Question 11 Mark
Test the divisibility of the following numers by $3:$
$591282$
AnswerWe know that a number is divisible by $3$ if the sum of its digits is divisible by $3$ if the sum of its digits is divisble by $3.$ Therefore,$591282 - 5 + 9 + 1 + 2 + 8 = 27,$ is divisble by $3$
View full question & answer→Question 21 Mark
Test the divisibility of the following numbers by $10: 90$
AnswerWe know that a number is divisible by $10$ if its unit digit is $0. 90$ The number $90$ has $'0'$ at its unit's place so, it is divisible by $10.$
View full question & answer→Question 31 Mark
Test the divisibility of the following numbers by $11:22222$
AnswerA given number is divisible by $11,$ If the difference between the sum of its digitals at odd places and the sum of its digits at even places, is either $O$ or a number divisible by $11.$
$22222$
Sum of digit at odd places $= 2 + 2 + 2 = 6$
Sum of digit at even places $= 2 + 2 = 4$
Difference of the above sum $ = 6 - 4 = 2$
which is not divisible by $11$
$22222$ is not divisible by $11$
View full question & answer→Question 41 Mark
Test the divisibility of the following numbers by $10: 205$
AnswerWe know that a number is divisible by $10$ if its unit digit is $0. 205$ The number $205$ has $'5'$ at its unit's place so, it is not divisible by $10.$
View full question & answer→Question 51 Mark
Test the divisibility of the following numbers by $8:66664$
AnswerA given number is divisible by $8$ only when the number formed by its last three digits is divisible by $8.$Therefore,
$66664,$ is divisible by $8$ as last three digits $664$ is divisible by $8.$
View full question & answer→Question 61 Mark
Test the divisibility of the following numbers by $9: 32022$
AnswerWe know that a number is divisible by $9,$ if the sum of its digitals is divisible by $9.$ Therefore, $32022 3 + 2 + 0 + 2 + 2 = 9,$ is divisible by $9.$
View full question & answer→Question 71 Mark
Test the divisibility of the following numbers by $4:$
$39392$
AnswerWe know that a number is divisible by $4,$ only when the number formed by its last two digits is divisible by $4.$
Therefore,
$39392,$ is not divisible by $4$ as last two digits $92$ is not divisible by $4.$
View full question & answer→Question 81 Mark
Test the divisibility of the following numers by $5: 95$
AnswerWe know that a number is divisible by $5$ its unit digit is $0$ or $5.$
Therefore, $95$ The number $95$ has $'5'$ at its unit's place so,
it is divisible by $5.$
View full question & answer→Question 91 Mark
Test the divisibility of the following numbers by $8: 7350162$
AnswerA given number is divisible by $8$ only when the number formed by its last three digits is divisible by $8.$
Therefore,
$7350162,$ is not divisible by $8$ as last three digits $162$ is not divisible by $8.$
View full question & answer→Question 101 Mark
Test the divisibility of the following numers by $2: 285$
AnswerWe know that a number is divisible by $2$ only when its unit digit is $0, 2, 4, 6$ or $8. 285$ The number 285 has '5' at its unit's place so, it is divisible by $2.$
View full question & answer→MCQ 111 Mark
Tick $(\checkmark)$ the correct answer of following. If $x^7y^5$ is exactly divisible by $3,$ then the least value of $(x + y)$ is:
AnswerIf a number is divisible by $3,$ the sum of the digits is also divisible by $3.$
$4 + x + y + 7 = 11 + (x + y)$
For the sum to be divisible by $3:$
$11 + (x + y) = 12$
$\Rightarrow (x + y) = 1$
View full question & answer→Question 121 Mark
Test the divisibility of the following numbers by $9: 89361$
AnswerWe know that a number is divisible by $9,$ if the sum of its digitals is divisible by $9.$ Therefore, $89361 8 + 9 + 3 + 6 + 1 = 27,$ is divisible by $9.$
View full question & answer→Question 131 Mark
Test the divisibility of the following numers by $5:$
$98765$
AnswerWe know that a number is divisible by $5$ its unit digit is $0$ or $5.$
Therefore,
$98765$
The number $98765$ has $'5'$ at its unit's place so, it is divisible by $5.$
View full question & answer→Question 141 Mark
Test the divisibility of the following numbers by $8: 6132$
AnswerA given number is dovisible by $8$ only when the number formed by its last three digits is divisible by $8.6132,$ is not divisible by $8$ as last three digits $132$ is not divisible by $8.$
View full question & answer→Question 151 Mark
