IMO - Mock Test...

Select a figure from the options which will continue the same series as established by the Problem Figures.

Select the correct mirror image of the given figure.

Reema is the sister of Vipin. Sudha is the mother of Vipin. Jagdish is the father-in-law of Sudha. How is Reema related to Jagdish?

Which of the following Venn diagrams best represents the relationship among "Red", "Rose", and "Clothes"?

Town X is towards west of town Y. Town Z is towards south of town X. Town B is towards south of town Z. In which direction is town X with respect to town B?

If it is possible to make a meaningful word with the first, second, seventh and eighth letters of the word DIAGONAL, then the third letter of the word thus formed is the answer. If no such meaningful word is formed, then give 'N' as your answer. If more than one such word is formed, then give 'M' as your answer.

If in a certain code language, MEDICATE is written as GVCEKFGO, then how will VALIDATE be written in the same code language?

If each of the odd digits in the number 147832 is increased by 1 and each of the even digits is decreased by 1, then find the sum of the digits of the new number formed.

The sheet of paper shown in Fig. (X) is folded to form a box. Choose the box from the options that will not be formed.

Count the number of triangles in the given figure.

Select the option which has exactly the same components as those in the given figure.

Find the missing number if the same rule is followed in all the three figures.

A square transparent sheet (X) with a pattern and a dotted line on it is shown here. Find the figure from the options as to how the pattern would appear when the transparent sheet is folded along the dotted line.

Select a term from the options which will continue the given series.

B35Y, D30W, F25U, H20S, __?__

Select a figure from the options which will complete the pattern given in Fig. (X).

In the given figure (not drawn to scale), ABC and DBE are straight lines. Find the value of y.

In the given figure, state whether the triangles are congruent and choose the correct order.

In the given figure, ACD is a straight line. AC = CB and BF || DE. Find BAE.

In the given figure (not drawn to scale), if EFA is a right-angled triangle with EFA = 90° and FGB is an equilateral triangle, then find the value of y - 2x.

By which congruency criterion are the two triangles in the given figure congruent?

In which year was the difference of number of copies of both the newspapers sold maximum?

What is the ratio of newspapers sold in the years 2016 and 2017 together to the total number of newspapers sold in 2018?

The sum of two rational numbers is -7. If one of the rational numbers is , then find the additive inverse of the other rational number.

A sum of money at simple interest doubles itself in 5 years 6 months. In how much time will it triple itself at the same rate?

Study the given figure (not drawn to scale) carefully and select the correct option.



(i) Perimeter of the complete figure is 198 cm.
(ii) Total area of figures II and III is 4 cm² less than the total area of figures I and IV.

If a = , b = and c = , then which of the following statements is CORRECT?

The following are the steps involved in finding the value of x : y, if . Arrange them in sequential order from the first to the last.

1. 9x + 12y = 8x + 20y
2. Given,
3.
4. 3(3x + 4y) = 4(2x + 5y)
5. x = 8y

What rational number should be added to to get the greatest negative integer?

The ratio of number of 10 rupee notes to 20 rupee notes in a purse is 3 : 4. If there are total 84 notes in the purse, then how much money is there in the purse?

Read the following statements carefully.

1. 48.95 - 32.006 = 16.944
2. 4 + 4.44 + 0.4 + 44.04 = 52.87
3. 101 = 101.00027

Which of the given statements is/are CORRECT?

The value of x in (7x - 1) - = x + is ________.

Given that LM || NQ, LMP = 135° and QNP = 120°. Find the value of x.

Which of the following number lines represents -3 - 4?

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

The following are the margins of victory in the matches of a football league:

3, 2, 1, 5, 6, 4, 2, 1, 3, 1, 2, 1, 4, 2, 5, 5, 6, 2, 3, 2

Find the mean of the data.

Tani decides to spend Rs. 900 for distributing food items to poor children. But, she has only Rs. 420. So, she decides to do a typing job that can earn her Rs. 60 per hour. Form an equation in terms of x, if she works for x hours.

A rice company earns a profit of Rs. 15 per bag of Type I rice sold and a loss of Rs. 10 per bag of Type II rice sold. If the company sells 2000 bags of Type I rice and 1000 bags of Type II rice in a month, then find the overall profit or loss.

A rectangular grassy land is 65 m long and 50 m broad. It is surrounded by 3 m wide path. Find the cost of gravelling the path at Rs. 2.50 per m².

The number of students in a school increased by 8% annually. If there are 71,280 students in the school, then how many students were there last year?

A certain sum was divided between Priya and Yashika in the ratio 5 : 6. If Yashika's share was Rs. 2400, find the total sum.

In a hall, of the people were females and of those females were school girls. If the total number of people were 600, then how many school girls were there in the hall?

A man gave Rs. 5489.38 to his daughter and Rs. 12,364.57 to his wife from his total savings. He still had Rs. 20,000 left with him. Find his total savings.

Find the sum of the mode and the median of the given data.

2, 4, 3, 4, 6, 2, 5, 1, 3, 2, 1

Kanika lent Rs. 6400 to Richa and Renuka each at 15% per annum for 5 years and years, respectively. Find the difference between the simple interests paid by them.

Shivam rolled a die once. What is the probability of getting a number multiple of 3?

Given that ACD is 4° more than CDE and CDE is 22° more than DAC. Also, the sum of BCE and BDE is 26° and EBF = 80°. Find the value of x.

Match the following.

Read the given statements carefully and select the CORRECT option.

Statement-1: A person lent certain sum of money at 4% simple interest. In 5 years, the interest amounted to Rs. 520 less than the sum lent. Then, the sum lent was Rs. 650.
Statement-2: If an investment triples itself in 30 years, then the rate of simple interest is 7%.

Read the statements carefully and state 'T' for true and 'F' for false.

(i) The percentage decrease in the price of a shirt when the price decreases from Rs. 100 to Rs. 80 is 20%.
(ii) The mode of the data 6, 7, 7, 4, 2, 7, 6, 4 is 6.
(iii) If length of the side of a square table is x units, then its perimeter is (4 + x) units.
(iv) If the angles of a triangle are , (x - 20°) and (x - 40°), then the value of x is 44°.

The given bar graph represents Demand and Production for five companies A, B, C, D and E. On the basis of the graph, answer the following question.



(a) If x% of demand for company C equals demand for company B, then x equals ________.
(b) The ratio of the number of companies having more demand than production to those having more production than demand is___________.