IMO - Mock Test...

The given equations are solved on the basis of a certain system. On the same basis, find out the correct answer from the given options.

If 7 × 9 = 306, 12 × 8 = 609 and 16 × 4 = 406, then 19 × 5 = ?

If A is ÷, B is ×, C is + and D is -, then which of the following statements is correct?

1. 1 C 8 D 16 B 20 A 4 = - 71
2. 1 C 8 D 16 B 20 A 4 = - 35
3. 1 C 8 D 16 B 20 A 4 = - 110
4. 1 C 8 D 16 B 20 A 4 = - 91

From the given alternative words, select the word which cannot be formed using the letters of the given word.

THERMODYNAMICS

If all the letters are dropped, then which among the following would be 7^th from right?

8 C # 4 & 7 7 L & # 7 K L ! T ? P 4 2 W %

In a certain code language, 415 means 'milk is hot', 18 means 'hot soup' and 895 means 'soup is tasty'. Which number will indicate the word 'tasty'?

How many triangles are there in the following figure?

Find the odd one out.

BC125A, HI216G, PQ343O, GH242F

Pointing towards Rita, Nikhil said, "I am the only son of her mother's son." How is Rita related to Nikhil?

Choose the cube that will be formed on folding the given question figure.

Which of the following would be the correct answer for the missing numbers in the pattern?

Out the given options, choose the correct one to replace the question mark (?).

ACEG : BDFH : : IKMO : ?

Study the following figure and answer the question given below.



How many uneducated people are married?

Complete the following number series:

5, 26, 65, 122, 197, __

Find the missing number in the given pattern:

Arrange the given words in the sequence in which they occur in the dictionary and then choose the correct sequence.

(a) Departmentalisation
(b) Disparages
(c) Disparage
(d) Disparts

What is the value of x in the given equation?

If ΔVWX ~ ΔHIG, what is the ratio of the area of ΔVWX to the area of ΔHIG?

If cos(90° - x) = - 0.6, what is the value of sin(x)?

Given a circle with centre O, find ABT if ATB = 60°.

Find the value of y from the given two equations,

x = 8
- 9x - 9y = 9

Simplify and express your answer using a single exponent.

(12c⁶)²

In an A.P, there are three numbers. If the sum of these numbers is 36 and the product is 756, then which of the following will be the common difference?

In the given figure, AB is the diameter of the circle with centre O. The tangent at C meets BA produced at P. If ABC = 40°, find the measures of CAB and CPA, respectively.

The sum of n terms of an AP is n² + n. Find the common difference.

The ratio of the radii of two spheres is 2 : 1. What is the ratio of the surface areas of the two spheres?

What type of lines does the pair of given linear equations, 5x + 2y - 9 = 0 and x + 3y - 8 = 0, represent?

What is the value of cos 1° cos 2° cos 3° ... cos 179°?

What is the value of Q for which the system of equations has no solution?

Equations are:
x – Qy = 2 and 3x + 6y = - 5

An A.P. consists of 60 terms. If the first and last terms are 7 and 125 respectively, then find the 32^nd term.

Which of the following statements is true?

The area of a parallelogram ABCD is 50 cm², where base = 5 cm. If the length of the base and height are increased by 40%, then what will be the area of the new parallelogram?

If the radius of a circle is doubled, then what will be the ratio of the area of the new circle to the area of the old circle?

Which of the following statements is true according to the fundamental theorem of arithmetic?

For what value of are the following equations inconsistent?

x + 3y = - 3
12x + y =

40 circular plates, each of radius 5 cm and thickness 0.5 cm, are placed one above another to form a solid right cylinder. Find the total surface area (in cm²) of the cylinder so formed.

Jake made a toy at home which is in the form of a cone of radius 4.5 cm, mounted on a hemisphere with the similar radius. The total height of the toy is 17.5 cm. Find the total surface area of the toy.

What would be the approximate increase in grazing area if the rope were 14 m long, instead of 7 m?

A water can is in the form of a circular cylinder having volume 448π cm³, and height 7 cm. Find the diameter of its base.

Kanav marks numbers on the marbles in such a way that there are 19 marbles numbered 1, 2, 3, 4, ....., 17, 18, 19, and they are put in a box and mixed thoroughly. One of his friends picks the marble from the box. What is the probability of getting an odd number?

Three metal cubes of volumes 125 cubic cm, 64 cubic cm and 27 cubic cm are melted to form a new cube. Find the edge length of the new cube formed.

Rahul is cycling such that the wheels of the cycle are making 150 revolutions per minute. If the radius of each wheel is 30 cm, then calculate the speed (in kilometres per hour) with which Rahul is cycling?

In a cricket ground, during the drinks break, the water tank is used to serve water. The square water tank has its side equal to 40 m. There are four semi-circular grassy plots all around it. Find the cost of turfing the plots at Rs. 2.25 per m² using π as 3.14.

The radius of a cycle's wheel is 70 cm. How many times will the wheel revolve in order to cover a distance of 110 m?

For a right circular ice cone, the radius of the base and the height are 7 cm and 24 cm, respectively. What is the total surface area of that cone?

The combined age of a man and his wife is six times the combined age of their children. Two years ago, their combined age was ten times the combined age of their children, and six years hence, their combined age will be three times the combined age of their children. How many children do they have?

If the p^th, q^th and r^th terms of an A.P. are x, y and z respectively, then x(q - r) + y(r - p) + z(p - q) is

In the given figure, two circles with M and N as their centres have radii 25 cm and 9 cm, respectively, with 'PQ' as a common tangent. Find the length of PQ.

Fill in the blanks:

All the circles are _____. All the squares are ______. All _____ triangles are similar. Two polygons with same number of sides are similar, if their corresponding angles are ______ and their corresponding sides are _____.

A vertical building and a tower are on the same ground level. From the top of the building, the angle of elevation of the top of the tower is 45° and the angle of depression of the foot of the tower is 60°. Find the height of the tower if the height of the building is 30 m.