IMO - Mock Test...

Directions: Find the next number in the following pattern. 22, 222, 2001, 16012, ?

Directions: Find out the number of triangles in the given picture.

Directions: Find out the incorrect term in the series.

45, 48, 43, 46, 49, 44

If SNAP can written as RLXL, then BOLD can be written as

C is the father of S, S is the sister of B, B is the brother of A, D is the daughter of A and E is the brother of D. How is B related to E?

Directions: Study the following figure and answer the question given below.



How many uneducated people are married?

If the letters of English alphabet are all written in a straight line, then which of the following letters is the 11^th letter from the left of the 20^th letter from the left?

V, P, T, L, J, M, Z and X are sitting in a restaurant around the round table facing the centre, not necessary in the same order. Z is sitting opposite T and V is sitting opposite J. X is sitting third to the left of T. X is sitting fourth to the right of L. M is sitting exactly between Z and J.

What is the position of P with respect to J?

Four friends are standing in the queue facing South. C is standing third to the left of A and B is between A and D. B is standing at which of the following positions?

Five girls participated in a dance competition. Raveena ranked lower than Savita. Veena was ranked higher that Dyna. Kimmy ranked exactly between Raveena and Veena.

Who was ranked the highest?

Rock goes for a walk and starts from point A, walks for 7 km towards South. He reaches point B and moves to the right side and walks for 14 km and reaches point C. From point C, he moves to the right side and walks for 7 km and reaches point D. Then, he moves to the right side and walks for another 4 km and reaches point E. What is the required distance to reach point A again?

The given image(X) is embedded in which of the following options?

Which of the following mirror images is correct?

Directions: Find the missing number on the same pattern as followed in the given figure.

If A denotes '', B denotes '', C denotes '' and D denotes '', then which of the following statements is true?

If 3a² = b² ≠ 0, then the value of is

If a + b + c = 0, then what is the value of ?

What will be the approximate diameter of a circle if the area of the circle is 1964.28 cm²?

Directions: Find the value of x.

A rectangular pyramid has height of 13 mm, length 18 mm and width 18 mm. What is the volume of this rectangular pyramid?

In the figure, the value of x would be

If a + b = - 4, what will be the value of a³ + b³ + 64?

In the given figure, K = 100° and L is the line which bisects K. Calculate angle KBG.

Ellie rolls a dice two times. What is the probability that the sum of numbers on the top face of each dice is more than 10?

The pie chart shows the percentage of people who play a certain game. What is the number of people playing table tennis if total number of people is 75000?

It is to be noted that all persons play 1 game only.

A test consists of 40 questions in all (logical reasoning and non-reasoning) and the total marks for this test are 200. The logical reasoning questions are worth 4 marks each and the non-reasoning questions are worth 6 marks each. How many logical reasoning questions are there in the test?

The sum of digits of a two-digit number is 10. If 18 is added to the number the digits are interchanged. Find the original number.

What is the value of the following expression?

Find the value of y in the given equation, if x = 2.

41x² + xy – 14.5x + 25 – 18xy = 0

In the given figure, PQ = PR and angle PRS is 115°. Find the value of ∠QPR.

Which of the following statements is true?

Find the area of an isosceles triangle if the perimeter of triangle is 30 cm and one of the equal sides is 12 cm in length.

If the product of abscissa and ordinate of a point is negative, then the point lies in which of the following quadrants?

Directions: Find the mean of the following.

x + 2, x + 4, x + 6, x + 8, x + 10, x + 12, x + 14

If 4x + 5y = 9 and x and y are positive integers, then y could be

The diameter of a circular floor design at Gagan's house is 4 m. Calculate the area of floor design.

If the volume of a given rectangular prism is 1,080 cubic metres, then what is the value of d?

In the following figure, triangle ACE is right angled at C. AC is the angle bisector. Find the measure of angle CAB.

Karan's teacher used a model of railway tracks and placed a stick in the middle to teach him how to find angles. Karan's teacher told them that QS and NP are parallel lines and angle POR is equal to 56°. What is the value of angle SRT?

Cassie already knew 3 starter recipes before starting culinary school and she will learn 1 new starter recipe during each week of the school. After 32 weeks of culinary school, how many total starter recipes will Cassie know?

First angle of a quadrilateral is 120°. If the measure of its other 3 angles is equal to each other, then find the value of any one of the other angles.

A piece of wood makes two triangles, ΔABC and ΔDEF on the edges of equal lengths such that AB = DE, BC = EF and AC = DF. If BAC = 60° and DFE = 45°, then what is the value of DEF?

PQSR is a quadrilateral. A, B and C are points on lines PR, PS and QS, respectively such that angle PAB is right angled triangle and angle CBS = 60°. What is the measure of angle APB?

There are 100 cards in a box numbered from 1 - 100. If one card is drawn at random, then what is the probability that the card number is a multiple of both 2 and 6?

Tripit has a kite which has been labelled and two of its angles have been measured. Now, he wants to compute angle D. What would be the measure of angle D?

Richard and his family are at the pet store getting supplies for a their cat. The pet store has 2 kinds of type-1 dishes and 4 kinds of type-2 dishes. If they get one of each item, then how many different combinations of supplies can Richard's family get?

A rectangular park has a rectangular gymnasium built inside. The dimensions of the park are 20.5 m and 24.4 m and the dimensions of the gymnasium are 13.2 m and 11.1 m. Calculate the area of the remaining part of the park.

Directions: Select the correct match.

Let g(x) =

In the given figure, P, Q, R and S are four points on a circle. PR and QS intersect at a point T such that ∠PTQ = 130° and ∠RQT = 15°. Find ∠PSQ.

In a farmhouse, a swimming pool is constructed. The length of the pool is 12 m and the width is 9 m. As swimming pools are deeper from one side and shallow from the other, the deeper side is 4 m deep and the shallow side is 1 m deep. What will be the total volume of that swimming pool?