Arithmetic Exercise : Q. 1 to Q.2 , Q.3 to Q. 7 , Q.8 , Q.9 to Q. 15
-
(a). = 15 x 40/100
= 6
(b). = 48 x 150/100
= 72
(c).
(d). 15 is 30% of the number ‘A’ is
A X 30/100 = 15
A = 15 x 10 / 3
= 50
(e). 11 is ‘a’ % of 55
11 = 55 x a/100
= 20%
10.
The increase in salary = 234 -200 = $34
200 is 100 %
So, 34 = 100 x 34/200
= 17%
11.
Decrease in weight = 160 – 152 = 8 pounds
In percentage always take care for base value from which the next value varies.
160 is 100%
So, 8 is = 8 x 100/160
= 5%
-
Stock value of share = $ 40 per share
Increase in value = 20%
20% of 40 = 40 x 20/100
= 8
New value of share after 20% increase = 40 + 8
= 48
Now there is decrease of 25% from $48
25% of 48 = 48 x 25/100
= 12
The value of share after decrease will be = 48 – 12
= $ 36
-
The ratio of men to women = 3:2
Total members = 20
If we take ‘m’ = men
‘n’ = women
m/n = 3/2
m = 3n/2
m + n = 20
3n/2 + n = 20
3n + 2n = 40
5n = 40
n = 40/5 = 8
So, number of women ‘n’ = 8
14.
‘a’ is even and ‘ b’ is odd
‘a’ is even means ‘a’ will be = 2, 4, 6, 8, 10, 12,……….
‘b’ is odd means ‘b’ will be = 1, 3, 5, 7, 9, 11, 13, 15,……….
Pick any even value for ‘a’ and any odd value for ‘b’
(i) a+ 2b = 2 + 2×1 = 2 + 2 = 4 ………..Even
(ii) 2a + b = 2 x 4 + 3 = 8 + 3 = 11 …………Odd
(iii) ab = 6 x 5 = 30 ……………….Even
(iv) ab = 2 3 = 2 x 2 x 2 = 8 ………Even
(v) (a+b)2 = ( 4 + 3 )2 = 7 2 = 49…………….Odd
(vi) a 2 – b 2 = 4 2 – 32 = 7 ………………..Odd
15.
n is a positive integer
n /3 = quotient + 2/3
n / 5 = quotient + 1/5
Use trial and error method ‘ n’ is a positive integer so take the value of ‘n’ such that when it is being divided by 3 the remainder is 2.
As it is given that when ‘n’ is divided by 5 remainder is 1 that means it is more than or equal to 5 + 1 = 6
1. Let, check with n = 6
Hence the least possible positive integer will be 11.
If we divide 11 by 3 the remainder is 2 and if we divide 11 by 5 the remainder is 1.