Test the divisibility of the following numers by $2: 66669$
AnswerWe know that a number is divisible by $2$ only when its unit digit is $0, 2, 4, 6$ or $8.$
$66669$ The number $66669$ has $'9'$ at its unit's place so, it is divisible by $2.$
View full question & answer→Question 161 Mark
Test the divisibility of the following numers by $3: 903164$
AnswerWe know that a number is divisible by $3$ if the sum of its digits is divisible by 3 if the sum of its digits is divisble by $3.$ Therefore, $903164 - 9 + 0 + 3 + 1 + 6 + 4 = 23,$ is not divisble by $3$
View full question & answer→Question 171 Mark
Test the divisibility of the following numers by $2: 46821$
AnswerWe know that a number is divisible by $2$ only when its unit digit is $0, 2, 4, 6$ or $8.$
$46821$ The number $46821$ has $'1'$ at its unit's place so, it is divisible by $2.$
View full question & answer→Question 181 Mark
Test the divisibility of the following numbers by $4: 99918$
AnswerWe know that a number is divisible by $4, $ only when the number formed by its last two digits is divisible by $4$. Therefore, $99918,$ is not divisible by $4$ as last two digits $18$ is not divisible by $4.$
View full question & answer→Question 191 Mark
Test the divisibility of the following numers by $3: 83$
AnswerWe know that a number is divisible by $3$ if the sum of its digits is divisible by $3$ if the sum of its digits is divisble by $3.$
Therefore, $83 - 8 + 3 = 11,$ is not divisble by $3$
View full question & answer→Question 201 Mark
The sum of the digits of a $2-$digit number is $6.$ The number obtained by interchanging its digits is $18$ more than the original number. Find the original number.
AnswerLet the two numbers of the two-digit number be $'a'$ and $'b'.$
$a + b = 6a + b = 6 ....(1)$ The number can be written as $(10a + b)(10a + b).$
After interchanging the digits, the number becomes $(10b + a).$
$(10a + b) + 18 = (10b + a)$
$9a - 9b = -18$
$a - b = -2a - b = -2 ....(2)$
$2a = 4$
$\Rightarrow a = 2$ Using $a = 2a = 2$ in equation$(1)$
$b = 6 - a = 6 - 2 = 4$ Therefore, the original number is $24.$
View full question & answer→Question 211 Mark
Test the divisibility of the following numbers by $9: 66888$
AnswerWe know that a number is divisible by $9,$ if the sum of its digitals is divisible by $9.$
Therefore, $66888 6 + 6 + 8 + 8 + 8 = 36,$ is divisible by $9.$
View full question & answer→Question 221 Mark
Test the divisibility of the following numbers by $8: 265472$
AnswerA given number is divisible by $8$ only when the number formed by its last three digits is divisible by $8.$
Therefore,
$265472,$ is divisible by $8$ as last three digits $472$ is not divisible by $8.$
View full question & answer→Question 231 Mark
Test the divisibility of the following numbers by $4: 3928$
AnswerWe know that a number is divisible by $4,$ only when the number formed by its last two digits is divisible by $4.$
Therefore, $3928,$ is divisible by $4$ as last two digits $28$ is divisible by $4.$
View full question & answer→Question 241 Mark
Test the divisibility of the following numbers by $4: 56794$
AnswerWe know that a number is divisible by $4,$ only when the number formed by its last two digits is divisible by $4.$
Therefore, $56794,$ is not divisible by $4$ as last two digits $94$ is not divisible by $4.$
View full question & answer→MCQ 251 Mark
Mark $(\checkmark)$ against the correct answer: If $7x , \ 8$ is exactly divisible by $3,$ then the least value of $x$ is:
AnswerIf a number is exactly divisible by $3,$
the sum of its digits is also divisible by $3.$
$7 + x + 8 = 15 + x$
$15 + x$ can be divisible by $3$ even if $x$ is equal to $0.$
View full question & answer→Question 261 Mark
Test the divisibility of the following numbers by $8:44444$
AnswerA given number is divisible by $8$ only when the number formed by its last three digits is divisible by $8.$Therefore,
$44444,$ is not divisible by $8$ as last three digits $444$ is not divisible by $8.$
View full question & answer→Question 271 Mark
Test the divisibility of the following numbers by $4:$
$77736$
AnswerWe know that a number is divisible by $4,$ only when the number formed by its last two digits is divisible by $4.$
Therefore,
$77736,$ is divisible by $4$ as last two digits $18$ is divisible by $4.$
View full question & answer→Question 281 Mark
Find three whole numbers whose product and sum are equal.
