Questions · Page 3 of 3

1 Marks Question

Question 1011 Mark
If a number exactly divides the sum of three numbers, it must exactly divide the numbers separately.
Answer
If a number divides three numbers exactly, it must divide their sum exactly, but vice-versa is not true.
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Question 1021 Mark
Every number is a multiple of itself.
Answer
There are infinite number of multiples of any given number.
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Question 1031 Mark
$24 \times 35 = 24 \times 18 + 24 \times $_______
Answer
Let a be the missing number,
then $24 \times 35 = 24 \times 18 + 24 \times a $
$\Rightarrow 24 \times 35 - 24 \times 18 = 24 \times a $
$\Rightarrow 24(35 - 18) = 24 \times a $
$\Rightarrow 24 \times 17 = 24 \times a$
$\therefore a = 17$
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Question 1041 Mark
If the difference between the sum of digits at odd places (from the right) and sum of digits at even places (from the right) of a number is either $0$ or divisible by , then the number is divisible by _______.
Answer
According to the divisibility test for $11,$ if the difference between the sum of digits at odd places and sum of digits at even places of a number is either $0$ or divisible by $11,$ then number is divisible by $11.$
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Question 1051 Mark
$LCM$ of two or more numbers may be one of the numbers.
Answer
If all the numbers are multiples of same number, then the greatest number among them is their $LCM.$
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Question 1061 Mark
$24 \times 25 = 24\ \times $_____$ /4 = 600$
Answer
Let a be the missing number, then $\times\ 24$
$24 \times 25$
$=24\times\big(\frac{\text{a}}{4}\big)$
$=\big(\frac{24}{24}\big)\times25\times4$
$\Rightarrow\text{a}=100$
$24\times25=24\times\Big(\frac{100}{4}\Big)=600$
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Question 1071 Mark
$LCM$ of two numbers is $28$ and their $HCF$ is $8.$
Answer
Since, $LCM (28)$ is not divisible by $HCF (8).$
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Question 1081 Mark
The number of multiples of a given number is finite.
Answer
There are infinite number of multiples of any given number.
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Question 1091 Mark
Between any two natural numbers, there is one natural number.
Answer
Between any two natural numbers $a$ and $b,$ there are $(b - a - 1)$ natural numbers, where $b > a.$
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Question 1101 Mark
Division of a whole number by ____________ is not defined.
Answer
Division of a whole number by $0$ (zero) is not defined.
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Question 1111 Mark
Writing of numbers from the greatest to the smallest is called an arrangement in __________ order.
Answer
Writing of numbers from the greatest to the smallest is called an arrangement in Descending order.
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Question 1121 Mark
The $HCF$ of two numbers is smaller than the smaller of the numbers.
Answer
Since, $HCF$ of two numbers is either equal to or greater than the smaller of the numbers.
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Question 1131 Mark
The distance between Srinagar and Leh is $422\ km.$ The same distance in metres is ___________.
Answer
The distance between Srinagar and Leh is $422\ km.$
The same distance in metres is $422000\ m.$
Solution: We know that,
$1\ km = 1000\ m $
$422\ km = 422 \times 1000 = 422000\ m$
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1 Marks Question - Page 3 - MATHS STD 6 Questions - Vidyadip