A. 25 days
B. 28 days
C. 30 days
D. 32 days
A. 19/52
B. 17/52
C. 5/13
D. 4/13
Explanation:
P(SᴜK) = P(S) + P(K) – P(S∩K), where S denotes spade and K denotes king.
P(SᴜK) = 13/52 + 4/52 – 1/52 = 4/13
A. Rs.3600
B. Rs.4000
C. Rs.4500
D. Rs.3000
Explanation:
X * (90/100) * (80/100) * (75/100) = 1944
X * 0.9 * 0.8 * 0.75
X = 1944/0.54
X = 3600
A. 18
B. 20
C. 24
D. 30
Explanation:
Average = (10 + 15 + 20 + 25 + 30)/5 = 100/5 = 20
A. 18, 20, 22
B. 20, 22, 24
C. 22, 24, 26
D. 24, 26, 28
Explanation:
Three consecutive even natural numbers be 2x – 2, 2x and 2x + 2.
(2x – 2)2 + (2x)2 + (2x + 2)2 = 1460
4×2 – 8x + 4 + 4×2 + 8x + 4 = 1460
12×2 = 1452 => x2 = 121 => x = ± 11
As the numbers are positive, 2x > 0. Hence x > 0. Hence x = 11.
Required numbers are 20, 22, 24.
A. 16 toffees
B. 20 toffees
C. 25 toffees
D. 24 toffees
Explanation:
He sells 20 toffees
S.P = Rs. 1 and loss = 4%
C.P = (11/96 × 1) = Rs. 25/24
Gain = 20%
S.P = Rs. (120/100 × 25/24) = Rs. 5/4
Rs. 5/4 toffees sold = 20
Rs. 1 toffees sold = (20 × 4/5) = 16
A. 30%
B. 70%
C. 100%
D. 250%
Explanation:
Let C.P. = Rs. 100. Then, profit = Rs. 320, S.P. = Rs. 420
New C.P. = 125% of Rs. 100 = Rs. 125.
New S.P. = Rs. 420
Profit = 420 – 125 = Rs. 295
Required percentage = 295/420 * 100 = 1475/21 = 70%