AnswerThe three whole numbers are $1, 2$ and $3.$
$1 + 2 + 3 = 6 = 1 × 2 × 3$
View full question & answer→Question 291 Mark
Test the divisibility of the following numers by $5: 42658$
AnswerWe know that a number is divisible by $5$ its unit digit is $0$ or $5.$ Therefore, $42658$ The number $42658$ has $'8'$ at its unit's place so, it is divisible by $5.$
View full question & answer→Question 301 Mark
Test the divisibility of the following numers by $3: 20345$
AnswerWe know that a number is divisible by $3$ if the sum of its digits is divisible by $3$ if the sum of its digits is divisble by $3.$ Therefore, $20345 - 2 + 0 + 3 + 4 + 5 = 14,$ is not divisble by $3$
View full question & answer→Question 311 Mark
Test the divisibility of the following numbers by $4: 66666$
AnswerWe know that a number is divisible by $4,$ only when the number formed by its last two digits is divisible by $4.$ Therefore, $66666,$ is not divisible by $4$ as last two digits $66$ is not divisible by $4.$
View full question & answer→Question 321 Mark
Test the divisibility of the following numbers by $9: 327$
AnswerWe know that a number is divisible by $9,$ if the sum of its digitals is divisible by $9.$ Therefore, $327 3 + 2 + 7 = 12,$ is not divisible by $9.$
View full question & answer→Question 331 Mark
Test the divisibility of the following numers by $5:$
$35790$
AnswerWe know that a number is divisible by $5$ its unit digit is $0$ or $5.$
Therefore,
$35790$
The number $35790$ has $'0'$ at its unit's place so, it is divisible by $5.$
View full question & answer→Question 341 Mark
Test the divisibility of the following numers by $2:$
$13576$
AnswerWe know that a number is divisible by $2$ only when its unit digit is $0, 2, 4, 6$ or $8.$
$13576$
The number $13576$ has $'6'$ at its unit's place so, it is divisible by $2.$
View full question & answer→Question 351 Mark
Test the divisibility of the following numers by $2: 79532$
AnswerWe know that a number is divisible by $2$ only when its unit digit is $0, 2, 4, 6$ or $8.$ $79532$ The number $79532$ has $'2'$ at its unit's place so, it is divisible by $2.$
View full question & answer→Question 361 Mark
Test the divisibility of the following numbers by $10: 1174$
AnswerWe know that a number is divisible by $10$ if its unit digit is $0. 1174$ The number $1174$ has $'4'$ at its unit's place so, it is not divisible by $10.$
View full question & answer→Question 371 Mark
Test the divisibility of the following numers by $2: 570$
AnswerWe know that a number is divisible by $2$ only when its unit digit is $0, 2, 4, 6$ or $8.$
$570$ The number $570$ has $'0'$ at its unit's place so, it is divisible by $2.$
View full question & answer→Question 381 Mark
Test the divisibility of the following numbers by $10: 60005$
AnswerWe know that a number is divisible by $10$ if its unit digit is $0. 60005$ The number $60005$ has $'5'$ at its unit's place so, it is not divisible by $10.$
View full question & answer→Question 391 Mark
Test the divisibility of the following numers by $3:378$
AnswerWe know that a number is divisible by $3$ if the sum of its digits is divisible by $3$ if the sum of its digits is divisble by $3.$ Therefore,$378 - 3 + 7 + 8 = 18,$ is divisble by $3$
View full question & answer→Question 401 Mark
Test the divisibility of the following numers by $2: 2398$
AnswerWe know that a number is divisible by $2$ only when its unit digit is $0, 2, 4, 6$ or $8.$
$2398$ The number $2398$ has $'8'$ at its unit's place so, it is divisible by $2.$
View full question & answer→Question 411 Mark
Test the divisibility of the following numers by $2: 94$
AnswerWe know that a number is divisible by $2$ only when its unit digit is $0, 2, 4, 6$ or $8.$ $94$ The number $94$ has $'4'$ at its unit's place so, it is divisible by $2.$
View full question & answer→Question 421 Mark
Test the divisibility of the following numbers by $8: 59312$
AnswerA given number is divisible by $8$ only when the number formed by its last three digits is divisible by $8$.Therefore,
$59312,$ is divisible by $8$ as last three digits $312$ is divisible by $ 8$.
