IMO - Mock Test...

Which of the following numbers comes next in the series?

7, 11, 8, 12, 9, 13, .......

In the morning, Tom started walking in the direction opposite to the Sun. After covering a distance of 10 km, he took right turn and covered a distance of 5 km. Then, he took a right turn and covered another 10 km. In which direction is Tom now from the starting point?

Find the missing pair of letters in the given question.

DGH : FCN :: MHG : _____

Complete the series.

1, 8, 27, 64, 125, ?

If PREPARE is coded as RPGNCPG, then REMEMBER should be coded as

Directions: Rearrange the following letters to make a single word and then choose the category to which it belongs?

NABAAN

Directions: Find the number to replace the question mark, if the same rule is followed in the three figures.

Complete the pattern.

56, 49, ?, 35, ?, 21, 14

'Able' is related to lbea and Dust is 'sutd'. Base is related to 'saeb' in the same way as 'Feet' is related to

How many lines are required to make this shape?

The following Venn diagram represents the number of students who scored grades A, B and C in the first semester of their college.

How many students scored grade A and grade B, altogether?

Directions: Arrange the given words in the sequence they occur in the dictionary and then choose the correct sequence.

1. Welfare
2. Weigh
3. Weekend
4. Western
5. Wedding

Which of the following statements is true if '%' stands for 'x' , '@' stands for '÷', '$' stands for '-' and '&' stands for '+'?

A man walks 30 m towards South, turns right and walks 20 m. He then turns left and walks 30 m. How far is he from the starting point?

Directions: Study the following information carefully and answer the given question.

10 friends A, B, C, D, E, M, N, O, P and Q are sitting in two rows (with equal number of persons in each row) facing each other. A, B, C, D and E are facing South but not necessarily in same order, whereas M, N, O, P and Q are facing towards North direction but not necessarily in same order. E is sitting opposite O. C, N and A are sitting on the extreme ends of their respective rows. B and Q are sitting opposite each other. E is sitting third to the right of A. P is sitting second to the left of N. D is sitting exactly between E and B.

What is the position of O with respect to Q?

Which of the following are the coordinates of mid-point of line segment joining A(4, 6) and B(8, 4)?

Directions: Find the difference between the 8^th and 6^th term of the series.

20, 25, 30, .....

Find the first term of the series whose seventh term is 75 and whose tenth term is 111.

Find the common root for the quadratic equations x² + 7x + 12 = 0 and 2x² + 7x + 3 = 0.

Solve the equation for roots
x² + 3x + 1 = 0

Simplify .

Amin has a right angled triangular garden as shown in the picture.


What is the length of side m (in feet)?

If x = 3, then find y.

What is the value of the given expression?
(cot⁴ x - cosec⁴ x + cot² x + cosec² x)

If cos⁴ x - sin⁴ x = , then the value of (2cos² x - 1) is

A jar contains 48 marbles, some are red and others are yellow. If a marble is drawn at random from the jar, the probability of getting a red marble is . Find the number of yellow marbles in the jar.

A dice is thrown once. What is the probability of getting a prime number?

The angles of a quadrilateral are in ratio 5 : 8 : 4 : 7. Find all the angles of the quadrilateral.

What is the measure of ∠G?

If mode = 90 and median = 110, then mean is

In a shop, 20% of the fruits are apples. 50% of the remaining fruits are bananas and 30% of the remaining fruits are grapes. The remaining 6300 fruits are of a different type. What is the total number of fruits in the shop?

If the area of a rectangle and that of a square are equal and the length of the rectangle is bigger than its width by 6 cm, then what is the length of the side of the square if the width of the rectangle is 30 cm?

What is the value of ?

In the figure, O is the centre of the circle, AB is the chord of the circle, EF is the diameter of the circle and angle ACB = 40°. If angle OBA measures 40°, find the value of angle OAB.

Find the number if the difference between the number and ^rd of the number is 80.

At Downtown Burger, cheese burgers and chicken burgers are available. 6 of the last 12 customers wanted cheese burgers. What is the probability that the next customer will also want a cheese burger?

Months ago, a store purchased a chalkboard and priced it at Rs. 8000. The store needed to clear out space, so the manager decided to sell the chalkboard at 45% of the marked price. If Ellie, who earns a 7% commission on the sale price, sold the chalkboard, then how much commission did she make?

There are 247 men and 156 women in HDFC bank headquarters. The bank's Chairman wants to divide employees in two sections such that a section can have only men bankers or only women bankers. If each section has same number of bankers in a row and the Chairman wants to have as few rows in each section as possible, then find the number of rows in HDFC bank headquarters.

The present ages of Virat and Rohit are in the ratio of 2 : 3 respectively. Four years from now, the ratio of their ages will be 3 : 4. What is Rohit's present age?

How many containers can be filled with cement having weight of kg if the container has a capacity of kg?

A pipe can fill a tank in 10 minutes, while a leak present in the tank can empty it in 25 minutes. Unaware of the leak, the owner opens the pipe to fill the tank. After a few minutes, he seals the leak and the pipe fills the rest of the tank in 6 minutes. Find the total time taken to fill the tank.

Chetan brought 150 chocolates and distributed them among his two best friends Mike and Peter. Mike got 16% more chocolates than Peter. The ratio of the chocolates present with Mike and Peter is

Age of three brothers P, Q and R is in the ratio 3 : 1 : 5, respectively. After 5 years, P will be twice as old as Q. How many years was P younger to R five years ago?

A builder decides to fill the floor of a bed room using designer tiles costing Rs. 70 each. Each tile is a square and the dimension of the bed room is 6 m × 4.40 m. What was the minimum cost incurred while flooring the bed room?

A crow comes and drinks water from a mud pot after every 30 minutes. It starts coming from 11 am onward till 5 pm. How many times will it come to drink water in a week?

In the given figure, PA = PB. Find APB.

In ABC, DE || BC. What can be the possible value(s) of x?

Which of the following statements is true?

Statement 1: A tangent to a circle is perpendicular to the radius at the point of tangency.
Statement 2: The perpendicular from any point in the interior of the circle to the chord bisects the chord.

Fill in the blanks.

1. The centre of the circle lies in _______ of the circle.
2. A point whose distance from the centre of the circle is greater that its radius lies in ______ of the circle.
3. The longest chord of the circle is the ______ of the circle.

In a cricket match, a batsman hits a boundary 8 times out of 40 balls he plays. Find the probability of not hitting a boundary.