M.C.Q. [1 Marks Each]

MCQ 11 Mark

Mark the correct alternative in the following: The difference of the smallest three digit number and the largest two digit number is:

A
$100$
✓
$1$
C
$10$
D
$99$

Answer

Correct option: B.

$1$

The smallest three-digit number is $100$ and the largest two-digit number is $99$.
$\therefore$ Difference $= 100 - 99 = 1$

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MCQ 21 Mark

Mark the correct alternative in the following: $2985$ is rounded off to the nearest hundred and the nearest tens. The difference between the two values is:

A
$5$
B
$100$
✓
$10$
D
$150$

Answer

Correct option: C.

$10$

In $2985$ the last two digits i.e., $85$ is greater than $50$.
Hence, $1$ will be added to the $3$rd last digit and the last two digits will become zero.
After rounding to nearest hundred we will get $3000$.
Again, In $2985$ the last digit i.e., $5$ is equal to $5$.
Hence, $1$ will be added to the $2$nd last digit and the last digit will become zero.
After rounding to nearest ten we will get $2990$.
Required difference $= 3000 - 2990 = 10$
Hence, the correct answer is option $(c)$.

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MCQ 31 Mark

Mark the correct alternative in the following: How many times does the digit $9$ occur between $1$ and $100$?

A
$11$
B
$15$
C
$18$
✓
$20$

Answer

Correct option: D.

$20$

In units place, i.e., $9, 19, 29, 39, 49, 59, 69, 79, 89, 99$
$9$ occur $10$ times
In ten's place i.e., starting from $90$ to $99$,
$9$ occur $10$ times
$\therefore$ Total $= 20$ times
Hence, the correct answer is option $(d).$

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MCQ 41 Mark

Mark the correct alternative in the following:
The number of $3$ digit numbers formed by using $3, 5, 9$ taking each digit exactly once is:

A
$3$
B
$4$
C
$5$
✓
$6$

Answer

Correct option: D.

$6$

The numbers are $359, 395, 539, 593, 935, 953.$

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MCQ 51 Mark

Mark the correct alternative in the following: The difference between the greatest and the smallest numbers which when rounded off to the nearest thousand as $9000$, is:

A
$1000$
B
$990$
✓
$999$
D
$900$

Answer

Correct option: C.

$999$

$9,499$ is the greatest number that when rounded off to the nearest thousand will become $9,000.$
$8,500$ is the smallest number that when rounded off to the nearest thousand will become $9,000.$
$\therefore$ Difference $= 9,499 - 8,500 = 999$

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MCQ 61 Mark

Mark the correct alternative in the following: Which of the following is not meaningful?

A
$XXIII$
B
$XII$
✓
$XVV$
D
$XIV$

Answer

Correct option: C.

$XVV$

We know that $'V'$ stands for $'5'$ and $'X'$ stands for $'10'$ in RomanSo, we can not write $5$ two times

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MCQ 71 Mark

Mark the correct alternative in the following: The difference between the successor and predecessor of 99999 is:

A
$1$
B
$0$
✓
$2$
D
$- 1$

Answer

Correct option: C.

$2$

Successor of $99999 = 99999 + 1 = 100000$
Predecessor of $99999 = 99999 - 1 = 99998$
Required difference $= 100000 - 99998 = 2$
Hence, the correct answer is option $(c).$

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MCQ 81 Mark

Mark the correct alternative in the following:
The smallest number which when rounded off the nearest hundred as $600$, is:

✓
$550$
B
$595$
C
$604$
D
$599$

Answer

Correct option: A.

$550$

All numbers from $550$ to $649$ are rounded off to the nearest hundred as $600$. Therefore, the smallest number is $550$.

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MCQ 91 Mark

Mark the correct alternative in the following: The total number of $4$ digit numbers is:

A
$8999$
✓
$9000$
C
$8000$
D
$9999$

Answer

Correct option: B.