View full question & answer→Question 431 Mark
Test the divisibility of the following numbers by $4: 86102$
AnswerWe know that a number is divisible by $4,$ only when the number formed by its last two digits is divisible by $4.$ Therefore, $86102,$ is not divisible by $4$ as last two digits $02$ is not divisible by $4.$
View full question & answer→Question 441 Mark
Test the divisibility of the following numbers by $4:618$
AnswerWe know that a number is divisible by $4,$ only when the number formed by its last two digits is divisible by $4.$ Therefore,$618,$ is not divisible by $4$ as last two digits $18$ is not divisible by $4.$
View full question & answer→Question 451 Mark
Test the divisibility of the following numers by $3: 100002$
AnswerWe know that a number is divisible by $3$ if the sum of its digits is divisible by $3$ if the sum of its digits is divisble by $3.$ Therefore,$100002 - 1 + 0 + 0 + 0 + 0 + 2 = 3,$ is not divisble by $3$
View full question & answer→Question 461 Mark
Test the divisibility of the following numers by $2: 84663$
AnswerWe know that a number is divisible by $2$ only when its unit digit is $0, 2, 4, 6$ or $8.$ $84663$ The number $84663$ has $'3'$ at its unit's place so, it is divisible by $2.$
View full question & answer→Question 471 Mark
Test the divisibility of the following numers by $3: 474$
AnswerWe know that a number is divisible by $3$ if the sum of its digits is divisible by $3$ if the sum of its digits is divisble by $3.$ Therefore,$474 - 4 + 7 + 4 = 15,$ is divisble by $3$
View full question & answer→Question 481 Mark
Test the divisibility of the following numbers by $4: 50176$
AnswerWe know that a number is divisible by $4,$ only when the number formed by its last two digits is divisible by $4.$ Therefore, $50176,$ is not divisible by $4$ as last two digits $76$ is not divisible by $4.$
View full question & answer→Question 491 Mark
Test the divisibility of the following numers by $5: 2735$
AnswerWe know that a number is divisible by $5$ its unit digit is $0$ or $5.$ Therefore, $2735$ The number $2735$ has $'5'$ at its unit's place so, it is divisible by $5.$
View full question & answer→Question 501 Mark
Test the divisibility of the following numbers by $4:134$
AnswerWe know that a number is divisible by $4,$ only when the number formed by its last two digits is divisible by $4$. Therefore,$134,$ is not divisible by $4$ as last two digits $34$ is not divisible by $4.$
View full question & answer→Question 511 Mark
Test the divisibility of the following numbers by $10: 57930$
AnswerWe know that a number is divisible by $10$ if its unit digit is $0. 57930$ The number $57930$ has $'0'$ at its unit's place so, it is not divisible by $10.$
View full question & answer→Question 521 Mark
Test the divisibility of the following numers by $3: 1693$
AnswerWe know that a number is divisible by $3$ if the sum of its digits is divisible by $3$ if the sum of its digits is divisble by $3.$ Therefore,$1693 - 1 + 6 + 9 + 3 = 19,$ divisble by $3$
View full question & answer→Question 531 Mark
Test the divisibility of the following numers by $5: 77990$
AnswerWe know that a number is divisible by $5$ its unit digit is $0$ or $5.$ Therefore, $77990$ The number $77990$ has $'0'$ at its unit's place so, it is divisible by $5.$
View full question & answer→Question 541 Mark
Test the divisibility of the following numbers by $9:$
