252 can be expressed as a product of primes as_______________?
A. 2 * 2 * 3 * 3 * 7
B. 2 * 2 * 2 * 3 * 7
C. 3 * 3 * 3 * 3 * 7
D. 2 * 3 * 3 * 3 * 7
A. 2 * 2 * 3 * 3 * 7
B. 2 * 2 * 2 * 3 * 7
C. 3 * 3 * 3 * 3 * 7
D. 2 * 3 * 3 * 3 * 7
A. 100
B. 60
C. 30
D. 20
Explanation:
The number of ways to select three men and two women such that one man and one woman are always selected = Number of ways selecting two men and one woman from men and five women
= ⁴C₂ * ⁵C₁ = (4 * 3)/(2 * 1) * 5
= 30 ways.
A. 11/3%
B. 14/3%
C. 12%
D. 14%
A. 12
B. 8
C. 10
D. 9
Part of work completed by A in a day = 1/X Part of work completed by B in a day
= 1/(X+5) (1/X)+(1/(X+5)) = 1/6 (2X+5)/(X²+5X) = 1/6 X²+5X = 6(2X+5) X²-7X-30=0 Solving, X=10
A. 1 year
B. 1.5 years
C. 2 years
D. 2.5 years
6 * 22 = 132
7 * 19 = 133
—————–
1
A. 90730
B. 90725
C. 90715
D. 90720
Explanation:
LCM = 10080
10080) 99999 (8
90720
———
9279
99999 – 9279 = 90720
A. 45 metres
B. 55 metres
C. 450 metres
D. Cannot be determined