A. 11 m
B. 12 m
C. 13 m
D. 14 m
A. Rs. 1000
B. Rs. 1200
C. Rs. 1320
D. None of these
A. 1 : 96
B. 1 : 48
C. 1 : 84
D. 1 : 68
Let the length and the breadth of the rectangle be 4x cm and 3x respectively.
(4x)(3x) = 6912
12×2 = 6912
x2 = 576 = 4 * 144 = 22 * 122 (x > 0)
=> x = 2 * 12 = 24
Ratio of the breadth and the areas = 3x : 12×2 = 1 : 4x = 1: 96.
A. 1/26
B. 3/52
C. 15/26
D. 11/26
Explanation:
Let E1 be the event of drawing a red card.
Let E2 be the event of drawing a king .
P(E1 ∩ E2) = P(E1) . P(E2)
(As E1 and E2 are independent)
= 1/2 * 1/13 = 1/26
A. 4800
B. 5760
C. 2880
D. 15000
Explanation:
Treat all boys as one unit. Now there are four students and they can be arranged in 4! ways. Again five boys can be arranged among themselves in 5! ways.
Required number of arrangements = 4! * 5! = 24 * 120 = 2880.
A. 216
B. 192
C. 108
D. 256
Explanation:
HCF of 384, 1296 = 48
48 * 48 * x = 384 * 1296
x = 216
A. 1
B. 14
C. 20
D. 21
Clearly, the numbers which have 1 or 9 in the unit’s digit, have squares that end in the digit 1. Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69.
Number of such numbers = 14.
Required percentage = (14/70 * 100) = 20%