Practice the AP 8th Class Maths Bits with Answers Chapter 15 Playing with Numbers on a regular basis so that you can attempt exams with utmost confidence.

## AP State Syllabus 8th Class Maths Bits 15th Lesson Playing with Numbers with Answers

Question 1.
Which of the following is divisible by 2?
A) 41
B) 449
C) 573
D) 8096
D) 8096

Question 2.
Which of the following is divisible by 3?
A) 76
B) 123
C) 457
D) 9082
B) 123

Question 3.
Which of the following is divisible by 5?
A) 11
B) 1101
C) 1001
D) 1100
D) 1100

Question 4.
Which of the following is divisible by ‘7’?
A) 4277
B) 3513
C) 862
D) 4675
A) 4277

Question 5.
Which of the following is divisible by ’11’?
A) 12325
B) 56478
C) 13431
D) 122
C) 13431

Question 6.
Every palindrome number is divisible by
A) 13
B) 17
C) 19
D) 11
D) 11

Question 7.
Which of the following is divisible by ‘9’?
A) 1134
B) 1235
C) 1236
D) 1237
A) 1134

Question 8.
876123 is divisible by
A) 999
B) 877
C) 109
D) Both A & B
D) Both A & B

Question 9.
The sum of the numbers which are divisible by 5 from 1 to 50 is
A) 285
B) 275
C) 295
D) 265
B) 275

Question 10.
If 7A – 16 = A9 then A =
A) 3
B) 4
C) 5
D) 7
C) 5

Question 11.
If 73K ÷ 8 = 9L then K + L =
A) 2
B) 4
C) 6
D) 8
D) 8

Question 12.
then H = ?
A) 0
B) 1
C) 2
D) 3
Answrer:
A) 0

Question 13.
Which of the following divides (n3 – n)?
A) 1
B) 2
C) 3
D) 5
C) 3

Question 14.
If a number is divisible by ‘5’ then its units digit be ……………….
A) 0
B) 5
C) A & B
D) None
C) A & B

Question 15.
(a3 – b3) ÷ (a – b) = ………………
A) a2 + ab + b2
B) a – ab + b2
C) a2 – ab – b2
D) a – b2
A) a2 + ab + b2

Question 16.
Sum of first ‘n’ natural numbers is ………………..
A) $$\frac{n+3}{2}$$
B) $$\frac{\mathrm{n}}{2}$$
C) $$\frac{\mathrm{n}-1}{2}$$
D) $$\frac{n(n+1)}{2}$$
D) $$\frac{n(n+1)}{2}$$

Question 17.
If a number 24P is divided by 3 the remainder is 1 and when divided by 5 the remainder is 2 then the value of P is …………………..
A) 2
B) 7
C) 10
D) 9
B) 7

Question 18.
If 50B is divisible by 5 then B = …………………
A) 0 or 5
B) 0 or 9
C) 1 or 6
D) 3 or 4
A) 0 or 5

Question 19.
The largest number of two digits which is divisible by 2, 5, 10 is ………………….
A) 70
B) 80
C) 90
D) 60
C) 90

Question 20.
1, 2, 3, 4, 6, 8, 12, 24 are the multiples of ……………….
A) 24
B) 42
C) 13
D) 18
A) 24

Question 21.
No. of rectangles in the figure are ………………
A) 9
B) 10
C) 8
D) 11
B) 10

Question 22.
22 + 23 + 24 = ……………….
A) 28
B) 13
C) 10
D) 16
A) 28

Question 23.
322 = ……………..
A) 1004
B) 3010
C) 1204
D) 1024
D) 1024

Question 24.
The sum of all numbers that are divisible by 3 from 11 to 1000 is ………………
A) 766155
B) 766118
C) 166815
D) 766815
C) 166815

Question 25.
In this A = ……………..
A) 7
B) 6
C)10
D) 9
D) 9

Question 26.
In this P = ………………..
A) 3
B) 14
C) 9
D) 4
A) 3

Question 27.
The number divisible by 2,5 and 10 is ………………
A) 16
B) 40
C) 19
D) 12
B) 40

Question 28.
$$\frac{a^{5}+b^{5}}{a-b}$$ = …………………
A) a4 – b
B) a – b4
C) a – b2
D) None
D) None

Question 29.
The general form of a four digit number p q r s is ………………..
A) 1000a + 100p + r + 10s
B) 100p + 10q + r + s
C) 1000a + p + r
D) 1000p + 100q + 10r + s
D) 1000p + 100q + 10r + s

Question 30.
a b c is a 3 digited number then abc – a – b – c is divisible by ……………….
A) 13
B) 11
C) 9
D) 10
C) 9

Question 31.
Which of the following is divisible by 99?
A) 114345
B) 3572406
C) 913462
D) 135792
A) 114345

Question 32.
5A × A = 399 then the value of A = ………………
A) 3
B) 7
C) 4
D) 6
B) 7

Question 33.
If the sum of the digits of a number is divisible by 3 then it is divisible by ……………..
A) 7
B) 5
C) 4
D) 3
D) 3

Question 34.
2x ÷ 0 ………………
A) 0
B) x
C) 2
D) not defined
D) not defined

Question 35.
abc is a 3 digited number then abc + bca + cab is not divisible by …………….
A) a + b + c
B) 3
C) 37
D) 10
C) 37

Question 36.
In this A = …………………
A) 6
B) 5
C) 1
D) 3
B) 5

Question 37.
In the above problem B = ……………..
A) 7
B) 6
C) 8
D) 1
D) 1

Question 38.
In this A = ………………
A) 7
B) 6
C) 4
D) 3
A) 7

Question 39.
In the above problem B = ……………..
A) 5
B) 9
C) 6
D) 4
D) 4

Question 40.
Which of the following is divisible by 9?
A) 108
B) 111
C) 112
D) 110
A) 108

Question 41.
In this A = ……………
A) 2
B) 4
C) 6
D) 3
A) 2

Question 42.
In the above problem D = ……………….
A) 8
B) 6
C) 9
D) 1
C) 9

Question 43.
One of the multiples of 9 is ………………
A) 87
B) 33
C) 45
D) 50
C) 45

Question 44.
Σn = ……………
A) $$\frac{n(n+1)}{2}$$
B) $$\frac{n(n-1)}{2}$$
C) $$\frac{n}{2}$$
D) $$\frac{n+1}{2}$$
A) $$\frac{n(n+1)}{2}$$

Question 45.
1 + 1 + …………… + 10 times = …………..
A) 1
B) 9
C) 12
D) 10
D) 10

Question 46.
1 – 1 + 1 – 1 + ……………… 9 times = …………..
A) -1
B) 2
C) 1
D) 9
C) 1

Question 47.
12 + 22 + 32 + ……………. n2 = ………….
A) $$\frac{n^{2}(n+1)^{2}(2 n+1)}{6}$$
B) $$\frac{n(n+1)(2 n+1)}{6}$$
C) $$\frac{n(n+1)}{4}$$
D) None
B) $$\frac{n(n+1)(2 n+1)}{6}$$

Question 48.
Which of the following is divisible by 11?
A) 151
B) 1331
C) 1211
D) 1334
B) 1331

Question 49.
General form of an even number ……………….
A) 1 + 2n
B) $$\frac{\mathrm{n}}{2}$$
C) 2n
D) $$\frac{2}{n}$$
A) $$\frac{n^{2}(n+1)^{2}}{4}$$
B) $$\frac{n(n+1)}{2}$$
C) $$\frac{n(n-1)}{4}$$
D) $$\frac{n(n+3)}{4}$$
A) $$\frac{n^{2}(n+1)^{2}}{4}$$