Playing with Numbers - Jharkhand Board (JAC) STD 8 Maths Questions

Q 1M.C.Q. [1 Marks Each]1 Mark

Mark $(\checkmark)$ against the correct answer: If $6\times5$ is exactly divisible by $9,$ then the least value of $x$ is

A
$1$
B
$4$
✓
$7$
D
$0$

Answer: C.

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Q 2M.C.Q. [1 Marks Each]1 Mark

Tick $(\checkmark)$ the correct answer of following. If the $4-$digit number $x27y$ is exactly divisible by $9,$ then the least value of $(x + y)$ is:

A
$0$
B
$3$
C
$6$
✓
$9$

Answer: D.

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Q 3M.C.Q. [1 Marks Each]1 Mark

Mark $(\checkmark)$ against the correct answer: If $x48y$ is exactly divisible by $9$ then the least value of $(x + y)$is:

A
$4$
B
$0$
✓
$6$
D
$7$

Answer: C.

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Q 4M.C.Q. [1 Marks Each]1 Mark

Tick $(\checkmark)$ the correct answer of following. If $1A2B5$ is exactly divisible by $9,$ then the least value of $(A + B)$ is:

A
$0$
✓
$1$
C
$2$
D
$10$

Answer: B.

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Q 5M.C.Q. [1 Marks Each]1 Mark

Tick $(\checkmark)$ the correct answer of following. If $4xy7$ is exactly divisible by $3,$ then the least value of $(x + y)$ is:

✓
$1$
B
$4$
C
$5$
D
$7$

Answer: A.

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Q 62 Marks Questions2 Marks

Find two numbers whose product is a $1-$digit number and the sum is a $2-$digit number.

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Q 72 Marks Questions2 Marks

Replace $A, B, C$ by suitable numerals:

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Q 82 Marks Questions2 Marks

Test the divisibility of the following numbers by $11: 7531622$

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Q 92 Marks Questions2 Marks

Replace $A, B, C$ by suitable numerals. $\underline{ \ \ \ \ 4 \ \text{C B } \ 6\\+3 \ \ 6\ \ 9\text{ A}}\\ \ \ \ \ 8\ \ 1\ \ 7\ \ 3$

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Q 102 Marks Questions2 Marks

Replace $A, B, C$ by suitable numerals. $\underline{ \ \ \text{ A}\\\text{+A}\\\text{+A }}\\\underline{ \text{ BA } }$

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Q 113 Marks Question3 Marks

Find all possible values of $x$ for which the $4-$digit number $320x$ is divisible by $3.$ Also, find the numbers.

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Q 123 Marks Question3 Marks

Find the values of $A, B, C$ when

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Q 133 Marks Question3 Marks

In a two-digit number, the digit at the units place is double the digit in the tens place. The number exceeds the sum of its digits by $18.$ Find the number.

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Q 143 Marks Question3 Marks

Replace $A, B, C$ by suitable numerals. $ \ \ \ \ \ \ \text{AB}\\\underline{ \ \ \ \times \ 3}\\\underline{ \ \ \text{CAB}}$

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Q 153 Marks Question3 Marks

Give five examples of numbers, each one of which is divisible by $3$ but not divisible by $9.$

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Q 165 Marks Questions5 Marks

Replace $A, B, C$ by suitable numerals.
$ \ \ \ \ \ \ \ \ \ \ \ \text{A B}\\\underline{ \ \ \ \ \ \ \times\text{B A}}\\\underline{\text{(B+1)}\text{C B}}$

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Q 175 Marks Questions5 Marks

The sum of the digits of a two-digit number is $15$. The number obtained by interchanging its digits exceeds the given number by $9$. Find the original number.

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Q 181 Marks Question1 Mark

Test the divisibility of the following numers by $3:$
$591282$

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Q 191 Marks Question1 Mark

Test the divisibility of the following numbers by $10: 90$

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Q 201 Marks Question1 Mark

Test the divisibility of the following numbers by $11:22222$

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Q 211 Marks Question1 Mark

Test the divisibility of the following numbers by $10: 205$