1211.
If x = 3y + 4, then what is the value of (x3 - 27y3 – 36 xy) ?
(A)
27
(B)
64
(C)
1
(D)
8
1212.
The value of 30 + 180 ÷ 30 × 6 − 15 − 16 − 60 ÷ 3 − 15 is:
(A)
1
(B)
3
(C)
2
(D)
0
1213.
Find the total surface area of a hemisphere with a radius of 11 cm?
(A)
242π cm2
(B)
313π cm2
(C)
273π cm2
(D)
363π cm2
1214.
A doll is marked for ₹2,500. A customer pays ₹1,800 for it. If the customer got a series of two discounts and the rate of the first discount is 10%, then the rate of the second discount is:
(A)
25%
(B)
18%
(C)
15%
(D)
20%
1215.
Find the value of cosecθ (1 − cosθ) (cosecθ + cotθ).
(A)
-1
(B)
2
(C)
0
(D)
1
1216.
Find the value of (13.49 + 12.51) × 13.
(A)
238
(B)
338
(C)
438
(D)
138
1217.
A merchant bought two watches for ₹9,000 each. He sold one watch at a loss of 10%. At what price (in ₹) should he sell the other watch to earn a profit of 18% overall?
(A)
14,130
(B)
14,310
(C)
13,140
(D)
13,410
1218.
The strength of a school increases and decreases every alternate year by 15%. If it started with an increase in 2012, then the strength of the school in the beginning of 2015, as compared to that in 2012, had (correct to two decimal places):
(A)
Decreased by 12.41%
(B)
Increased by 12.41 %
(C)
Decreased by 13.85 %
(D)
Increased by 13.85 %
1219.
In an election, the winner was supported by 46% of all the voters in the list, and he got 410 votes more than his only rival. 10% of the voters on the voters’ list did not cast their votes, and 60 voters cast their ballot papers blank. How many voters were on the list?
(A)
17445
(B)
16550
(C)
17500
(D)
15750
1220.
Two circles with centers B and D have radii DA = 8 cm and BC = x cm, respectively. AC is tangent to both circles. If DB and AC intersect the point E, AE = 12 cm and EC = 18 cm, then find the value of x (in cm).
