IMO - Mock Test...

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

Select the correct water image of Fig. (X).

A is the son of E's brother B. D is the daughter of B. E is the mother of C. How is D related to C?

Which of the following options best illustrates the given Venn diagram?

Ali walks 10 km towards north. He turns to his right and after walking 2 km, he turns left. Finally after walking 6 km, he turns left again. In which direction is he moving now?

If it is possible to make only one meaningful word with the third, sixth and eighth letters of the word ORDINATE, then the third letter of the word formed is the answer. If no meaningful word is formed, then give 'X' as the answer. If more than one such words can be formed, then give 'Z' as the answer.

In a certain code language, 'HOLIDAY' is written as 'ACFKNQJ'. How will 'STUDENT' be written in the same code language?

Consider the following arrangement and answer the question that follows:

628

527

431

293

872

If the middle digit of the least number is subtracted from the middle digit of the greatest number after adding ten to each of the numbers of the given arrangement, then which of the following numbers will be obtained?

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

Count the number of squares in the given figure.

Select a figure from the given options that will complete the given figure matrix.

Which of the following figures does not satisfy the same conditions of placement of the dots as in the given figure?

The given question consists of a set of three figures X, Y and Z showing a sequence of folding of a piece of paper. Fig. (Z) shows the manner in which the folded paper has been cut. Select a figure from the options which would most closely resemble the unfolded form of Fig. (Z).

In which of the following figures is the given figure exactly embedded as one of its parts?

In a queue of 28 girls, Kuhu is 6 ranks ahead of Pihu. If Pihu's rank is 15^th from the last, then what is the rank of Kuhu from the starting?

In a ABC, if AB + BC = 10 cm, BC + CA = 12 cm and CA + AB = 16 cm, then the perimeter of the triangle is

In the given figure (not drawn to scale), AB || CE and ACD is a straight line. Which of the following options is not correct?

In triangle XYZ, XP is the perpendicular bisector of the base YZ. Which of the following congruence criteria can be used to conclude that XYP XZP?

Which of the following statements is CORRECT?

In which music category is the difference between DVD buyers and CD buyers the minimum?

What is the ratio of Pop music CD buyers to the Jazz music DVD buyers?

P and Q are two integers such that P is the multiplicative inverse of (-4) × 5 and Q is the additive inverse of -5 + 4. Find the value of P - Q.

If the product of two fractions is and their quotient is , then the sum of two fractions is _______.

What is the least number of squares that must be added so that the line AB becomes the line of symmetry?

Mr. Gupta asked two of his students to solve the expression and write the answer on the blackboard. Aryan wrote the answer as 3 a^-4b⁵, whereas Ayan wrote the answer as . Who wrote the correct answer?

In the given diagram, PQU is an equilateral triangle, QRVU is a rhombus and RSTU is a square. Find the perimeter (in cm) of the whole diagram.

If a : b = 2 : 3, then (3a + 2b) : (5a + 3b) is equal to ______.

If a number is increased by 20% and then the increased number is decreased by 20%, then the overall change in number is

In the given figure, PQ || RS. Find the value of b.

Which of the following options represents the value of P shown on the number line?

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

If = 1, then find the value of .

lf twice of A is equal to thrice of B and four times of B is equal to five times of C, then find the ratio of A to C.

ABCD is a rectangle (not drawn to scale) having length 30 cm and breadth 25 cm. P, Q, R and S are midpoints of AB, BC, CD and AD, respectively. Find the area of the shaded region of the figure.

If A = 9t² + 14xt - 3x², B = 16xt + 4x² - 5t² and C = -7x² - 19xt - 8t², then find the value of B - A - C.

Manvi says that she got 16 more marks than 4 times the number of marks scored by Aashi. Form an equation which gives the marks scored by Aashi, if Manvi scored 72 marks.

Kirti bought a plot of land in the outer of the city for Rs. 32,50,000. She built a wall around it for which she spent Rs. 1,75,000. Then she wants to sell it at Rs. 40,00,000 by making an advertisement in the television which costs her Rs. 15,000. Find her approximate profit percent.

In a circular park of diameter 200 m, a flower bed is made in the form of a circle with radius 20 m. Find the approximate area of the park left out. (Take = 22/7)

Ram needs to pay his bill. After deducting 6% of the bill, the amount still to be paid is Rs. 282. How much was the original bill?

The ratio of the present ages of two friends is 1 : 2 and six years back, the ratio was 1 : 4. What will be the ratio of their ages after six years from now?

In Shimla the minimum temperature on Tuesday was 25°C. On Wednesday it fell by 3°C and due to rainfall on Thursday it further fell by 4°C. What was the the minimum temperature on Thursday?

Priya invests of her capital at 7% p.a. at 8% p.a. and the remainder at 10% p.a. If her annual income is Rs. 561, then find the capital.

A rectangular piece of land is to be sold off in smaller pieces. The total area of the land is 2¹⁷ sq. miles. The pieces to be cut out are 16² sq. miles in size. How many smaller pieces of the land can be sold at the given size?

In a class there are 20 girls and 30 boys. The mean weight of 20 girls is 35 kg and mean weight of 30 boys is 60 kg. Find the mean weight of the class.

The average height of 20 students in a class is 105 cm. If ten more students of average height 120 cm join the class, then the average height of the class is _____________

Fill in the blanks and select the correct option.

(i) If two lines intersect each other, then the vertically opposite angles are ____(P)____
(ii) The angles of a linear pair are ____(Q)____ as well as ___(R)___
(iii) If a transversal is perpendicular to two parallel lines then sum of each pair of corresponding angles is ___(S)___

The ratio of the outer and the inner circumferences of a circular path as shown in the figure is 26 : 25. If the path is 5 m wide, then find

(i) the area enclosed by the path
(ii) the diameter of the inner circle

Match the following:

Column-I	Column-II
(P) If 2700 × x6 = 27 × 108, then x =	(i) 6
(Q) If pqr = 0, then =	(ii) 900
(R) is equal to	(iii) 10
(S)	(iv) 1

Read the following statements carefully and select the correct option.

Statement-1: If Rs. 880 has to be divided among three daughters of Shyam such that Sunita receives of what Rekha and Jyoti together receive, then Sunita's share is Rs. 264.
Statement-2: If the mean of 8, 9, x, 10, 5 is 15, then the value of x is 43.

In the given figure (not drawn to scale), x || y || z and || m || n. Find the values of

(i) 4c + 6a + 3b + 5d
(ii) 2(a + b + c + d)