4th Grade > Mathematics
PLAYING WITH NUMBERS MCQs
:
B
Long division method is not the only way to check if a number is divisible by another number. One can use Divisibility Rules also to check divisibility.
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D
A number is divisible by 3 if the sum of its digits is divisible by 3.
Sum of the digits of 87 = 8+7=15
15 is divisible by 3.
Hence, 87 is also divisible by 3.
:
A
A number is divisible by 3 if the sum of its digits is divisible by 3.
In 5763 sum of the digits is = 5+7+6+3=21, which is exactly divisible by 3.
So, 5763 is divisible by 3.
A number is divisible by 4 if its last two digits are divisible by 4. The last two digits in 5763 are 63 which is not divisible by 4.
Hence 5763 is not divisible by 4
5763 is not divisible by 6, as it is an odd number. To be divisible by 6, the number should be divisible by both 3 and 2. Only even numbers are divisible by 2.
A number is divisible by 9 if the sum of its digits is divisible by 9.
In 5763 sum of the digits is = 5+7+6+3=21, which is not divisible by 9.
So, 5763 is not divisible by 9.
Hence 5763 is divisible by 3.
:
A
If 52 is divisible by 4, the next 4th number from 52 should also be divisible by 4.
→ 52+4=56
Hence, 56 is also divisible by 4.
Alternate method
If the last two digits of a number are divisible by 4, then the entire number is divisible by 4.
e.g In 52 last 2 digits are 52 which is divisible by 4.
→ 52÷4=13 with remainder 0.
Similarly, In 56 last 2 digits are 56 which is divisible by 4.
→ 56÷4=14 with remainder 0.
:
B
Total number of pizzas = 2
Number of slices in each pizza = 6
∴ Total number of slices in both the pizzas = 2×6=12
Number of friends = 3
Hence, each friend gets 12÷3=4 slices.
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C
Multiplication is repeated Addition.
1011 is repeatedly added 9 times = 1011 X 9
1011X 9–––––– 9099–––––––
1011 × 9 = 9099
:
A
1 3 7 + 0 5 –––––––– 4 2
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C
1 1 9 7 1 8+ 3 8 3 3 –––––––– 1 3 5 5 1