Q1. The
radius of a circle is 13 cm and the length of one of its chord is 24 cm. find
the distance of chord from centre.
(a) 10 cm (b) 8 cm
(c) 5 cm (d)
5.5 cm
Ans. (c) Solution:-
from Figure;-
OD2 = (AO2 – AD2)
= (132 – 122) = 25, OD = 5 cm
Q2. On
dividing a number by 4, 5 and 6 we get 2, 3 and 4 as remainder find the highest
possible three digit number.
(a) 958 (b) 858
(c) 959
(d) 956
Ans. (a) Solution: - Given
number :
4 5 6
Remainder
: 2
3 4
Which is equal
to (4-2) (5-2)
(6-2)
Hence number will
be: LCM of [4, 5,
6] – 2 = 60-2 = 58
Highest possible
three digit = 958
Q3. The
average of three 3 number is 17 and that of the first two is 16. Find the third
number.
(a) 15 (b) 16
(c) 17 (d)19
Ans. (d) Solution:- since sum of 3 number = 3*17 = 51
Sum
of first 2 number = 2*16 = 32
Third number = 51-32 = 19
Q4. The
age of Mitali and Pooja is in the ratio 2 : 6, after 5 years the ratio of their
ages will becomes 6 : 8. Find the average of their ages after 10 years.
(a) 12 (b) 13 (c) 14
(d) 15
Ans. (a) Solution:- let
present age of Mitali and Pooja be 2x and 6x
After 5 years , (2x+5)/(3x+5) = 6/8
or 16x +40 = 18x + 30 or x = ½
So Present age are 1 year and 3 years hence after 10 years it
becomes 11 and 13 years.
Average = (11+13)/2 = 12
Q5. The income of Ramesh increase by 10%,
20%, and 30% successively in three years. Find change in his income if present
income is 150000 Rs. Per annum.
(a) 120080 (b) 575000 (c) 257400 (d)
250000
Ans. (c) Solution:-
Percent change in income = 150000* [(1+10/100)(1+20/100)(1+30/100)]
= 150000* 110/100 * 120/100 * 130/100
= 257400 Rs
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