Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
210
1050
21400
25200
Correct answer is A
To form words having 3 consonants and 2 vowels out of 7 consonants and 4 vowels, the number of such words is 7/3C x 4/2C = 35 x 6
= 210
1.47
2.67
3.23
3.47
Correct answer is D
∫5x dx = 5 ∫1x = 5Inx
Since the integral of 1x is Inx
∫2 1∫ 5x dx = 5
dx = 5 (In<2 – InIn1)
= 3.4657
= 3.47
Calculate 243six – 243five expressing your answer in base 10
0
1
26
46
Correct answer is C
Since they are of different base, convert to base 10
243six = (2 x 62) + (4 x 61) + (3 x 60)
= 72 + 24 + 3 = 99 base 10
243six = 2 x 52 + 4 x 51 +3 x 50
50 + 20 + 3 = 73 base 10
Subtracting them, 99 - 73
= 26
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