Match the following. Column I Column I I P Rational form of 0 . 32 14 55 Q Rational form of 0 . 2 54 is 11 45 R Rational form of 0 . 12 is 32 99 S Rational form of 0 . 24 is 11 90

( P ) → ( i i i ) ; ( Q ) → ( i ) ; ( R ) → ( i v ) ; ( S ) → ( i i )

( P ) → ( i i i ) ; ( Q ) → ( i v ) ; ( R ) → ( i ) ; ( S ) → ( i i )

( P ) → ( i v ) ; ( Q ) → ( i ) ; ( R ) → ( i i ) ; ( S ) → ( i i i )

( P ) → ( i ) ; ( Q ) → ( i i i ) ; ( R ) → ( i v ) ; ( S ) → ( i i )

E M B I B E

IMO Olympiad Work Book 10>Chapter 1 - Real Numbers>MATHEMATICAL REASONING>Q 10

MEDIUM

10th Foundation

IMPORTANT

Earn 100

The value 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

57.14% studentsanswered this correctly

Important Questions on Real Numbers

EASY

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 1 - Real Numbers>MATHEMATICAL REASONING>Q 11

The rationalising factor of

\sqrt[7]{x^{3} y^{5} z^{2}}

is

EASY

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 1 - Real Numbers>MATHEMATICAL REASONING>Q 12

Which of the following is an irrational numbers.

EASY

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 1 - Real Numbers>MATHEMATICAL REASONING>Q 13

According to the fundamental theorem of arithmetic, if

p

(a prime number) divides

b^{2}

and

b

is positive, then

EASY

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 1 - Real Numbers>EVERYDAY MATHEMATICS>Q 14

In a seminar the number of participants in mathematics, physics and biology are

192, 240

and

168

. Find the minimum number of room required if in each room same number of participants is to be seated and all of them being in the same subject.

EASY

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 1 - Real Numbers>EVERYDAY MATHEMATICS>Q 15

Sam, Advik and Trishu go for a morning walk. They step off together and their steps measure

35 cm, 32 cm

and

40 cm

respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps?

EASY

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 1 - Real Numbers>EVERYDAY MATHEMATICS>Q 16

A boy multiplied

987

by a certain number and obtained

559981

as his answer. If in the answer both

9

s are wrong and the other digits are correct, then the correct answer would be

EASY

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 1 - Real Numbers>EVERYDAY MATHEMATICS>Q 17

Four different electronic devices make a beep after every

30

minutes,

1

hour,

1 \frac{1}{2}

hour and

1

hour

45

minutes respectively. All the devices beeped together at

12

noon. They will again beep together at

MEDIUM

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 1 - Real Numbers>ACHIEVERS SECTION (HOTS)>Q 18

Match the following.

Column $I$	Column $I I$
$(P)$ Rational form of $0.32$	$\frac{14}{55}$
$(Q)$ Rational form of $0.254$ is	$\frac{11}{45}$
$(R)$ Rational form of $0.12$ is	$\frac{32}{99}$
$(S)$ Rational form of $0.24$ is	$\frac{11}{90}$

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The value of a+a2-b2a-a2-b2+a-a2-b2a+a2-b2 is

Important Questions on Real Numbers

Learn and Prepare for any exam you want !

The value 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