IMO - Mock Test...

Find the odd one out from the following:

8, 27, 125, 333, 1331, 2197

Complete the following series:

59, 71, 95, 131, 179, 239, ?

In a certain code language, "GLASS" is coded as HMBTT. How will you code MIC in that language?

Goel drove a longer distance than Anil drove, but a shorter distance than Arnav drove. Who drove the longest distance?

Complete the following series:

6, 9, 18, 21, 42, 45, ___

Complete the series:

233, 250A, 284B, 335C, 403D, ?

Find the smallest number by which 243 must be multiplied to obtain a perfect cube.

Find the value of 'a' if 3^2a × 3^-2 = 3⁴.

Find out the roots of the given quadratic equation:

x² + x – 56 = 0

Which of the following are the factors of 8xy - 4y + 6 - 12x ?

Nakul sold 2 cars. First car he sold at 22% profit and the second one he sold at 18% loss. If the total cost price of each car is Rs. 80,000, find the total profit.

Find the largest angle in a quadrilateral if the angles are in the ratio 2 : 4 : 3 : 1.

What minimum number should be divided by 392 to make the number a perfect cube?

Ussen is 3 years older than Salman and 3 years younger than Sohail, while Salman and Arbaaj are twins. How many years older is Sohail than Arbaaj?

What is the solution for the following equation if we substitute the value of variable as 2?

5x² – x – 5

Ramakant makes a cuboid of sides 14 cm, 7 cm, 7 cm. How many such cuboids will he need to form a cube.

Simplify the following expression:

(7xy² - 8x²y + 3xy) - (-6x²y + 9xy² + 5xy)

A cricketer scored a total of 82 runs in 104 balls. He hit 6 sixes, 9 fours, 3 twos and 4 singles. Find the percentage of the total runs that came through sixes.

The average of marks obtained by 10 students is x. If each observation is increased by 5, then what is the new average?

A metro train passes through a station every 5 minutes. How many trains will pass through the station in 2/3 of an hour if a train has just passed now?

What will be the lateral surface area (in sq. units) of the cube if its volume is 216 cu. units?

Which of the following numbers is not a perfect cube?

Study the statements given below and choose the correct option.

Statement-1: A line segment joining two points on a circle's circumference and passing through the circle's centre is known as the longest chord of the circle.
Statement-2: (56.32)² lies between 3150 and 3450.