IMO Olympiad Work Book 9>Chapter 17 - SOF International Mathematics Olympiad>MATHEMATICAL REASONING>Q 20

EASY

9th Foundation

IMPORTANT

Earn 100

Which of the following statements is INCORRECT ?Enable GingerCannot connect to Ginger Check your internet connection
or reload the browserDisable in this text fieldRephraseRephrase current sentenceEdit in Ginger×

50% studentsanswered this correctly

Important Questions on SOF International Mathematics Olympiad

EASY

9th Foundation

IMPORTANT

IMO Olympiad Work Book 9>Chapter 17 - SOF International Mathematics Olympiad>MATHEMATICAL REASONING>Q 21

A bag contains

8

yellow,

3

pink,

2

green and

7

red candies of similar size. A candy is taken out randomly from the bag. What is the probability that the chosen candy is of red colour ?

MEDIUM

9th Foundation

IMPORTANT

IMO Olympiad Work Book 9>Chapter 17 - SOF International Mathematics Olympiad>MATHEMATICAL REASONING>Q 22

In the given figure, $△ A B C$ and $△ P B C$ are two isosceles triangles on the same base $B C$ and vertices $A$ and $P$ are on the same side of $B C$ . If $A$ and $P$ are joined. Then,

` Question Image `

EASY

9th Foundation

IMPORTANT

IMO Olympiad Work Book 9>Chapter 17 - SOF International Mathematics Olympiad>MATHEMATICAL REASONING>Q 23

The volume of a cylinder of radius

r

is

\frac{1}{4}

of the volume of a rectangular box with a square base of side length

x

. If the cylinder and the box have equal heights, then what is the value of

r

in terms of

x

?

EASY

9th Foundation

IMPORTANT

IMO Olympiad Work Book 9>Chapter 17 - SOF International Mathematics Olympiad>MATHEMATICAL REASONING>Q 24

What could be the possible values of

X

, if

2345691 X 32

is divisible by

3

( where

X

is a digit)?

EASY

9th Foundation

IMPORTANT

IMO Olympiad Work Book 9>Chapter 17 - SOF International Mathematics Olympiad>MATHEMATICAL REASONING>Q 25

In the given figure (not drawn to scale), $A B C D$ and $P Q R S$ are parallelograms. Find the value of $x$ .

` Question Image `

EASY

9th Foundation

IMPORTANT

IMO Olympiad Work Book 9>Chapter 17 - SOF International Mathematics Olympiad>MATHEMATICAL REASONING>Q 26

The denominator of

\frac{a + \sqrt{a^{2} - b^{2}}}{a - \sqrt{a^{2} - b^{2}}} + \frac{a - \sqrt{a^{2} - b^{2}}}{a + \sqrt{a^{2} - b^{2}}}

is _____.

MEDIUM

9th Foundation

IMPORTANT

IMO Olympiad Work Book 9>Chapter 17 - SOF International Mathematics Olympiad>MATHEMATICAL REASONING>Q 27

If

p = 2 - \sqrt{3}, q = \sqrt{3} - \sqrt{7}

and

r = \sqrt{7} - \sqrt{4}

, then find the value of

p^{3} + q^{3} + r^{3}

.

MEDIUM

9th Foundation

IMPORTANT

IMO Olympiad Work Book 9>Chapter 17 - SOF International Mathematics Olympiad>MATHEMATICAL REASONING>Q 28

Three identical spherical balls fit snugly into a cylindrical can. The radius of each of the spherical ball equals the radius of the can and the balls just touch the bottom and the top of the can. What fraction of the volume of the can is taken up by the balls?