$9000$

The smallest four-digit number is $1,000$ and the largest four-digit number is $9,999$.
$\therefore$ Total number of four-digit numbers $= (9,999 - 1,000 ) + 1 = 9,000$

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MCQ 101 Mark

Mark the correct alternative in the following:
The difference between the greatest and smallest numbers which when rounded off a number to the nearest tens as $540,$ is:

A
$10$
✓
$9$
C
$8$
D
$10$

Answer

Correct option: B.

$9$

$544$ is the greatest number that when rounded off to the nearest tens will become $540.$
$535$ is the least number that when rounded off to the nearest tens will become $540.$
$\therefore$ Difference: $544 - 535 = 9$

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MCQ 111 Mark

Mark the correct alternative in the following: How many lakhs are there in one million?

A
$100$
✓
$10$
C
$1000$
D
None of these.

Answer

Correct option: B.

$10$

We know $1$ million $= 10$ lakhs
Hence, the correct answer is option $(b).$

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MCQ 121 Mark

Mark the correct alternative in the following: The largest three digit number having distinct digits is:

✓
$987$
B
$789$
C
$999$
D
$900$

Answer

Correct option: A.

$987$

The largest three distinct digits are $9, 8$ and $7$.
So, the largest number using these digits can be obtained by arranging the digits in descending order.

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MCQ 131 Mark

Mark the correct alternative in the following:
The difference between the largest three digit number and the largest three digit number with distinct digits is:

A
$10$
B
$0$
✓
$12$
D
$13$

Answer

Correct option: C.

$12$

The largest three-digit number $= 999$
The largest three-digit number with distinct digits $= 987$
$\therefore$ Difference $= 999 - 987 = 12$

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MCQ 141 Mark

Mark the correct alternative in the following: The difference between the place value and face value of $8$ in $357864$ is:

A
$808$
B
$800$
✓
$792$
D
None of these.

Answer

Correct option: C.

$792$

Place value of $8 = 8 \times 100 = 800$
Face value of $8 = 8$
Required difference $= 800 - 8 = 792$
Hence, the correct answer is option $(c)$.

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MCQ 151 Mark

Mark the correct alternative in the following: The largest three digit number formed by the digits $8, 5, 9$ is:

A
$859$
✓
$985$
C
$958$
D
$589$

Answer

Correct option: B.

$985$

largest number is formed by writing the digits in descending order.

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MCQ 161 Mark

Mark the correct alternative in the following: The greatest number which when rounded off to the nearest thousand as $7000,$ is:

A
$6500$
B
$6549$
✓
$7499$
D
$6499$

Answer

Correct option: C.

$7499$

All numbers from $6,500$ to $7,499$ are rounded off to the nearest thousand as $7,000$.
Therefore, the greatest number is $7,499$.

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MCQ 171 Mark

Mark the correct alternative in the following:
One trillion equals:

A
$100$ billion
B
$10$ billion
✓
$1000$ billion
D
None of these

Answer

Correct option: C.

$1000$ billion

We know $1$ trillion $= 1000$ billions
Hence, the correct answer is option $(c)$.

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MCQ 181 Mark

Mark the correct alternative in the following: The difference between the greatest and smallest numbers which when rounded off a number to the nearest hundred as $6700$, is:

A
$100$
✓
$99$
C
$98$
D
$101$

Answer

Correct option: B.

$99$

$6,749$ is the greatest number that when rounded off to the nearest hundred will become $6,700$.
$6,650$ is the least number that when rounded off to the nearest hundred will become $6,700.$
$\therefore$ Difference$ = 6,749 - 6,650 = 99$

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MCQ 191 Mark

Mark the correct alternative in the following: The product of the place values of two three in $53432$ is:

A
$9000$
✓
$90000$
C
$10000$
D
$99000$

Answer

Correct option: B.

