IMO Olympiad Work Book 8>Chapter 16 - Playing with Numbers>MATHEMATICAL REASONING>Q 9

MEDIUM

8th Foundation

IMPORTANT

Earn 100

A five digit number $x y 235$ is divisible by $3$ such that $x + y < 5$ , where $x$ and $y$ are single digits, then possible values of $(x, y)$ are _____.

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Important Questions on Playing with Numbers

MEDIUM

8th Foundation

IMPORTANT

IMO Olympiad Work Book 8>Chapter 16 - Playing with Numbers>MATHEMATICAL REASONING>Q 10

If

1 A B + C C A 697

and there is no carry on addition then the value of

B

is _____.

MEDIUM

8th Foundation

IMPORTANT

IMO Olympiad Work Book 8>Chapter 16 - Playing with Numbers>MATHEMATICAL REASONING>Q 11

If

N

divided by

5

leaves a remainder of

3

then one’s digit of

N

must be _____.

MEDIUM

8th Foundation

IMPORTANT

IMO Olympiad Work Book 8>Chapter 16 - Playing with Numbers>MATHEMATICAL REASONING>Q 12

Given that the number

67 y 19

is divisible by

9

, where

y

is a single-digit. What is the least possible value of

y

?

MEDIUM

8th Foundation

IMPORTANT

IMO Olympiad Work Book 8>Chapter 16 - Playing with Numbers>MATHEMATICAL REASONING>Q 13

A

3

-digit number

‘ c b a ’

is divisible by

3

if _____.

MEDIUM

8th Foundation

IMPORTANT

IMO Olympiad Work Book 8>Chapter 16 - Playing with Numbers>MATHEMATICAL REASONING>Q 14

If

A B \times A 3 57 B

, then the value of

B

is _____.

EASY

8th Foundation

IMPORTANT

IMO Olympiad Work Book 8>Chapter 16 - Playing with Numbers>ACHIEVERS SECTION (HOTS)>Q 15

In a division, a divisor is

12

times the quotient and

5

times the remainder. If the remainder is

48

, then dividend is _____.

MEDIUM

8th Foundation

IMPORTANT

IMO Olympiad Work Book 8>Chapter 16 - Playing with Numbers>ACHIEVERS SECTION (HOTS)>Q 16

Which of the following statements is incorrect?

MEDIUM

8th Foundation

IMPORTANT

IMO Olympiad Work Book 8>Chapter 16 - Playing with Numbers>ACHIEVERS SECTION (HOTS)>Q 17

Fill in the blanks.

If sum of $3 -$ digit numbers $x y z$ , $y z x$ and $z x y$ is divided by $(x + y + z$ ), then quotient is $P$ .
The difference between $2$ – digit numbers $a b$ and $b a$ (where $> b$ ) is divided by $3$ . The quotient is $Q$ .
Sum of a $2 -$ digit number and the number obtained by reversing its digit is always divisible by $R$ .