IMO - Mock Test...

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

P5MNB3O$LJ4U@ZCSI©L9AX4TU*3EM

How many such numbers are there in the above arrangement each of which is immediately followed by a vowel and immediately preceded by a consonant?

Choose a box that is similar to the box formed when the given sheet of paper is folded.

Starting from a point P, Aryan walked 40 metres towards North. Then he turned right and walked 60 metres. He then turned right and walked 40 metres. At last he turned right and walked 40 metres and reached a point Q. How far and in which direction is he now from the starting point?

Select a figure from the options which does not satisfy the same conditions of placement of the dots as in the given figure.

Directions: Two rows of numbers are given. The resultant number in each row is to be worked out separately based on the following rules and the question below the rows of numbers is to be answered. The operations on numbers progress from left to right.

Rules:
(i) If an even number is followed by an even number, then they are to be added.
(ii) If an odd number is followed by an even number, then the odd number is to be multiplied by the even number.
(iii) If an even number is followed by an odd number which is a perfect square, then they are to be added.
(iv) If an even number is followed by a prime number, then the first number is to be divided by the second number.
(v) If an odd number is followed by a prime number, then the prime number is subtracted from the odd number.



If P is the resultant of the first row, then what is the resultant of the second row?

Select a figure from the options in which the given figure is exactly embedded as one of its parts.

In a certain code language, if 'CONFIDENCE' is coded as 'FGPEGEQPHK', then how will 'PERFECTION' be coded in the same language?

Select a figure from the options which satisfies the same conditions of placement of the dots as in the given figure.

Seven students P, Q, R, S, T, U and V are standing in a line facing north. V is to the immediate right of S and to the immediate left of Q. P and S have one student between them. P is to the immediate right of R. U and S have two students between them. Who is standing in the middle of the line?

Pointing to a man in a photograph, a woman says, ''This man's son's sister is my mother-in-law''. How is the woman's daughter's father related to the man?

There is a certain relationship between figures 1 and 2. Establish the same relationship between figures 3 and 4 by selecting a suitable figure from the options which will replace (?) in figure 4.

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

Which of the following Venn diagrams best represents the relationship among Shirts, Trousers and Skirts?

Find the missing number, if a certain rule is followed either row-wise or column-wise.

If 'A - B' means 'B is younger than A', 'A * B' means 'A is younger than B' and 'A B' means 'A and B are of the same age, then which of the following is definitely true for P Q - R * S?

The expenditure incurred on various things during the construction of a house is given below:

One card is drawn from a well-shuffled deck of 52 cards. Find the probability that the number on the card drawn is a multiple of 5.

What is the least number which should be subtracted from 0.000326 to make it a perfect square?

In the given quadrilateral ABCD (not drawn to scale), BC = AC = AD. Find the sum of DAC and ACB.

Arman sold an article offering a discount of 15% and earning a profit of 25.5%. What would have been the percentage of profit earned if no discount was offered?

If one member of a pythagorean triplet is 2 m, then the other two members are:

Find the total area of the shaded region in the given figure.

What is the approximate value of (15.01)² × ?

Sam cut out 6 identical circles from a rectangular piece of paper. Find the shaded area.

There are two boxes shown in the figure. Which box requires more amount of material to be made?

Which of the following is the net of a hexagonal prism?

Which of the following statements is always true?

It , then what is the value of 2b?

Solve for x:
= 4

What is the average number of students studying in schools B, D and E?

The ratio of the number of students studying in school C to that in school E is _______.

If , find the value of .

Which of the following CANNOT be true for any polyhedron?

How many cubes of volume 216 cm³ can be obtained from a cube whose side is 36 cm?

If p = and q = , find the value of .

Three years ago, the average age of wife, husband and their child was 27 years. Five years ago, the average age of wife and child was 20 years. The present age of husband is

Riya started a business investing Rs. 25,000. After 3 months, Sneha joined her with a capital of Rs. 30,000. At the end of the year, they made a profit of Rs. 19,000. What will be Riya's share in the profit?

In a simultaneous throw of two dice, what is the probability of getting a doublet?

The mean weight of 120 students in a class is 56 kg. If the mean weight of boys and that of girls in the class respectively are 60 kg and 50 kg, then the number of boys in the class is ______.

4096 soldiers are arranged in an auditorium in such a manner that there are as many soldiers in a row as there are rows in the auditorium. How many rows are there in the auditorium?

A man sells a book at a profit of 20%. If he had bought it at 20% less and sold it for Rs. 18 less, he would have gained 25%. The cost price of the book is.

In a half-yearly examination, Sushma scores 50% and gets 20 marks more than the minimum passing marks, while her friend Preeti scores 40% and fails by 40 marks. Find the minimum passing marks.

The capacity of a rectangular tank is 600 kL. If the length and breadth of the tank respectively are 12 m and 5 m, then the depth of the tank is _________.

Vikas's garden is in the form of a parallelogram whose one side is 4.8 cm and the other side is 1 times this side. He wants to fence his garden four times by a wire. Find the length of the wire required.

The cost of a vehicle is Rs. 1,75,000. If its value depreciates at the rate of 20% per annum, then the total depreciation for 3 years is _______.

Find the values of P, Q, R and S, respectively.

	Principal (in Rs.)	Time (in Year)	Rate (in %)	S.I. (in Rs.)	C.I. (in Rs.)
(i)	12,500	3	P	4500	5061.6
(ii)	8800	2		Q	1559.58
(iii)	R	3	5	180	S

PQRS is a rectangle of dimensions 12 cm and 5 cm. PMNR is a rectangle drawn in such a way that the diagonal PR of the first rectangle is one of its sides and the side opposite to it is touching the first rectangle at S as shown in the figure. What is the ratio of the area of rectangle PQRS to that of PMNR?

Match the following:

Which of the following statements is/are true?

Statement 1: The value of a car depreciates at the rate of 10% per year. A car which was bought three years ago is now worth Rs. 4,73,850. Its original price was Rs. 6,50,000.
Statement 2: In fixed deposit, a bank gives 10% interest compounded annually for senior citizens. In 6 years, it will double a sum of money.

Fill in the blanks and select the correct option.

(i) A number ending in __(P)__ number of zeros is never a perfect square.
(ii) The square of an __(Q)__ natural number can always be written as the sum of two consecutive positive integers.
(iii) The sum of the first n odd natural numbers is ___(R)___.
(iv) If (3 × 3 × 7)² = 3969, then = __(S)__.