle of radius R with the diameter as one side, the biggest one has the area

A square pyramid is to be made using a wire such that only one strand of wire is used for each edge. What is the minimum number of times that the wire has to be cut in order to make the pyramid?

Identify the next figure in the sequence

In a customer survey conducted during Monday to Friday, of the customers who asked for child care facilities in supermarkets, 23% were men and the rest, women. Among them, 19.9% of the women and 8.8% of the men were willing to pay for the facilities
1. What is the ratio of the men to women customers who wanted child care facilities?
2. If the survey had been conducted during the weekend instead, how will the result change?
With the above data

The map given below shows contour lines which connect points of equal ground surface elevation in a region. Inverted ‘V’ shaped portions of contour lines represent a valley along which a river flows. What is the downstream direction of the river?

During a summer vacation, of 20 friends from a hostel, each wrote a letter to each of all others. The total number of letters written was

A person has to cross a square field by going from A to C. The person is only allowed to move towards the east or towards the north or use a combination of these movements. The total distance travelled by the person

A crow is flying along a horizontal circle of radius R at a height R above the horizontal ground. Each of a number of men on the ground found that the angular height of the crow was a fixed angle  (< 45°) when it was closest to him. Then all these men must be on a circle on the ground with a radius

How many pairs of positive integers have gcd 20 and 1cm 600?
(gcd = greatest common divisor; 1 cm = least common multiple)

The following diagram shows 2 perpendicularly inter-grown prismatic crystals (twins) of identical shape and size. What is the volume of the object shown (units are arbitrary) ?

Suppose in a box there are 20 red, 30 black, 40 blue and 50 white balls. What is the minimum number of balls to be drawn, without replacement, so that you are certain about getting 4 red, 5 black, 6 blue and 7 white balls?

In the growing years of a child, the height increases as the square root of the age while the weight increases in direct proportion to the age. The ratio of the weight to the square of the height in this phase of growth

Students in group A obtained the following marks : 40, 80, 70, 50, 60, 90, 30. Students in group B obtained 40, 80, 35, 70, 85, 45, 50, 75, 60 marks. Define dispersion (D) = (maximum marks – minimum marks), and relative dispersion (RD) = dispersion/mean. Then,

In 450 g of pure coffee powder 50 g of chicory is added. A person buys 100 g of this mixture and adds 5 g of chicory to that. What would be the rounded-off percentage of chicory in this final mixture?

Each of the following pairs of words hides a number, based on which you can arrange them in ascending order. Pick the correct answer :
I. Cloth reel
J. Silent wonder 
K. Good tone 
L. Bronze rod

Which of the following values is same as ?

A 12 m × 4 m rectangular roof is resting on four 4 m tall thin poles. Sunlight falls on the roof at an angle of 45° from the east, creating a shadow on the ground. What will be the area of the shadow?

If Here a, b, c and d are digits.Then a + b =

The maximum number of points formed by intersection of all pairs of diagonals of convex octagon is

Which letter in this alphabet is the eighth letter to the right of the letter and which is tenth letter to the left of the last but one letter of the alphabet ?

If the third alphabet of each of the words is changed to the next alphabet in the English alphabetical series, which of the following will form a meaningful English word?

If the given words are arranged in the order as they would appear in a dictionary from left to right, which of the following will be second from the right ?

If second alphabet in each of the words is changed to next alphabet in the English alphabetical order, how many words having two vowels (same or different vowels) will be formed ?

How many letters are there in the English alphabetical series between the second letter of the word which is second from the right and the second letter of the word which is second from the left of the given words?

If in each of the given words, each of the consonant is changed to previous letter and each vowel is changed to next letter in the English alphabetical series, in how many words thus formed will no vowels appear?

If the third alphabet in each of the words is changed to the next alphabet in the English alphabetical order, how many words having two vowels (same or different vowels) will be formed?

If the position of the first and the second alphabets of each of the words are interchanged, which of the following will form a meaningful English word?

If the given words are arranged in the order as they would appear in a dictionary from left to right, which of the following will be exactly in the middle of the five words?

If in each of the given words, each of the consonants is changed to previous letter and each vowel is changed to next letter in the English alphabetical series, in how many words thus formed will the same alphabet appear twice?

The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is:__________ ?

Which of the following numbers is irrational ?

356 x 936 – 356 x 836 = ?

Arrange in descending order: 5/8, 7/10, 3/4

What is (3^{^}{4} times 9^{^}{2}) ?

If 3⁴X^-2 = 729, then find the value of X.

Convert 0.6 into fraction ?

The no. plate of a bus had peculiarity. The bus number was a perfect square. It was also a perfect square when the plate numbers were reversed. The bus company had only five hundred buses numbered from 1 to 500. What was the number ?

If a and b are positive integers, such that ab = 125, then (a-b)^a+b-4 = ?

If x^*y = x² + y² – xy, then value of 9^*11 is