Explanation:-

Answer: Option A. -> True
:
A
If 52 is divisible by 4, the next 4th number from 52 should also be divisible by 4.
$\to$ $52+4=56$
Hence, 56 is also divisible by 4.
Alternate method
If the last two digits of anumber are divisible by4, then the entire number is divisible by4.
e.g In 52 last 2 digits are 52 which is divisible by 4.
$\to$ $52÷4=13$ with remainder 0.
Similarly, In 56last 2 digits are 56 which is divisible by 4.
$\to$ $56÷4=14$ with remainder 0.

Explanation:-

Answer: Option A. -> 22
:
A
Given:
Number of students going on a trip = $88$
Number of school buses = $4$
If there are an equal number of students in each bus, then
The number of students in each bus = $88÷4=22$

There are 22 students in each bus.

Explanation:-

Answer: Option A. -> 91
:
A
$156\underset{–}{+35}91$
The value is 91.

Explanation:-

Answer: Option B. -> False 
:
B
Long division method is not the only way to check if a number is divisible by another number. One can use Divisibility Rules alsoto check divisibility.

Explanation:-

Answer: Option C. -> 9099
:
C
Multiplication is repeated Addition.
1011 is repeatedly added 9 times = 1011 X 9
$1011\underset{–}{X9}\underset{–}{9099}$
1011 $\times$ 9 = 9099

Explanation:-

Answer: Option B. -> 4 slices
:
B
Total number of pizzas = $2$
Number of slices in each pizza = $6$
$\therefore$ Total number of slices in both the pizzas = $2\times 6=12$
Number of friends = $3$
Hence, each friend gets $12÷3=4$ slices.

Explanation:-

Answer: Option B. -> 10 km
:
B
Monday to Friday = 5 days
Distance travelled by A in 1 day

Distance travelled by B in 1 day

Total distance travelled by A in 5 days
= $2\times 5=10km$
Total distance travelled by B in 5 days
= $4\times 5=20km$
So, B travels $(20-10)$ km= 10 kmmore than A from Monday to Friday.

Explanation:-

Answer: Option D. -> Check if the sum of digits is divisible by 3.
:
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.

Explanation:-

Answer: Option C. -> 13551
:
C
$119718+\underset{–}{3833}13551$

Explanation:-

Answer: Option A. -> 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 4if itslast two digits aredivisible 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 by6, 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.