Question

10. Write all the three-digit numbers between 100 and 160 which are
• divisible by 2
and
• not divisible by 4
and
• divisible by 5

Answer 1

divisible by 2 =102 ,104,106,108 +2 add kar kar ke likhe

Answer 2

Answer:

(a) $102,104,106,108,110$, $112,114,116,118,120$, $122,124,126,128,130$, $132,134,$

    $136,138,140,142,144,146,148,150,152,154,156,158$

(b) $101,102,103,105,106,107,109,110,111,112,113,114,115,$$117,118,119$$,121,$

    $122,123,125,126,127,129,130,131,133,134,135,137,138,139,141,142,143,$

    $145,146,147,149,150,151,153,154,155,157,158,159$

(c) $105,110,115,120,125,130,135,140,145,150,155$

Step-by-step explanation:

The three-digit numbers between $100$ and $160$ are:

$101,\ 102,\ 103,\ .\ .\ .\ ,158,\ 159$

⇒ there are $59$ three-digit numbers.

(a) Divisible by $2$

Since all even numbers are divisible by $2$.

Thus, the three-digit numbers between $100$ and $160$ which are divisible by $2$ are:

$102,104,106,108,110$, $112,114,116,118,120$, $122,124,126,128,130$, $132,134,$ $136,138,140,142,144,146,148,150,152,154,156,158$

(b) Not divisible by $4$

If the last two-digits of any number is not divisible by $4$, then the number is not $divisible$ by $4$.

Thus, the three-digit numbers between $100$ and $160$ which are not divisible by $4$ are:

$101,102,103,105,106,107,109,110,111,112,113,114,115,$$117,118,119$$,121,$

$122,123,125,126,127,129,130,131,133,134,135,137,138,139,141,142,143,$

$145,146,147,149,150,151,153,154,155,157,158,159$

(c) Divisible by $5$

The numbers which are divisible by $5$ either have $0$ or $5$ at unit's place.

Thus, the three-digit numbers between $100$ and $160$ which are divisible by $5$ are:

$105,110,115,120,125,130,135,140,145,150,155$

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