IMO - Mock Test...

Select the correct mirror image from the options for the given combination of letters and numbers, if the mirror is placed along MN.

If '-' denotes '+', '×' denotes '', '+' denotes '×', '=' denotes '<' and '' denotes '-', then which of the following options is correct?

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

Pointing to a photograph, Monika said, ''He is the brother of the son of my grandfather's only child.'' How is the man related to Monika?

Which of the following Venn diagrams best illustrates the relationship among Sun, Moon and Stars?

Directions: Read the following information to answer the question that follows.

Eight friends A, B, C, D, E, F, G and H are sitting around a circle facing the centre. E is third to the left of G, who is to the immediate right of B, who is third to the left of A. H is second to the right of F, who is not an immediate neighbour of E. D is not an immediate neighbour of B.

Which of the following pairs has the first person sitting to the immediate left of the second person?

lf 'a - b' = a × b, 'a + b' = a b and 'a * b' = b - a, then the value of (10 + 2) × (5 - 2) × (2 * 5) is _____.

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 options which will replace '?' in figure (iii).

A man walked 25 m towards east. Then, he turned to his right and walked 20 m, and again he turned to his right and walked 25 m. He then turned to his left and walked 10 m. How far and in which direction is he from the starting point?

How many squares are there in the given figure?

Select a figure from the options which will replace '?' to complete the pattern in the given figure.

Three positions of a dice are shown below. When 5 is at the top, then which number will be at the bottom?

The following question consists of a set of three figures P, Q and R showing a sequence of folding of a piece of paper. Figure R shows the manner in which the folded paper has been cut. Select the figure from the options which would most closely resemble the unfolded form of figure R.

Select a figure from the options which satisfies the same condition of placement of dots as in Fig. (X).

Select the correct water image of the given figure.

The square root of 0.64 - 2 × 0.48 + 0.36 is _______.

In the given figure (not drawn to scale), ABCD is a rhombus. Find the values of (i) DO + AC, and (ii) DAB.

Given below are the steps of construction to construct a quadrilateral KLMN, where KL = 6 cm, LM = 8 cm, MN = 9.5 cm, L = 105° and LM = 75°. Which of these steps is incorrect?

Step-1: Draw LM = 8 cm and construct MLX = 105°.
Step-2: With L as centre and radius 6 cm, draw an arc which cuts LX at K.
Step-3: Construct LMY = 75°. With M as centre and radius 9.5 cm, draw an arc which cuts MY at N.
Step-4: Now join N and X to obtain the required quadrilateral KLMN.

Given that the number 67y19 is divisible by 9, where y is a single digit, what is the least possible value of y?

Simple interest on a sum of money for 1 year at 12% per annum is Rs. 1200. What will be the compound interest when compounded half-yearly on that sum at the same rate for the same period?

Find the ratio of the area of the shaded portion to that of the unshaded portion in the given figure, if ABCD is a rectangle (not drawn to scale).

If a and b vary inversely with each other, find the value of .

The cube root of a number when divided by the smallest prime number gives the square of the smallest prime number. Find the number.

Study the given graph and choose the letters that represent the points (5, 0) and (3, 2), respectively.

The number of faces in a square pyramid is _________.

The order of rotational symmetry of the given figure is _____.

Subtract the sum of and from the sum of and .

If × 8^{x - 2} = (0.25)^x, find the value of .

The tens digit of a two-digit number exceeds its units digit by 6. The number itself is 10 times the sum of its digits. Find the number.

The average number of students who qualified the examination from schools C and D is what percent of the average number of students who appeared for the examination from the same schools? (Rounded off to 2 digits after decimal)

What is the ratio of the number of students who qualified the scholarship examination from school A and the number of students who qualified the examination from school B?

If = 2, then the value of is

Select the incorrect match of the given solids with the product of their number of faces and number of vertices.

The radii of the bases as well as the heights of a cylinder and a cone are equal to r cm and the radius of a hemisphere is also equal to the height of the cone. Find the ratio of the volumes of the cone, cylinder and hemisphere, respectively.

Divide (64x² + 48xy + 9y²)(x + 2) by (8x² + 16x + 3xy + 6y).

Atul has a field in the form of a rectangle. The area of the field is m². Find the breadth of the field, if its length is m.

A theatre in a town is built in the form of a kite. Its perimeter is 100 m. If one of its sides is 20 m, then what are the lengths of other sides?

The weight of Moon is (7.346 × 10²²) kg and the weight of Earth is (5.9724 × 10²⁴) kg. What is the total weight of both in standard form?

A box contains 9 green jellies, 11 blue jellies, 13 pink jellies and 14 orange jellies. Akshit takes out a jelly from the jar at random. What is the probability that the chosen jelly is of pink colour?

Two pipes A and B can till a tank in 36 hours and 45 hours, respectively. If both the pipes are opened simultaneously, how much time will they take to fill the tank?

A man bought a house for Rs. 5 lakhs and rents it. He puts 12% of each month's rent aside for repairs, pays Rs. 1,660 as annual taxes and gets 10% of the investment made for buying the house annually. What is the monthly rent of the house?

How many bricks of size 22 cm × 10 cm × 7 cm are required to construct a wall 11 m long, 3.5 m high and 40 cm thick, if the cement and sand used in the construction occupy (1/10)^th part of the wall?

Principal of a college arranges his 8,341 students in the form of a square. He found that he still had 60 students left. Find the number of students in the middle row.

Mini buys kg ghee at the rate of Rs. 166 per kg, kg butter at the rate of Rs. 90 per kg and kg peas at the rate of Rs. 75 per kg. If she gives a Rs. 1,000 note to the shopkeeper, then how much change should she get back?

A mixture contains milk and water in the ratio 5 : 1. On adding 5 litres of water, the ratio of milk to water becomes 5 : 2. Find the quantity of milk in the original mixture.

Directions: State 'T' for true and 'F' for false and select the correct option.

(i) In a regular hexagon, sum of the interior angles is twice the sum of its exterior angles.
(ii) Diagonals of a square are equal, but do not bisect at 90°.
(iii) A parallelogram in which all sides are equal is called a kite.
(iv) A trapezium is a quadrilateral with exactly one pair of parallel sides.

Which of the following is correct with respect to the given solids?

Directions: Read the statements carefully and select the correct option.

Statement-1: The amount of extension in an elastic spring varies directly as the weight hung on it. If a weight of 150 gm produces an extension of 2.9 cm, then the weight that would produce an extension of 17.4 cm is 900 gm.

Statement-2: x and y vary directly means that if x increases, then y decreases.

Directions: Study the given histogram representing the weights of students of class VIII and answer the following question.



(i) How many students weigh at least 30 kg, but less than 45 kg?
(ii) Which of the following class intervals has the highest frequency?

Directions: Fill in the blanks.

(i) If each edge of a cube is doubled, then the surface area of the new cube will become P times.
(ii) Multiplicative inverse of 2^-16 is Q.
(iii) The units digit of the cube of the number 1,787 is R.
(iv) If three acute angles of a quadrilateral measure 70° each, then the measure of the fourth angle is S.