Q1.
Find the value of 
(a) 9 (b) 6 (c) 7 (d) 8
Solution.
(a) 9
Solution
Q2.
Find the value of x.
(
2/ 3
)3
. (2/ 3
)-6
= (2/ 3
)2x-1
(a) 2 (b) -1 (c) -2 (d) 8
Solution.
(
2/ 3
)
-3
= (
2/ 3
)
2x-1
-3 = 2x - 1
-2 = 2x
x = -1
Solution
Q3.
Find the HCF of 144, 180, 192 .
(a) 18 (b) 16 (c) 12 (d) 40
Solution.
(c) 12
Solution
Q4.
Product LCM and HCF of two numbers is 24 difference of two numbers is 2. find the numbers .
(a) (8,6) (b) (6,5)
(c) (2,4) (d) (6,4)
Solution.
xy = 24
x -y = 2 --------1
(x - y)2 = x2 + y2 - 2xy
4 = x2 + y2 - 48
x2 + y2 = 52
(x + y)2 = x2 + y2
+ 2xy
(x + y)2 = 52 + 48 = 100
x + y = 10 -------2
x - y = 2 --------1
2x = 12
x = 6
y = 4
Solution
Q5.
Product of two numbers is 4107. If their HCF is 37, find smaller number.
(a) 92 (b) 37 (c) 41 (d) 111
Solution.
let numbers are 37x and 37y
(37x)(37y) = 4107
xy = 3
so required number is 37 x 1 = 37
Solution
Q6.
Which are like fraction ?
(a) 1/16, 3/16 (b) 9/4, 7/4 (c) 1/16, 7/4 (d) None of these
Solution.
(a) 1/16, 3/16
Solution
Q7.
Write 0.12434343------- in the form of p/q .
(a) 4132/9990 (b) 1231/9900 (c) 4/3 (d) 12/99
Solution.
= (1243 - 12)/9900
= 1231/9900
Solution
Q8.
Find the value of log 6 + log 1/6.
(a) 0 (b) 1 (c) 6 (d) 3
Solution.
(a) 0
Solution
Q9.
If log102 = 0.3010, find the value log 8 .
(a) 3 (b) 0.9030 (c) 0.6010 (d) 2
Solution.
log 8 = log 23 = 3 log 2
= 3 x 0.3010
= 0.9030
Solution
Q10.
If a, b and c are consecutive number so find the value of log(ac + 1)
(a) 1 (b) 2 (c) 1og b (d) 2 log b
Solution.
a, b, c
a = b - 1 , c = b + 1,
log{(b - 1)(b + 1) + 1} = log(b2 - 1 + 1)
= log b2 = 2log b
Solution
