A. 24
B. 48
C. 56
D. 60
Explanation:
H.C.F of two numbers divides their L.C.M exactly. Clearly, 8 is not a factor of 60.
A. 7
B. 6
C. 3
D. 4
E. None of these
Explanation:
Investments of X, Y and Z respectively are Rs. 20000, Rs. 25000 and Rs. 30000
Let investment period of Z be x months.
Ratio of annual investments of X, Y and Z is (20000 * 12) : (25000 * 12) : (30000 * x)
= 240 : 300 : 30x = 8 : 10 : x
The of Z in the annual profit of Rs. 50000 is Rs. 14000.
=> [x/ (18 + x)] 50000 = 14000 => [x/ (18 + x)] 25 = 7
=> 25x = 7x + (18 * 7) => x = 7 months.
Z joined the business after (12 – 7) months. i.e., 5 months.
A. Rs. 2160
B. Rs. 3120
C. Rs. 3972
D. Rs. 6240
Explanation:
Let P = Rs. 100. Then, S.I. Rs. 60 and T = 6 years.
R = (100 * 60)/(100 * 6) = 10% p.a.
Now, P = Rs. 12000, T = 3 years and R = 10% p.a.
C.I. = [12000 * {(1 + 10/100)3 – 1}]
= 12000 * 331/1000 = Rs. 3972
A. 6/63
B. 2/63
C. 125/126
D. 1/126
Explanation:
Required probability = 1 – 1/126 = 125/126
A. 260 cm2
B. 240 cm2
C. 280 cm2
D. 220 cm2
A. 15 m
B. 16 m
C. 17 m
D. 20 m
A. 9
B. 8
C. 7
D. 6
1 to 9 = 9 * 9 = 81
1 to 5 = 5 * 10 = 50
5 to 9 = 5 * 8 = 40
5th = 50 + 40 = 90 – 81 = 9