1211.
In a circle, ABCD is a cyclic quadrilateral in which AE is drawn parallel to CD, and BA is produced to F. If ∠ABC = 85° and
∠FAE = 24°, find the value of ∠BCD.
(A)
125°
(B)
115°
(C)
124°
(D)
119°
1212.
Find the number when successively divided by 3,5and 7 leaves remainder 2,1and 3, respectively, and the last quotient is 3.
(A)
360
(B)
362
(C)
365
(D)
367
1213.
The respective ratio between numerical values of the curved surface area and the volume of a right circular cylinder is 2 : 3.
If the respective ratio between the radius and the height of the cylinder is 3 : 7, what is the total surface area of the cylinder?
(A)
(B)
(C)
(D)
1214.
The age of the older of two boys is thrice that of the younger. 9 years ago it was five times that of the younger. Find the
present age of each.
(A)
15 years, 45 years
(B)
12 years, 36 years
(C)
17 years, 51 years
(D)
18 years, 54 years
1215.
Mohan gets 12% increase in his sale amount in the first year and 15% increase in the second year, with that his present sale
is ₹1,28,800. What was his sale two years ago?
(A)
₹1,25,000
(B)
₹1,50,000
(C)
₹1,75,000
(D)
₹1,00,000
1216.
The surface area of a cube is 486 cm2 Find the volume.
(A)
(B)
(C)
(D)
1217.
A man walking at the speed of 5 km/h covers a certain distance in 3 hours 45 minutes. If he covers the same distance by a
cycle in 2 hours 10 minutes, then the speed of the cycle in km/h is:
(A)
(B)
(C)
(D)
1218.
If PQ and PR are the two tangents to a circle with center O, and ∠QOR=150°, then ∠QPR is equal to:
(A)
60°
(B)
30°
(C)
90°
(D)
45°
1219.
The ratio of the diameters of two spheres is given as 1 : 4. The larger sphere is melted and 125 identical spheres are made
out of the molten material. The smaller sphere is melted and 27 identical spheres are made out of the molten material. If the
ratio of the volume of each of the 125 identical spheres to the volume of each of the 27 identical spheres is given as 1 : m,
what is the value of m?
(A)
(B)
(C)
(D)
1220.
What will be the least value of x so that the 5-digit number 627x5 becomes divisible by 9?
