IMO - Mock Test...

Which number will replace '?' in the given series?

91, 119, 147, 175, ?

If in a certain code, COLD is written as OCDL, then KEPT will be written as

Which of the following numbers will replace the question mark (?) in the first figure of triangle?

Paul starts from point A and walks 200 m towards right, and takes a left turn and walks another 600 m. From that point, he again turns left and walks another 800 m. Paul's wife Candida starts from point A and walks 100 m towards west. From that point, she turns right and walks another 600 m. What is the distance between both of them?

Choose the alternative that closely resembles the water image of the given combination of letters and numbers.

Find out the total number of triangles in the figure given below.

If in a certain language, 'how' means '+', 'you' means '-', 'are' means '÷', and 'today' means '×', then what will be the answer of the equation given below?

20 how 10 are 5 you 4 today 2

Which of the following will give you the eighth letter from the left, if the letters of the given word are arranged in reverse alphabetical order?

ENCOURAGE

Which of the following numbers will logically replace the question mark in the given number series?

4, 27, 16, 125, 36, ?

What would be the next combination in the given series?

A2C, E4G, I6K, ?

Which of the following Venn diagrams shows the relationship between scanners, input devices, and output devices?

Which number lies in the circle and triangle but not in the rectangle in the figure given below?

Thomas was ranked 5^th from the top and 40^th from the bottom in a class. How many students are there in the class?

Arrange the words given below in a meaningful sequence:

1. Seed
2. Wood
3. Plant
4. Table
5. Tree

If '÷' means '+', '×' means '-', '-' means '÷', and '+' means '×', then what will be the value of the following expression?

48 - 6 + 8 × 2 ÷ 10

What will be the 45^th term, if an A.P. consists of 73 terms, and the first and the last terms be 9 and 297?

In a flower bed, there are 40 roses in the first row, 38 roses in the second row, 36 roses in the third row, and so on. If there are 12 roses in the last row, how many rows are there in the flower bed?

Find the value of: tan²45° cos²30° + cos²45° sin²30°.

What is the measure of ∠I, if IJ is the diameter of the given circle?

Find x, if = 5.

Find the sum (S) and the product (P) of the roots of the quadratic equation x² + 4x + 3 = 0.

Find the sum of all numbers between 100 and 500 which are divisible by 8.

If the mean of first 5 observations is 7 and the mean of first 6 observations is also 7, then the 6^th observation is:

One end of a line is (3, 4). Find the other end, if its midpoint is (4, 5).

When a certain positive number is increased by 16 and squared, then the resulting number is 368 more than twice the square of the number. Which of the following is the possible value of the number?

In the figure given below, if PA = PB, then find ∠AOB.

The sides of a triangle have lengths 6 units, 8 units, and 12 units. What kind of triangle is it?

Which of the following options is the same as (x + 7)² – 6(x + 7) + 9?

What is the greatest integer 'k' for which the roots of the equation x² – kx + 20 = 0 are imaginary?

If two complementary angles are in the ratio 6 : 9, then the measure of the largest angle is

Find the value of x and y from the following equations:

x - 3y = 8
2x - 5y = 4

If degree of p(x) = 4, and degree of q(x) = 4, then what can be the sum of the possible values of degree of p(x) + q(x)?

Find the value of k, if x - 1 is a factor of 4x³ + 3x² - 4x + k.

Deepika has 27 coins. She finds p more coins from her drawer. Priyanka has double the number of coins Deepika has now. Choose the expression that shows the total number of coins they both have altogether?

A certain number of elephants and an equal number of men are going somewhere. Half of the owners are on their elephant's back while the remaining are walking along leading their elephants. If the number of legs walking on the ground is 80, how many elephants are there?

A gold ornament is of cylindrical shape. Its diameter is 16 cm and height is 2 cm. A goldsmith decides to melt that cylindrical ornament and make 12 spherical ornaments of same size. What will be the diameter of each of the spherical ornaments thus formed?

In a box, there are red, blue, green and black balls. The number of blue balls is 15, number of black balls is 17 and number of red balls is 19. If the total number of balls in the box is 72 and one ball is drawn at random, then what is the probability that it is the green ball?

Arnav purchased an article for Rs. 5,000 and he decided to raise its price by 50%. After one month, he decided to sell it for 30% off. What was the price after discount?

An electronics vendor purchases the electric bulbs at a cost of Rs. 10 and sells them at a price of Rs. 32. What is percentage increase?

A lot consists of 100 ball pens out of which 10 are defective and the others are good. Harry will buy a pen if it is good, but will not buy if it is defective. The shopkeeper draws one pen at random and gives it to him. What is the probability that he will buy it?

From the information counter, I get to know that flight to Delhi leaves every 6 hours. Also, I learn that the last flight took off 50 minutes before. If the time now is 11:15 a.m, then what time will be the next flight?

A store pays Rs. 488 for a sewing kit. The store marks-up the price by 35%. What will be the new price?

If 10 pencils and 8 pens together cost Rs. 90, while 8 pencils and 7 pens together cost Rs. 78, then find the cost of one pen.

Profit obtained on selling a mixer for Rs. 56 is the same as the loss incurred on selling it for Rs. 42. What is the cost (in Rs.) of the mixer?

Peter bought a total of 20 thumb pins, some of which cost $0.25 each and some of which cost $0.15 each. If Peter spent $4.20 to buy these pins, how many pins of each type did he buy?

Directions: The following question has four choices, out of which ONLY ONE is correct.

Let ABCD be a quadrilateral with area 18 sq. units with side AB parallel to side CD, and AB = 2CD. Let AD be perpendicular to AB and CD. If a circle is drawn inside the quadrilateral ABCD touching all the sides, then its radius will be

Weights of 8 students of a class are: 36.5 kg, 34.5 kg, 42.8 kg, 40.6 kg, 38.6 kg, 36.9 kg, 40.5 kg and 39.0 kg
Which of the following options is correct?

Statement I - Median of the given data is 38.67 kg.
Statement II - Range of the given data is 8.3 kg.

Fill in the blanks:

1. An arc is a _____ when its ends are the ends of a diameter.
2. Segment of a circle is the region between an arc and ______ of the circle.
3. A circle divides the plane, on which it lies, in ______ parts.

The area of triangle LMN is 120 square units. The shaded and unshaded regions have equal areas. If the area of triangle MVU is 1/3^rd the area of triangle LMN, and the area of triangle LWX is 1/4^th the area of triangle LMN, then find the area of quadrilateral ABCD. (Note: The figure is not drawn as per the scale.)

The number of real roots of = 9 is