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 x 9 = 306, 12 x 8 = 609 and 16 x 4 = 406, then 19 x 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

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 %

Find the odd one out.

BC125A, HI216G, PQ343O, GH242F

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

ACEG : BDFH : : IKMO : ?

Complete the following number series:

5, 26, 65, 122, 197, __

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

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

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?

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

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

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

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?

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?

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?

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?

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 _____.