IMO - Mock Test...

In a certain code language, '256' means 'you are beautiful', '637' means 'they are bad' and '358' means 'beautiful and bad'. Which of the following numbers represents 'they' in that code language?

Seven persons are standing in a row. Ritul is standing left to Jasmine but right to Priyanka, Om is standing right to Neha and left to Priyanka. Similarly, Sneha is standing right to Jasmine and left to Tanmay. Which of the following persons is standing in the middle?

How many semicircles are there in the given figure?

Which of the following is the correct water-image of the given combination?

Gunjan is facing west. She walks 20 m towards the right and then 80 m towards the left. At last she turns to the left and walks 20 m. In which direction is she facing now?

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

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

Select the figure from the options in which Fig. (X) is exactly embedded as one of its parts.

Select a figure from the options which completes the figure matrix.

If it is possible to make only one meaningful word with the second, the seventh, the tenth and the eleventh letters of the word TRADITIONAL, what will be the second letter of the word? If no such word can be formed, give 'X' as the answer. If only two such words can be formed, give 'Y' as the answer and if more than two such words can be formed give 'Z' as the answer.

Sonam is 9 ranks ahead of Riya, who has the seventeenth rank in the class in the annual examinations. What is Sonam's rank from the bottom, if there are 40 students in the class?

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

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


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

Which of the following numbers will be obtained if the second digit of the smallest number is added to the third digit of the greatest number after adding 5 to each number of the given arrangement?

152 453 279 536 785

Which of the following Venn diagrams best illustrates the relationship among ''Rings", "Ornaments", and "Diamond rings''?

How many consonants are there in the given sequence which are immediately preceded by a digit and immediately followed by a symbol?

E G 4 B H 7 5 @ K 8 D N Q Z $ W 3 C 1 9 * L B 2 S 6

Solve for x :

8 pumps can empty a water tank in 42 hours. How many hours would 56 pumps take to do the same work?

What is the smallest natural number by which 7056 must be divided so that the quotient becomes a perfect cube?

Find the values of the letters A, B, C and D.

The vertices and faces of a polyhedron are 32 and 15, respectively. Find the number of edges of this polyhedron.

To construct a unique rectangle, the minimum number of measurements required is

A bag contains 3 red, 1 pink and 9 white balls. One ball is drawn at random. Find the probability that the ball drawn is not white.

Which of the following expressions shows that rational numbers are associative under multiplication?

A hat contains 5 red balls and 7 green balls. If a ball is drawn at random, then what is the probability that it is a red ball?

The two adjacent sides of a rectangle are 5x² - 3y² and x² + 2xy. Find the perimeter.

Factorise: 4a² + 12ab + 9b² - 8a - 12b

In the given figure, DE is the internal bisector of D. If D = 60°, then find the value of x.

If x = , then find the value of x^-2y.

The difference between the compound interest (compounded annually) and simple interest on a certain sum at 10% per annum for 2 years is Rs. 631. Find the sum.

lf (t + 2) units and (t² + 4) units are length and breadth of a rectangle, respectively, then find its area (in sq. units).

Using Euler's formula, find the respective values of P, Q and R.

If 31y5 is divisible by 15, where y is a single digit, then what would be the values of y?

In the given parallelogram XYZW, find the values of x, y and z respectively.

Which appliance is used half as many hours on the weekdays as it is used on the weekends?

What is the total number of appliances used in weekdays?

The monthly incomes of Komal and Asha are in the ratio of 4 : 3. Their monthly expenses are in the ratio of 3 : 2. However, both save Rs. 600 per month. What is their total monthly income?

Sam, Trishu and Sanchi begin to jog around a circular stadium. They complete their revolutions in 42 seconds, 56 seconds and 63 seconds, respectively. After how many seconds will they be together at the starting point?

The outer dimensions of a closed box are 10 cm by 8 cm by 7 cm. Thickness of the wood is 1 cm. Find the total cost of wood required to make box, if 1 cm³ of wood costs Rs. 2.00.

Gopal wants to plant 99,225 shrubs and arranges them in such a way that there are as many rows as there are shrubs in a row. Find the number of shrubs in a row.

37% of the candidates in an examination were girls. 75% of the boys and 62% of the girls passed and 342 girls failed. Find the number of boys who failed.

The cost of papering the four walls of a room is Rs. 480. Each one of the length, breadth and height of another room is double that of this room. What is the cost of papering the walls of the new room?

Harshad bought 15 pieces of DVD players at Rs. 4,500 each and sold all of them at the total price of Rs. 81,000. What is the percent profit earned in the deal?

One custard recipe requires cup of sugar. Another recipe for the same custard requires 2 table-spoons of sugar. If 1 table-spoon is equivalent to cup, then how much more sugar does the first recipe require?

Renuka borrowed Rs. 15,000 from Vipul at 5% per annum at simple interest for 3 years. If she had borrowed this sum at the same rate and time at compound interest, then what extra amount would she have had to pay?

Mohit is 20 years younger than his father. Three years ago, Mohit's age was one-sixth the age of his father. Find the present age of Mohit.

Read the statements carefully and select the CORRECT option.

Statement-1: While solving a mathematical problem, Samidha squared a number and then subtracted 25 from it rather than the required, i.e. first subtracting 25 from the number and then squaring it. But she got the right answer. The given number is 13.
Statement-2: The smallest natural number which is a perfect square and which ends in 3 identical digits lies between 2000 and 3000.

Find P + Q - R.

(i) If a rectangle of length 44 cm is rolled along its length to form a cylinder, the radius of cylinder is P cm.
(ii) The cost of plastering the walls of a cuboidal room of dimensions 12 m × 10 m × 4 m at the rate of Rs. 25 per sq. m is Rs. Q .
(iii) The volume of a cuboid of dimensions 14 m × 7 m × 12 m is R m³.

Look at the given data.
22, 10, 29, 22, 32, 5, 37, 14, 12, 23, 42, 15, 38, 26, 32, 18, 26, 28, 19, 27, 35, 31, 24, 37, 19, 20
The frequency distribution is given below:



Which of the following tables is the frequency table of the given data?

Match the following.

Column - I	Column - II
(P) C.S.A. of cylinder	(i) Side × Side × Side
(Q) Area of trapezium	(ii) 2 rh, where r is radius, h is height
(R) Volume of cylinder	(iii) × (Sum of parallel sides × Distance between them)
(S) Volume of cube	(iv) r2h, where r is radius, h is height

Ten separate slips, bearing numbers from 1 to 10 (one number on one slip), are kept in a box and mixed well. One slip is chosen from the box without looking into it. What is the probability of getting:

(a) a number greater than 6?
(b) a number less than 6?
(c) a 1-digit number?