IMO - Mock Test...

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

Select the correct water image of the given figure.

Q is the brother of R, P is the sister of Q, T is the brother of S and S is the daughter of R. Who are the cousins of Q?

Study the given Venn diagram carefully.



How many males are neither civil servants nor married?

Sukul walks 5 km from her school. Then she turns to her right and after walking 3 km, again she turns to her right and walks 1 km to reach her home. How far is she now from her school?

If it is possible to make a meaningful English word with the second, third, sixth, ninth and tenth letters of the word PREDOMINANT, then the third letter of the word is the answer. If no meaningful word is formed, give 'X' as your answer. If more than one words are formed, give 'Y' as your answer.

In a certain code language, '543' means 'give my water'; '247' means 'water is life' and '632' means 'enjoy my life'. Which of the following stands for 'enjoy' in that language?

If '-' stands for 'division', '+' stands for 'multiplication', '' stands for 'subtraction' and '×' stands for 'addition', then which of the following statements is CORRECT?

Choose a box from the options that is similar to the box formed from the given sheet of paper.

Count the number of cubes in the given figure.

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

Find the missing term in the series given below.

12, 13, 18, 19, 24, 25, ?

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

Group the given figures into three classes on the basis of their identical properties using each figure only once.

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

By which congruency criterion, QPR QPS, if QR = QS, PR QA and PS QC.

In the given figure (not drawn to scale), QS is the bisector of PQR. Find the value of 2QSP.

Which of the following angles can be used to construct a right angled triangle?

In the given figure (not drawn to scale), AB and AC are the bisectors of DBC and DCB, respectively. Which of the following options is incorrect?

Which of the following figures have at least 2 lines of symmetry?

Which of the following data has the median as 16?

Which of the following rational numbers satisfy the given property?

a + (b + c) = (a + b) + c

Find the sum which will earn a simple interest of Rs. 156 in 4 years at 12% per annum.

In the given figure (not drawn to scale), ABCD is a rectangle. ED = 16 cm, FG = FC = 8 cm, BF = 20 cm and FG is perpendicular to BC. If CD is half of AD, then find the area of the shaded region (in cm²).

The ratio of the length of Rope A to the length of Rope B is 3 : 4. The ratio of the length of Rope C to the length of Rope B is 7 : 6. If the length of the longest rope is 84 cm, then find the total length of the three ropes.

Which of the following statements is incorrect?

Which of the following can be the net of the given solid?

Which of the following number lines correctly represents 'p' if, p - (2p + 5) - 5(1 - 2p) = 2(3 + 4p) - 3(p - 4)?

Solve for x:

If of 64% of is 1,280, then the value of x is _______.

Simplify

Select a pair of integers whose sum is - 51.

A circle with centre at O and radius 5 cm is given. A right angled triangle AOB is inscribed in the circle. Find the area of the shaded region.

By how much is -12x + 2y greater than the sum of -18x + 6y and 5x - 25y?

If a : b = 2 : 1 and b : c = 1 : 3, then find a : b : c.

Shubh and Naksh donate some money in a relief fund. The amount donated by Naksh is Rs. 125 more than the amount donated by Shubh. If the total money paid by them is Rs. 975, find the amount of money donated by Shubh.

A shopkeeper sells two televisions for Rs. 1955 each, gaining 15% on one and losing 15% on other. Find his gain or loss per cent in the whole transaction.

A floor measuring 2 m by 1.5 m is to be covered with tiles measuring 25 cm by 25 cm. Find the number of tiles required to cover the floor and the cost of the tiles at Rs. 420 per dozen.

Alisha has to score 40% of the maximum marks to pass. Alisha scored 255 marks and failed by 45 marks. Calculate the maximum marks.

An 80 m long ladder is placed against a wall in such a way that the foot of the ladder is 64 m away from the wall. Up to what height does the ladder reach the wall?

A certain freezing process requires room temperature be lowered from 50°C at the rate of 6°C every hour. What will be the room temperature 12 hours after the process begins?

Himani ate half of a cake on Monday. She ate half of the cake left on Tuesday and so on. She followed this pattern till Thursday. What fraction of the cake has she eaten till Thursday?

A bag contains red, white and blue pencils. The probability of selecting a red pencil is and that of selecting a blue pencil is . Find the probability of selecting a white pencil.

In an examination, one should get 36% of the maximum marks to pass. A student obtained 113 marks and was declared fail by 85 marks. The maximum marks are ______.

The grades obtained by 30 students of class VII are as follows:

A^-, B⁺, A, B, A⁺, B^-, A^-, B, B, B^-, A, A, A⁺, B, B⁺, A, A⁺, B, B, A, A, A^-, A^-, B, B⁺, B, B⁺, A^-, A⁺, A

If a student has been selected at random, then what is the probability that he has obtained grade A⁺?

In the given figure (not drawn to scale), if AB || CG || EF, then find

(i) 2z - x
(ii) x + 2y

Match Column - I with Column - II and select the correct option.

Column - I	Column - Il
(P)	(i) 1
(Q)	(ii) 39
(R)	(iii)
(S)	(iv)

Read the following statements carefully and select the correct option.

Statement-1: Difference between the value of expression, 4x + 2(x + y) when x = 2; y = 3 and when x = 3; y = 2 is 10.
Statement-2: 4(a + 2b) + 3b² + 9ab should be subtracted from 2a - 2b + b² - 6ab to get - (2a + 10b + 8b² + 5ab)

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

(i) The difference between the lengths of any two sides of a triangle is larger than the length of the third side.
(ii) The measure of any exterior angle of a triangle is equal to the sum of the measures of its interior opposite angles.
(iii) In an equilateral triangle only one angle is acute.
(iv) The line segment joining a vertex of a triangle to the midpoint of its opposite side is called an altitude of the triangle.

Study the double bar graph, which shows two different models of mobile phones, S₁ and S₇ produced in a factory from June to September.



(i) In which month was the production of mobile phones twice the production of mobile phones in September?
(ii) What is the mean of the S₇ mobile phone produced by the factory from June to September?