IMO - Mock Test...

If '×' stands for 'addition', '÷' stands for 'subtraction', '+' stands for 'multiplication' and '-' stands for 'division', then which of the following equations is correct?

Find the odd one out from the given options.

An A.P. consists of 53 terms. If the last term and the first term be 216 and 8 respectively, then find the value of 48^th term.

What will be the H.C.F of three numbers which are in ratio of 3 : 5 : 7 and their L.C.M is 1575?

The point which divides the line joining (1, 2) and (3, 4) internally in the ratio of 1 : 1 lies in which quadrant?

x = 17¹² + 10¹² and y = 16⁶ + 9⁶. If x - y is divided by 13, then the remainder is R₁ and if it is divided by 14, then the remainder is R₂. What is (R₁, R₂)?

If the LCM of two whole numbers is twice their HCF, then what is the ratio of the larger number to the smaller number?

On 2^nd July 1985, it was Wednesday. The day of the week on 2^nd July, 1984 was

Rina participated in a quiz which consisted of 30 questions, out of which some were multiple choice questions and the rest were subjective questions. Each multiple choice question carried 2 marks and each subjective question carried 5 marks. The quiz was of 75 marks. Find out the number of multiple choice questions asked in the quiz.

On a busy day, 2000 sweets were sold by a confectionery. Total amount collected on that day was Rs. 9600. If the cost of mint flavoured sweets is Rs. 8/sweet, the cost of chocolate sweets is Rs 4/sweet, then how many mint sweets and chocolates sweets were sold that day?

Three plots having areas 132, 204 and 228 square metres are to be sub-divided into equal sized flower beds. If the breadth of a bed is 3 metres, then find the maximum length that each bed can have.

A pencil is cylindrical in shape with a length of 20 cm and a cross-sectional radius of 1 cm. It is sharpened using a good sharpener on both the sides such that the shape on either end of the cylindrical pencil is that of a right circular cone with a height of 3 cm. If there is no change in the net length of the pencil due to sharpening, what is the volume of the material that was removed from the pencil to sharpen the edges?

Two farmers Ravi and Ram have 40 goats in total. They sell their goats at different prices, but each of them receives the same amount of money. If Ravi had sold his goats at Ram's price, he would have received Rs. 5,400. If Ram had sold his goats at Ravi's price, he would have received Rs. 2,400. How many goats does Ravi have in total?