$90000$

The $3$ in the second place from right is at tens place.
Therefore, the place value of $3$ at tens place $= 30.$
The $3$ in the fourth place from right is at thousands place.
Therefore, the place value of $3$ at thousands place $= 3,000.$
The product of the place values of two $3's = 3,000 \times 30 = 90,000.$

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MCQ 201 Mark

Mark the correct alternative in the following: The smallest counting number is:

A
$0$
✓
$1$
C
$10$
D
None of these.

Answer

Correct option: B.

$1$

The smallest digit is $0$, but the smallest counting number is $1$.

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MCQ 211 Mark

Mark the correct alternative in the following: Which of the following numbers is equal to $1$ billion?

A
$10$ lakh
B
$1$ crore
C
$100$ lakh
✓
$100$ crore

Answer

Correct option: D.

$100$ crore

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MCQ 221 Mark

Mark the correct alternative in the following:
$1827$ when rounded off to the nearest hundred is:

A
$1900$
B
$1820$
C
$1850$
✓
$1800$

Answer

Correct option: D.

$1800$

In $1827$ the last two digits i.e., $27$ is less than $50$.
Hence, the $3$rd last digit will remain same and the last two digits become zero
Hence, $1827$ when rounded off to the nearest hundred is $1800$
Hence, the correct answer is option $(d)$.

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MCQ 231 Mark

Mark the correct alternative in the following: One billion equals:

A
$1$ crore
B
$10$ crore
✓
$100$ crore
D
$1000$ crore

Answer

Correct option: C.

$100$ crore

We know $1$ billion $= 100$ crores
Hence, the correct answer is option $(c)$.

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MCQ 241 Mark

Mark the correct alternative in the following: How many three digit numbers are there in all?

A
$100$
B
$101$
C
$99$
✓
None of these

Answer

Correct option: D.

None of these

There are $10$ digits i.e., $0, 1, 2, 3, 4, 5, 6 ,7, 8, 9$ We can not use $'0\ '$ at the hundred's place.
So, we can use only $9$ digits at the hundred's place.
Also, we can use $10$ digits at the remaining two places.
So, total numbers of $3-$digit numbers $= 9 \times 10 \times 10 = 900$
The total number of $3-$digit numbers $= 900$
Disclaimer: none of the given options is correct.

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MCQ 251 Mark

Mark the correct alternative in the following: Ten millions equal to:

A
$10$ lakh
✓
$1$crore
C
$10$crore
D
$11$lakh

Answer

Correct option: B.

$1$crore

We know $1$ million $= 10$ lakhs
$\therefore$ $10$ millions $= 10 \times 10$ lakhs $= 1$ crore
Hence, the correct answer is option $(b).$

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MCQ 261 Mark

Mark the correct alternative in the following:
Which of the following is not meaningful?

A
$XIV$
B
$XXXV$
C
$XXV$
✓
$VX$

Answer

Correct option: D.

$VX$

We know that $'V'$ stands for $'5'$ and $'X'$ stands for $'10'$ in Roman
So, we can not write $5$ before $10$.

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MCQ 271 Mark

Mark the correct alternative in the following: The smallest three digit number having three distinct digits is:

A
$123$
B
$101$
✓
$102$
D
$201$

Answer

Correct option: C.

$102$

The three distinct smallest digits are $0, 1$ and $2$.
To form a smallest number using these digits, we need to arrange them in ascending order, but by this we get $012$, which results in a two-digit number.
So, the smallest three-digit number having distinct digits is $102$.

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MCQ 281 Mark

Mark the correct alternative in the following: In the international place vlaue system, we write one million for:

A
$1$ lakh
✓
$10$ lakh
C
$100$ lakh
D
$1$ crore

Answer

Correct option: B.

$10$ lakh

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MCQ 291 Mark

Mark the correct alternative in the following: Total number of numbers which when rounded off to nearest ten give us $200$ is:

A
$9$
✓
$10$
C
$8$
D
$7$

Answer

Correct option: B.

$10$

The numbers that when rounded off to nearest tens give us $200$ are $195, 196, 197, 198, 199, 200, 201, 202, 203, 204.$

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

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