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Published on: 14/09/2019
Playing with Numbers
Download CBSE Class 8th Standard CBSE Mathematics question papers, sample papers, important questions, and previous year solved papers in PDF format. Get free study materials, NCERT solutions, and exam preparation resources for Class 8th Standard CBSE Mathematics
Questions + Answers key
Take MCQ Mathematics Test
1.
Find a number whose cube is eaual to the number itself but its square is not equal to the number itself.
2.
Check the divisibility of the following number by 5.
400
3.
If 15z7 is a multiple of 3, where z is a digit, find. the least value of z.
4.
Find the generalised form of 206.
5.
If 42z6 is a 4-digit number divisible by 3, find the possible values of z.
6.
Check the divisibility of the following number by 3 and 9: 225
7.
Check the divisibility of the following number by 5: 21
8.
Check the divisibility of the following number by 10: 547
9.
Write a 4-digit number abcd as 1000a+ 100b+ 10c+ d
= (1001a+ 99b+ 11c)- (a- b+ c- d)
=11 (91a+ 9b+ cl+ [(b+ d)- (a+ c)]
If the number abcd is divisible by 11, then what can you say about [(b + d) - (a + c)]?
10.
Check the divisibility of the following numbers by 9: 432
11.
Check the divisibility of the following numbers by 9: 294
12.
Check the divisibility of the following number by 2. 105
13.
Check the divisibility of the following number by 10. 1043
14.
Write the following in the usual form: 100 x 7 + 10 x 1 + 8
15.
Write the following in the usual form: 10 x 5 + 6
1.
-1
2.
We have, 400
This number is divisible by 5 because the number at unit's place is zero.
3.
It is given that 15z7 is a multiple of 3. Sum of digits of 15z7 will be divisible by 3.
1 + 5 + z+ 7 = Multiple of 3
6 + z + 7 = Multiple of 3
13+ z =15
z =15 -13
\(\Rightarrow\) z = 2
Hence, least value of z is 2.
4.
Generalised form of 206 is
206 = 200 + 00 + 6
= 100x2 + 10 x 0 + 1 x 6
which is generalised form of 206.
5.
z can take values 0 or 3 or 6 or 9
6.
Yes, Yes
7.
No
8.
No
9.
If the number abed is divisible by 11, then [(b+d)-(a+c)] must be divisible by 11, i.e [(b + d) - (a + c)] must be 11 or a multiple of 11.
10.
The given number is 432.
Sum of digits = 4 + 3 + 2 = 9
Now, 9 \(\div\) 9 = 1and remainder = 0
which is divisible by 9.
Hence, 432 is divisible by 9.
11.
The given number is 294.
Sum of digits = 2 +9 + 4 = 15
Now, 15 \(\div\) 9 = 1 and remainder = 6
which is not divisible by 9.
Hence, 294 is not divisible by 9.
12.
105
This number is not divisible by 2 because at unit's place there is an odd number.
13.
We have, 1043
This number is not divisible by 10 because its unit place is not equal to zero.
14.
100 x 7 + 10 x 1 + 8 = 700 + 10 + 8 = 718
15.
10 x 5 + 6 = 50 + 6 = 56
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CBSE 8th Standard CBSE Subjects
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