The area of the largest circle that can be drawn inside a rectangle with sides 18cm and 14cm is_________?
		A. 49 Sq.cm
B. 154 Sq.cm
C. 378Sq.cm
D. 1078 Sq.cm
		A. 49 Sq.cm
B. 154 Sq.cm
C. 378Sq.cm
D. 1078 Sq.cm
		A. 8
B. 12
C. 6
D. 2
Let the sides of the rectangle be l and b respectively.
From the given data,
(√l2 + b2) = (1 + 108 1/3 %)lb
=> l2 + b2 = (1 + 325/3 * 1/100)lb
= (1 + 13/12)lb
= 25/12 lb
=> (l2 + b2)/lb = 25/12
12(l2 + b2) = 25lb
Adding 24lb on both sides
12l2 + 12b2 + 24lb = 49lb
12(l2 + b2 + 2lb) = 49lb
but 2(l + b) = 28 => l + b = 14
12(l + b)2 = 49lb
=> 12(14)2 = 49lb
=> lb = 48
Since l + b = 14, l = 8 and b = 6
l – b = 8 – 6 = 2m.
		A. 600
B. 800
C. 925
D. 1200
Explanation:
(62 % of x – 38 % of x) = 144
or 24 % of x = 144
x = 14400/24 = 600
		A. Rs. 2000
B. Rs. 2200
C. Rs. 2400
D. None of these
Explanation:
Let C.P. be Rs. x.
Then, (1920 – x)/x * 100 = (x – 1280)/x * 100
1920 – x = x – 1280
2x = 3200 => x = 1600
Required S.P. = 125 % of Rs. 1600 = 125/100 * 1600 = Rs. 2000.
		A. 36
B. 24
C. 30
D. 18
Let t be his usual time to reach his office and v be his usual speed.
v = d/t ……….(d is the distance Afnan travels while going to his office)
vt = d
At v1 = 4v/5 ; t1 = t + 6
4v/5 = d/(t + 6)
4v/5* (t + 6) = d
4v/5* (t + 6) = vt
On solving we get,
t = 24 minutes
		A. 18 : 5
B. 7 : 16
C. 5 : 14
D. None of these
Let the length and the breadth of the rectangle be l cm and b cm respectively. Let the side of the square be a cm.
a2 = 4096 = 212
a = (212)1/2 = 26 = 64
L = 2a and b = a – 24
b : l = a – 24 : 2a = 40 : 128 = 5 : 16
		A. Rs.600
B. Rs.500
C. Rs.250
D. Rs.700
Explanation:
Cost price = Rs.500
profit = 20% of 500 = Rs.100
Selling price = Cost price + Profit
= 500 + 100 = 600