MCQ

MCQ 11 Mark

If $36x\ 52y\ 8$ is divisible by $9$, then $x + y$ is

A
$2$
✓
$3$
C
$4$
D
$5$

Answer

Correct option: B.

$3$

$\because 36x\ 52y\ 8$ is divisible by $9$
$\therefore 3 + 6 + 5 + 2 + 8 + x + y$
$\Rightarrow 24 + x + y$ is divisible by $9$
$24 + (x + y) = 27$
$x + y = 27 – 24 = 3$

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MCQ 21 Mark

If $467\times 8$ is divisible by $3$, then value of $x$

A
$1$
✓
$2$
C
$3$
D
$4$

Answer

Correct option: B.

$2$

$\because 467\times 8$ is divisible by $3$
$\therefore 4 + 6 + 7 + 8 + x = 25 + x$ is divisible by $3$
$\therefore 25 + x = 27, 30, 33$
$\therefore x = 2, 5, 8$
$x = 2$

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MCQ 31 Mark

Which of the following numbers is not divisible by $9$?

A
$24354$
B
$24453$
C
$24534$
✓
$24564$

Answer

Correct option: D.

$24564$

Which of the following is not divisible by $9$.
$24564$ as the sum of its digits is not divisible by $9$.

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MCQ 41 Mark

Which of the following numbers is divisible by $11$?

✓
$725824$
B
$752824$
C
$725842$
D
$725482$

Answer

Correct option: A.

$725824$

Which of the following is divisible by $11$.
$725824$ as the difference of the sum of digits at odd places and sum of digit an even place is divisible by $11$.

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MCQ 51 Mark

Which of the following numbers is divisible by $8$?

A
$32466$
B
$32476$
C
$32486$
✓
$32456$

Answer

Correct option: D.

$32456$

Which of the following is divisible by $8$.
$32456$ as number formed by last three digits $456$ is divisible by $8$.

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MCQ 61 Mark

Which of the following numbers is divisible by $4$ ?

✓
$98764$
B
$98746$
C
$98674$
D
$98647$

Answer

Correct option: A.

$98764$

Which of given number is divisible by $4$.
$98764$ as number forming last two digits is $64$ which is divisible by $4.$

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MCQ 71 Mark

Which of the following numbers is not divisible by $10$?

A
$32570$
B
$32750$
C
$32500$
✓
$32075$

Answer

Correct option: D.

$32075$

Which of the given number is not divisible by $10$
$32075, ($as it’s unit digit is not zero$) $

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MCQ 81 Mark

Which of the following numbers is not divisible by $2$ ?

A
$437218$
✓
$437821$
C
$437812$
D
$437182$

Answer

Correct option: B.

$437821$

Which of the following is not divisible by $2$
$437821$ as it’s unit digit is $1.$

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MCQ 91 Mark

If $A + A + A = BI$, where $A$ and $B$ are different digits, then

A
$A = 1, B = 5$
B
$A = 5, B = 2$
✓
$A = 5, B = 1$
D
$A = 7, B = 2$

Answer

Correct option: C.

$A = 5, B = 1$

$A+A+A=B I$, where $A$ and $B$ are different digits then $A=7, B=2$.
As unit digit of sum $=1$
$\therefore$ A will be $\frac{21}{3}=7$
$\left\{\because \frac{11}{3}, \frac{31}{3}\right.$ are not naturals $\}$
$\therefore A=7, B=2$

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MCQ 101 Mark

When the sum of a $3-$ digit number abc and numbers obtained by changing the order of the digits cyclically is divided by $111$, then quotient is

A
$37$
B
$a – b + c$
✓
$a + b + c$
D
$3$

Answer

Correct option: C.

$a + b + c$

Sum of $3-$digit number abc and number obtained by changing the order of the digits cyclically is divided by $111,$ then quotient is $a + b + c$.

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MCQ 111 Mark

When the sum of a $2-$ digit number ab and number obtained by reversing the digits is divided by $(a + b)$, then quotient is

A
$a – b$
B
$9$
✓
$11$
D
None of these

Answer

Correct option: C.

$11$

A $2-$ digit number ab and number obtained by reversing the digit is divided by $(a + b)$, then the quotient is $11$.

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