Q1.
The numerator of a fraction is increased by 20% and its denominator is decreased by 10% the value of fraction becomes 3/2. find the original
fraction .
(a) 4/7 (b) 9/8 (c) 2/3 (d) 1/3
Solution.
(b) 9/8
Let original fraction is x/y
120% of x/ 90% of y
=
3/ 2
12x/ 9y
=
3/ 2
x/ y
=
3 x 9/ 12 x 2
Solution
Q2.
How many numbers upto 840 are divisible by 4,3 and 6 together .
(a) 76 (b) 48 (c) 60 (d) 70
Solution.
the the LCM of 4,3 and 6 = 12
840 ÷ 12 = 70
Solution
Q3.
Find the unit's place digit in the product of (526)289 x (1250)40
(a) 0 (b) 1 (c) 2 (d) 3
Solution.
(---6)289 = 6 , (---0)40 = 0
6 x 0 = 0
Solution
Q4.
Find the roots of the equation.
√4y + 1 = √2y - 1
(a) 1 (b) 2 (c) both (d) no root exists
Solution.
(d) no root exists
squaring both sides 4y + 1 = 2y - 1
4y - 1 = -1-1
2y = -2
y = -1
Solution
Q5.
Evaluate (18)3 - (10)3 - (8)3
(a) 4320 (b) 1000 (c) 2960 (d) 4831
Solution.
Note : a3 + b3 + c3 = 3abc
a + b + c = 0
= 3 x 18 x 10 x 8
= 4320
Solution
Q6.
LCM and HCF of two numbers are 84 and 21 respectively and the ratio of two numbers are 1:4 . find the smallest number.
(a) 84 (b) 19 (c) 21 (d) 41
Solution.
HCF divides both the numbers exactly = 1 x 21 = 21
Solution
Q7.
A fraction whose numerator is equal to or greater than the denominator is called improper fraction.
(a) yes (b) no
(c) can't say
Solution.
(a) yes
Solution
Q8.
The (2/10)th of square of a number is 20, find cube of the number.
(a) 10000 (b) 100
(c) 1000 (d) 10
Solution.
(2/10)x2 = 20
x2 = 100
x = 10
Solution
Q9.
Find x .
(x + 3) log 3 = 2log 9
(a) 2 (b) 1 (c) 3 (d) 4
Solution.
log 3(x + 3) = log 92
log 3(x + 3) = log 34
x + 3 = 4
x = 1
Solution
Q10.
Find x .
log(x2 - 3) = 0
(a) 5 (b) 4 (c) 2 (d) 1
Solution.
log(x2 - 3) = log 1
x2 - 3 = 1
x2 = 4
x = 2
x = 2
Solution
