IMO - Mock Test...

Select a Venn diagram from the options which best illustrates the relationship among ''Metal, Copper, Wood''.

If '-' denotes '', '+' denotes 'x', '' denotes '-' and 'x' denotes '+', then what is the value of 43 × 7 5 + 8 - 4?

In a certain code language, 'Take Bath And Do Worship Of The Goddess' is coded as 'And Bath Do Goddess Of Take The Worship'. How will 'Then Why Did You Not Do Your Study' be coded using that language?

Which of the following is true about a triangular prism?

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

Select a figure from the options which shows the correct mirror image of Fig. (X), if the mirror is placed vertically to the right.

There is a certain relationship between the numbers on either sides of ::. Establish the same relationship in the other pair and find the missing number.

25 : 216 : : 16 : ?

If the following words are arranged in the alphabetical order, then which word will appear at the end?

Amplify, Amperes, Amplitude, Amassment

Ajay wants to go to the Management Institute. He starts from home, which is towards the east of a crossing. He walks towards the crossing. The road to the left ends in a school, straight ahead is a community hall. The road to the right leads to the Management Institute.

In which direction is the Management Institute from the crossing?

Some children, A, B, C, D, E, F, and G, are standing in a line facing north. G is to the right of D and to the left of B. A is on the right of C. A and D have one child between them. E and B have two children between them. D and F have two children between them.

Who is exactly in the middle?

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

Two different positions of a die has been shown below. If 1 is at the top, then what number will be at the bottom?

Pointing towards a man in a photograph, Rohit said, ''His sister is the mother of Anuj, the son of my brother''. How is Rohit related to Anuj?

If in the word 'ELECTROCARDIOGRAPH', the first half of the letters is reversed, second letter from the left end is then prefixed and finally 'S' is suffixed, then find the letter exactly in the middle.

Study the given Venn diagram carefully and answer the following question.



Which region represents the persons who know both Telugu and Hindi but not English?

Which of the following statements is CORRECT?

In the given figure, P is a point in the interior of AOB. PM OB and PN OA. If NOM = 60°, what is the measure of NPM?

Which of the following statements is CORRECT?

In which school is the number of players participating in Hockey and Basketball together the second highest?

What is the total number of players participating in Tennis from all the five schools together?

Find x:
2^0.2 × 64 × 8^1.3 × 4^0.2 = (8)^x

In the figure, ABCD is a square of sides 28 cm. Find the area of the shaded region if the radius of the circle is cm.

If r² + = 7, then evaluate r + .

Find the value of .

If the length and breadth of a rectangle are respectively increased and decreased by 20% and 10%, then what is the change in area of the rectangle?

Given below are the steps of construction of a quadrilateral ABCD, where AB = 3.5 cm and BC = 6.5 cm. A = 75°, B = 105° and C = 120°. Which of the following steps is INCORRECT?

Step 1: Draw AB = 3.5 cm.
Step 2: Draw XAB = 75° at A and ABY = 105° at B.
Step 3: With B as centre and radius BC = 6.5 cm, draw an arc to intersect BY at C.
Step 4: At C, draw ADC = 120° such that CZ meets AX at D.

Which of the following is the top view of the given figure?

The given table shows the cost price of various items purchased from a showroom.

The given pie chart shows the marks scored by a student in an examination in 5 different subjects.



If the total marks obtained by the students were 1080, then find the marks obtained by them in Mathematics and Hindi together.

The given bar graph represents sales of two wheelers and four wheelers in a city from 2008 to 2011.



Difference between the number of vehicles (two wheelers and four wheelers) sold from 2008 to 2011 is:

Find the values of A and B respectively.

Six more than four times a number is four less than five times the number. Find the number.

In the given figure, MS is the internal bisector of S. Find the value of x + y - z.

If , then find the value of x⁴ + .

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

The value of a machine increases every year at the rate of 10% on its value at the beginning of that year. If the present value of the machine is Rs. 729, then its worth 3 years ago was ______.

A trader lists his articles 20% above C.P. and allows a discount of 10% on cash payment. What is his gain percent?

A car worth Rs. 1,50,000 is sold by Rajat to Vihan at 5% profit. Vihan sells the car back to Rajat at 2% loss.

Then, in the entire transaction, _______.

The length of a rectangular plot is 10 metres more than its breadth. If the cost of fencing the plot at Rs. 13.25 per metre is Rs. 5,300, then find the length of the plot.

The greatest possible length which can be used to exactly measure the lengths 7 m, 3 m 85 cm, and 12 m 95 cm is _____.

A P.T. teacher asks 20,736 students to stand in such a way that there are as many rows as there are students in each row. Find the number of rows.

A can do a piece of work in 8 days, B can do it in 16 days, and C can do it in 80 days. In how many days can they complete the whole work working together?

Pluto is 5913000000 km away from the Sun. Express this distance (in km) in the standard form.

The ratio of a man's age to his son's age is 4 : 1. The product of their ages is 196. What will be the ratio of their ages after 5 years?

Ashima has three cylindrical containers.

(i) P having radius 2r and height h
(ii) Q having radius 3r and height 2h
(iii) R having radius 3r and height

Arrange the volume of containers in decreasing order.

Which of the following statements shows inverse proportions?

Fill in the blanks:

An __P__ is an equality, which is true for all values of the variables in the equality. An ___Q ___ is not an identity. __R__ are formed from variables and constants.

Select the INCORRECT match.

Match the following.

Column - I	Column - Il
(P) (x2 - 3x + 2) × (x2 + 2x + 1)	(i) 3x3 - 4x2 - 12x + 8
(Q) (2x2 - 3x + 1) + (3xy - 4x2 - 2x + 5)	(ii) x4 - x3 - 3x2 + x + 2
(R) (2x3 - 3x2 - 7x + 6) - (x2 - x3 + 5x - 2)	(iii) 2x - 2y
(S) (4x2 + 4y2 - 8xy) (2x - 2y)	(iv) - 2x2 + 3xy - 5x + 6

Which of the following steps is INCORRECT while constructing a quadrilateral KITE, given that KI = 9 cm, IT = 6 cm, KE = 5 cm, diagonal KT = 14 cm and diagonal IE = 6 cm?

Step 1: Draw KI = 9 cm
Step 2: With K and I as centres and 5 cm and 6 cm as radii, respectively, draw arcs to cut each other at E.
Step 3: Join KE and IT. With K and I as centres and 14 cm and 6 cm as radii, respectively, draw arcs to cut each other at T.
Step 4: Join KT and IE. Join TE also.
KITE is the required quadrilateral.