$7524$
AnswerWe know that a number is divisible by $9,$ if the sum of its digitals is divisible by $9.$
Therefore,
$7524$
$7 + 5 + 2 + 4 = 18,$ is divisible by $9.$
View full question & answer→Question 551 Mark
Test the divisibility of the following numbers by $9:$
$33333$
AnswerWe know that a number is divisible by $9,$ if the sum of its digitals is divisible by $9.$
Therefore,
$33333$
$3 + 3 + 3 + 3 + 3 = 15,$ is not divisible by $9.$
View full question & answer→Question 561 Mark
Test the divisibility of the following numbers by $9: 14799$
AnswerWe know that a number is divisible by $9,$ if the sum of its digitals is divisible by $9.$ Therefore, $14799 1 + 4 + 7 + 9 + 9 + 9 = 30,$ is not divisible by $9.$
View full question & answer→Question 571 Mark
Test the divisibility of the following numbers by $9:64302$
AnswerWe know that a number is divisible by $9,$ if the sum of its digitals is divisible by $9. $ Therefore, $64302$
$6 + 4 + 3 + 0 + 2 = 15,$ is not divisible by $9.$
View full question & answer→Question 581 Mark
Test the divisibility of the following numers by $5: 1056$
AnswerWe know that a number is divisible by $5$ its unit digit is $0$ or $5$. Therefore, $1056$ The number $1056$ has $'6'$ at its unit's place so, it is divisible by $5.$
View full question & answer→Question 591 Mark
Test the divisibility of the following numbers by $9:$
$30006$
AnswerWe know that a number is divisible by $9,$ if the sum of its digitals is divisible by $9.$
Therefore,
$30006$
$3 + 0 + 0 + 0 + 6 = 9,$ is divisible by $9.$
View full question & answer→Question 601 Mark
Test the divisibility of the following numbers by $8:$
$7304$
AnswerA given number is divisible by $8$ only when the number formed by its last three digits is divisible by $8.$Therefore,
$7304,$ is divisible by $8$ as last three digits $304$ is not divisible by $8.$
View full question & answer→Question 611 Mark
Test the divisibility of the following numers by $3:$
$67035$
AnswerWe know that a number is divisible by $3$ if the sum of its digits is divisible by $3$ if the sum of its digits is divisble by $3.$ Therefore,$67035 - 6 + 7 + 0 + 3 + 5 = 21,$ divisble by $3$
View full question & answer→Question 621 Mark
Test the divisibility of the following numers by $5: 55053$
AnswerWe know that a number is divisible by $5$ its unit digit is $0$ or $5.$ Therefore, $55053$ The number $55053$ has $'3'$ at its unit's place so, it is divisible by $5.$
View full question & answer→Question 631 Mark
Test the divisibility of the following numbers by $8:154630$
AnswerA given number is divisible by $8$ only when the number formed by its last three digits is divisible by $8.$Therefore,
$154360,$ is divisible by $8$ as last three digits $360$ is not divisible by $8.$
View full question & answer→Question 641 Mark
Test the divisibility of the following numbers by $8:$
$998818$
AnswerA given number is divisible by $8$ only when the number formed by its last three digits is divisible by $8.$Therefore,
$998818,$ is not divisible by $8$ as last three digits $818$ is not divisible by $8.$
View full question & answer→Question 651 Mark
Test the divisibility of the following numers by $5: 470$
AnswerWe know that a number is divisible by $5$ its unit digit is $0$ or $5.$ Therefore, $470$ The number $470$ has $'0'$ at its unit's place so, it is divisible by $5.$
View full question & answer→