# Welcome to Bose Intermediate Maths Olympiad

# For students in Class 5 to 8

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Thank you for attending the first round of Bose Maths Olympiad. We will announce the results in a week.

If you qualify for the second round, we will inform you about the dates of online training sessions. Keep on doing great mathematics.

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- Question 1 of 10
##### 1. Question

How many natural numbers between 1000 and 4000 contain the digit 3?

CorrectIncorrect - Question 2 of 10
##### 2. Question

What is the product of the mean , median, and mode of the numbers \(12,23,0,13,1,42,1,13,34,13\)?

CorrectIncorrect - Question 3 of 10
##### 3. Question

Ricky , Vicky , Parbo and Indrani are seated at random around a circular table. What is the probability that Ricky and Indrani are seated adjacent to each other ? ( round your answer to 2 decimal places )

CorrectIncorrect - Question 4 of 10
##### 4. Question

Let C is the third largest divisor of K , where K is the greatest four-digit number whose digits have a product of 945 .Then find the value of the product of digits of C.

CorrectIncorrect - Question 5 of 10
##### 5. Question

Let A= \( \frac{1}{(1 \times 3 \times5)} + \frac{1}{(3 \times 5 \times 7)} + \frac{1}{(5 \times 7\times 9)} + \frac{1}{(7 \times 9 \times 11)} +\frac{1}{(9 \times 11 \times 13)} \) .Then find the value of \( \frac{429}{70} \times A \)

CorrectIncorrect - Question 6 of 10
##### 6. Question

Simple interest on a sum of money for 3 years at \(6 \frac{1}{4} \%\) per annum is Rs 2400 . What will be the compound interest on that sum at the same rate for the same period?

CorrectIncorrect - Question 7 of 10
##### 7. Question

The parallel sides of a trapezium are \( 20 \)cm and \( 10 \) cm. Its non-parallel sides are both equal, each being \(13 \) cm . Find the area of the trapezium.

CorrectIncorrect - Question 8 of 10
##### 8. Question

AB and CD are two chords of a circle such that A B=6 cm , CD=12 cm and AB||CD. If the distance between A B and C D is 3 cm , find the radius of the circle. (Round off your answer to 1 place of decimal )

CorrectIncorrect - Question 9 of 10
##### 9. Question

After striking a floor a certain ball rebounds \( \frac{4}{5}^{th} \) of the height from which it has fallen.Find the total distance that it travels before coming to rest, if it is gently dropped from a height of 120 metres.

CorrectIncorrect - Question 10 of 10
##### 10. Question

Find the number of boundary points in the domain of definition of the function \( f(x) \) given by \( f(x)=\frac{1}{\log _{10}(1-x)}+\sqrt{x+2} \) .

CorrectIncorrect