IMO - Mock Test...

There is a certain relationship between figures (i) and (ii). Establish a similar relationship between figures (iii) and (iv) by selecting a suitable figure from the options which will replace the (?) in figure (iv).

Select the correct mirror image of the given figure.

Pointing to a photograph, Manish said, "He is the son of the only daughter of the father of my brother." How is Manish related to the man in the photograph?

Which of the following Venn diagrams correctly describes the relationship among "scientists", "car owners" and "females"?

A man walks 6 km to the east, and then turns towards south and walks 5 km. Again, he turns towards east and walks 6 km. Next, he turns northwards and walks 10 km. How far is he now from his starting point?

Arrange the given words as they occur in the dictionary.

1. Honour
2. Honest
3. Humour
4. Hungry
5. Huge

In a certain code language, 'EMPLOYEES' is written as 'DLOKOXDDR'. How will 'FURNITURE' be written in the same language?

If we interchange '÷' with '+', and '-' with '×' in each of the following options, then which option becomes correct?

Three positions of a die are shown below. How many dots will be there on the face opposite to the face having 6 dots?

How many squares are there in the given figure?

Select a figure from the options which will complete the given figure matrix.

Find the missing number.

Select a figure from the options which will complete the given figure pattern.

A square transparent sheet with a pattern and a dotted line on it is shown below. Select a figure from the options which shows how the pattern would appear when the transparent sheet is folded along the dotted line.

Select the odd one out.

In the given figure, CD || AB. Find the value of y.

In the given figure, if A = 2B and ACD = 2DCB, then find the measure of DCB + B.

In the given figure (not drawn to scale), ABC is a triangle and BC = BD. Find the value of y.

In ΔABC and ΔLMN, AB = LM and BC = MN. Which of the following conditions can make the two triangles congruent?

Evaluate:

Which of the following options is CORRECT?

The following number line shows the temperature in degree celsius (°C) at different places (P to T) on a particular day.



What is the difference in temperature between the hottest and coldest places as shown on the number line?

In which of the following cases, a triangle CANNOT be drawn?

Find the mean of the first 7 odd natural numbers.

In the given magic square, if each row, column and diagonal has the same sum, then the values of A and B respectively are ______.

What fraction of the given square is shaded?

Solve for x:
(x - 4)(x + 4) = 54 + (x - 5)(x - 10)

What is the order of rotational symmetry of the given figure?

A bag contains 5 blue gems, 8 red gems and 2 green gems. A gem is drawn at random. What is the probability of getting a blue gem?

Find the area of the shaded portion of the given figure (not drawn to scale).

If 30 shirts were bought for Rs. 9000 and out of those only 10 shirts were sold for Rs. 3500, find the profit/loss percent in transaction of 10 shirts.

Find the additive inverse of the number obtained by subtracting -9 from the additive inverse of -23.

How many more unit squares in the figure must be shaded so that the fraction of shaded squares becomes ?

Find the value of the resultant expression when xy + 2xy² + x² is added to y² + 2x²y + xy, for x = 1 and y = -1.

If , then the value of is ______.

The teacher tells the class that the highest marks obtained by a student in her class are four times the lowest marks plus 6. The highest marks are 65. Form the equation which will calculate the lowest marks represented by m.

Sushma sold an article at a loss of 12%. If she had sold it for Rs. 50.80 more, then she would have earned a profit of 8%. Find the cost price of the article.

Divya wants to fence the rectangular garden in front of her house. The dimensions of the garden are 15 m and 25 m. Find the cost of fencing the garden at the rate of Rs. 12.25 per metre.

Sonali invests money in three different schemes for 6 years, 10 years and 12 years at 10% p.a. 12% p.a. and 15% p.a. at simple interest, respectively. At the completion of each scheme, she gets the same interest.

What is the ratio of her investments?

Sahil is 15 years older than his nephew. Three years hence, his age will be twice the age of his nephew. Find the present age of Sahil's nephew.

A company's production department produces 6250 items in a day. After 30 days of regular work, these items are equally distributed to 50 dealers in different states. The number of items that each dealer gets is ____________.

Mr. Sharma earns Rs. 64,000 per month. He gives of his salary to his son, of the remaining to his daughter and the rest to his wife. Find the share of his wife.

A 120 m long ladder can reach a window 72 m from the ground on being placed against a wall. Find the distance of the foot of the ladder from the wall.

If 24 pairs of trousers of same size can be prepared with 66 m of cloth, then the length of cloth required for each pair of trousers is _____.

There are three places, i.e. A, B, and C in a straight line, as shown below. If the distance between places A and B is (2.4 × 10⁶) m and the distance between places B and C is (5.2 × 10⁵) m, then find the distance between places A and C in the standard form.

There are 40 marbles in a box, which are numbered from 1 to 40. If a marble is drawn at random, then find the probability that the number on the marble drawn is:

(i) Multiple of 5
(ii) Factor of 40

Study the following statements carefully and select the correct option.

Statement-I: A hall is 36 m long and 24 m broad. If, allowing area of 40 m² for doors and windows, the cost of papering the walls at Rs. 8.40 per square metre is Rs. 4704, then the height of the hall is 5 m.
Statement-II: If the difference between the circumference and diameter of a circle is 154 cm, then the radius of the circle is 30.93 cm.

State 'T' for true and 'F' for false and select the correct option.

(i) Every natural number is a rational number.
(ii) Every rational number is a fraction.
(iii) Zero is not a rational number.
(iv) The reciprocal of 0 is .

The given double bar graph shows the sale of mobile phones and cars from 2005 to 2008.



(i) Find the ratio of the total number of mobile phones sold in 2006 and 2008 to the total number of cars sold in 2005 and 2007.
(ii) What is the average number of cars sold from 2005 to 2008?

Arrange the following steps in the correct order, while constructing a triangle ABC (given AB = 6 cm, BC = 8 cm and ABC = 60°).

Step-1: With B as a centre, draw an arc of radius 6 cm, which cuts BX at the point A.
Step-2: At B, draw a ray BX, making an angle of 60° with BC.
Step-3: Join AC, ABC is the required triangle.
Step-4: Draw a line segment BC of length 8 cm.