Mathematics (2018) | Study Mode

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Question 61
A
1.1
B
1.0
C
0.9
D
0.10
Explanation

9 is on one decimal place, the next number to it is 8 which will be rounded up to 1 because it is greater than 5 and then added to 9 to give 10, 10 cannot be written, it will then be rounded up to 1 and added to 0.

So the answer is 1.0


Correct option: B
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Question 62
A
1\(\frac{1}{4}\)
B
2\(\frac{1}{4}\)
C
6
D
10
Explanation

Using law of indices

25\(\frac{1}{2}\) 8\(\frac{-2}{3}\)

= 25 x (\(\sqrt[3]{8}\)) -2

= 5 x 2-2

= 5 x \(\frac{1}{2^2}\) =

\(\frac{5}{4}\) = \(\frac{11}{4}\)

Answer is A


Correct option: A
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Question 63
A

026\(^o\)

B

045\(^o\)

C

210\(^o\)

D

240\(^o\)

Explanation

Cos = \(\frac{adj}{hyp}\)

= \(\frac{300}{600}\)

= 0.5

= Cos - 10.5

= 60

RPQ = PQs

So the bearing of P from Q is 180 + 60 = 240\(^o\)

Answer is D


Correct option: D
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Question 64
A
111
B
121
C
123
D
143
Explanation

54 \(_{eight}\) and 67\(_{eight}\) = 1438

Starting with normal addition, 4 + 7 gives 11

(it is more than the base, 8) 8 goes in 11 just 1 time, remaining 3, the remainder will be written, and the 1 will be added to the sum of 5 and 6 which gives 12 altogether, 8 goes in 12 one time remaining 4, the remainder 4 was written and then the 1 that was the quotient was then written since nothing to add the 1 to.

So answer is 143 in base eight


Correct option: D

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