IMO - Mock Test...

Fill the missing number in the following pattern.

Directions: In the following problem, a square transparent sheet with a pattern is given. Figure out from amongst the four alternatives, how the pattern will appear when the transparent sheet is folded along the dotted line.

Directions: The first figure in the first unit of the Problem Figures bears a certain relationship to the second figure. Similarly one of the figures in the Answer Figures bears the same relationship to the second figure. Locate the figure which would fit in the question mark.

Directions: A group of pieces, out of the four figures (a), (b), (c) and (d), when joined together form the shape given on the left side. Identify the group.

Directions: In the question given below, there are four statements followed by three conclusions numbered I, II, and III. You have to take the given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follow(s) from the given statements.

Statements:
1. All Belts are Shirts.
2. All Ties are Pants.
3. Some Shirts are Pants.
4. Some Socks are Shirts.
Conclusions:
I. All Pants are Shirts.
II. All Shirts are Socks.
III. Some Shirts are Belts.

Directions: Study the following arrangement carefully and answer the question given below.

B M % R 3 J @ K © D F 6 9 W 4 N E P 2 $ A Y 5 I Q Z # 7 U G

How many such consonants are there in the above arrangement, each of which is immediately preceded by a symbol and immediately followed by a number?

Which of the following options can be the top view of the below funnel lying on a table?

In the diagram above, the circle represents Milky Bar, the triangle represents Five Star, the rectangle represents Bar One, and the square represents Snickers packing areas. Study the diagram carefully and answer the question given below.

In which area are Snickers, Five Star and Milky Bar packed?

Find out the missing number in the given figure.

Complete the below series:

89, 56, 98, 63, 116, 77, 143, ____

What is the number of vertices in the solid figure given below?

Which number will replace the question mark?

Rohit started his journey from his house and walked 50 metres towards north. Then, he turned to the right and walked 15 metres. He then turned to the left and walked 15 metres again. And then, he took a final left turn and walked 10 metres. In which direction was he with respect to the starting position?

Find the number which will replace the question mark, if the same rule is followed in three figures.

A dice is rolled twice. What will be the probability of getting a multiple of 3 in the first roll, and a prime number in the second roll?

What is the value of IJ?

How many terms are there in the given series?

63, 61, 59, 57, ..........., 25.

If sin x = and cos x = , then find out the value of .

If , then find out the value of sin x cos x.

Following is the pie chart showing the percentages of pets in a pet shop,



What is the number of dogs in the shop, if the total number of pets is 160?

The sum of the first four consecutive even numbers is 60. Find out the 2^nd consecutive even number.

If 3a² = b² ≠ 0, then the value of is

Find the area of triangle KLM. Write the answer as a decimal rounded to the nearest tenth.

Find the length OR.

The sum of two equal sides of an isosceles triangle is 5 times the third side. If the perimeter is 60 cm, then find the biggest side of the triangle.

J is the centre of the circle. In triangle JMN, angle JMN = 55°. Find out the measure of L.

If z = x, y = w and u = v, then which of the following relationships is true?

In a pack of 52 cards, what is the probability of getting an ace and a jack without replacement?

(sin θ + cosec θ)² + (cot θ + tan θ)² = ?

What will be the 45^th term of an A.P., if it consists of 73 terms and the first and the last terms are 1 and 145, respectively?

In a car-bazaar, the total number of cars is 79. The percentage of white cars is 29.65%. How many cars in the car-bazaar are white?

What would be the height of a triangle ABC, if the base of the triangle is 8 cm and the area of the triangle is equal to the area of a square whose side is equal to the base of the triangle ABC?

In a triangle ABC, A is twice of B. Find the measurement of angle C if A = 68°.

If an A.P. consists of 55 terms and if the first and last terms are 13 and 175, respectively, then determine the 49^th term.

In a shop, 20% of the fruits are apples, 50% of the remaining are bananas and 30% of the remaining are grapes. The remaining 6,300 fruits are of different types. What is the total number of fruits in the shop?

In triangle DEF, DE = 5 cm, EF is twice of DE, and DF = 13 cm. Find out the area of triangle DEF using Heron's formula.

The area of a rectangular box is 212 cm². The ratio of the perimeter to the width of the rectangular box is 6 : 2. What is the length of the box?

In an Art and Craft class, Aman creates 2 triangles with a cardboard. The base of one of the triangles is 15 cm and its height is 12 cm. What will be the height of the other triangle if its area is double the area of the first triangle and its base is 20 cm?

The point which lies on X-axis at a distance of 6 units in the negative direction is

John builds a hall whose length, breadth and height are 11 m, 14 m and 12 m, respectively. What will be the total cost of painting the walls and the ceiling of the room if the cost of painting is Rs. 8.25 per m²?

Two dice are thrown simultaneously. Find the sum of the probability of getting a prime number as the sum and probability of getting a doublet of prime numbers.

A Hula-Hoop with a radius of 35 cm is rolled on ground. To cover a distance of 110 m, how many revolutions should it make?

In a parallelogram ABCD, the base is twice the height, and the area is 338 cm². Find out the height of the parallelogram.

The marks scored by some students in their mathematics test are given below:

If cos A = , then find the value of .

Anuj picks a card from a deck of playing cards. If he chooses a black card, he goes to his job, and if he picks the other type, he does his own work for that day. What will be the probability that he goes to job by picking an 8?

Observe the linear equations given below and choose the correct option.

y = + 2 ...(i)
x = 2y + 6 ...(ii)

On plotting points (3, -6), (3, -4), (5, -3), (7, -4), (7, -6), (5, -7) and joining them together as a closed shape, which shape will be obtained?

To construct a bullock cart, Ray takes 60 days, Gilly takes 30 days and Kyle takes 20 days. Kyle plans to construct a bullock cart. He gets help from Ray and Gilly every second day from the start of the construction of the bullock cart. How long will it take for the bullock cart to be constructed?