1801.
A bucket contains a mixture of milk and water in the proportion of 7: 5. If 9 litres of milk is replaced by water, then the ratio
becomes 7:9. How much milk was there in the bucket initially?
(A)
36 litres
(B)
35 litres
(C)
30 litres
(D)
25 litres
1802.
In an isosceles triangle, the vertex angle is four times the sum of the base angles. The measure of the square root of the
vertex angle is:
(A)
16°
(B)
18°
(C)
10°
(D)
12°
1803.
In an election between two candidates, Ananth and Aravind, Ananth got 55% of the total valid votes, and 20% of the votes
were invalid. If the total number of votes was 30,000, find the number of valid votes that Aravind got.
(A)
10800
(B)
1080
(C)
24000
(D)
13200
1804.
Evaluate (9sin θ + 2 cos θ) / (9sin θ − 2cos θ), if 3 tan θ = 4.
(A)
(B)
(C)
(D)
1805.
If ‘÷’ means ‘×’, ‘×’ means ‘÷’, ‘+’ means ‘−’, ‘−’ means ‘+’, then 47 ÷ (10 × 5) + (4 − 5) − 6 is:
(A)
(B)
(C)
(D)
1806.
Two chords AB and CD of a circle are produced to intersect each other at a point P outside the circle. If AB = 7 cm, BP = 4.2
cm and PD = 2.8 cm, then the length of CD is:
(A)
11 cm
(B)
18 cm
(C)
16 cm
(D)
14 cm
1807.
Two numbers are respectively 61% and 35% less than a third number. The first number is what percentage of the second
number?
(A)
24%
(B)
48%
(C)
30%
(D)
60%
1808.
A number is divisible by 11 if and only if the difference of the sum of the digits in the even and odd positions in the number
is:
(A)
0
(B)
1
(C)
0 or multiple of 11
(D)
11
1809.
In an election between two candidates, 15% of the votes were invalid and one candidate got 52% of the total valid votes. If
the total number of votes was 8000, what was the number of valid votes that the other candidate got?
(A)
3264
(B)
3536
(C)
3840
(D)
6800
1810.
If the surface area of the sphere is 616 cm2, then the radius of the sphere is equal to:
